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3 years ago

For all values of x and y, which expression is equivalent to 8x + 6y? A) 2(4x + 3y) B) 2x + 3y C) 3(4x + 2y) D) 4(2x + 3y)

1 answer:

8 0

The answer would be 2(4x + 3y) cause the 2 gets multiplied by the numbers in the parentheses so 2x4x = 8x and 2x 3y = 6y

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3 years ago

Isosceles trapezoid ABCD has legs If AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18, find the value of y

castortr0y [4]

Answer:

The value of y is y=15

Step-by-step explanation:

We have:

AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18

We define the isosceles trapezoid as it has two opposites parallel, the two other opposites legs are equal and also the diagonals are equal.

Here AB = CD

6y-3 = 7y-18

Combine the like terms:

18-3 = 7y-6y

15 = y

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3 years ago

What are all of the real roots of the following polynomial? f(x) x^4-24x^2-25

Greeley [361]

Answer:

x = ±5

Step-by-step explanation:

We are given the following polynomial function and we are to find all of its real roots:

$x^4-24x^2-25$

Let $y=x^2$ so we can now write it as:

$y^2-24y-25$

Factorizing it to get:

$(y^2+y)+(-25y-25)$

$y\left(y+1\right)-25\left(y+1\right)$

$\left ( y + 1 \right ) \left ( y - 2 5 \right)$

Substitute back $y=x^2$ to get:

$\left ( x^2 + 1 \right ) \left ( x^2 - 25 \right )$

$\left ( x^2 + 1 \right ) \left ( x + 5 \right ) \left ( x - 5 \right )$

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.

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4 years ago

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Answer:

$5.38 per pound

Step-by-step explanation:

70/13=5.384615

5.38x13=69.94

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3 years ago

Dannielle's test grades are 83, 92, 99, 86 and 90. What is the median of her grades?

Butoxors [25]

Answer: 90

Step-by-step explanation:

83, 86, 90, 92, 99

90 is in the middle <3

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3 years ago