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VMariaS [17]
3 years ago
5

Factor the polynomial by grouping : x^3+5x^2-6x-30

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.

x^3+5x^2-6x-30

(x^3+5x^2)+(-6x-30)

x^2(x+5)+(-6x-30)

x^2(x+5)-6(x+5)

(x^2-6)(x+5)

-------------

Answer: (x^2-6)(x+5)

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The Jacobian has determinant

\det\mathbf J=\begin{vmatrix}2u+v&u\\v^2&2uv\end{vmatrix}=(2u+v)2uv-uv^2=4u^2v+uv^2=uv(4u+v)
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4 years ago
Gym A charges $60 a month plus $5 per visit. The monthly cost at Gym B is represented by y = 7x + 40, where x is the number of v
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Answer:

See the explanation

Step-by-step explanation:

Given data

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let the number of visits be x, and the total charge be y

Hence the total charge is expressed as

y=5x+60--------------1

Gym B is represented by

y = 7x + 40-----------2

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6 0
3 years ago
Two variables are defined, a regression equation is given, and one data point is given.
rusak2 [61]

Answer:

<em>Predicted height: 57.42 inches</em>

<em>Residual: 2.58 inches</em>

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<u>Regression Equation</u>

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We must compare the predicted value of the equation vs the real data point Age=12, Height=60

Computing the predicted height

Hgt = 24.3 + 2.76(12)

Hgt=57.42 inches

The residual is the difference between the real data point and the predicted value

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Answer:

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Step-by-step explanation:

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4 years ago
Please help please pls
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The answer for this question is 59
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3 years ago
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