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3 years ago

Factor by grouping:

Mathematics

2 answers:

yan [13]3 years ago

8 0

The idea is to group up the terms into two groups, factor each group and then factor out the overall GCF

2x+16+xy+8y
(2x+16)+(xy+8y)
2(x+8)+(xy+8y)
2(x+8)+y(x+8)
(2+y)(x+8)
(x+8)(2+y)

Answer: Choice A

LiRa [457]3 years ago

8 0

For this one I'm not sure the best method but I find it easiest to use guess and check. Go through each answer and multiply it out. use the FOIL method shown in the picture. Multiply the first two in the parenthesis, F. Then the outer two, O. Then the inner two, I. Then the last two, L.

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What is the inverse of the function F(x)= 19/x^3?

AleksAgata [21]

set f(x) equal to y

y = 19/ x^3

swap x and y

x = 19/y^3

make y the subject

xy^3 = 19

y^3 = 19/x

$y = \sqrt[3]{ \frac{19}{x} }$

then just replace y with f^-1(x)

$f(x) = \sqrt[3]{ \frac{19}{x} }$

hope this helped! have a good day ~ •lipika•

4 0

3 years ago

Read 2 more answers

A system of equations is shown.

siniylev [52]

4x+20=5y
Divide 5 on both sides
so your answer would be
4/5x+4=y

x+15=3y
Divide 3 on both sides
so your answer would be
3x+5=y

6 0

3 years ago

Which of the following is the correct answer when you evaluate

hichkok12 [17]

Answer:

Youre answer would be y

≥

y≥7/13

Step-by-step explanation:

Move all terms not containing

to the right side of the inequality.

≥

13y≥7

Divide each term by

and simplify.

Divide each term in

≥

13y≥7

≥

13y13≥713

Reduce the expression by cancelling the common factors.

≥

y≥713

5 0

3 years ago

How to solve and the answer

algol13

A reciprocal just flips the fraction

1. $\frac{4}{3}$

2. $\frac{11}{1}$

3. Before it is flipped it is $\frac{9}{1}$ but it turns into $\frac{1}{9}$

Hope this helps!

6 0

3 years ago

An ellipse is represented by the equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28y-3%29%5E%7B2%7D%20%7D%7B169%20%7D%20%2

padilas [110]

Answer:

C. horizontal line that is 33.8 units

Step-by-step explanation:

We assume your equation should be ...

$\dfrac{(y-3)^2}{169}+\dfrac{(x+6)^2}{144}=1$

The largest denominator in this standard-form equation of an ellipse is under the y-term, so the major axis is vertical. The directrix will be a horizontal line.

The distance from the center to the directrix is always longer than the semi-major axis, so will be more than √169 = 13. This only leaves choice C.

If "c" is the center-to-focus distance, it will be the root of the difference of the denominators in the equation:

c = √(169 -144) = 5

For semi-major axis "a", the distance from the center to the directrix is ...

a²/c = (13²)/5 = 33.8 . . . . . matches choice C

5 0

3 years ago