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maxonik [38]
3 years ago
12

If f(x)=25−x2 and g(x)=x+5, what is (fg)(x)? Write your answer in simplest form. When f(x)=25−x2 and g(x)=x+5, (fg)(x)=

Mathematics
1 answer:
nirvana33 [79]3 years ago
5 0
(fg)(x) means to multiply the functions f(x) * g(x).
(25 - x^2)(x + 5)
25 * x = 25x
25 * 5 = 125
- x^2 * x = - x^3
- x^2 * 5 = - 5x^2
Putting it all back together:
- x^3 - 5x^2 + 25x + 125
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Please help!.......
larisa86 [58]
(f+g) means add the expressions together. combine like terms.
5 {x}^{2}  + 3 {x}^{2}  = 8 {x}^{2}
- 2x + x =  - x
there is no other constant term so the -4 stays as is.
4 0
3 years ago
The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of
AveGali [126]

Answer:

There is sufficient evidence to support the claim that the standard deviation is less than 14.7.

Step-by-step explanation:

From the question we are told that that the null hypothesis is

       H_o  :  \sigma < 14.7

Now given from the question that this null hypothesis was rejected, it mean, in non technical term that there is sufficient evidence to support the claim that the standard deviation is less than 14.7.

3 0
3 years ago
Jared has $18 to spend. He buys lunch for $3.87 and a tie for $5.95. Jared buys a magazine with the remaining money. How much do
AleksandrR [38]
3.87 + 5.95 = 9.82
18 - 9.82 = 8.18
8 0
4 years ago
Read 2 more answers
write a system of linear equations that has only one solution. solve the system of equations in two ways.
Iteru [2.4K]
X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.

Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42
7 0
3 years ago
What is the sum of the first five terms of a geometric series with a1 =20 and r =1/4?
drek231 [11]
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,

                            <span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)

Substituting the known terms,
                           Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
                           Sn = 26.5625

Thus, the sum of the first four terms is 26.5625. </span></span>
5 0
3 years ago
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