Find both unit rates.



: An object traveled 691.12 feet in 21.2 seconds.



Question 1 options:




A: 32.6 s/ft and approximately 0.03 s/ft




B: 32.6 ft/s and approximately 0.03 s/ft




C: 32.6 ft/s and approximately 0.03 ft/s




D: 32.6 s/ft and approximately 0.03 ft/s Warning: Whoever Answers this wrong will be reported. :l

Answers

Answer 1

The unit rate is 32.6 ft/s and approximately 0.03 s/ft.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

An object traveled 691.12 feet in 21.2 seconds.

So, the unit rate as feet per second.

= 691.12/ 21.2

= 32.6 ft/s

and, the unit rate as second per feet

= 21.2/ 691.12

= 0.03 s/ ft

Hence, the unit rate is 32.6 ft/s and approximately 0.03 s/ft

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Related Questions

Please help!!

5x -10y = 10
x + 2y = -18

(Enter the solution like this: ( , ) )

Answers

The value to the system of equations is (-10, -4)

How to determine the solution to the system of equations?

In this case, the system of equations is given as

5x -10y = 10

x + 2y = -18

Make x the subject in the second equation

So, we have the following representation

x = -2y - 18

Substitute x = -2y - 18 in the equation 5x -10y = 10

So, we have

5(-2y - 18) -10y = 10

Open the brackets

This gives

-10y - 90 - 10y = 10

Evaluate the like terms

-20y = 80

Divide by -20

y = -4

Recall that x = -2y - 18

So, we have

x = -2 * -4 - 18

Evaluate

x = -10

Hence, the solution is (x, y) = (-10, -4)

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A school is arranging a field trip to the zoo. The school spends 526.26 dollars on passes for 47 students and 2 teachers. The school also spends 401.38 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student

Answers

The total amount of money spent on pass and lunch for each student is $19.28.

How much is spent on lunch and a pass?

The first step is to determine the amount that was spent on a pass for each student. The cost of one pass can be determined by dividing the total amount spent on passes by the total number of teachers and students.

Cost of one pass = total amount spent on one pass / total number of people

Cost of one pass = 526.26 / (47 + 2)

Cost of one pass = 526.26 / 49

Cost of one pass = $10.74

The second step is to determine the amount spent on lunch for one student. This can be determined by dividing the total amount spent on lunch by the total number of students.

Cost of one lunch = total cost of lunch / total number of students

401.38 / 47 = $8.54

Total amount spent on pass and lunch for each student = cost of lunch for one student + cost of a pass for one student

$8.54 + $10.74 = $19.28

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Identify the solution of the inequality |9m| + 40 > 4 and the graph that represents it.

Answers

Answer:

B) All real numbers

===========================

Given

Inequality |9m| + 40 > 4

Solution

|9m| + 40 > 4|9m| > - 40 + 4|9m| > - 36|m| > - 4

Since absolute value is never negative, this inequality is correct for any value of m.

Correct answer choice is B.

Answer:

All real numbers.

Step-by-step explanation:

The bars either side of an expression or a value are the absolute value symbol. "Absolute value" means how far a value is from zero. Therefore, the absolute value of a number is its positive numerical value.

Given inequality:

[tex]|9m|+40 > 4[/tex]

Subtract 40 from both sides to isolate the absolute value on one side of the equation:

[tex]\implies |9m|+40-40 > 4-40[/tex]

[tex]\implies |9m| > -36[/tex]

As the absolute value of a number or expression is its positive numerical value:

[tex]\implies |9m| \geq 0[/tex]

Therefore, as 9m is always greater than or equal to zero, it will always be greater than -36, regardless of the value of m.

Therefore, the solution of the given inequality is all real numbers.

This is my last question help me please

Answers

Answer:

Line 1:  [tex]y=-x+2[/tex]

Line 2:          [tex]y=2x-1[/tex]

Step-by-step explanation:

Line 1

Staring with line one, let's find the slope!

