Answer:
a. x>
23
/3
b: x<
13/5
Step-by-step explanation:
A: Step 1: Subtract x from both sides.
4x−15−x>x+8−x
3x−15>8
Step 2: Add 15 to both sides.
3x−15+15>8+15
3x>23
Step 3: Divide both sides by 3.
<u>x>
23/3</u>
B: Step 1: Subtract 7x from both sides.
2x+13−7x>7x−7x
−5x+13>0
Step 2: Subtract 13 from both sides.
−5x+13−13>0−13
−5x>−13
Step 3: Divide both sides by -5.
Answer: x<
13/5
<span>y=4x−1;y=2x−5
Step: Solve y=4x−1 for y:
Step: Substitute 4x−1 for y in y=2x−5:
y=2x−5
4x−1=2x−5
4x−1+−2x=2x−5+−2x(Add -2x to both sides)
2x−1=−5
2x−1+1=−5+1(Add 1 to both sides)
2x=−4
2x/2=−4/2(Divide both sides by 2)
x=−2
Step: Substitute−2 for x in y=4x−1:
y=4x−1
y=(4)(−2)−1
y=−9(Simplify both sides of the equation)
<u>Answer:</u>y=−9 and x=−2</span>
Temperature on Sunday = -15℃
The temperature on monday was 12 degrees less than the temperature on sunday
Temperature on Monday = -15℃ - 12℃ = -27℃
Temperature on Monday is -27℃.
Answer:
We conclude that:

Please also check the attached graph.
Step-by-step explanation:
Given
Given the function

To determine
What is the domain of the function y=-720t + 3600
We know that the domain of the function is the set of input argument values for which the function is real and defined.
Given the function

From the given function, it is clear that the function has no undefined points nor domain constraints.
Therefore, the domain of the function is

Thus, we conclude that:

Please also check the attached graph.
Answer:
Step-by-step explanation:
The given information can be tabulated as follows.
Success type High Moderate Low Total
0.40 0.35 0.25 1
Good reviews 0.95 0.60 0.10
Combined prob 0.4*0.95 0.35*0.6 0.25*0.1
0.38 0.21 0.025 0.6125
A) the probability that a product attains a good review
=Prob it it successful and gets good review + Prob it is moderate successful and gets good review +Prob it it low successful and gets good review
= 0.6125
B) If a new design attains a good review, the probability that it will be a highly successful product= 
C) Prob that does not attain a good review =(0.40*0.05)+0.35(0.4) +(0.25)*0.9
= 0.385
Prob for successful not getting good review = 0.40(0.05) = 0.02
Reqd prob = 