Answer:
f(2) = 12
f(x) = 7, x = -3, 1
Step-by-step explanation:
<u>a)</u>
plug in x as 2
f(x) = 2^2 + 2(2) + 4
f(x) = 4 + 4 + 4
f(x) = 12
<u>b)</u>
replace f(x) with 7
7 = x^2 + 2x + 4
x^2 + 2x - 3 (move 7 to other side)
Factor
ac: -3x^2
b: 2x
split b into 3x, -x
(x^2 -x) + (3x - 3)
↓ ↓
x(x-1) + 3(x-1)
Factor: (x-1)(x+3) = 0
Solve using Zero Product Property:
x - 1 = 0, x + 3 = 0
x = 1, x = -3
Answer:
It's a.
Step-by-step explanation:
(a - 2b)^2 + 8ab
= a^2 - 4ab + 4b^2 + 8ab
= a^2 + 4ab + 4b^2.
((a + 2b)^2 = a^2 + 4ab + 4b^2.
Answer:
I think that its 58 degrees
To solve this problem you must apply the proccedure below:
1. You have that one canned juice drink is 20% orange juice and another is 5% orange juice.
2. You must make a system of equation, as below:
x+y=15 (i)
0.20x+0.05y=0.15x15 (ii)
3. Now, you must find the value of x (the liters of the first canned needed) and y (the liters of the other canned needed):
x+y=15 (i)
x=15-y
0.20x+0.05y=0.15x15 (ii)
0.20(15-y)+0.05y=2.25
y=5 liters
x+y=15 (i)
x=15-5
x=10 liters
4. Therefore, the asnwer is:
10 liters of the canned juice drink that is 20% orange juice and 5 liters of the other canned juice drink that is 5% orange juice.
