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2 years ago

Write the equation in slope-intercept form. (-7,-2), (2,3)

Mathematics

1 answer:

Vadim26 [7]2 years ago

6 0

Answer:

y = -5/9x + 4.1

(try doing this yourself first with different points to make sure this is the right answer, because im to lazy to check myself but ill try checking D:)

Step-by-step explanation:

first you have to find the slope . to do this use the equation y2 - y1/ x2 - x1

so write as -2 - 3/ -7 - 2 is equal to -5/-9

so now write y = -5/9x + b

we must now find the y-intercept so substitute one of the points given. lets substitute 2,3 it looks easier. So it will look like 3 = -5/9(2) + b

3 = -5/9(2) + b

3 = -10/9 + b

b = 3 + 10/9

b = 4.111111

um just round to the tenth place

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Help needed ASAP will give you BRAINLIEST and 5 stars

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Answer

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3 years ago

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There are 12 people in cafe. half of them are drinking coffee. How many people are drinking coffee?

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The answer is 6 people.

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2 years ago

Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig

Debora [2.8K]

Answer:

P [ 1689 ≤ X ≤ 2267 ] = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean μ₀ = 1730

Standard Deviation σ = 257

We need to calculate z scores for the values 1689 and 2267

We apply formula for z scores

z = ( X - μ₀ ) /σ

X = 1689 then

z = (1689 - 1730)/ 257 ⇒ z = - 41 / 257

z = - 0.1595

And from z table we get for z = - 0,1595

We have to interpolate

- 0,15 0,4364

- 0,16 0,4325

Δ = 0.01 0.0039

0,1595 - 0,15 = 0.0095

By rule of three

0,01 0,0039

0,0095 x ?? x = 0.0037

And 0,4364 - 0.0037 = 0,4327

Then P [ X ≤ 1689 ] = 0.4327 or P [ X ≤ 1689 ] = 43,27 %

And for the upper limit 2267 z score will be

z = ( X - 1730 ) / 257 ⇒ z = 537 / 257

z = 2.0894

Now from z table we find for score 2.0894

We interpolate and assume 0.9815

P [ X ≤ 2267 ] = 0,9815

Ths vale already contains th value of P [ X ≤ 1689 ] = 0.4327

Then we subtract to get 0,9815 - 0,4327 = 0,5488

Finally

P [ 1689 ≤ X ≤ 2267 ] = 0,5488 or P [ 1689 ≤ X ≤ 2267 ] = 54,88 %

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3 years ago

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Leno4ka [110]

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

Order of Operations: BPEMDAS
Distributive Property
Expand by FOIL (First Outside Inside Last)
Combining like terms

Step-by-step explanation:

Step 1: Define function

f(x) = x² + 3x³

f(x + h) is x = x + h

Step 2: Simplify

Substitute: f(x + h) = (x + h)² + 3(x + h)³
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Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx

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2 years ago

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finlep [7]

Answer:

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Step-by-step explanation:

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