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3 years ago

8

Rewrite f(x) = x2 + 12x + 26 in general form. Because both sides of the equals sign will be manipulated, replace the f(x) with t

he variable y.

1 answer:

Ann [662]3 years ago

8 0

Answer:

The equation

f(x) = x^2 + 12*x + 26

can be rewritten as

y = x^2 + 12*x + 26

More information about this equation can be seen in the picture attached below.

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Jessie is 6 years older than Todd, and Todd is 2 years younger than Ryan. If Ryan is r years old, which expression shows how old

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3 years ago

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Use the ruler to measure the length of the colored pencils, then select the line plot that best represents this data set.

Marta_Voda [28]

Its the last line plot

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2 years ago

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Which of the following pairs of functions are inverses of each other?

AnnyKZ [126]

Answer:

Step-by-step explanation:

Rearrange each function to solve for x.

Switch x and y,

The resulting equation is the inverse function.

A:

f(x) = y = 5+x

x = y-5

y = x-5

f⁻¹(x) = x-5

g(x) = 5-x ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

:::::

B:

f(x) = y = 2x-9

x = (y+9)/2

y = (x+9)/2

f⁻¹(x) = (x+9)/2

g(x) = (x+9)/2 = f⁻¹(x)

g(x) is the inverse of f(x).

:::::

C:

f(x) = y = 2/x - 6

x = 2/(y+6)

y = 2/(x+6)

f⁻¹(x) = 2/(x+6)

g(x) = (x+6)/2 ≠ f⁻¹(x)

:::::

D:

f(x) = y = x/3 + 4

x = 3y - 12

y = 3x - 12

f⁻¹(x) = 3x - 12

g(x) = 3x - 4 ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

4 0

2 years ago

O.9c + 1.89r = 17.01 c=18.9 - 2.1r equation answer

ikadub [295]

Answer:

$c=18.90-2.1r$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.90 +1.89r = 17.01 represents the relationship between the quantities in this situation.

Show that each of the following equations is equivalent to 0.9c + 1.89r = 17.01.

Then, explain when it might be helpful to write the equation in these forms.

a. c=18.9-2.1r. b. r= -10÷2c+9

we have that

The linear equation in standard form is

$0.90c+1.89r=17.01$

where

c is the pounds of chicken

r is the pounds of ribs

step 1

Solve the equation for c

That means ----> isolate the variable c

Subtract 1.89r both sides

$0.90c=17.01-1.89r$

Divide by 0.90 both sides

$c=(17.01-1.89r)/0.90$

Simplify

$c=18.90-2.1r$

step 2

Solve the equation for r

That means ----> isolate the variable r

Subtract 0.90c both sides

$1.89r=17.01-0.90c$

Divide by 1.89 both sides

$r=(17.01-0.90c)/1.89$

Simplify

$r=9-0.48c$

therefore

The equation $c=18.90-2.1r$ is equivalent

The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.

4 0

3 years ago

Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has

ki77a [65]

Answer:

432m^3

Step-by-step explanation:

The computation of the volume of the larger pyramid is shown below:

Let us assume the volume of the larger pyramid be x

Given that

The ratio of two pyramids is 25:36

We can say that

The Ratio of side = (The ratio of surface area)^ $\frac{1}{2}$ = $\frac{5}{6}$

Now

ratio of volume = (ratio of side)^3 = $\frac{5^{3}}{6^{3}}$ = 125 : 216

Based on the above information, the calculation is as follows

$\frac{125}{216} = \frac{250}{x}$

So,

$x = \frac{250 \times 216}{125}$

= 432m^3

5 0

2 years ago