Step-by-step explanation:
x/5 + 7 = 16
x/5 = 16 - 7
x/5 = 9
x = 9×5
= 45
1. F(3)= -2(3)-5
-6-5
F(3)=-11
2. F(3)= -2(3)^2-4
-6^2-4
36-4
F(3)=32
3. F(x)=−2x−5
For: x=−2, f(x) is:f(−2)=(−2×−2)−5=4−5=−1
For: x=−1, f(x) is:f(−1)=(−2×−1)−5=2−5=−3
For: x=1, f(x) is:f(1)=(−2×1)−5=−2−5=−7
For: x=2, f(x) is:f(2)=(−2×2)−5=−4−5=−9
The Range is:
{−1,−3,−7,−9}
4. -80, -110
Answer:
x = - 1 and x = 5
Step-by-step explanation:
Given
(x - 3)² + 2(x - 3) - 8 = 0
Let u = x - 3, then
u² + 2u - 8 = 0 ← solve for u
(u + 4)(u - 2) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 4 = 0 ⇒ u = - 4
u - 2 = 0 ⇒ u = 2
Convert back to x, that is
x - 3 = - 4 ( add 3 to both sides ) ⇒ x = - 1
x - 3 = 2 ( add 3 to both sides ) ⇒ x = 5
Answer:
x = 12, y = 17
Step-by-step explanation:
x+5 = 2x-7
x = 12
y = x+5 = 17
Answer:
a. Yes
b. No
Step-by-step explanation:
To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.
1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:

1 is greater than or equal to 1, so (3,1) is a solution.
2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:

However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.