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2 years ago

Which polynomial represents the difference below?

Mathematics

2 answers:

ololo11 [35]2 years ago

7 0

Answer:

$-x^2+10x+7$

Step-by-step explanation:

3x^2+8x+7-(4x^2-2x). find the difference of the polynomials

First remove the parenthesis by multiplying minus inside the parenthesis.

$3x^2+8x+7-4x^2+2x$

Now we combine like terms. the terms with same variables and same exponents are like terms.

$3x^2-4x^2= -1x^2$

$8x +2x= 10x$

$3x^2+8x+7-(4x^2-2x)=-x^2+10x+7$

Elza [17]2 years ago

4 0

− x^ 2 + 10 x + 7 so the answer is B.

hope it helps

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Find the inverse function

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To find the inverse of any function, start by switching the x and f(x) term. Then solve for the new f(x). The result will be the inverse function. The step-by-step process is below for you.

f(x) = $\frac{-15 + 4x}{3}$ ----> Switch the x and f(x)

x = $\frac{-15 + 4f(x)}{3}$ ----> Muliply both sides by 3

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2 years ago

A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb

Monica [59]

Answer: $4x^{2}+80x-500=0$

Step-by-step explanation:

1. You know that:

- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

$A=l*w$

Where $l$ is the lenght and $w$ is the width.

You have that the lenght and the width in feet are:

$l=30\\w=10$

3. Let's call $x$ the width of the roped-off area. Then, the combined area is:

$A_c=l_c*w_c$

Where

$A_c=800$

$l_c=l+x+x=30+2x$

$w_c=w+x+x=10+2x$

4. Substitute values and simplify. Then:

$800=(30+2x)(10+2x)$

$800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0$

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3 years ago

Read 2 more answers

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Lemur [1.5K]

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