Question: Which equation is equivalent to
Option A:
Option B:
Option C:
Option D:
Answer:
Option C:
Solution:
Given expression:
Convert 16 to the base 2 and 32 to the base 2.
Using exponential rule:
Using the rule,
8p = 5p + 15
3p = 15
p = 5
Substitute p = 5 in given expression, we get
<u>To find the equivalent expression to the given expression:</u>
Option A:
Using the rule,
⇒ 4p = 4p + 3
⇒ 0p = 3
No solution for p, so it is not equivalent to the given expression.
Option B:
Using the rule,
⇒ 4p = 4p + 12
⇒ 0p = 12
No solution for p, so it is not equivalent to the given expression.
Option C:
Using the rule,
⇒ 8p = 5p + 15
⇒ 3p = 15
⇒ p = 5
Substitute p = 5 in , we get
It is equivalent to the given expression.
Option D:
Using the rule,
⇒ 8p = 5p + 3
⇒ 3p = 3
⇒ p = 1
Substitute p = 1 in , we get
It is not equivalent to the given expression.
Hence Option C is the correct answer.
True
Y=-2x-3
Y=-x-2 (rearranged for y intercept form)
Insert -1,-1 into both
-1= -2(-1) -3
-1=-1
Y=-x-2
-1=-1(-1) -2
-1=-1
Both equal
Answer:
Judah's hourly wage is $7/hr.
Step-by-step explanation:
x = (86 + 12)/14
x = 98/14
x = 7
We have these system of inequalities:
In this way, we have two straight lines that can be solved as follows:
This two lines has been plotted in the Figure below and the region of the inequality is indicated in gray color. Therefore, each point in this region satisfies the system of inequalities. To illustrate this, let's take a point within the gray region, say (0, 0):