Between the two known points, the rise, or change in y, is 2, and the run, or change in x, is -2. The slope is the rise over the run, so:

[tex]-\frac{2}{2} =-1[/tex]

The slope is negative 1! The line crosses the y-axis at [tex]y=2[/tex], so 2 is the y-intercept. Using the slope-intercept formula, the equation is:

[tex]y=-x+2[/tex]

Line 2

To find the slope of line 2, find the rise and the run between the two known points! The rise is 4, and the run is 2. Simplified, this is:

[tex]\frac{4}{2} =2[/tex]

The slope is 2! The line crosses the y-axis at [tex]y=-1[/tex], so -1 is the y-intercept. Using the slope-intercept formula, the equation is:

[tex]y=2x-1[/tex]

Answer:

y=2x-1 , y=x+2 , the solution of the system is (1,1)

Step-by-step explanation:

Lines can be expressed in the form y=mx+b where m is the slope and b is the y-intercept.

m= rise/run

Looking at the blue line:

m =2/1 =2

The slope is 2 since you rise 2 squares and run to the right one square.

We see that the line crosses the y-axis at (0,-1) so the y-intercept is -1.

Putting it all together: y=2x-1

Looking at the red line:

m = -1 / 1 = -1

We see that the line crosses the y-axis at (0,2) so the y-intercept is 2.

Putting it all together: y=1x+2 or simply y=x+2

The solution to the system is the point that satisfies both equations. Rather than solving it algebraically, we can simply look at the graph and find a point that is on both lines, aka the intersection. In this case, the intersection is (1,1).

Find two positive numbers for which the product is 196 and the sum of the first plus four times the second is a minimum. ONE of these numbers is B) 14 C) 12 D) 8 E) 7

Answers

Minimum  number is 33+4*6= 57

Give us two positive numbers, x and y.

196 is the result: x*y = 19

The minimum is the product of the first plus four times the second: x + 4y.

The first equation results in y = 196/x. Put that into the second equation as a replacement:

x + 4y = x + 4(196/x) = x + 784/x

Taking the first derivative now, we can solve for x by setting it to zero.

d(x + 784/x)/dx = 1 - 784/[tex]x^{2}[/tex]

0 = 1 - 784/[tex]x^{2}[/tex]

0 = [tex]x^{2}[/tex]- 784 [[tex]x^{2}[/tex] multiplied on both sides]

784 = [tex]x^{2}[/tex]

[tex]\sqrt{784}[/tex] = [tex]\sqrt{x^{2} }[/tex]

Y = 196/x = 7 since we want a positive integer, hence x = 28

The factors of 196 are 196*1, 99*2, 66*3, 6*33,22*19, and 11*18 as a check.

196 + 4*1 = 200

99 + 4*2 = 107

66 + 4*3 = 78

33+4*6= 57

22 + 4*19 = 98

11 + 4*18=82

In fact, 33+4*6= 57 is minimum.

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Transform y=-2x + 5 into an equivalent equation that is in standard form

Answers

Answer: The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side. Use inverse operations to move terms.

Step-by-step explanation:

Ue Greatet Common Factor (GCF) and the Ditributive Property to write 3550 a a product

Answers

By using GCF and distributive Property, it is obtained that

3550 = 5 [tex]\times[/tex] 710 as a product

What is Greatest Common Factor and distributive property?

Greatest Common factor (GCF) of two numbers a and b is the greatest number that divides both a and b.

Distributive property is the property over both addition and multiplication.

If a, b and c are three numbers, then distributive property is given by

[tex]a \times (b + c) = a \times b + a \times c[/tex]

3550 = 3000  + 550

Now,

[tex]3000 = 2\times 2 \times 2\times 3\times 5 \times 5 \times 5\\550 = 2 \times 5 \times 5 \times 11[/tex]

GCF of 3000 and 550 = 5

3550 = 5 [tex]\times[/tex] 600 + 5 [tex]\times[/tex] 110

3550 = 5 [tex]\times[/tex] (600 + 110) [Distributive Property]

3550 = 5 [tex]\times[/tex] 710

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If the perimeter of the window is 28 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted.

Answers

the exact value of x, so that the greatest possible amount of light is admitted is 3.92 ft.

let x represents the radius of a semicircle, thus the width of the rectangle = 2x, length be y.

perimeter of the rectangular window = πx + 2y + 2x = x(π +2) + 2y

it is given that the perimeter is 28 ft.,

28 = x(π +2) + 2y

y = 28 - x(π +2) / 2

the area of the window A = 1/2 πx² = 2yx ( area of semicircle + area of rectangle)

A = 1/2 πx² + 2x [(28 - x(π +2) / 2]  (Substituting the value of y)

A = 1/2 πx² + 28x - πx² - 2x²

A = 28x - x² ( 2 + π/2 )

The maximum value of x is when dA/dx = 0

A' = 28- 2x ( 2 + π/2 )

2x ( 2 + π/2 ) = 28

x ( 2 + π/2 ) = 14

x = 3.92 ft

hence the value of x so that the greatest possible amount of light is admitted is 3.92 ft.

