Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
<h3>Part A)</h3>
2(x - 3) = 3x - 3
<em>open the parenthesis</em>
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
<em>subtract 2x from both sides</em>
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
<em>add 3 to both sides</em>
-6 + 3 = x
-3 = x
<h3>
Part B)</h3>
|2x + 6| = 8
<em>split this into two equations:</em>
<em>2x + 6 = 8</em>
<em>&</em>
<em>2x + 6 = -8</em>
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
<h3>Part C)</h3>
-5(x + 1) > 30
<em>open the parenthesis</em>
-5x - 5 > 30
<em>add 5 to both sides</em>
-5x > 35
<em>divide both sides by -5</em>
x > -7
<em>since you divided by a negative, flip the sign.</em>
x < -7
<h3>
Part D)</h3>
f(x) = 4x - 3
<em>substitute x for 5</em>
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
Answer:
A. 10 bricks
B. 4 pounds
Step-by-step explanation:
Water = 39 pounds
brick dust = 48 pounds
Total mixture = water + brick dust
= 39 + 48
= 87 pounds
She spills 13 pounds of the mixture while stirring
Remaining mixture = Total mixture - Spillage
= 87 pounds - 13 pounds
= 74 pounds
The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture
Number of bricks made = Remaining mixture / pounds per brick
= 74 pounds / 7 pounds
= 10 bricks remaining 4 pounds of the mixture
A. What is the greatest number of bricks Lynn can make?
10 bricks
B. How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
4 pounds
Answer:
(C) 3 feet
Step-by-step explanation:
We have a function of f(x) here. When Sarina throws the ball, it has been 0 seconds since she threw it.
Since x represents the amount of seconds, we can find the height of the ball (f(x)) by substituting x in as 0.
0 squared is 0, 0 minus zero is 0, and 0+3 = 3, so
Meaning that when Sarina threw the ball, it's height was 3 feet.
Hope this helped!
Answer: 900
Step-by-step explanation: the basic formula for volume is length × width × height so 12x5x15=900
Answer:
C
Step-by-step explanation:
srslly its easy just look at it
