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2 years ago

A student attempted to generate an equivalent expression using the distributive property, as shown below:

Mathematics

1 answer:

Stells [14]2 years ago

4 0

He didn't multiply the y by 7

$7(y-5) = 7y-35$

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Which of the following expressions are factors of p(x)=60x4+24x3−45x2−18x?

Whitepunk [10]

The factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Step-by-step explanation:

We need to find factors of the expression $p(x)=60x^4+24x^3-45x^2-18x$

Solving the expression: $p(x)=60x^4+24x^3-45x^2-18x$

Taking 3x common:

$p(x)=3x(20x^3+8x^2-15x-6)$

Now, factor by grouping, the terms inside the bracket.

$p(x)=3x((20x^3+8x^2)+(-15x-6))$

$p(x)=3x(4x^2(5x+2)-3(5x+2))$

$p(x)=3x(4x^2-3)(5x+2)$

So, the factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Keywords: Finding Factors

Learn more about finding factors at:

#learnwithBrainly

5 0

2 years ago

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.

DanielleElmas [232]

Answer:

C 18 x minus 9 = 72

D 3 (6 x minus 3) = 72

E x = 4.5

Step-by-step explanation:

Hope this helped

6 0

2 years ago

Read 2 more answers

Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number

mojhsa [17]

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

7 0

2 years ago

The lines shown below are perpendicular. If the green line has a slope of

DedPeter [7]

The opposite reciprocal of -1/9 is 9
So the answer is A

3 0

2 years ago

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The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

$V = \dfrac{1}{3}\pi r^2 h$

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0

2 years ago