Answer:
f(g(x)) = 10x + 7
Step-by-step explanation:
(f . g)(x) = f(g(x)) is the composition of the functions f(x) and g(x).
f(g(x)) means that g(x) becomes the input for f.
Now, f(x) = 2x - 3 and g(x) = 5x + 5.
f(g(x)) = f(5x + 5)
= 2((5x + 5) - 3)
= 10x + 10 - 3
= 10x + 7
f(g(x)) = 10x + 7 is the required answer.
Answer:
12 times 5=60 not 70
Step-by-step explanation:
12(5+2y)=4y-(5-9y
60+24y=4y-5-9y
60+24y=-5y-5
29y+60=-5
29y=-65
y=-65/29 or y= about -2.38
brainliest please
Answer:
1/6 serving
Step-by-step explanation:
1 SERVING = 3/2 OUNCES
x = 1/4 OUNCES
<u>CROSS MULTIPLY.</u>
1 * 1/4 ( serving * ounces) = x * 3/2 (ounces)
<u>REARRANGE, THEN DIVIDE BOTH SIDES BY </u><u>3/2 OUNCES</u><u> TO MAKE </u><u>x </u><u>THE SUBJECT.</u>
x * 3/2 (ounces) = 1 * 1/4 ( serving * ounces)
[x * 3/2 (ounces)] / 3/2 OUNCES = [1 * 1/4 ( serving * ounces)] / 3/2 OUNCES
x = (1/4) / (3/2) SERVING
x = 1/4 * 2/3 (serving)
x = 1/2 * 1/3 (serving)
x = 1/6 serving
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0.2 (y+2) = 0.2y + 0.2(2)
= 0.2y + 0.4
A. P(492 < x-bar < 512)
<span>z = (492-502)/100/√90 </span>
<span>z = -0.95 is 0.1711 </span>
<span>z = (512-502)/100/√90 </span>
<span>z = 0.95 is 0.8289 </span>
<span>b. P(505 < x-bar < 525) </span>
<span>z = (505-515)/100/ √90 </span>
<span>z = -0.95 </span>
<span>z = (525-515)/100/ √90 </span>
<span>z = 0.95 </span>
<span>P(-0.95< z < 0.95) = 0.6578 </span>
<span>P(-0.95< z < 0.95) = 0.6578 </span>
<span>c. P(484 < x-bar < 504) </span>
<span>z = (484-494)/100/√100 </span>
<span>z = -1 is 0.1587 </span>
<span>z = (504-494)/100/√100 </span>
<span>z = 1 is 0.8413 </span>
<span>P(-1< z <1) = 0.6826</span>
