PLEASE HELP! It would be greatly appreciated
Mrs.Galicia bakes and then sells cookies and brownies from her bakery. Her revenue for each baked good (in dollars) is modeled by the equations, where x is the number of days since the bake goods started to sell.

Brownies: () = 2^2 + 8 − 4
Cookies: () = 2 + 4

(a) Solve the system algebraically. After how many days is the revenue for each item the same? Show
your work and explain your answer.
(b) Graph this system to show both solutions. Label each axis appropriately.

Answers

Answer 1

a) The revenues for both items will be the same after 1 day.

b) The graph with the solution is given by the image at the end of the answer.

How to obtain the number of days for which the revenues will be the same?

The functions defining the revenues for the selling of x brownies and of x cookies are presented as follows:

Brownies: B(x) = 2x² + 8x - 4.Cookies: C(x) = 2x + 4.

The revenues will be the same after x days, for which:

B(x) = C(x).

Hence:

2x² + 8x - 4 = 2x + 4

2x² + 6x - 8 = 0.

x² + 3x - 4 = 0.

The quadratic function can be factored as follows:

(x + 4)(x - 1) = 0.

Applying the Factor Theorem, the solutions are given as follows:

x + 4 = 0 -> x = -4, which is an extraneous solution, as the number of days cannot be negative.x - 1 = 0 -> x = 1, which is the number of days when the revenues are the same.

The graph shows the intersection of the two curves, B(x) and C(x).

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PLEASE HELP! It Would Be Greatly Appreciated Mrs.Galicia Bakes And Then Sells Cookies And Brownies From

Related Questions

Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
*
1 point
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.

Answers

The true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 * 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Which function has x-intercepts at 4 and -6?

Answers

Function for which x -intercepts is at 4 and -6 is given by

y = k (x - 4)( x + 6).

As given in the question,

Let us consider f(x) be the required function.

y = f(x)

Standard form of a function whose x- intercepts is defined as x = a and

x = b is given by ;

f(x) = k (x - a ) ( x -b)

⇒ y =  k (x - a ) ( x -b)

Where 'k' is constant which can be evaluate when quadratic function  passes through point ( x₁ , y₁).

Here x - intercept is  at 4 and -6

a = 4 and b = -6

Function for which x -intercepts is at 4 and -6 is given by :

y = k (x - 4) ( x -(-6))

⇒ y = k ( x - 4 ) ( x+ 6 )

Therefore, function for which x -intercepts is at 4 and -6 is given by

y = k (x - 4)( x + 6).

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Three-eights of the seven grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of the year. If there were 140140 students taking advanced math at the end of the year, how many total 7th grade students are there?

Answers

Answer:

147 * 3/8

1176/3 = 392

please help i have a test tomorrow and i dont know how to do this

Answers

Answer:

90 - 2x

Step-by-step explanation:

Angle A and B are both equal as both connect to the middle of the circle

ABO = [tex]x[/tex]

BAO = [tex]x[/tex]

Look at the diagram I attached

Angle ABC is = [tex]x+90[/tex]

Angle BAC = [tex]x[/tex]

Total Angle in a Triangle = 180

[tex]x + 90 + x + ACB = 180[/tex]

[tex]180 - 90 - 2x = ACB[/tex]

[tex]ACB = 90 - 2x[/tex]

what is the volume of the following rectangular prism? 1 1/3 units 4 1/2 units2

Answers

6 units^3

To find the volume you need to multiply the area of the base times the height.

Decribe and correct the error in fining the um 2 5/6(-8/15)=12/6(-8/15)=65(-16)/30=49/30=1 19/30

Answers

Error free in finding the sum of 2 is 9/30

we need to correct the error and find the sum of 2

= [tex]\frac{5}{6}[/tex]  + ([tex]\frac{-8}{15}[/tex])  

let's find the l.c.m  of both

LCM stands for 'Least Common Multiple'. The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers. It can be calculated for two or more numbers as well. There are different methods to find the LCM of a given set of numbers. One of the quickest ways to find the LCM of two numbers is to use the prime factorization of each number and then the product of the highest powers of the common prime factors will be the LCM of those numbers.

= 25 -16 / 30

= 9/30

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If a fair die is rolled 6 times what is the probability rounded to the nearest thousandth of getting at least 5 fours?

Answers

To get 1 four, probability is 1/6

To get 2 fours, probability is (1/6)^2

So

To get 5 fours, probability is (1/6)^5 = 0.0001286

Determine which set of side measurements could be used to form a right triangle. square root of 19 comma square root of 35 comma 54 square root of 15 comma 6 comma square root of 51 5, 8, 30 5, 6, 7

Answers

As per the concept of right angled triangle, the set of side measurements that could be used to form a right triangle is √15, 6, and √51

Right-angle triangle:

Right angle triangle means a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

Given,

√19, √35, 54

√15, 6, √51

5, 8, 30

5, 6, 7

Now, we have to determine which set of side measurements could be used to form a right triangle.

Here we  know that, according to the Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

So, by using Pythagoras' theorem:

Option (2) √15, 6, √51

Makes the right angle triangle,

Because when we verify these by using the Pythagoras theorem,

(√15)² + (6)² = (√51)²

15 + 36 = 51

51 = 51

Therefore, the set of side measurements that could be used to form a right triangle is √15, 6, and √51  option (2) is correct.

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For each value of X, determine wether it is a solution to

Answers

The solutions of -1 + 3x ≥ 14 are 5 and 8.        

Linear Inequality:

A linear inequality is a Mathematical expression that represents that both sides are not equal. In simple words, we can say that If the relationship makes a non-equal comparison between any two numbers or expressions, then it is known as Linear inequality.

Here we have      

-1 + 3x ≥ 14        

To determine the solutions of a given linear inequality substitute each value of x and check if the value satisfies the given expression

At x = 5 ⇒ -1 + 3(5) ≥ 14  

⇒ -1 + 15 ≥ 14  

⇒ 14 ≥ 14      

∴ x = 5 is a solution to -1 + 3x ≥ 14        

At x = 8 ⇒ -1 + 3(8) ≥ 14  

⇒ -1 + 24 ≥ 14  

⇒ 23 ≥ 14      

∴ x = 8 is a solution to -1 + 3x ≥ 14        

At x = -4 ⇒ -1 + 3(-4) ≥ 14  

⇒ -1 - 12 ≥ 14  

⇒ - 13 ≥ 14   [ which is not true ]  

∴ x = - 4 is not a solution to -1 + 3x ≥ 14        

At x = 2 ⇒ -1 + 3(2) ≥ 14  

⇒ -1 + 6 ≥ 14  

⇒ 5 ≥ 14   [ which is not true ]

∴ x = 2 is a solution to -1 + 3x ≥ 14        

Therefore,

The solutions of -1 + 3x ≥ 14 are 5 and 8    

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Square LMNO has vertices L(-2, 2) M(2, 2) N(2, -2) O(-2, -2). Find the coordinate of the image after a 180 degree rotation around (0,0) for point L.

Answers

Check the picture below, assuming counter-clockwise rotation.

HELP PLEASE SOLVE ITS SLOPE!

Answers

Step-by-step explanation:

1. gradient=y2-y1/x2-x1

=21-9/-7-(-12)

=21-9/-7+12

=12/5

2.consider any two coordinates:

(13,32),(7,33)

gradient:

=33-32/7-13

=1/-5

if the same number is added to both numerator and denominator of the fraction 3/5. the result is 2/3 what is the number?

Answers

Answer:

2

Step-by-step explanation:

a couple has 3 children. they sit in 5 adjacent seats in the same row while watching a movie. if the mother must sit in between the two youngest children, how many seating arrangements are possible?

Answers

Answer: well about 3

Step-by-step explanation:

father(youngest)mom(middle child)oldest

oldest(youngest)mom(middle child)father

father(middle child)mom(youngest)oldest

hope this helps:)

-(x - 2) - 2(x - 1) = 8

Answers

-(x)-(-2)-2(x)-2(-1)=8

-x+2-2x+2=8

-x-2x+2+2=8

-3x+4=8

-3x=8-4

-3x=4

[tex]\frac{-3x}{-3} =\frac{4}{-3} \\x=-\frac{4}{3}[/tex]

An infant drinks about 26 ounces of milk per day. About how many quarts of milk does the baby drink in 4 weeks?

Answers

Answer:

Expert-Verified Answer

2 people found it helpful

author link

Cetacea

Answer: 19.25 quarts of milk the baby drink in 4 weeks.

We know 1 week = 7 days

So, 4 weeks = 4*7 = 28 days.

In 1 day baby drinks = 22 ounce

In 28 days baby drinks = 28*22 = 616 ounce.

1 quarts = 32 ounces.

So, 616 ounce = 616/32 = 19.25 quarts.

Answer:22.75

Step-by-step explanation: 26 x 7 x 4 = 728 ounces in 4 weeks

theres 32 ounces in a quart

so 728 over 32 will equal 22.75

bro someone help me i dont understand anything

Answers

Answer:

pretty sure its the 2nd, 3rd, and 5th one


(Sorry if im wrong)

Step-by-step explanation:

The original price of the flowers was $80, but with discount she paid $60. What percent of the flowers she did NOT pay?

