Suav left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 4 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 4 minutes. Then he drove home at a speed of 6 blocks every minute. Make a graph of showing the number of blocks away from home that Suav is xx minutes after he leaves his house, until he gets back home.

Answer:

5x²+12x+4

Step-by-step explanation:

5x²+10x+2x+4

5x²+12x+4

Answer:

[tex]5x^{2}+12x+4[/tex]

Step-by-step explanation:

Use the FOIL method to expand.

5x*x+

2*x+

5x*2+

2*2

which is

5x^2+2x+10x+2

combining the two x s we get

5x^2+12x+4

The dimensions of the rectangular plot of the land is 17 × 12 square units.

The perimeter of a shape is the distance around the shape. It is the total length of the shape's sides.

Perimeter of rectangle = 2( length + width)

The area can be defined as the space occupied by a flat shape or the surface of an object.

Area of rectangle = length × width

According to the given question.

Let the length and width of the rectangular plot be x and y respectively.

Kadeem has 58m of fencing.

⇒ Perimeter of the rectangular plot of land = 58m

⇒ 2(length + width) = 58

⇒ x + y = 29...(i)

Also, area of plot land = 204 square units.

⇒ x × y = 204

⇒ x × (29 - x) = 204

⇒ [tex]29x -x^{2} = 204[/tex]

⇒ [tex]x^{2} -29x + 204=0[/tex]

⇒ [tex]x^{2} -12x -17x +204=0[/tex]

⇒ [tex]x(x-12)-17(x -12)=0[/tex]

⇒ [tex](x -12)(x -17) = 0[/tex]

⇒ x = 12 or x = 17

When, [tex]x = 12[/tex]

[tex]y = 29-12 = 17m[/tex]

And when, [tex]x = 17[/tex]

[tex]y = 29 - 17 = 12m[/tex]

Hence, the dimensions of the rectangular plot of the land is 17 × 12 square units.

Find out more information about perimeter and area of rectangle here:

https://brainly.com/question/16572231

#SPJ2

Answer:

y = 3x - 4

Step-by-step explanation:

The general structure of a line in slope-intercept form is:

y = mx + b

In this form, "m" is the slope and "b" is the y-intercept.

(Step 1)

Before you can determine this equation, you need to find the value of "m". Since you were given the value of two points, you can find this by using the point-slope form. The general structure of the point-slope equation is:

y₁ - y₂ = m(x₁ - x₂)

y₁ - y₂ = m(x₁ - x₂)                              <---- Point-slope equation

-1 - 8 = m(1 - 4)                                  <---- Insert "x" and "y" values from table

-9 = m(1-4)                                         <---- Simplify left side

-9 = -3m                                            <---- Simplify inside parentheses

3 = m                                                 <---- Divide both sides by -3

(Step 2)

Now that you know "m", you can plug it and the "x" and "y" values of one point into the slope-intercept equation to find the value of "b".

y = mx + b                                         <---- Slope-intercept equation

y = 3x + b                                          <---- Plug 3 into "m"

-1 = 3(1) + b                                        <---- Plug "x" and "y" values in

-1 = 3 + b                                           <---- Multiply 3 and 1

-4 = b                                                 <---- Subtract 3 from both sides

(Step 3)

Now that you know that m = 3 and b = -4, you can substitute these values into the slope-intercept form to find your final answer. You can check your answer by plugging the "x" values from the table into the equation to verify that you get the correct "y" values.

y = 3x - 4

Answer: 1. Dilation.

Step-by-step explanation: All of these transformations do not change the shape's form except for a dilation. It is nessacary to change the shape, so it is a dilation.

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

Explanation:

The range is {2, -1, 5, -8, 9} which sorts to {-8, -1, 2, 5, 9}. This is the set of y coordinates of the points given. Each point is of the form (x,y).

Since the domain and range are the same set in this case, we must have those value mentioned as x coordinates of the points.

The domain is the set of x coordinates of the points given.

The values -8, -1, 2, and 9 are already used as x coordinates. The only thing missing is the 5.

From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.

Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:

f(x) = 100 * [tex]e^{-x}[/tex]

Assuming x = -2, we'd have:

100 * 2.7182[tex]^{-2}[/tex]

= 271.82[tex]^{-2}[/tex]

= 0.00001353354

Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.

