Answer with Step-by-step explanation:
We are given that:
f(x)=9x
A) f(4) f(1) = f(8) f(5)
f(4)f(1)=9×4×9×1=324
f(8)f(5)=9×8×9×5=3240
Hence, this option is incorrect
B) f(4)·f(1) = f(8)·f(5)
f(4)f(1)=324
f(8)f(5)=3240
Hence, this option is incorrect
C) f(4) − f(1) = f(8) − f(5)
f(4)-f(1)=9×4-9=27
f(8) − f(5)=9×8-9×5=27
Hence, this option is correct
D) f(4) − f(1) = f(−4) − f(−1)
f(4) − f(1)=9×4-9=27
f(−4) − f(−1)=9×(-4)+9=-27
Hence, this option is incorrect
Correct option is:
C) f(4) − f(1) = f(8) − f(5)
Answer: 544 cm²
<u>Step-by-step explanation:</u>
There are 5 sections to the tent:
- Front (triangle): A =
· b · h - Back (triangle): same dimensions as Front
- Base (rectangle): A = L · w
- Left Side (Rectangle): A = L · w
- Right side (rectangle): same dimensions as Left Side
Total Surface Area = Front & Back + Base + Sides
= 2[(12 · 8)] + (12 · 14) + 2(14 · 10)
= 96 + 168 + 280
= 544
Answer:
Step-by-step explanation:
Set up two equations with the information given-- and things you know from experience: a penny is worth 1 cent and a nickel is worth 5 cents. $ 2.38 is 238 cents (so you can eliminate decimals for now)
Put those values into an equation about the total value:
p + 5n = 238
and you know the total number of coins is 66.
p + n = 66
get a value for p by "solving" (subtract n from both sides)
p = 66-n
Substitute that value for p in the first equation. Then solve.
(66 -n) + 5n = 238
4n = 238-66 Then isolate n by dividing both sides by 4
n = 172/4
n = 43 Substitute that in the second equation, then solve for p
p + 43 = 66 p = 66 - 43
p = 23
So Chuck has 23 pennies and 43 nickels
Reflection across the x-axis:
the x coordinate will stay the same but y coordinate will change sign
for example ( 2, -4) will reflect to 2 , 4)
Check out option B
