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3 years ago

Where do the lines y=2x+1 and y=-5x-6 intersect?

Mathematics

2 answers:

Gnoma [55]3 years ago

5 0

Answer:

(-1, -1)

Step-by-step explanation:

To find where two lines in slope-intercept form intersect, set them equal to each other.

2x + 1 = -5x - 6

7x = -7

x = -1

Knowing they intersect at x = -1, substitute -1 into either of the two equations to find the y-value of their intersection.

y = 2(-1) + 1

y = -2 + 1

y = -1

So the intersection point of the two lines is (-1, -1).

kipiarov [429]3 years ago

3 0

Answer: (-1,-1)

Explanation:

I added a picture

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Answer: 18

Step-by-step explanation:

The formula to find the minimum sample size is given by :_

$n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation.

z*= critical z-value.

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Given : $\sigma= 13$

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$\Rightarrow\ n=(4.186)^2$

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

$-2x^2+4x=5\\\\-2x^2+4x-5=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-4\pm\sqrt{(4)^2-4(-2)(-5)}}{2(-2)}\\\\x=\frac{-4\pm\sqrt{16-40}}{-4}\\\\x=\frac{-4\pm\sqrt{-24}}{-4}\\ \\x=\frac{-4\pm2i\sqrt{6}}{-4}\\ \\x=\frac{2\pm i\sqrt{6}}{2}$

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