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(complete question)

A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle. See the figure below.) If the perimeter of the window is 28 ft, find the value of x so that the greatest possible amount of light is admitted.

Which of the following are solutions to the equation below?
Check all that apply.
(2x+3)² = 10
x= √2/2
A. x=
□ B. x-10-3
2
C. x= -√/10 +
5 + 2/1/2
☐ D. x =
-10-3
2
<= -√
2
☐ E. x = -
32
OF. x= √10 +
332

Answers

The solutions for the equation (2x+3)² = 10 is:

x=√10-3/2x=-√10-3/2

Given:

the equation is:

(2x+3)² = 10

we need to solve the following equation.

⇒ (2x+3)² = 10

taking square roots on both sides.

⇒ √(2x+3)² = √10

⇒ 2x+3=±√10

Now solving:

2x+3=√10 and 2x+3=-√10

2x=√10-3 and 2x=-√10-3

x=√10-3/2 and x=-√10-3/2

Hence we get the solutions of the given equation.

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You can buy 3 apples at the quick market for $1.26 you can buy 5 of the same apples at the stop and save for $2.55 witch place is better buy

Answers

Answer:

quick market

Step-by-step explanation:

because it more cheaper

Here are two closed containers and four balls just fit in each container. Container A Container B Curved surface area of a cylinder is 2лrh Each ball has a diameter of 60 mm. Which container has the smaller surface area? You must show your working (using mm). Your final line should say either, 'A is smaller' or 'B is smaller'.​

Answers

There are two closed containers and four balls can just fit in each of the containers, then container A has a smaller surface area.

What is volume?

A three-dimensional solid shape's capacity is referred to as its volume. It is difficult to visualize in any shape, yet this can be evaluated among forms.

As per the data in the question,

Radius, r = 30 mm

Height, h = 60 × 4 = 240 mm

Use the equation of the surface area of the cylinder, SA = 2πr² + 2πrh

SA = 2π(30)² + 2π (30)(240)

SA = 50,868.

Now, calculate the area of a rectangular prism,

Area of top and bottom,

= (60 + 60) × (60 + 60) × 2

= 120 × 120 × 2 = 28,800

Area of 2 sides,

= 2 × (60 × 120) = 14,400

Area of front and back,

= 2 × (60 × 120) = 14,400

Total Surface Area = 28,800 + 14,400 + 14,400 = 57,600

Therefore, A has a smaller surface area.

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What is the standard form of a quadratic function passing through the points (2,4) , (3,5) and (4,3)

Answers

The standard form of a quadratic function is y = 3/2x² + 17/2x - 7

How to determine the quadratic equation?

From the question, the points on the quadratic equation are given as

(2,4), (3,5) and (4,3)

The standard form of a quadratic equation is represented as

y = ax² + bx + c

So, we have

Point (2,4):

4a + 2b + c = 4

Point (3,5):

9a + 3b + c = 5

Point (4,3):

16a + 4b + c = 3

Solving using an online calculator. we have

a = 3/2, b = 17/2 and c = -7

Substitute a = 3/2, b = 17/2 and c = -7 in y = ax² + bx + c

y = 3/2x² + 17/2x - 7

Hence, the equation is y = 3/2x² + 17/2x - 7

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I need to find the slope and the y-intercept please help

Answers

Answer: 30

Step-by-step explanation:

1. You find the slope by picking 2 points and dividing the change in the y-axis by the change in the x-axis. (Time is ALWAYS x)

(50-40)/40-20

(10)/20)

1/2

SLOPE=1/2

2. You find the y-intercept by picking a point, and plugging them into your equation, and solving for b.

(I will be using the point (20,40) )

40=1/2(20)+b

40=10+b

b=30

Y-INTERCEPT=30

Directions: State all the possible rational zeros for each function.
f(x) = 3x² + 2x - 1

Answers

The possible rational zeros are x = -1 and x = 1/3 for the given function f(x) = 3x² + 2x - 1.

