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Option A
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Check if slope = 2
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y + 2 = 2(x + 3)
y + 1 = 2x + 6
y = 2x + 6 - 1
y = 2x + 5
Slope = 2
Answer: Yes, Slope is 2
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Check if it passed through (2, 3)
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When x = 2
y = 2(2) + 5
y = 9
Answer: No, it does not passed through (2, 3)
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Option B
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Check if Slope is 2
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y - 3 = 2(x - 2)
y - 3 = 2x - 4
y = 2x - 4 + 3
y = 2x - 1
Slope = 2
Ans : Yes, slope is 2.
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Check if it passed through (2, 3)
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when x = 2
y = 2(2) - 1
y = 4 - 1
y = 3
Answer : Yes, it passed through (2, 3)
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Answer: (B) <span>y – 3 = 2(x – 2)
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Given:
Pool swimming Ocean swimming Total
Age 30 and younger 228 54 282
Over 30 years old 142 185 327
total 370 239 609
Frequencies:
Pool swimming Ocean swimming Total
Age 30 and younger 228/609 = 0.37 54/609 = 0.09 282/609 = 0.46
Over 30 years old 142/609 = 0.23 185/609 = 0.30 327/609 = 0.54
<span>total 370/609 = 0.61 239/609 = 0.39 609/609 = 1.00</span>
<span>The relative frequency (rounded to the nearest hundredth) of a person over 30 years old who prefers to swim in the ocean is 0.30</span>
30 students could of been taking both courses and 60 with no course
The answer is B. You didn't mention compounding, so I have to assume that this is simple interest. The formula for simple interest is
<span>Interest = principal * interest rate expressed as a decimal * time in years. </span>
<span>$126 = $450 * X * 7. Now multiply $450 * 7 years = $3,150 </span>
<span>$126 = 3,150X </span>
<span>What has been done to the X? It was multiplied by $3,150. What is the opposite of multiplication? It is division. Remember that whatever we do to one side of the equal sign we must also do to the other side of the equal sign. </span>
<span>$126 = $3,150X </span>
<span>-------____---------- </span>
<span>$3,150__$3,150 </span>
<span>Any number over itself = 1. Now we have </span>
<span>.04 = X </span>
<span>To change a decimal to a percent move the decimal place two places to the right and add a percent sign. </span>
<span>.04 = 4$. The answer is B</span>
Answer:
A) Neither function A nor function B has an x-intercept.
Step-by-step explanation:
