a female bunny gained one pound per week for six weeks. a male bunny gained two pounds per week for six weeks. how many more pounds did the male bunny gain than the female bunny. two pieces of information are missing

The inverse of this function is f(x) = [tex] \frac{x + 9}{7} [/tex].

All inverse functions can be found by switching the x and f(x) values. Then you can solve for the new f(x). The result is the inverse function. Below is the step-by-step process for finding one.

f(x) = 7x - 9 ----> Switch the x and f(x)

x = 7f(x) - 9 -----> Add 9 to both sides

x + 9 = 7f(x) ----> Divide both sides by 7

f(x) = [tex] \frac{x + 9}{7} [/tex]

Answer:

P'( -3 ,5).

Step-by-step explanation:

Given  : Point P' is the image of P(3, 5), under a reflection across the y-axis.

To find : What are the coordinates of P'

Solution : We have given  

Pre image  P( 3 ,5 ).

Rule of reflection  over y axis : ( x ,y) →→→( -x , y) .

Here , x = 3  ; y = 5

Then ,  ( 3 ,5) →→→( -3 , 5) .

Therefore, P'( -3 ,5).

Answer:

C. commutative property

Step-by-step explanation:

Answer: square root of 136

Step-by-step explanation:

Answer:

  -23, -21, -19

Step-by-step explanation:

The middle one is the average of the three: -63/3 = -21. The others are 2 units either side of this one.

For the first part, part a, we are given that:

0.01b^2+ ∗ +100c^2

In quadratic equations we know that the middle term (the one that is missing) will be twice the square root of the first and the last terms.

Now, we know that the square root of the first term is: [tex] \sqrt{0.01b^2} =0.1b [/tex] Let us represent this by [tex] x [/tex]. Therefore, [tex] x=0.1b [/tex]

and the square root of the last term is: [tex] \sqrt{100c^2} =10c [/tex]

Let this be [tex] y [/tex]. Therefore, [tex] y=10c [/tex]

Therefore, the middle term, * is: [tex] 2xy=2\times0.1b\times 10c=2bc [/tex]

Likewise in the part b, we will have the middle term to be:

[tex] 2\times \sqrt{25a^2} \times \sqrt{\frac{1}{4}b^2} =2\times 5a\times \frac{1}{2}b=5ab [/tex]

because the first and the last terms are 25a^2 and 1/4 b^2 and we know that the middle term will be twice the square root of the first and the last terms.

Volume is the amount of 3-dimensional space an object occupies

Volume is measured in cubic units.To find Volume Multiply the length, the width, and the height.

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.

The rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm.

Substituting these values in the formula.

Volume = 5∙212∙112

Option A. 5∙212∙112 is the right answer.

Final answer:

To graph g(x) = 7x+10 from f(x) = 7x, shift the entire line upwards by 10 units to adjust for the new y-intercept of 10 while maintaining the same slope of 7.

Explanation:

To graph the function g(x) = 7x+10 based on the graph of f(x) = 7x, you need to alter the y-intercept. Original function f(x) is a straight line with a slope of 7 and a y-intercept of 0. However, function g(x) has the same slope of 7 since the coefficient of x is the same, but the y-intercept is increased by 10. This means that you need to shift the entire line of f(x) upwards by 10 units on the y-axis.

Start by placing a point at (0,10) on the graph to represent the new y-intercept. Then, using the slope of 7, for every 1 unit you move to the right on the x-axis, move 7 units up to plot another point. Repeat this process for a few more points to get an accurate line, and then draw a straight line through your points to complete the graph of g(x).

Catie needs to babysit for more than 10.33 hours to start making a profit in her new babysitting business. She must babysit for at least 11 hours to cover her initial $36 advertising cost and start earning a profit.

The question involves creating and solving an inequality to determine how many hours Catie needs to babysit to make a profit in her new babysitting business. Catie spent $36 on advertising and charges an initial fee of $5 plus $3 per hour of babysitting. We represent the total earnings as a function of the number of hours (h) she works, with the equation being 5 + 3h (the $5 initial fee plus $3 for each hour). To find out when Catie starts to make a profit, we set her earnings greater than her initial investment of $36.

The inequality is: 5 + 3h > 36.

To solve this inequality:

Interpreting the solution, Catie needs to babysit for more than 10.33 hours to start making a profit. Since she cannot babysit for a fraction of an hour, she must babysit for at least 11 hours to ensure a profit.

The first step to solve this problem is to find the area of the rectangular piece of fabric.

A of triangle = bh/2

A = (14 cm) (6 cm) /2

A = 84 cm^2 / 2

A = 42 cm

And since there are 31 pieces of the fabric, the total area of all the pieces of fabric is:

31 pieces of fabric x 42 square centimeters per piece = 1,302 square centimeters

To computer how many congruent triangular patches can be cut, you have to divide the total area of the fabric pieces with the area of the congruent triangle:

1,302 square centimeters / 21 square centimeters = 62

Therefore, Leia can cut 62 patches.

Answer:

d

Step-by-step explanation:

y=6/5x+3

To find out how many cookies Gavin can bake in 4 hours, we multiply the number of cookies he makes in one hour (70) by 4, resulting in 280 cookies.

If Gavin bakes 70 cookies in one hour, to calculate the number of cookies he can bake in 4 hours, we simply need to multiply the amount he can bake in one hour by 4. The calculation is as follows:

Therefore, the correct answer is C. 280 cookies.

Answer:

He will be 0 miles from his house.

Step-by-step explanation:

Since, he jogs the same round trip path.

Thus,

[tex]\text{His final distance from his house }=d_1-d_2[/tex]

Where, [tex]d_1[/tex] = The distance he covered in first trip (towards playground)  

[tex]d_2[/tex] = The distance he covered in second trip (towards house),

In his first trip,

He covered 0.7 miles to the park and then 0.5 miles from the park to the playground.

[tex]d_1 = 0.7 + 0.5 = 1.2\text{ miles}[/tex],

In his second trip,

He covered 0.3 miles to the bridge and then 0.9 miles from the bridge to his house

[tex]d_2 = 0.3 + 0.9 = 1.2\text{ miles}[/tex],

[tex]\text{His final distance from his house }=1.2-1.2=0\text{ miles}[/tex]

Answer:

Which conversion requires division? Use the metric table to help answer the question.

D) decigrams to dekagrams

Step-by-step explanation:

if you played the game 1000​ times, [tex]\$ 263.20[/tex] are expected to​ lose.

[tex]Probability=\dfrac{Favourable\; outcomes}{Total\; number\; of\; outcomes}[/tex]

Probability of winning[tex]=\dfrac{1}{38}[/tex]

if out of total [tex]38[/tex], [tex]1[/tex] game has been won, so rest have been lost,so

Probability of losing [tex]=\dfrac{37}{38}[/tex]

Hence Expected of the game to the player  [tex]=175 \times \dfrac{1}{38}-5 \times \dfrac{37}{38}[/tex]

                                                                        [tex]=\dfrac{175}{38}- \dfrac{185}{38}\\\\=\$ -0.2632[/tex]

A)The expected value is [tex]\$ -0..2632[/tex] (is losing)

B)if you played the game [tex]1000[/tex] times,

so it will be [tex]1000 \times \$ -0.2632=\$263.20[/tex]

Learn more about Probability here;

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