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2 years ago

Factor out -32y^2 - 24y

1 answer:

7 0

12y2 the 2 is an exponent
Explanation:
Write greatest common factor as GCF
Consider the variables
x
and
y
x
is only in one of them so it is not 'common'. Thus it is not included in the GCF
y2
×
y
=
y3
so
y2
is part of the GCF

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If you have 1,000 lbs. of plastic resin and need to mix 4% of colorant to it, how much colorant would you need to

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The answer is D. 40 lbs

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3 years ago

Find the linear function with the following properties. <br><br> f(0)=−9 Slope of f=−8

Ratling [72]

Answer:

f(x) = -8x - 9

Step-by-step explanation:

<h3>Given </h3>

<u>Function f, with </u>

f(0) = -9
Slope of f = -8

Linear function

<h3>Solution</h3>

<u>Slope-intercept formula</u>

f(x) = mx + b
f(0) = -9 means y-intercept b = -9, and the slope is m = - 8

<u>So the function is</u>

f(x) = -8x - 9

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3 years ago

Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your

Darina [25.2K]

Answer:

Given definite integral as a limit of Riemann sums is:

$\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Step-by-step explanation:

Given definite integral is:

$\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}$

Substituting (2) in above

$f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Riemann sum is:

$= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

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3 years ago

Two consecutive odd integers have a sum of -152. What are the two integers?

ZanzabumX [31]

Answer:

-75 and -77

Step-by-step explanation:

This can be wrote as $n+n+2=-152$ . Combine like terms and subtract 2 from both sides to get $2n=-154$ . Divide by two to get $n=-77$ and then add two to get -75.

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2 years ago

Using Pythagoras, find the lengths of the sides labelled with letters.

vladimir1956 [14]

Answer:

Step-by-step explanation:

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2 years ago