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2 years ago

What is the equation of the line that has a slope of -4/5 and a y-intercept of -1/6

Mathematics

1 answer:

baherus [9]2 years ago

3 0

To make an equation of a line, you must put it in Y=mx +b form.

m = slope and b = y-intercept

Now just plug in

Answer is Y= -4/5x - 1/6

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Using the numbers 1,2,3,4,5,6,7,8,9 use four to make it equal 19 you may only use these numbers once! Thank you! Example: 5+3+7+

irga5000 [103]

9+1+4+5=19
9+2+3+5=19
8+4+2+5=19

Here you go

6 0

2 years ago

Read 2 more answers

How to differentiate ?

Bas_tet [7]

Use the power, product, and chain rules:

$y = x^2 (3x-1)^3$

• product rule

$\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d(x^2)}{\mathrm dx}\times(3x-1)^3 + x^2\times\dfrac{\mathrm d(3x-1)^3}{\mathrm dx}$

• power rule for the first term, and power/chain rules for the second term:

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(x-1)^2\times\dfrac{\mathrm d(3x-1)}{\mathrm dx}$

• power rule

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(3x-1)^2\times3$

Now simplify.

$\dfrac{\mathrm dy}{\mathrm dx} = 2x(3x-1)^3 + 9x^2(3x-1)^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2 \times (2(3x-1) + 9x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2(15x-2)}$

You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.

On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify

$\ln(y) = \ln\left(x^2(3x-1)^3\right) \\\\ \ln(y) = \ln\left(x^2\right) + \ln\left((3x-1)^3\right) \\\\ \ln(y) = 2\ln(x) + 3\ln(3x-1)$

Differentiate both sides and you end up with the same derivative:

$\dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac2x + \dfrac9{3x-1} \\\\ \dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \times x^2(3x-1)^3 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(15x-2)(3x-1)^2$

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2 years ago

Find the student's error in solving the following

zheka24 [161]

x>7

Step-by-step explanation:

when dividing by a (-)

the inequality sign changes

5 0

2 years ago

Read 2 more answers

Help please!!!!;;;;;;;;;;;;;;;;;;;;

kozerog [31]

Hey!

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Solution:

= (-18) - (4)

= -18 - 4

= -22

When you subtract a positive to a negative number the end result will always be negative.

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Answer:

B. 22

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Hope This Helped! Good Luck!

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3 years ago

Find the social security tax deducted for each weekly pay check of $237

worty [1.4K]

14.69 in dollars and 6.2 percent

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3 years ago