Step-by-step explanation:
1. f(x) = 12x + 1
f(-2) = 12(-2) + 1 = -23
f(0) = 12(0) + 1 = 1
f(3) = 12(3) + 1 = 37
2. p(x) = -8x - 2
p(-2) = -8(-2) - 2 = 14
p(0) = -8(0) - 2 = -2
p(3) = -8(3) - 2 = -26
3. m(x) = -6.5x
m(-2) = -6.5(-2) = 13
m(0) = -6.5(0) = 0
m(3) = -6.5(3) = -19.5
4. s(x) = ⅖x + 3
s(-2) = ⅖(-2) + 3 = -⅘ + 3 = 11/5
s(0) = ⅖(0) + 3 = 3
s(3) = ⅖(3) + 3 = 6/5 + 3 = 21/5
5. h(x) = ¾x - 6
h(-2) = ¾(-2) - 6 = -6/4 - 6 = -30/4
h(0) = ¾(0) - 6 = -6
h(3) = ¾(3) - 6 = 9/4 - 6 = -15/4
(B)
if <em>f</em>(a) = K, then that means <em>f </em>sends (a) to (K).
the inverse function, <em>f</em>-1, goes back where you started, so <em>f</em>-1 <em />sends (K) to (a).
<em>f</em>-1(K) = a.
Since you know Z = 2, you can plug it into:
Y = 5 · Z²
Y = 5 · (2)²
Y = 5 · 4
Y = 20
Now that you know Y = 20, you can plug it into:
X = 2 + 5Y
X = 2 + 5(20)
X = 2 + 100
X = 102
Now that you have X, plug it into "2+2X=?"
2 + 2x = ?
2 + 2(102) = ?
2 + 204 = ?
206 = ?
Answer:
Choice D is correct;
r = -0.953
Step-by-step explanation:
r-value refers to the correlation coefficient between two sets of data and is use to assess the degree of association between two variables.
The value can be calculate manually or by use of software. In this case I employed the correlation function in Ms. Excel an the output is shown in the attachment below.
The function to use is; = correl
The answer is 92/8/11 or 1020/11
Reason: 170/55=34/11
34/11x30= 92/8/11 or 1020/11
