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3 years ago

13

Which of the following lines goes downwards from left to right?

1 answer:

Delicious77 [7]3 years ago

3 0

"Goes downwards from left to right" is basically saying that the slope of this line is negative. We go downhill from left to right.

y = 2x+5 has a positive slope because m = 2 is the slope (b = 5 is the y intercept)
So choice A is out

Similarly choice B is eliminated as well because the slope is also m = 2

Choice C is false as well. The slope here is m = 2 (think of y = 2x as y = 2x+0)

The only choice with a negative slope is choice D. The slope is m = -2

This is why the answer is choice D

Side Note: I'm using slope intercept form y = mx+b where m is the slope and b is the y intercept

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Solve x <br><br> 4x-5 /5 = 3

cluponka [151]

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−

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5

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4x+−1=3

4x−1=3

Step 2: Add 1 to both sides.

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Step 3: Divide both sides by 4.

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3 years ago

Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².

Liula [17]

Step-by-step explanation:

Let $y(x)=f(x)g(x)h(x)$ where

$f(x) = x^4$

$g(x)= (1 -2x^5)^6$

$h(x)= (5 - 8x^3)^2$

so that

$y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2$

Recall that the derivative of the product of functions is

$y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)$

so taking the derivatives of the individual functions, we get

$f'(x) = 4x^3$

$g'(x) = 6(1 - 2x^5)^5(-10x^4)$

$h'(x) = 2(5 - 8x^3)(-24x^2)$

So the derivative of y(x) is given by

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)$

or

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)$

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2 years ago

If 3v/7=6, then v=<br><br> What is the Answer to the problem?

Dmitrij [34]

<u>Let's solve this problem step-by-step</u>:

$\frac{3v}{7} =6\\\frac{3v}{7} *1=6\\\frac{3v}{7} *\frac{7}{7}=6\\ 3v = 6 * 7\\3v=42\\v=14$

<u>Thus v = 14</u>

<u />

<u>Answer: v= 14</u>

<u></u>

Hope that helps!

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1 year ago

A line intersects the point (3,-4) and has the slope of 17. What is the slope-intercept equation for this line

Softa [21]

Answer:

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Step-by-step explanation:

Convert the coordinates in point-slope form:

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BartSMP [9]

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