Answer:
Step-by-step explanation:
Four
Start by trying to understand what f(x) means. First of all it is the same thing as y in the equation given in question 4. It is a shorthand that tells you that you put an x in wherever you see an x on the right.
More important, it tells you what to put in for x on the right.
f(z) would tell you to put z in for x anywhere there is an x on the right.
f(z)=2z+1. It is just a shorthand to tell you what to do on the right.
f(2) means put a 2 in for the x on the right. Read all of this carefully. You need to know it.
f(2) = 2(2) + 1
f(2) = 4 + 1
f(2) = 5
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Five
f(x) = -x - 5 The minus 4 is not going to change what you do.
f(-4) = -(-4) - 5 Wherever you see an x you put in a minus 4
f(-4) = 4 - 5
f(-4) = - 1
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Just so you know, consider a more complicated example
f(x) = 20x^3 + 7x^2 + 4x + 19
Where ever you see an x put in 2
f(2) = 20*(2^3) + 7*(2^2) + 4(2) + 19
f(2) = 20*8 + 7*4 + 4*2 + 19
f(2) = 160 + 28 + 8 + 19
f(2) = 215
Note x can be anything the question tells you it is.
f(5) means put a 5 in for every x.
Answer:
The question is incomplete, so I will describe the sine regression model.
The function
y = 0.884 sin(0.245x - 1.093) + 0.400
correspond to the general equation:
y = a sin(bx - c) + d
where:
a = 0.884
b = 0.245
c = 1.093
d = 0.400
The amplitude of the function is computed as follows:
amplitude = |a| = 0.884
The period of the function is computed as follows:
period = 2π/|b| = 25.6456
The phase shift of the function is computed as follows:
phase shift = c/b = 4.4612 to the right (because there is a minus sign before c in the equation)
The vertical shift of the function is computed as follows:
vertical shift = d = 0.400
1 I am just typing this because it makes me put 20 characters but the answer is 1
The equation that can be used to represent the situation given that x is the number of hours spent babysitting is 4(x + 8) = 56
<h3>How to write and solve equation</h3>
- Amount paid per hour for babysitting =$4
- Total amount made = $56
- Hours spent babysitting on Sunday = 8 hours
Total earned babysitting on Sunday = Hours spent babysitting on Sunday × Amount paid per hour
= 8 × 4
= $32
Number of hours he babysat on Saturday = $56 - (8 × 4) ÷ 4
= 56 - 32 ÷ 4
= 24 ÷ 4
= 6 hours
A. 8x+4 = 56
8x = 56 - 4
8x = 52
x = 52/8
x = 6.5
B. 4x+8 = 56
4x = 56 - 8
4x = 48
x = 48/4
x = 12
C. 8(x + 4) = 56
8x + 32 = 56
8x = 56 - 32
8x = 24
x = 24/8
x = 3
D. 4(x + 8) = 56
4x + 32 = 56
4x = 56 - 32
4x = 24
x = 24/4
x = 6
Learn more about equation:
brainly.com/question/16863577
