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3 years ago

Write the standard form of the equation y - 6 = 3/4 (x - 5).

Mathematics

2 answers:

Blizzard [7]3 years ago

7 0

Answer:

$y=\frac{3}{4}x+\frac{9}{4}$

Step-by-step explanation:

$y-6=\frac{3}{4}(x - 5)$ to y = mx + b

$y-6=\frac{3}{4}(x-5)\\\\Distribute;\\\\y-6=\frac{3}{4}x-\frac{15}{4} \\$

Add 6 to both sides;

$-\frac{15}{4}+6 =-\frac{15}{4}+\frac{6}{1} \\\\\frac{-15+24}{4} =\frac{9}{4}$

yarga [219]3 years ago

5 0

Answer:

3x-4y=-9

Step-by-step explanation:

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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

6. What is the length of BC?

denis23 [38]

The length of BC is 9

6 0

2 years ago

(a) If a = b = c and a, b, c are in G.P. then prove that x, y, z in<br>H.P.<br>

Oduvanchick [21]

Answer:

neeeeeeeeeeeeeeeeeuuuuuuuuuuuuu58907

Step-by-step explanation:

8 0

2 years ago

What is the solution of 6x= 15 <br>

balandron [24]

Answer:

2.5

Step-by-step explanation:

When a variable is next to a number (coefficient) it means you need to multiply. In this equation 6x are next to eachother.

Because we don't know what x is, we have to work backwards.

The opposite of multiplying is dividing, so here we can do...

15/6 and that equals 2.5

To check you replace x with 2.5 like so,

6(2.5)= 15 and it is true!

Hope this helps and have a great day!

6 0

3 years ago

Answer?I need it pleaseeee

Elan Coil [88]

Answer: 20 dallors

Step-by-step explanation:

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2 years ago