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3 years ago

Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)

Mathematics

1 answer:

Hoochie [10]3 years ago

6 0

Answer:

y = -2x - 6

Step-by-step explanation:

Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.

Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:

y + 8 = -2(x - 1), or

y = -8 - 2x + 2, or

y = -2x - 6 (in slope-intercept form)

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muminat

Answer:

7 units

Step-by-step explanation:

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3 years ago

Marram spent 3/4 of her allowance at the mall. Of the money spent at the mall1/3 was spent on new earrings. What part of her all

nikitadnepr [17]

3/8 this is your answer so yahhh hope this heped

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3 years ago

-5(c-2)=20-5c+10<br> help please

Rudiy27

Answer:

10 is the answer

Step-by-step explanation:

C(5,2) = 5! / 2! (5-2)!

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3 years ago

Read 2 more answers

What kind of question will ask us to use this type of format to evaluate the integral instead of doing the regular integral eval

ANEK [815]

Answer:

Great work!

Step-by-step explanation:

These kind of questions are calculated through Riemann Sum. You can evaluate any definite integral using the Riemann Sum. It should be in the following form:

f(x)dx on the interval [a, b], or

$\int _a^b\:f\left(x\right)dx$

Now f(x) is simply y. Therefore in this example y = x^3 - 6x. We just need the sufficient amount of data to apply the Riemann Sum, including the interval [a, b] that bounds the area, and the the number of rectangles 'n' that we need to use.

Consider an easier approach to this question: (First attachment)

Graph: (Second Attachment)

6 0

3 years ago

For his troops' popcorn fundraiser sale, Mike sold caramel corn for $10, buttered microwave popcorn for $8, and lightly buttered

Bad White [126]

$\bf \begin{cases}
c=\textit{caramel corn}\\
b=\textit{buttered microwave popcorn}\\
p=\textit{lightly buttered popcorn}
\end{cases}$

so... he sold 400 items, that means, whatever those quantities of c,b,p are, they add up to 400, thus

c+b+p = 400

now, the "c" sold for $10
the "b" sold for $8
and the "p" sold for $7

so, the amount of revenue on the "c" is 10 * c, or 10c
the revenue on "b" is 8*b or 8b
and the revenue on "p" is 7*p or 7p

whatever those amounts are, they ended up in $3,272
thus
10c + 8b + 7p = 3,272

now, he sold more lightly buttered, or "p", than just buttered corn or "b"
he actually sold twice as much, so whatever "b" is, "p" is twice that much
or
p = 2b

thus $\bf \begin{cases}
c+b+\boxed{p}=400\\\\
\boxed{p}=2b\qquad thus\\\\
c+b+\boxed{2b}=400\qquad or\\\\
c+3b=400\implies c=\underline{400-3b}\\
--------------\\
10c+8b+7p=3272\qquad or\\\\
10(\underline{400-3b})+8b+7(\boxed{2b})=3272
\end{cases}$

solve for "b", to see how many buttered microwave popcorn Mike sold

how many lightly buttered? well, p = 2b
how many caramel ones? well c = 400 - 3b

5 0

3 years ago