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cestrela7 [59]
3 years ago
14

The equation AB is y=2x + 4. Write an equation of a line parallel to line AB in slop-intercept form that contains point (3,-2)

Mathematics
1 answer:
FrozenT [24]3 years ago
5 0
A line parallel to y=2x+4 that contains the point (3,-2) is y=2x-8. The line is parallel because it has the same slope as AB, and we can find the intercept by plugging in (3,-2) into slope-intercept form and solving for b.
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SIZIF [17.4K]

So, we are given the y intercept, and since we know c is the same as the y value of the y intercept, we know that c=15.

From there we can pick any two of the points given to us to find our a and b.

Let's use (4,17) and (8,23) becase they are whole numbers.

17=16a+4b+15\\ 23=64a+8b+15 \implies \\ 2=16a+4b\\ 8=64a+8b \implies\\ 8=64+16b \\ 8=64+8b \implies \\ 0=8b \implies\\ b=0

So, with b=0, we can plug it back into the first equation to get:17=16a+4b+15 \implies\\ 2=16a \implies\\ a=\frac{1}{8}

So our quadratic is \frac{1}{8}x^2+15

5 0
3 years ago
Read 2 more answers
Question:
mash [69]

The least common denominator is the Least Common Multiple (LCM) of the divisors 3 and 4. Since these numbers have no common factors, their LCM is

... 3·4 = 12

The least common denominator of your fractions is 12.

... 1/3 = (1/3)·(4/4) = 4/12

... 3/4 = (3/4)·(3/3) = 9/12

3 0
3 years ago
21 ≤ 2x + 3 = <br> How do you work this out? And what is the answer? :)
Igoryamba
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4 0
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the claim that 20% of americans know their credit score is tested. suppose that the sample evidence causes us to fail to reject
kipiarov [429]

Answer:

Conclusion : People ≠ 20% don't know about their credit score.

Step-by-step explanation:

Hypothesis is testing a statement for its statistical significance.

Null Hypothesis (H0)  implies 'no difference from tested value', Alternate hypothesis (H1)  implies 'significant difference from tested value'

Let % of people knowing their credit score = CS

H0 : CS = 20

H1 : CS  ≠  20

If the null hypothesis is rejected, it implies that we reject the claim that CS i.e '% of americans knowing their credit score = 20%'. So, the alternate hypothesis is accepted, i.e we conclude that '% americans knowing their credit score ≠ 20%'.

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3 years ago
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MAVERICK [17]
I think it’s 51.6% because 8.3% interest at the rate of 6 years is just 8.3 multiplied by 6 which is 51.6
7 0
2 years ago
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