Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A:</u>
f(x) = -x² + 4x - 10
f(2) = -(2)² + 4(2) - 10
f(2) = -4 + 8 - 10
f(2) = 4 - 10
f(2) = -6
<u>Part B:</u>
g(x) = 5x + 1
g(6) = 5(6) + 1
g(6) = 30 + 1
g(6) = 31
<u>Part C:</u>
f(x) = -x² + 4x - 10
f(-1) = -(-1)² + 4(-1) - 10
f(-1) = -1 - 4 - 10
f(-1) = -5 - 10
f(-1) = -15
<u>Part D:</u>
g(x) = 5x + 1
16 = 5x + 1
15 = 5x
3 = x
x = 3
Answer:
p = 18 in
a = 25 in²
Step-by-step explanation:
perimeter = sum of the sides
p = 4 1/3 + 5 1/3 + 8 1/3
p = 18 in
Area = 1/2 * base * height
a = 1/2 * 8 1/3 * 6
a = 1/2 * 50
a = 25 in²
0.25 , 0.40 , 0.67, 35.
Hope this helps :)
Answer:
P=0.228
Step-by-step explanation:
We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.
Therefore, we have 34 people.
We calculate the number of possible combinations:

Of the 6 professors we choose 2, and of the other 28 people we choose 4.
We calculate the number of favorable combinations:

Therefore, the probability is:

Answer:
Plug in your x value into your equation --> y=2x+3
Step-by-step explanation:
Do this for each x-value that's missing the y- value :)