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

The function is given in the question as:

f(x) = 3x² + 2x - 1

To determine possible rational zeros for the given function.

f(x) = 3x² + 2x - 1

For finding rational zeros, f(x) = 0

3x² + 2x - 1 = 0

3x² + 3x - x - 1 = 0

3x(x +1) - 1(x +1) = 0

(x +1)(3x - 1) = 0

(x +1) = 0 and (3x - 1) = 0

x = -1 and 3x = 1

x = -1 and x = 1/3

Thus, the possible rational zeros are x = -1 and x = 1/3 for the given function f(x) = 3x² + 2x - 1.

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A jungle has 594 monkeys.
It also has 62 birds.
How many more monkeys than birds are there?

Answers

Answer:

532

Step-by-step explanation:

594 [monkeys]  - 62 [birds] = 532

Select all the expressions that are equivalent to 8^3/2^3

Answers


The one on the far right the -1 and 4

Jose is wrapping a stack of 100 coins in a paper holder. Each coin is 18 inch thick and has a diameter of
1 inch. How many square inches of paper will Jose need to cover the stack of coins? Use 3.14 for π.

Answers

Jose will need 40.82 in² of paper to cover the stack of coins

How to determine the square inches of paper Jose will need to cover the stack of coins?

The area in this scenario will be:

A = 2πr² + 2πrh

Where r and h represent the radius of the coins and the height of the coin stack respectively

Given: diameter of coin = 1 inch and thickness = 1/8 inch

radius(r) = diameter/2 = 1/2 inch

Substituting values gives:

A = 2×3.14 × (1/2)² + 2×3.14 ×(1/2)×(100 ×(1/8))

A = 40.82 in²

Note: the correct thickness of the coins should be 1/8 in

Therefore, the area of paper Jose will need to cover the stack of coins is 40.82 in²

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On Friday, a local hamburger shop sold a combined total of 303 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?

Answers

Answer:

101

Step-by-step explanation:

Since the total number of cheeseburgers was twice the number of hamburgers, let the number of sold hamburgers be h

Twice of h = 2(h)

Hence,

2(h) + h = 303

2h + h = 303

3h = 303

Divide both sides by the coefficient of h

h = 101

Therefore, the total number of hamburgers sold was 101

4) Draw a Venn diagram to show these sets:
• The universal set U = {x | - 10 ≤ x ≤ 10, x El}
• N = {x|-10 ≤x≤-1, x El}
• P= {x|1 ≤ x ≤ 10, x El}

• E = {x | x = 2a, 1 ≤ a ≤ 5, a El}

I really need help, and I need it ASAP please!!!

Answers

The Venn diagram is attached below.

We have four sets. The sets are represented by the alphabets "U", "N", "P", and "E". The universal set is represented by U. The sets are defined as given below.

U = {x | - 10 ≤ x ≤ 10, x ∈ l}

N = {x | -10 ≤x≤-1, x ∈ l}

P = {x | 1 ≤ x ≤ 10, x ∈ l}

E = {x | x = 2a, 1 ≤ a ≤ 5, a ∈ l}

The elements in the universal set "U" are -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

The elements in the set "N" are -10, -9, -8, -7, -6, -5, -4, -3, -2, and -1.

The elements in the set "P" are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

The elements in the set "E" are 2, 4, 6, 8, and 10.

We need to draw the Venn diagram. A Venn diagram is a graphic representation of the contrasts and similarities between two concepts. Venn diagrams are sometimes known as logic diagrams or set diagrams.

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9. A contractor is pouring a rectangular concrete slab with dimensions of 16 feet by 30
feet. To ensure that the sides of the slab form 90° angles, how many feet should
each diagonal measure?

Answers

If each  sides of the slab form 90° angles, The number of feet that

each diagonal measure is 34 feet.

How to find the diagonal feet?

