Answer:
OPTION A: Divide both the sides by 5
Step-by-step explanation:
We are given: 5z - 3 = 12
When we add 9 to both sides we get:
5z - 3 + 9 = 12 + 9
⇒ 5z + 6 = 21
⇒ 5z = 21 - 6 = 15
⇒ 5z = 15
To find the value of z we have to divide both the sides by 5.
i.e., 
⇒ z = 3.
this is the answer to your equation
Answer:
Ask: Which two numbers add up to 44 and multiply to 33?
11 and 33
2
Rewrite the expression using the above.
(x+1)(x+3)(x+1)(x+3)
Answer:
(c) 9
Step-by-step explanation:
You can't have a repeated x-value in a function.
8 is taken by (8, 7)
7 is taken by (7,-6)
-4 is taken by (-4, 5)
9 is the only number that is not taken by any other point yet.
Remember that for a relationship to be a function it can't have repeated x-values. However, it doesn't matter to have the same x and y values!
Hope this helped!
A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.
“Or” indicates that, as long as either statement is true, the entire compound sentence is true.
Now as shown in the graph, the solution inequality of the graph is :
x > 3 and x < 5 [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]
Now let's solve each option to find if it fits in with the above inequality
Option 1 : 2x-4 > 6 or 3x < 9
⇒ x > 5 or x < 3
Option 2 : 2x - 4 < 6 and 3x > 9
⇒ x < 5 and x > 3
Option 3 : 3x + 8 > -7 or -4x < 12
⇒ 3x > -15 or x < -3
⇒ x > -5 or x < -3
Option 4 : 3x + 8 < -7 and -4x > 12
⇒ 3x < -15 and x > -3
⇒ x < -5 and x > -3
So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9
has its solution set on the graph.
