Answer:
<em><u>=15a−8</u></em>
Step-by-step explanation:
Let's simplify step-by-step.
4(2a−1)−4+7a
Distribute:
=(4)(2a)+(4)(−1)+−4+7a
=8a+−4+−4+7a
Combine Like Terms:
=8a+−4+−4+7a
=(8a+7a)+(−4+−4)
=15a+−8
Answer:
=15a−8
hope i helped
-lvr
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
Answer:
w^2+
9
+
2
0
Step-by-step explanation:
1) 12 cookies per hour
2) train travels 80 miles per hour