Answers

The percentage of flowers she did not pay for is 25% (option A)

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

For instance, 25% means 25/100. This means that 25% of a 50mangoes is 25/100× 50 =12.5mangoes

Similarly, the discount when she paid $60 instead of $80 is $80-$60= $20

therefore %discount = 20/80 ×100= 2000/80= 25%

therefore the percentage she did not pay for is 25%

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Write an equation in slope-intercept form for the line that passes through (9, 12) and is perpendicular to y=4

Answers

Answer:

[tex]x=9[/tex]

 

Step-by-step explanation:

First, let's determine the slope! We know that the line is perpendicular to [tex]y=4[/tex]. This line is just a horizontal line that crosses the y-axis with a slope of 0. The line perpendicular to this will have the form [tex]x=?[/tex]. This is a straight, vertical line with indeterminate slope.

The line passes through the point (9, 12). If the line is going straight up and down, it will intercept every y-value, but only one x-value. The x-value in this ordered pair is 9. Therefore, the equation of the line is [tex]x=9[/tex].

PLEASE HELP ASAP FOR 30 POINTS! !!!! Two Pony Express riders each rode part of a 336-mile trip. Each rider rode the same number of miles. They changed horses every 12 miles. How many horses did each rider use?

Answers

Answer:

28 horses

Step-by-step explanation:

336/12=28

because every 12 miles they change the horse.

Your answer should be 28 horses

what happens to the width of two-sided confidence interval as each of these attributes changes? - the confidence level increases - the sample size increases a. increases b. decreases

Answers

The width of two-sided confidence interval decreases as the sample size increases and increases as the confidence level increases.

Confidence interval : In Statistic, confidence interval is a range of estimates for unknown parameters.

The formula for the interval can be expressed as:

Confidence Interval (CI ) = X bar +_ Z( S/√n)

Where,

X bar ---> the sample mean

S ---> the sample standard deviation

n --> the sample size Z---> Z-value which comes from normal distribution

From the formula we can conclude the below points about confidence interval :

The increases in confidence level leds to increase the width of the confidence interval also. A larger confidence level means the interval is larger. the width of confidence interval varies inversely to sample size i.e increase in sample size implies decrese in width of confidence interval. .Confidence interval increases with increase of sample standard deviations

So, Confidence interval varies with sample mean, confidence level and standard deviations.

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Does this figure have symmetry?

Answers

Answer:

Yes, because if you fold it in half, both halves match up.

Step-by-step explanation:

You can fold the figure in half along the x-axis to get a "D" shape

Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation p = -0.5x^2 + 36x -113 models the profit of the fundraiser.​ What's the smallest​ amount, in​ dollars, that you can charge and make a profit of at least ​$​409?

Answers

The smallest amount that can be charged per box of seeds to make a profit of $409 is $20.125

What is a profit?

A profit is the financial gain from a business transaction when the revenue from the transaction exceeds the expenses and taxes.

The function for the profit from the fund raiser is; p = -0.5·x² + 36·x - 113

When the profit is $409, we have;

p = 409 = -0.5·x² + 36·x - 113

-0.5·x² + 36·x - 113 = 409

-0.5·x² + 36·x - 522 = 0

The solutions of the above quadratic function, found using the quadratic formula are as follows;

x = (-36 ± √(36² - 4×(-0.5)×(-522)))/(2×(-0.5))

From which we have;

x = (-36 + √(36² - 4×(-0.5)×(-522)))/(2×(-0.5)) ≈ 20.125

x = (-36 - √(36² - 4×(-0.5)×(-522)))/(2×(-0.5)) ≈ 51.875

Therefore, when the profit is $409, the amount charged are x ≈ 51.875 or x ≈ 20.125

The smallest amount charged when the profit is $409 is therefore;

x ≈ $20.125

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1. Evaluate-[34+ (-16)-12].
a. 16
b. -16
C.-6

Answers

16

Step-by-step explanation:

[34-16-12]

[18-12]

16

Multiply. Simplify the answer and write as a whole number.
7 1/2-1 1/5

Answers

The answer is in the form of whole number is 6 .

Given,

In the question:

The number is given as:

= [tex]7\frac{1}{2} - 1\frac{1}{2}[/tex]

Now, According to the question:

= [tex]7\frac{1}{2} - 1\frac{1}{2}[/tex]

Convert to fraction into mixed fraction:

= 15/2 - 3/2

Calculate the sum or difference:

= 12/2

Cross out the common factor:

= 6

Hence, The answer is in the form of whole number is 6 .

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indicate the answer choice that best completes the statement or answers the question. 1. how many different samples of size 3 (without replacement) can be taken from a finite population of size 10? a. 30 b. 1,000 c. 720 d. 120

Answers

The correct option is option (d).

Using Combination,

Total 120, different samples of size 3 (without replacement) can be taken from a finite population of size 10.

