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4 years ago

7

It will be -12 tonight. The weatherman predicts it will be 25 warmer by noon tomorrow. What will the temperature be by tomorrow

noon?

1 answer:

Juliette [100K]4 years ago

7 0

It will be 13 Fahrenheit

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Divide. simplify your answer (2x^4-6x^3+4x^2-3x)*(2x)

lbvjy [14]

Answer:

$x^3-3x^2+2x-\frac{3}{2}$

Step-by-step explanation:

We can divide polynomials by other polynomials by dividing each term by the denominator. Remember, when we divide a variable by itself, we must change the exponent in our answer according to exponent rules.

$\frac{ (2x^4-6x^3+4x^2-3x)}{2x}=\frac{2x^4}{2x} -\frac{6x^3}{2x} +\frac{4x^2}{2x} -\frac{3x}{2x} =x^3-3x^2+2x-\frac{3}{2}$

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3 years ago

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Match the percent to the left with the appropriate estimate

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3 years ago

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A circular pizza has a diameter of 12 inches and is cut into 10 congruent slices. What is the area of each slice, to the nearest

Arte-miy333 [17]

Diameter=12in
radius=r=12/2=6in

$\\ \sf\longmapsto Area=2\pi r$

$\\ \sf\longmapsto Area=2(3.14)\times 6$

$\\ \sf\longmapsto Area=2(18.84)$

$\\ \sf\longmapsto Area=37.68in^2$

Now area of each slice

$\\ \sf\longmapsto \dfrac{37.68}{12}$

$\\ \sf\longmapsto 3.6in^2$

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3 years ago

The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Po

noname [10]

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

$A = B$

Step-by-step explanation:

<em>See comment for complete question</em>

Given

$A: (4x^2 - 4x)(x^2 - 4)$

$B: (x^2 + x - 2)(4x^2 - 8x)$

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

$A: (4x^2 - 4x)(x^2 - 4)$

Factor out 4x

$A: 4x(x - 1)(x^2 - 4)$

Apply difference of two squares on x^2 - 4

$A: 4x(x - 1)(x - 2)(x+2)$

For, Polynomial B: We have:

$B: (x^2 + x - 2)(4x^2 - 8x)$

Expand x^2 + x - 2

$B:(x^2 + 2x - x - 2)(4x^2- 8x)$

Factorize:

$B:(x(x + 2) -1(x + 2))(4x^2- 8x)$

Factor out x + 2

$B:(x -1) (x + 2)(4x^2- 8x)$

Factor out 4x

$B:(x -1) (x + 2)4x(x- 2)$

Rearrange

$B: 4x(x - 1)(x - 2)(x+2)$

The simplified expressions are:

$A: 4x(x - 1)(x - 2)(x+2)$ and

$B: 4x(x - 1)(x - 2)(x+2)$

Hence, both polynomials are equal

$A = B$

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3 years ago