Find a cubic polynomial that goes through points (4, – 22) and (3, - 26) and has tangents with slopes
respectively 11 and — 2 there. Check your work with a graphing utility.
f() =

Answer:

24 - X = 10

Step-by-step explanation:

Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:

Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.

Thus, this equation is solved in the following way:

24 - X = 10

24 = 10 + X

24 - 10 = X

14 = X

Answer:

3 Miles per hour. (MPH)

Step-by-step explanation:

This would be 1/7 x 21 = 21/7 = 3

Answer:

60*12*10-48*12*15=7200-8640=-1440

The red locker has more storage space by 1440 cubic inches.

Step-by-step explanation:

The red locker has more storage space by 1440 cubic inches.

We have given that,

Each locker is shaped like a rectangular prism.

The area of rectangular prism = 2(lb + bh + lh)

One locker has more storage space by how many more cubic inches

=60*12*10-48*12*15

=7200-8640

=-1440

The red locker has more storage space by 1440 cubic inches.

To learn more about the rectangular prism visit:

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Answer:

angle a is 110

angle B is 110

angle C is 70

Answer:

-8(3x-8)

Step-by-step explanation:

factor -8 out of -24x+64

Answer:

-8(3x-8)

Step-by-step explanation:

Answer:

She will have 7 dollars, with 96 cents remaining.

Step-by-step explanation:

326 pennies is $3.26

64 nickels is $3.20

15 dimes is $1.50

Add them all;

$3.26 + $3.20 + $1.50 = $7.96

She will have 7 dollars, with 96 cents remaining

Answer:

a) £320

b) £720

c) 2 days

Step-by-step explanation:

The question is all about inputting values and finding a result or rearranging and finding a result.

a) d = 6. C = 50(6)+20      = 320

b) d = 2x7 (7 days a week)  C = 50(2x7) + 20     = 720

c) C = 120 ... 120 = 50d+20

100 =50d      d = 100/50      = 2

Answer:

a. Not proportional

b. Proportional;

k = ⅞

Step-by-step explanation:

A proportional relationship is usually represented in the format, y = kx. k here represents constant of proportionality. This shows that x and y are directly proportional.

a. y = -2x + 9 is not a proportional equation.

b. y = ⅞x is a proportional equation.

Constant of proportionality: k = ⅞

Answer:

3(y + 5)

Step-by-step explanation:

Factorization is a process which is like the opposite of expansion. It involves factoring out the common factors from the given terms.

Thus to factorize 3y + 15, we have to consider the common factor(s) of the two terms. The common factor is 3 because the two terms (i.e 3y and 15) are both divisible by 3 only.

So that:

3y + 15= 3([tex]\frac{3y}{3}[/tex] + [tex]\frac{15}{3}[/tex])

           = 3(y + 5)

The outcome of the process is 3(y + 5).

Answer:

d

Step-by-step explanation:

base² + Altitude² = Hypotenuse²

 x² + 9² = 13²

x² + 81 = 169

       x² = 169 - 81

      x² = 88

      x = [tex]\sqrt{88}[/tex]

     [tex]x = \sqrt{2*2*2*11}=2\sqrt{2*11}\\\\x=2\sqrt{22}[/tex]

Answer:

option - d

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + b^2 = 13^2

81 +b^2 = 169

b^2 = 169 - 81 = 88

b= [tex]\sqrt{88}[/tex] = [tex]\sqrt{2 x 2 x2 x 11}[/tex] ( take the one doubling out )

           [tex]\sqrt[2]{2 x 11 }[/tex] = [tex]\sqrt[2]{22}[/tex]

Answer:

The cost per pound of the ham is $5.89.

Step-by-step explanation:

Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:

1 kg = 2.20462 pounds

2.20462 = 13

1 = X

((1 x 13) / 2.20462) = X

13 / 2.20462 = X

5.89 = X

Therefore, the cost per pound of the ham is $5.89.

Answer:

Complementary

Step-by-step explanation:

You are correct.

Answer:

Complementary

Step-by-step explanation:

b + a = 90 degrees.

complementary is 2 angles that add up to 90 degrees

Standard form:

1. y = x² - 4x - 5

2. y = x² - 2x - 8

3. y = x² + 4x - 21

4. y = x² + 12x + 20

5. y = x² + 8x + 12

6. y = x² + 4x + 3

7. y = x² - 8x + 7

8. y = x² - 6x + 8

9. y = x² + 10x - 11

Vertex form:

1. (x - 2)² - 9

2. ----

3. (x + 2)² - 25

4. ----

5. (x + 4)² - 4

6. (x + 2)² - 1

7. ----

8. (x - 3)² - 1

9. (x + 5)² - 36

Factored form

1. (x + 1) (x - 5)

2. (x + 2) (x - 4)

3. (x - 3) (x + 7)

4. (x + 10) (x + 2)

5. (x + 6) (x + 2)

6. (x + 3) (x + 1)

7. (x - 7) (x - 1)

8. (x - 2) (x - 4)

9. (x + 11) (x - 1)

Questions

1. Factored form

2. Factored form

3. Vertex form

4. Standard form

5. Standard form

6. Vertex form

NB: Finally finished ^-^ I hope all the answers to the questions are correct.

Answer:

a

Step-by-step explanation:

Answer:

ur dad lololol

Step-by-step explanation:

hehehehehehe

Answer:

15.87%

Step-by-step explanation:

We are given;

x¯ = 33

μ = 43

σ = 10

Let's first find the z-score from the formula;

z = (x¯ - μ)/σ

Thus;

z = (33 - 43)/10

z = -10/10

z = -1

From the table attached the p-value at z = -1 is p = 0.15866 ≈ 0.1587 = 15.87%

Thus, proportion of students finished worse than her is 15.87%

Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.

Answer:

Most of the important things in the world have been accomplished by people who have kept on trying when there seemed to be no hope at all

Step-by-step explanation:

you can do it!!!

Answer:

Explanation:

First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11

Answer:

y = 4x + 1

Step-by-step explanation:

first put the equation 4x-y=2 into the form y = mx + b where m is the slope and b is the y-intercept (for example, y = 2x - 1 would have 2 is the slope and -1 is the y-intercept)

4x - y = 2

subtract 4x from both sides

-y = -4x + 2

multiply both sides by -1

y = 4x - 2

That means the slope of this line is 4.

Parallel lines always have the same slope, so the slope of the new line is also 4. You can again put the new equation into the form y = mx + b. You already know that the slope is 4, so y = 4x + b.

Next, you need to find b. You know that (-1, -3) is a solution, so if you plug x = -1 and y = -3 into the equation, it should be true.

You can put that into the equation to solve for b:

-3 = 4 * -1 + b

-3 = -4 + b

1 = b

This means the equation is y = 4x + 1

The option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

Let's assume the points (2, 0) and (0, 5) lie on the line which is shown in the graph.

The linear function from these two points:

[tex]\rm y=\dfrac{\left(0-5\right)}{\left(2\right)}\left(x-2\right)[/tex]

[tex]\rm y=\dfrac{\left5\right}{\left2\right}\left(x-2\right)[/tex]

To find the inverse of a function interchange the value of x and y:

The inverse function:

[tex]\rm x=\dfrac{\left5\right}{\left2\right}\left(y-2\right)[/tex]

After plotting the points:

(11, -2), (8, -1), (5, 0), (2, 1), (-1, 2)

The points will lie exactly lie on the inverse of a function.

Thus, the option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.

Learn more about the function here:

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#SPJ1

Answer: 11 years

Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11

Answer: it will take 11 years

Answer:

I posted a picture on the graph and how the two point intercept eachother

Step-by-step explanation:

Hope this Helped

Answer:

7+12x+2y

Step-by-step explanation:

3-8+(12x + 12)+2y=

-5+(12x +12)+2y=

7+12x+2y

Answer:

Simplified, your answer should be 12x + 2y + 7

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

The time taken will be "0.5 seconds".

According to the question,

By using Newton's equation,

→                     [tex]s = ut+\frac{1}{2}gt^2[/tex]

Substituting the values,

                    [tex]48=88t+0.5\times 32\times t^2[/tex]

[tex]16t^2+886-48=0[/tex]

                       [tex]t = 0.5 \ seconds[/tex]

Thus the above solution is right.

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9514 1404 393

Answer:

Step-by-step explanation:

The right triangles are similar, so angle 1 is congruent to the given angle, and angles 3 and 5 are complements of that.

Angles 2 and 4 are the supplements of angles 1 and 5, respectively.

  ∠1 = 35°

  ∠2 = 180° -35° = 145°

  ∠3 = ∠5 = 90° -35° = 55°

  ∠4 = 180° -55° = 125°

Answer: $20.24

Step-by-step explanation: add 3.75+3.99+12.50

C, 80 square feet.

Have a nice day!

Answer:

B

Step-by-step explanation:

It is either 33 or 66 inches but I think it is B

Answer:

10 because

5 divide by 10 = 50

Step-by-step explanation:

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