Which graph models the solution set of 50x + 150y>1500?
2 answers:
Answer:
see attached diagram
Step-by-step explanation:
First, draw the dashed line 50x+150y=1500 (dashed because the inequality is without notion "or equal to"). You can do it finding x and y intercepts.
When x=0, then 150y=1500, y=10.
When y=0, then 50x=1500, x=30.
Connect points (0,10) and (30,0) to get needed dashed line.
Then determine which region (semiplane) you have to choose. Note that origin's coordinates (0,0) do not satisfy the inequality 50x + 150y>1500, because
This means that origin lies outside the needed region, so you have to choose the semiplane that do not contain origin (see attached diagram).
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Answer:
A)
B)
C)
Step-by-step explanation:
Given the exponential expression, :
A) is equivalent to
due to the Product Rule of exponents:
.
Next, apply the Power-to-Power Rule of exponents: .
B) is equivalent to
due to the Power-to-Power Rule of exponents:
.
.
C) is equivalent to
due to the Product-to-Power Rule of exponents:
.