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:
Jack wants to give a treat to his 4 friends. Jack buys a big chocolate
filled cake. He divides the cake into 1/3 pieces. How much cake did each friend get?
4 × 3
−−−− = 6cm²
2
6 × 3 = 18cm²
10 × 5 = 50cm²
50 + 18 + 6 = 72cm²
Answer:
Step-by-step explanation:
Given
Required
Determine the probability of selecting two fakes
The probability can be represented as thus: 
Using the following probability formula, we have:
Each probability is calculated by dividing number of fakes by total number of gems:
The minus 1 (-1) represent the numbers of fake and total gems left after the first selection
<em>Hence, the required probability is approximately 0.504</em>
Looking at the first half of all the options, only x=2-4y can be derived from the original equations therefore
Final answer:
A. 2-4y for x in 5x+y=8
Hope I helped :)
