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4 years ago

Multiply (x-3(4x+2) using the distributive property.

Mathematics

2 answers:

zheka24 [161]4 years ago

8 0

Answer:

$(x-3)(4x)+)x-3)(2)$

Step-by-step explanation:

Multiply $(x-3)(4x+2)$ using the distributive property.

Distributive property is a(b+c) is a times b + a times c

Distribute a inside the parenthesis

When we are given with two parenthesis , we distribute first parenthesis inside the second parenthesis

In the given expression, distribute (x-3) inside the second parenthesis

$(x-3)(4x+2)$

$(x-3)(4x)+)x-3)(2)$

lilavasa [31]4 years ago

3 0

D. (X-3)(4x)+(x-3)(2)

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Find the length of a rectangle that has a diagonal of 25 feet and a width of 15 feet

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The only sensible answer for the length is 20 feet

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4 years ago

What is an equation in point-slope form of the line that passes through (-7.1) and (-3.9)?

forsale [732]

Answer:

$y-1=2(x+7)$

Step-by-step explanation:

Point-slope form: $y-y_1=m(x-x_1)$ where a given point is $(x_1,y_1)$ and the slope is $m$

1) Find the slope of the line (m)

Slope = $\frac{y_2-y_1}{x_2-x_1}$ where the given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the points (-7,1) and (-3,9)

$= \frac{9-1}{-3-(-7)}\\= \frac{8}{-3+7}\\= \frac{8}{4}\\= 2$

Therefore, the slope of the line is 2. Plug 2 into the equation as m:

$y-y_1=2(x-x_1)$

2) Plug one of the given points into the equation

We plan either plug in (-7,1) or (-3,9) and it would work either way. Below you can see the equation plugging in the point (-7,1):

$y-1=2(x-(-7))\\y-1=2(x+7)$

I hope this helps!

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3 years ago

For all values of x, which expression is equivalent to 2x + 5 − x + 3x + x − 2?

koban [17]

Answer:

5x + 3

Step-by-step explanation:

1) Collect like terms.

(2x − x + 3x + x) + (5 − 2)

2) Simplify

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4 0

3 years ago

Read 2 more answers

Got a calc 1 question,

belka [17]

$v=\dfrac h{3x}\implies\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\frac{\mathrm dh}{\mathrm dt}-3h\frac{\mathrm dx}{\mathrm dt}}{3x^2}$

By the chain rule,

$\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{\mathrm dh}{\mathrm dx}\dfrac{\mathrm dx}{\mathrm dt}$

We have

$h(x)=4e^{2x-6}-x^2+5\implies\dfrac{\mathrm dh}{\mathrm dx}=8e^{2x-6}-2x$

and we're given that $x$ changes at a constant rate of $\frac{\mathrm dx}{\mathrm dt}=0.2$ thousand people per minute, which means

$\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\left(8e^{2x-6}-2x\right)\left(0.2\frac{\text{thousand people}}{\rm min}\right)-3h\left(0.2\frac{\text{thousand people}}{\rm min}\right)}{3x^2}$

At the moment $x=4$ thousand people are in the park, we have $h(4)=4e^2-11$ , so we find

$\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{12\left(8e^2-8\right)-3(4e^2-11)}{240}\dfrac{\text{thousand people}}{\rm min}=\dfrac{7(4e^2-3)}{80}\dfrac{\text{thousand people}}{\rm min}$

or approximately 2.324 thousand people per minute.

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4 years ago

A father has $500,000. After he pays expenses, he wants to divide what is left between his 4 children. The expenses total $120,0

Wittaler [7]

Answer: 95,000

Step-by-step explanation:

$500,000 - $120,000 = 380,000

380,000/4 = $95,000

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3 years ago