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3 years ago

Find the equation of the line passing through the point (1, 7) with a slope of -2.

Mathematics

1 answer:

Mariulka [41]3 years ago

4 0

Answer:

$y=-2x+9$

Step-by-step explanation:

we know that

The equation of a line in point slope form is equal to

$y-y1=m(x-x1)$

In this problem we have

$(x1,y1)=(1,7)\\m=-2$

substitute

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

Convert to slope intercept form

$y=mx+b$

$y-7=-2x+2$

$y=-2x+2+7$

$y=-2x+9$

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3 years ago

Please help!

Gemiola [76]

The derivative of $f(x) = 2\cdot x^{2}-9$ is $f'(x) = 4\cdot x$ .

In this exercise we must apply the definition of derivative, which is described below:

$f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}$ (1)

If we know that $f(x) = 2\cdot x^{2}-9$ , then the derivative of the expression is:

$f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}$

$f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}$

$f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h$

$f'(x) = 4\cdot x$

The derivative of $f(x) = 2\cdot x^{2}-9$ is $f'(x) = 4\cdot x$ .

We kindly invite to check this question on derivatives: brainly.com/question/23847661

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3 years ago

The regular price of a TV is $475. It's currently on sale for 20% off. What is the discount if you bought the TV during the sale

grin007 [14]

Answer:

475 x 0.20 = $95

475 - 95 = $380

Step-by-step explanation:

so your answer is $380!

hope this helps! :)

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3 years ago