Answer:
B.2r+6=30
Explanation:
It costs $6 dollars just to get in. Subtract 6 from 30. 30-6=24
Divide 24 by 2. 24 divided by 2 equals 12.
Answer:
D
Step-by-step explanation:
To obtain f(g(x)) substitute x = g(x) into f(x), that is
f(10 - 5x)
= (10 - 5x)² + 5 ← expand (10 - 5x)²
= 100 - 50x - 50x + 25x² + 5 ← collect like terms
= 25x² - 100x + 105 → D
Answer:
If you cube the numbers in the left column, you get the numbers in the right column! We can figure this out by understanding that 1^3 = 1, 3^3 = 27, and 6^3 = 216. Then it all falls into place!
1 -> 1
2 -> 8
3 -> 27
5 -> 125
6 -> 216
11 -> 1331
8 -> 512
10 -> 1000
7 -> 343
14 -> 2744
p -> 
-> q
Answer:
y = x - 16
Step-by-step explanation:
The <em>y-intercept</em> is the value of the function when x = 0.
If f(x) = x - 16, f(0) = 0 - 16 = -16.
A is <em>wrong</em>, because f(0) = -16(0) + 1 = 0 + 1 = 1.
B is <em>wrong</em>, because f(0) = 16(0) + 1 = 0 + 1 = 1.
D is <em>wrong</em>, because f(0) = 0 + 16 = 16.
The sum of the 5 terms in the arithmetic series is 40.
Step-by-step explanation:
Step 1; First we need to determine the three values between a1= -14 and a5=30. The difference between the first and fifth value = 30 - (-14) = 30 + 14 = 44.
Since there are 4 values after a1 we divide the difference by the number of terms, the difference between each term = 44 / 4 = 11. So the difference between each term is 11.
Step 2; To find out the terms we just add the difference to the previous number.
a1 = -14.
a2 = -14 + 11 = -3.
a3 = -3 + 11 = 8.
a4 = 8 + 11 = 19.
a5 = 19 + 11 = 30.
So a1 + a2 + a3 + a4 + a5 = -14 -3 + 8 + 19 + 30 = 40.
