All categories

3 years ago

Use the distributive property to write an expression that is equivalent to 7(3x-4)

Mathematics

2 answers:

egoroff_w [7]3 years ago

6 0

21x-28 is the answer because first remember to get rid of the parentheses first by using distributive property!

MariettaO [177]3 years ago

5 0

Answer:

21x-28

Step-by-step explanation:

When 7 is distributed across this equation, you get 21x and 28

You might be interested in

Need help with courseReplace 250 with 575 and -3 with -5.

Svetlanka [38]

Given

The demand function

$p(x)=\frac{250}{\sqrt{x}}-5$

To determine:

a) The revenue function.

b) The marginal revenue.

c) The marginal revenue when x=200.

d) The equation of tangent, and its derivation.

Explanation:

It is given that,

$p(x)=\frac{250}{\sqrt{x}}-5$

a) The revenue function is given by,

$\begin{gathered} R(x)=x\cdot p(x) \\ R(x)=x\times(\frac{250}{\sqrt{x}}-5) \\ R(x)=250\sqrt{x}-5x \end{gathered}$

b) The marginal revenue function is,

$\begin{gathered} R^{\prime}(x)=\frac{d}{dx}(R(x)) \\ =\frac{d}{dx}(250\sqrt{x}-5x) \\ =250\times(\frac{1}{2}\times x^{-\frac{1}{2}})-5 \\ =\frac{125}{\sqrt{x}}-5 \end{gathered}$

c) The marginal revenue when x=200 is,

$\begin{gathered} R^{\prime}(200)=\frac{125}{\sqrt{200}}-5 \\ =\frac{125}{10\sqrt{2}}-5 \\ =8.8388-5 \\ =3.8388 \\ =3.84 \end{gathered}$

Hence, the marginal revenue is 3.84.

d) Let y=mx+c is the tangent.

Then,

$y=3.84x+c$

That implies, for y=12.68, and x=200,

$\begin{gathered} 12.68=3.84\times200+c \\ 12.68=768+c \\ c=12.68-768 \\ c=-755.32 \end{gathered}$

Hence, the equation of tangent is,

$y=3.84x-755.32$

8 0

1 year ago

The volume of a cube is 512 cubic inches what is the length of each side of the cube

Evgen [1.6K]

Answer:

Step-by-step explanation:

volume of cube=l×w×h

in a cube all this are equal so volume=l³

512=l³

cube root on both sides leaves

∛512=l

l=8

6 0

3 years ago

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete

Nookie1986 [14]

y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.

6 0

3 years ago

Anna makes 120 dolls each month to sell. This month, she increases the number of dolls she makes by 30%. How many dolls does Ann

Tresset [83]

30% = .3

120 x .3 = 40

120 + 40 = 160

Anna makes 160 dolls

5 0

3 years ago

Kennedy inaugural argument for the government helping the poor in the country?

Sedbober [7]

Step-by-step explanation:

Sorryyyyy

it is not mathematics

6 0

3 years ago