Population size: The population is the entire group of guesses. A sample is a specific group for which you collect data. It is denoted by N.

Sample Size: The sample size is always smaller than the total size of the population. A sample is a subset of the population set. It is denoted by n.

we have given that , n = 3 and N = 10

Using the following formula for calculating the possible number of different samples of size 3 (without replacement) can be taken from a finite population of size 10.

Number of possible different samples of size n from Population size N = NCn = N!/n! (N-n)!

then we have, 10C3 = 10!/3! × 7!

=> 10×9×8/3×2 = 15×8 = 120

Hence, 120 different samples of size 3 (without replacement) is possible from Population of size 10.

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Kareem Abdul-Jabbar is the all-time leader in points scored in professional
basketball. He averaged 1,919.35 points scored each season. About how many points
did Kareem score during his twenty-year career?

Answers

Kareem Abdul-Jabbar scored a total of 38387 point in his career

Multiplication

In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.

To find the number of points he had in his total career, we just need to multiply his points per season with the total number of years he spent play game.

This becomes 1919.35 * 20 = 38387 points

He had a total of 38387 points all time in his career

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with explanation if possible .
part a and b.

Answers

The coordinates on the x-axis (the x-intercepts) and y-axis (the y-intercepts) are;

(a) (i) The point, A = (6, 0)

(ii) The point B = (0, 6)

(b) The point A = (4, 0)

The point B = (0, 3)

What are the x and y-intercepts of a graph?

The x and y-intercepts are the points at which the graph intersects the x-axis and the y-axis respectively. The coordinates of the points are (x, 0) and (0, y) respectively.

(a) (i) The equation of the line of the graph is; x + y = 6

The x-intercept of the line is at point A

The y-intercept of the line is at point B

At the x-intercept, the y-coordinate is 0, from the equation, x + y = 6, when y = 0, we get;

x + y = 6

x + 0 = 6

x = 6

The coordinate of the x-intercept, A = (6, 0)

(ii) The y-coordinate of the y-intercept is the value c of the equation of the line y = m·x + c

The x-coordinate at the y-intercept is 0

Rearranging the equation, x + y = 6, we get;

y = -x + 6

The y-coordinate at the y-intercept is therefore, c = 6

The point B is therefore; (0, 6)

(b) (i) The equation of the line is 4·y + 3·x = 12

The equation can be rearranged so that we get;

4·y + 3·x = 12

4·y = 12 - 3·x

y = (12 - 3·x) ÷ 4 = 3 - (3/4)·x

y = 3 - (3/4)·x

At the x-intercept, the value of y is 0. Plugging in y = 0 in the equation, y = 3 - (3/4)·x, we get;

0 = 3 - (3/4)·x

3 = (3/4)·x

x = 3 ÷ (3/4) = 4

x = 4,

y = 0 and x = 4, therefore the coordinate of the point A is (4, 0)

(ii) The y-intercept is point B

The x-value at the y-intercept is 0

Plugging the value x = 0 in the equation y = 3 - (3/4)·x, we get;

y = 3 - (3/4)× 0 = 3

x = 0 and y = 3

The coordinate of the point B is (0, 3)

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The shape below is made of two rectangles joined together. 5 cm 9 cm 8 cm 5 cm Find the total area of the shape. Optional working Answer: cm²​

Answers

Answer:

length × width

5×9=45cm²

45cm²×2=90cm²

Tthe total area of the shape is 85 cm².

How to solve for the area

Rectangle 1:

Length = 9 cm

Width = 5 cm

Area of Rectangle 1 = Length * Width

= 9 cm * 5 cm

= 45 cm²

Rectangle 2:

Length = 8 cm

Width = 5 cm

Area of Rectangle 2 = Length * Width = 8 cm * 5 cm = 40 cm²

Total area of the shape

= Area of Rectangle 1 + Area of Rectangle 2 = 45 cm² + 40 cm²

= 85 cm²

Therefore, the total area of the shape is 85 cm².

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If f(x) = 3x -121, find the sum of values when f(x) = 4.
Write your answers for x as simplified fractions.
I
and x =
The sum of the values when f(x) = 4 is

Answers

The required value of the function x is 41.6

What is a function ?

This relationship is typically represented as y = f(x), or "f of x," where y and x are coupled such that for each value of x, there is a specific value of y. This means that f(x) can only have one value for a given x. In set theory jargon, a function connects an element x to an element f(x) in another set.

Given : f (x ) = 3x - 121

to find ; value of f ( x ) when f (x) = 4

Since two values of f(x ) are given

we can simply equate these two values

and the answer which we will get is the final answer

thus we get

3x - 121 = 4

3x = 121 + 4

3x = 125

x = 125/ 3

x = 41.6

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Please solve the question below

Answers

Answer:

be chill bro but which subject is this

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