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jarptica [38.1K]
4 years ago
14

Given the functions f(x) = – 3x – 5 and g(x) = x^2 – 4, find g(f(x)).

Mathematics
1 answer:
IceJOKER [234]4 years ago
5 0
Answer is b . G)f(x))=9x^3+30x
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Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of th
White raven [17]
We know that
<span>the length of the straw before it was folded is equal to the perimeter of the triangle

perimeter=12x</span>²-6 in
substitute the value of x 
x=1.5 in
perimeter=12*(1.5)²-6-----> 21 in

the answer is
21 in
7 0
4 years ago
Read 2 more answers
The area of a rectangle is 21 yd.² and the length of a rectangle is 1 yard or less than twice the width find the dimensions of t
emmasim [6.3K]

Answer:

length = 6 yards

width = 3.5 yards

Step-by-step explanation:

the length of a rectangle is 1 yard less than twice the width

LEt 'w' be the width of the rectangle

and 'l' be the length of the rectangle

length l = 2 times the width -1

so l = 2w -1

Area of the rectangle = length * width

Area = l * w

we know length is 2w-1  and given area = 21

21 = (2w-1) * w

21= 2w^2 - w

subtract 21 on both sides

0= 2w^2 - w - 21

now solve for 'w'

0= 2w^2 +6w -7w- 21

0 = 2w(w+3)-7(w+3)

0= (2w-7)(w+3)

2w-7 = 0                    and w+3 =0

w = 7/2                            w=-3

width cannot be negative so we ignore w=-3

width w= 3.5

length = 2w-1= 2(3.5) - 1= 7-1=6

length = 6 yards

5 0
4 years ago
how many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 3 times
Lelechka [254]
I believe you would do 2 times 3, which gives you 6. 3 is for the number of coin tosses, and 2 is the number of sides of a coin.
6 0
3 years ago
The Massachusetts Department of Employment and Training predicted that there will be 21% more jobs for computer programmers in M
vova2212 [387]

Answer:

19,324

Step-by-step explanation:

The original amount is 100% of the original amount since 100% means a whole amount.

A 21% increase means that the new amount will be 100% + 21% = 121% of the original amount.

Now we calculate 121% of 15,970.

To find a percent of a number, multiply the percent by the number. First, divide the percent by 100 to change it into a decimal.

121% of 15,970 =

= 121% * 15,970

= 1.21 * 15,970

= 19,323.7

Answer:

19,324

4 0
3 years ago
A base angle of an isosceles triangle contains 75º. How large is the vertex angle?
Shkiper50 [21]
Answer is B, there are two equal base angles in an isosceles triangle, so given that ( 75+75 =150), the total of the interior angles in any triangle is 180, so 180-150 =30 ( which is the vertex angle) , the upper angle of the triangle.
4 0
3 years ago
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