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Agata [3.3K]
3 years ago
9

Select ALL the correct answers. Select all the expressions that are equivalent to the polynomial below. (4x+5)(-3x-1)

Mathematics
1 answer:
AfilCa [17]3 years ago
4 0
The answers are:
 A. (-16x²+10x-3)+(4x²<span>-29x-2)
</span> C. 2(x-1)-3(4x²+7x+1)
 D. (2x²-11x-9)-(14x²+8x-4)
 The explanation is shown below:
 1- When you apply the distributive property to the polynomial <span>(4x+5)(-3x-1), you obtain the following form:
</span> -12x²-19x-5
 2- If you apply the same property to the polynomials shown in the options above and add the terms with equal exponents, you will obtain that the polynomials that has the same form are:
 A. (-16x²+10x-3)+(4x²-29x-2):
 -16x²+10x-3+4x²-29x-2
 -12x²-19x-5
 C. 2(x-1)-3(4x²+7x+1)
 2x-2-12x²-21x-3
 -12x²-19x-5
 D. (2x²-11x-9)-(14x²+8x-4)
 2x²-11x-9-14x²-8x+4
 -12x²-19x-5  
 
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Step-by-step explanation:

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2 years ago
Maddie bought 3 2/3 yards of satin ribbon at the craft store. She wanted to make hair bows for the cheer squad. Each bow require
kotegsom [21]

Answer:

4

Step-by-step explanation:

Given that:

Total yards of satin bought by Maddie = 3\frac{2}{3} yards

Number of yards required make one ribbon = \frac{2}{3} yards

To find:

Number of complete bows that can be made ?

Solution:

First of all, let us learn about converting the mixed fraction to fractional form.

Formula:

a\dfrac{b}{c} = \dfrac{a\times c+b}{c}

Therefore, total yards of satin bought by Maddie can be written in fractional form as:

3\dfrac{2}{3} = \dfrac{3\times 3+2}{3} = \dfrac{11}{3}

One hair bow requires \frac{2}{3} yards of ribbon.

Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.

Answer is:

\dfrac{\frac{11}{3}}{\frac{2}{3}}\\\Rightarrow \dfrac{11\times 3}{2\times 3}\\\approx 4

4 hair bows can be made.

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2 years ago
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Svetllana [295]

Answer:

Step-by-step explanation:

Let (a,b)\in \mathbb{R}^{2}, a reflection over the x-axis consists in the following operation:

(a,b) \rightarrow (a,-b)

If we know that X = (-4,3) and Y = (2, 3), then the points translated over the x-axis are X' = (-4, -3) and Y' = (2,-3), respectively. The most precise description of the shape is a rectangle for the following facts:

1) XX' = YY' = 8 and XY = X'Y' = 6.

2) X and X' have the same x-component.

3) Y and Y' have the same x-component.

4) X and Y have the same y-component.

5) X' and Y' have the same y-component.

A representation of the shape is included below as attachment.

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