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3 years ago

A line has a slope of 2 and a y-intercept of 7. What is its equation in slope-intercept form? *

Mathematics

1 answer:

Debora [2.8K]3 years ago

4 0

Answer:

y=2x+7

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope

b is the y-intercept

To put the equation into slope intercept form take the numbers you were given for the slope and y-intercept and pug them into the spot in the equation for them. In this problem that gives you y=2x+7.

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A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.

tatyana61 [14]

Answer:

(a) $g(n)=0.05\cdot 2^n$

(b) $g^{-1}(n)=\log_{2}20g(n)$

Step-by-step explanation:

Part A

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

$g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n$

Part B

$g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)$

Part C

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

$g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43$

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

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2 years ago

The population of New York City is 23,945. Eastdale has a population of 12,774 What is the total population of the two communiti

serious [3.7K]

No.d
37,619

I hope that this helps you and please mark me as the brainliest.

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2 years ago

HELP! A S A P! ONLY ANSWER IF YOU'RE 100% SURE.

Sidana [21]

ANSWER

Three (3) cartons of juice

Y=3X+68.25

80=3X+68.25
Subtract 68.25 from both sides
11.75=3X

Divide

11.75/3=3.91
He can't buy a portion of a juice but he doesn't have enough to buy 4

So he can afford 3 juice cartons

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2 years ago

Okay my math final is tomorrow and i need help with variable expressions. If anyone has any websites or apps they recommend, ple

Solnce55 [7]

https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.khanacademy.org/math/algebra/one-variable-linear-equations/alg1-intro-equations/v/variables-expressions-and-equations&ved=2ahUKEwjrpqD1gZziAhUBsp4KHVePBeEQwqsBMAB6BAgHEAU&usg=AOvVaw0AYOWzWFGI7vP8YUOvBhPc Here is a video that's helpful to me

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2 years ago

Point A is at (-5, -4) and point M is at (0, -3.5).

ludmilkaskok [199]

Answer:

The coordinates of point B are (5,-3)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$