Answer: x = -8
Step-by-step explanation: To solve for <em>x</em> in this equation, our first task is to simplify the left side by distributing the 12 through both terms inside the parentheses.
When we do that, we get 12 times x which is
12x and 12 times 10 which is 120.
So we have 12x + 120 = 24.
Our next task is to isolate the x term by subtracting 120 from both sides of the equation. On the left, 120 - 120 cancels and we're left with 12x. On the right, 24 - 120 simplifies to -96 so we have 12x = -96.
To get <em>x</em> by itself, we divide both sides by 12 and <em>x = -8</em>.
Work is also attached in the image provided.
Answer:
- a) 6.5 seconds
- b) 13 seconds
- c) 679 ft
Step-by-step explanation:
<u>Given function:</u>
a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:
- h = -208/2(-16) = 6.5 seconds
b) <u>Time the ball was in the air:</u>
Solving we get approximately t = 13 seconds
c) <u>Maximum height is at vertex, we found t above:</u>
- h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
Answer: State B = 583 mp ; State A = 1,362 mp
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
State A = produced 779 million pounds more apples than State B.
Together the two states produced 1945 million pounds.
Using "x" as the pounds of apples produced by State B.
State A + State B = 1945
Replacing with the values of both States
779+X+X =1945
779 +2X =1945
2X = 1945-779
X = 1,166 /2 =583
We have found the amount in State B.
State B = 583
Replacing on A..
State A = 779 + X = 779 + 583 = 1,362
$38.00 x 0.25= $9.50
$38.00 - $9.50= $28.75
$28.75 x 0.06= $1.725
$28.75 + $1.73= $30.48
4/156 so
2/78 so
1/39 so approx. 2.5641%