Using Pythagoreans theorem formula to find the diagonal feet

D² =L² + W²

Where:

D = Diagonal

L= Length = 16 feet

W = Width = 30


Let plug in the formula

D² = 16² + 30²

D² = 256 + 900

D=√1156

D= 34 feet

Therefore the diagonal measure 34feet

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Gus is buying juice drinks, x, and snack packs, y, for a school picnic. The system of inequalities models how many of each item Gus needs to buy and how much he can spend. Which of the following points represents a viable solution to the system?
I will give Brainliest to whoever answers



x + y ≥ 150

1.5x + 3.5y ≤ 600

A. (−10, 170)

B. (80, 90)

C. (250, −50)

D. All real whole numbers, with x ≥ 0 and y ≥ 0

Answers

The points that represents a viable solution to the system of inequalities include the following:

A. (−10, 170)

B. (80, 90)

C. (250, −50)

How to determine the points for a viable solution to the system?

In order to determine which points are true and viable with respect to a solution of the given system of inequalities, we would have to test the each of the points by substituting their values into the inequalities as follows;

For points (-10, 170), we have:

x + y ≥ 150

-10 + 170 ≥ 150

160 ≥ 150 (Viable).

1.5x + 3.5y ≤ 600

1.5(-10) + 3.5(170) ≤ 600

-15 + 595 ≤ 600

580 ≤ 600 (Viable).

For points (80, 90), we have:

x + y ≥ 150

80 + 90 ≥ 150

170 ≥ 150 (Viable).

1.5x + 3.5y ≤ 600

1.5(80) + 3.5(90) ≤ 600

120 + 315 ≤ 600

435 ≤ 600 (Viable).

For points (250, -50), we have:

x + y ≥ 150

250 - 50 ≥ 150

200 ≥ 150 (Viable).

1.5x + 3.5y ≤ 600

1.5(250) + 3.5(-50) ≤ 600

375 - 175 ≤ 600

200 ≤ 600 (Viable).

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Which size bag of raisins has the lowest cost per gram?
A
100 g at $1.00
B
250 g at $2.00
C
500 g at $3.00
D
750 g at $6.00

Answers

Answer:  A

Step-by-step explanation:

A for 1 gram it is $1.00

B for 1 gram it is $1.25

C for 1 gram it is $1.66

D for 1 gram it is $1.25

PLEASE HELP ASAP WILL GIVE ANYTHING

Spin a spinner with three equal sections colored red, white, and blue. What is P(green)?

0%
100%
33%
66%

Answers

Answer:

Step-by-step explanation:

Ok:

Since percent can only add up to 100%, the sum must be no longer over 100%

There is no green on the spinner only red, white, and blue!

This means that 0 out of 100 percent is available for green!

Answer: 0%

The solution is Option C.

The probability of getting a green colored section on the spinner is given by the equation P ( green ) = 33 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of getting a green colored section on the spinner be represented as P ( green )

Now , the equation will be

The number of sections on the spinner = 3 sections

The 3 sections are = { red , white , green }

So , probability of getting a green colored section P ( green ) = 1 /  number of sections on the spinner

Probability of getting a green colored section P ( green ) = 1/3

Probability of getting a green colored section P ( green ) = 0.33

Probability of getting a green colored section P ( green ) = 33 %

Therefore , the value of P ( green ) is 33 %

Hence , the probability is 33 %

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14. A baker needs to make 3 batches of
3 cups of
cupcakes. If each recipe uses
sugar, how much sugar will the baker need?
(Example 5)

Answers

The baker needs  [tex]\frac{25}{12}[/tex]  cups of sugar.

Number of batches of cupcakes a baker needs to make = [tex]3 \frac{1}{8}[/tex]

Number of cups of sugar each recipe uses =   [tex]\\\frac{2}{3}[/tex]

Quantity of sugar required to make  [tex]3 \frac{1}{8}[/tex]  batches of cupcakes = [tex]3 \frac{1}{8}[/tex]  × [tex]\\\frac{2}{3}[/tex]

                                                                                            = [tex]\frac{25}{8}[/tex] × [tex]\frac{2}{3}[/tex]

                                                                                            =  [tex]\frac{25}{12}[/tex]

Therefore, the quantity of sugar required to make  [tex]3\frac{1}{8}[/tex]  batches of cupcakes is   [tex]\frac{25}{12}[/tex]  cups.