Learn more about functions at:

https://brainly.com/question/25638609

#SPJ1

By applying concepts from vectorial calculus, we conclude that the gradient of the one variable function y = 2 · x³ - 7 · x + 4 when x = -2 is equal to 17.

A gradient is a generalization of the tangent curve used for multivariate function, that is, a function with more than one variable. In this case we have a function with one variable, which means that the gradient is equal to the slope:

[tex]\nabla f = \frac{df}{dx}[/tex]     (1)

Now we proceed to calculate the gradient of the curve:

[tex]\nabla f = 6\cdot x^{2}-7[/tex]

[tex]\nabla f = 6\cdot (-2)^{2}-7[/tex]

[tex]\nabla f = 17[/tex]

By applying concepts from vectorial calculus, we conclude that the gradient of the one variable function y = 2 · x³ - 7 · x + 4 when x = -2 is equal to 17.

To learn more on gradients: https://brainly.com/question/13020257

#SPJ1

The calculation of the mean shows that Jamie should not lose her job as she was faster after the talk from the boss.

The mean of the travel time in the first scenario will be:

= (18, 20, 22, 27, 16, 23, 25,26, 19, 28)/10

= 224/10

= 22.4

She she shows consistency, the mean will be:

= (22, 20, 22, 24, 24, 23, 25, 21, 19, 21)/10

= 221/10

= 22.1

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

Answer:

Hi,

Step-by-step explanation:

I don't know the name in Enghish but in French it is "une règle de 3"

(may be linear rule)

arc length= 2*π*r/360*100=50*π/9

area= π*r²*100/360=250*π/9

Answer:

3 * (x + 3) = x * 5 - 3

There will be 36 squares in the 8th step of the pattern

The pattern and the squares are represented as:

Pattern   Squares

1                 1

2                3

3               6

4             10

This can be rewritten as:

Pattern   Squares

1                 1

2                1 + 2

3                1 + 2 +3

4                1 + 2 + 3 +4

So, the number of squares on the 8th pattern is:

8th pattern = 1 + 2 + 3 +4 + 5 + 6 + 7 + 8

Evaluate

8th pattern = 36

Hence, there will be 36 squares in the 8th step

Read more about patterns at:

https://brainly.com/question/7882626

#SPJ1

Answer:

[tex]8^{14}[/tex]

Step-by-step explanation:

When we multiply exponents with the same base, the product it the base to the power of the exponents added together. In this case, the base will remain as 8 and the exponent will be 10 + 4 = 14. Therefore, the answer is [tex]8^{14}[/tex].

Answer:

[tex]\large\boxed{\sf \sf 8^{14}}[/tex]

Explanation:

[tex]\rightarrow \sf 8^{10} \ \ x \ \ 8^4[/tex]

apply exponent rule: [tex]\sf \bf a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]\rightarrow \sf 8^{10+4}[/tex]

[tex]\rightarrow \sf 8^{14}[/tex]

Answer: 3

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so AD=BC.

[tex]3x+5=8x-10\\5=5x-1015=5x\\x=\boxed{3}[/tex]

Answer:

51

Step-by-step explanation:

when n=1

when n=2

t2=4

as first term is 1 and second term is 4 so the common difference is 3 ,for 6 term if you put this in formula for sum to the n term you will get 51

t1 =1

d=3

n=6

than S6=51

The equation that has infinitely many solutions is A. 4x + 5(2x + 6) = 14x + 30

An equation with infinitely many solutions is represented as:

ax + b = ax + b

This means that both sides of the equation must be the same.

Next, we test the options:

4x + 5(2x + 6) = 14x + 30

Open the bracket

4x + 10x + 30 = 14x + 30

Evaluate the like terms

14x + 30 = 14x + 30

Both sides of the equation must be the same.

