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3 years ago

Identify the slope and y−intercept of the line with the equation 18x − 6y = 12.

Mathematics

1 answer:

DaniilM [7]3 years ago

5 0

And where is the graph? I'll change my answer.

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%20lnx%20%7D%20" id="TexFormula1" title=" \sqrt[4]{ lnx } " alt=" \sqrt[4]

Kamila [148]

Use the power rule for differentiation:

$\dfrac{\text{d}}{\text{d}x} (f(x))^k = k(f(x))^{k-1}f'(x)$

You can use this formula if you remember that a root is just a rational exponential:

$\sqrt[4]\ln(x) = (\ln(x))^{\frac{1}{4}}$

So, remembering that the derivative of the logarithm is 1/x, you have

$\dfrac{\text{d}}{\text{d}x} (\ln(x))^{\frac{1}{4}} = \frac{1}{4}(\ln(x))^{\frac{1}{4}-1}\dfrac{1}{x}$

Which you can rewrite as

$\dfrac{1}{4}(\ln(x))^{\frac{1}{4}-1}\dfrac{1}{x} =\dfrac{1}{4}(\ln(x))^{\frac{-3}{4}}\dfrac{1}{x} =\dfrac{1}{4}\dfrac{1}{\sqrt[4]{\ln(x))^3}}\dfrac{1}{x} = \dfrac{1}{4x\sqrt[4]{\ln(x))^3}}$

3 0

2 years ago

-4 1/4 divided by 2 3/4

yarga [219]

Answer:

-1.5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

2. If GFE~GJH, find the value of FG.

Alex73 [517]

Answer:

77 units

Step-by-step explanation:

Given two similar triangles.

Corresponding parts of similar figures have same ratio.

Use ratios to find the value of x:

(4x - 5)/(x + 7) = 35/12.5
(4x - 5)/(x + 7) = 14/5
5(4x - 5) = 14(x + 7)
20x - 25 = 14x + 98
20x - 14x = 98 + 25
6x = 123
x = 123/6
x = 20.5

Find the value of FG:

FG = 4*20.5 - 5 = 77

5 0

3 years ago

Chec

nexus9112 [7]

Answer:

Functions: y = -x + 11, y = 2x^2 - 6x + 4, y = 7

Not Functions: x = 3, x^2 + y^2 = 81, y^2 = -5x - 12

8 0

2 years ago

In a survey of 200 game lovers,it was found that 130 liked football, 90 liked cricket, and 20 didn't like both games.i) How many

qaws [65]

Step-by-step explanation:

Hey, there!!

Your required answer is:

i). = 40

ii). = 90

See explanation in picture..

Here, no(F) represents no. of people who just like football. and n (F intersection C) represents who like both games.

Hope it helps...

5 0

3 years ago