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-4n+7+2n=1
ANSWER WITH EXPLAINATION

Answers

Answer:

n = 3

Step-by-step explanation:

-4n + 7 + 2n = 1

Collect like terms

-2n + 7 = 1

Subtract 7 from both sides

-2n = 1 - 7

Do the math on the right side

-2n = -6

Divide both sides by -2

n = 3

PLEASE HELPP!!! MORE POINTS AND BRAINIEST MARK!

Mr. Gonzales would like to create a playground in his
backyard. He has 20 ft of fencing to enclose the play
area. Use this information for Items 10-13. S
10, Write a quadratic function in standard form that
models f(x), the total area of the playground in
square feet in terms of its width x in feet. Then
graph f(x).

11. Write the x- and y-intercepts of f(x) and interpret
them in terms of the problem.

12. Give the reasonable domain and range of f(x) as
inequalities, in interval notation, and in set
notation. Explain how you determined the
reasonable domain and range..

13. What is the maximum area for the playground?
What are the dimensions of the playground with
the maximum area?

Please, I need this tmr!

Answers

The quadratic equation is −x²+10x. Domain for the given equation is (0,10) and the Range is (0,25]. The x-intercept is (0,10) and the area is 10.

What is equation?

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

Here,

quadratic function in standard form that models f(x), the total area of the playground in square feet in terms of its width x in feet,

f(x)=−x²+10x

The graph is given below,

Domain=(0,10)

range=(0,25]

To determine the domain that must exist between them, we used the xx-intercepts. We excluded them from the domain because the area at the x-intercepts is 0.

Since an area must be greater than 0, y>0y>0 follows. Remembering that the vertex of the graph of f(x) has the maximum point of (5,25) the maximum value for y is 25.

−x²+10x is the quadratic equation. The domain and range of the given equation are (0,10) and (0,25), respectively. (0, 10) is the x-intercept, and 10 is the area.

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How to graph p(x)=-3x-1

Answers

The graph of the equation p(x) = -3x- 1 has been plotted

The equation is given that

p(x) = -3x - 1

We know the slope intercept form of the line

y = mx + b

Where m is the slope of the line

b is the y intercept

Compare both equation

The slope of the line m = -3

The y intercept b = -1

At x = 1

The value of p(1) = -3(1) -1

= -3 - 1

= -4

At x = 2

The value of P(2) = -3(2) -1

= -6 - 1

= -7

Substitute the value for x and find the value of y.

Draw the graph using the points

Hence, the graph of the equation p(x) = -3x- 1 has been plotted

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what number "x" makes the equation 8^x=2 correct?

Answers

Answer:

x = (1/3)

Step-by-step explanation:

8ˣ = 2

8 = 2³

2³ˣ = 2¹

3x = 1

÷3   ÷3

------------

       1

x = ------

       3

I hope this helps!

Anna is working two summer jobs, making $9 per hour washing cars and $12 per
hour landscaping. Last week Anna worked a total of 7 hours and earned a total of
$78. Determine the number of hours Anna worked washing cars last week and the
number of hours she worked landscaping last week.

Answers

By solving a system of equations we will see that Anna works 2 hours washing cars and 5 hours landscaping.

How to determine the number of hours in each job?

First, we need to define the variables that we will be using, these are:

x = number of hours washing cars.y = number of hours landscaping.

We know that she works 7 hours in total and earns $78 in total, so we can write the system of equations:

x + y = 7

x*$9 + y*$12 = $78

Isolating x on the first equation we get:

x = 7 - y

Replacing this on the other equation we get:

(7 - y)*$9 + y*$12 = $78

$63 - $9*y + $12*y = $78

$63 + $3*y = $78

$3*y = $78 - $63

$3*y = $15

y = $15/$3 = 5

Then the value of x is:

x = 7 - y = 7 - 5 = 2

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please help asap my mom and dad will kill me if i don't have this practice exam done. Liz wanted to buy a new book. When she checked the price last week, it was $16. This week, the same book was listed for $20. Write and solve an equation to show how much the book increased in price.

20 = p − 16; p = $36
20 = p + 16; p = $4
16 + p = 36; p = $20
2p = 20; p = $10

Answers

Answer:

Step-by-step explanation:

1. Since the price goes up by whatever number it eventually become 20$ from 16$. SO subtract to get number. 20-16= 4 $

So fitting best...: 20$=p+16;p=4$= TRUE

Answer:20$=p+16;p=4$ or Choice C

PS.Hope you find it helpful!!

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