MATHEMATICS MIDDLE SCHOOL

What is the function of f(g(x)) if f(x)= x^2+1 and g(x)=3x

Answers

Answer 1

Answer:

Step-by-step explanation:

For this composition function, $f(g(x))$ , we should substitute $g(x)$ anytime we see an $x$ variable in $f(x)$ :

$x^(2) + 1$

$[g(x)]^(2) + 1$

$(3x)^(2) + 1$

$9x^(2) + 1$

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Harry and Selma start driving from the same location. Harry drives 42 miles north while Selma drives 144 miles east. How far apart are Harry and Selma when they stop?
HELP I tried it but I don't see where this is going, and I don't even know what equation I would put to finish.. please help
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PLEASE HELPA yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.

Number of pages 50 100 150 200
Cost 1.55 2.25 2.95 3.65

Which equation gives the cost, y, in terms of the number of pages, x?

A.

y = 0.014x + 49.15

B.

y = 0.014x + 1.55

C.

y = 0.014x + 0.85

D.

y = 58.8x + 0.85

Answers

First, you have to find the slope.
(3.65 -2.95 )/ (200-150) =m
And then you use like the point-slop form, you can just take a random point and plug it into the equation and solve.
For example, y-3.65= 0.014 (x-200) and you distribute 0.013x-2.8=y-3.65
Add 3.65 on both sides
y=0.014x +0.85

Sorry if this was confusing.. D:

C. if you plug the x and y values in the equation balances out and both sides are equal :)

Can someone plz help me with this

Answers

it would be the first one :)

Guys, I really really need some help badly! I don't understand how to get the "GCF" aka greatest common factor. Can someone please explain this to me in full detail and show all work? Thanks in advance!

Answers

After I explain the procedure in full detail, you'll be able to generate
your own work. Here it is.

To find the greatest common factor of two numbers:

1). List all of the factors of the first number.

2). List all of the factors of the second number.

3). Scan both lists, and find factors that are on BOTH lists.
These are the COMMON factors. Write them down in a short list.

4). Scan the short list. Find the biggest number on it.
That's the Greatest Common Factor.

OK, I'll go through the first one in your picture . . . 24 and 42 :

1). Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

2). Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

3). Short list: 1, 2, 3, 6

4). Biggest number on the short list: 6

number : answer
(1.) 6

(2.) 7

(3.) 4

(4.) 12

(5.) 3

(6.) 10

Substitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false. If true, find a value that would result in a false number sentence. If false, find a value that would result in a true number sentence. 1. 15a ≥ 75. Substitute 5 for a.