Hence, the equation that has infinitely many solutions is A. 4x + 5(2x + 6) = 14x + 30

Read more about equation solutions at:

https://brainly.com/question/13729904

#SPJ1

Answer:

See below

Step-by-step explanation:

Fill the 5   and pour into the 3    ....this will leave 2 gal in the 5 bucket

  empty the 3 bucket and put that 2 gallon in to it.....

      then fill the 5 bucket again......pour 1 gallon into the 3 gallon bucket to fill it....then there will be 4 gallons left in the 5 bucket

Answer:

i4=1

Step-by-step explanation:

Explanation: Rewrite i14 as (i4)3×i2 . If i=√−1, then i2=−1 . From here (i2)2=(−1)2 , so i4=1

Answer:

35 ways

Step-by-step explanation:

Seven juniors to choose three from

  7 C 3 = 7! / ( 4! 3!) = 35

Answer:

1. P(2 or 4) - 2/3

2. P(multiple of 2) - 1

3. P(multiple of 3) - 1/3

4. P(odd prime numbers) - 0

Step-by-step explanation:

Hope this helps

P(2 or 4) = 2/3

p(multiple of 2) =  1

p(multiple of 3) = 1/3

P(odd prime numbers) = 0

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

P(2 or 4) = (number of sides that have a value of 2 / total number of sides) + (number of sides that have a value of 2 / total number of sides) = 2/6 + 2/6 = 2/3

p(multiple of 2) = number of sides that are a multiple of 2 / total number of sides

6/6 = 1

p(multiple of 3) = number of sides that are a multiple of 3/ total number of sides

= 2/6 = 1/3

P(odd prime numbers) = number of odd prime numbers / total number of sides  = 0

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

If an angle is a central angle, meaning that it goes through the center, then its corresponding arc has the same measure.

AOT is a central angle, which means that AT will have the same measure.

AOT = 97, AT = 97

Answer: A, 97

Hope this helps!

Answer:

  dilation by a factor of 1/3 about the origin

Step-by-step explanation:

Each side of triangle B is 1/3 the length of the corresponding side of triangle A. This tells you dilation using a scale factor of 1/3 is involved.

Lines joining corresponding points of triangles A and B converge on the origin. This tells you the center of dilation is the origin.

The one transformation that maps A to B is ...

  dilation by a factor of 1/3 about the origin

_____

Additional comment

No rotation, reflection, or translation are needed, since the triangles have the same orientation, and dilation fully accounts for their relative position.

Answer:

CE = 3.2 cm

DH = 4.5 cm

Explanation:

Given:

MNPR ≅ CEDH

≅ - means approximately equal

Lengths of the shape:

MN = CE = 3.2 cm

NP = ED = 6.5 cm

PR = DH = 4.5 cm

RM = HC = 9 cm

Answer:

are you from Philippines?

Step-by-step explanation:

because I want to know gehe

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The value of x is 10. Thus, the correct option is B.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Since the two prisms are similar, their sides will be in a common ratio. The value of the common ratio will be,

Common ratio = 4/2 = 5/2.5 = 3/1.5 = 2

Since the common ratio of every side is equal to 2, the value of x can be written as,

Common Ratio = 20/x = 2

20/x = 2

x = 10

Hence, the value of x is 10. Thus, the correct option is B.

Learn more about Similar Figures:

https://brainly.com/question/11315705

#SPJ1

Answer:

Option 1 ========>  p = ∛8

Step-by-step explanation:

In order to make p the subject we would need to cube root both sides and would therefore get :

∛(p³) = ∛8

p = ∛8

Just a side not but you wrote the first option wrong but it's fine as you attached an image.

Hope this helped and have a good day

The calculation p=∛8  can be used to find the value of p in the equation p³= 8

An expression is combination of variables, numbers and operators.

The given equation is  p³= 8

p to the power of three equal to eight

p is the variable in the given equation

We have to find the value of p from the equation

Take cube root on both the side

∛ p³= ∛8

On left hand side the cube will be cancelled and left with p

p=∛8

Hence, p=∛8 calculation can be used to find the value of p in the equation p³= 8

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ5

Answer:

Domain of the function

Step-by-step explanatio

Answer:

Let b the cost of the manicure

15% of b= 5.10$

15% × b= 5.10$

b= 5.10×100/15

b= 34$

Based on the scenario above, the inequalities that can be graphed on the coordinate plane is y < 3x + 5.

In graphing inequalities, one can graph inequality on the coordinate plane.

Note that the solutions for a linear inequality can be seen in the area of the coordinate plane. The boundary line used are  > ,<, ≥ and ≤.

Note also that the  inequalities graphed on the coordinate plane known to be y < 3x + 5 is shown in the image attached. When you look at option A, B and D, you will see that they are incomplete and missing some values but option C gave the correct example of an inequalities.

Learn more about inequalities  from

https://brainly.com/question/24372553

#SPJ1

Answer:

30

Step-by-step explanation: