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3 years ago

Solve the following system of equations graphically on the set of axes below.

Mathematics

1 answer:

Galina-37 [17]3 years ago

3 0

Slope for 1st is -1, y intercept is (0,2)
Slope for 2nd is 1/4, and y intercept is (0,7)

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If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (u/v)(x)

choli [55]

Answer:

c) -x^3 + x^2 - 1

Step-by-step explanation:

Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2

(u/v)(x) = u(x)/v(x)

Now plug in the given functions in the above formula, we get

= (x^5 - x^4 + x^2) / -x^2

We can factorize the numerator.

In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.

= x^2 (x^3 - x^2 + 1) / - x^2

Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.

(u/v)(x) = (x^3 - x^2 + 1) / -1

When we dividing the numerator by -1, we get

(u/v)(x) = -x^3 + x^2 - 1

Answer: c) -x^3 + x^2 - 1

Hope you will understand the concept.

Thank you.

6 0

4 years ago

Read 2 more answers

I’m about to cry from frustration. Help please before I die

kvv77 [185]

Answer:

$\frac{1}{3}x+16=37$

63 Jelly Beans

Step-by-step explanation:

The unknown is the number of jelly beans originally in the bag or x

First he had x jelly beans

The he ate one-third of them

$\frac{1}{3}x$

He then ate 16 more jelly beans

$\frac{1}{3}x+16$

This was equal to 37 jelly beans

$\frac{1}{3}x+16=37$

This is the equation

Now solve for x

Subtract 16 from both sides

$\frac{1}{3}x=21$

Multiply both sides by 3

$x=63$

63 Jelly Beans

7 0

3 years ago

Read 2 more answers

There were n votes cast in an election. Ms. Gordy received 32% of the votes. Which expression represents the number of votes Ms.

Mamont248 [21]

Answer:

Step-by-step explanation:

4 0

2 years ago

Solve x^4 - 3x^2 +2 = 0 using substitution.

Leona [35]

Answer:

x = ± 1 , x = ± $\sqrt{2}$

Step-by-step explanation:

Let u = x² , then

$x^{4}$ - 3x² + 2 = 0 , can be expressed as

u² - 3u + 2 = 0 ← in standard form

(u - 1)(u - 2) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

u - 2 = 0 ⇒ u = 2

Change the variable u back to x

x² = 1 ( take square root of both sides )

x = ± 1

x² = 2 ( take square root of both sides )

x = ± $\sqrt{2}$

4 0

2 years ago

How many gal is in 32 qt?

spin [16.1K]

There are 8 gallons in 32 quarts becuase 4 quarts = 1 gallon so 32 divided by 4 is 8. Hope this helped! :)

6 0

4 years ago