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3 years ago

Write an equation for each line that contains the given pair of points. (-6,1) (2,3)

Mathematics

1 answer:

Travka [436]3 years ago

4 0

Answer:

y = .25x + 2.5

Step-by-step explanation:

First find the slope which is m in y = mx + b. y = mx + b is the standard form for a line.

m = (y₂-y₁)/(x₂-x₁)

m = (3-1)/(2+6)

m = 2/8

m = 1/4

Plug that in.

y = 1/4x + b

To find b plug in one of the two points and solve.

3 = 1/4(2) + b

3 = 1/2 + b

3 - 1/2 = 1/2 - 1/2 + b

2.5 = b

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There are 21 groups of 3 in a room. How many people are there. I need an equation

Mars2501 [29]

Y = 3(21)

21 would be x

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3 years ago

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brain and jake left their homes, which are 500 miles apart, and drove straight toward each other. it took 4 hours for the two to

Ket [755]

Let the speed of Brian = X

Brian drove at X miles per hour for 4 hours

Jake drove at X-15 for 4 hours

Set up an equation to get:

4x + 4(x-15) = 500 miles

Simplify:

4x + 4x -60 = 500

8x - 60 = 500

Add 60 to both sides:

8x = 560

Divide both sides by 8:

X = 560/8

X = 70

Brian's speed was x = 70 miles per hour.

Jake's speed was x - 15 = 70-15 = 55 miles per hour.

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2 years ago

In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product,

Vadim26 [7]

Answer: 0.2872

Step-by-step explanation:

Given : In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 260 of these people said they never did so.

i.e. n= 1000 and x= 260

⇒ Sample proportion : $\hat{p}=\dfrac{260}{1000}=0.26$

z-value for 95% confidence interval : $z_c=1.960$

Now, an upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate. :-

$\hat{p}+ z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.26+ (1.96)\sqrt{\dfrac{0.26(1-0.26)}{1000}}$

$=0.26+ (1.96)(0.01387)=0.26+0.0271852=0.2871852\approx0.2872$

∴ An upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate : 0.2872

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3 years ago

Solve for x. x^2 + 4x = 12

tigry1 [53]

Answer:

Step-by-step explanation:

2^2+4(2)=12

4+8=12

So, x=2

Hope this helps.

-Amelia

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2 years ago

Is 290 10 times as much as 2,900

ale4655 [162]

Yes if you were to so 290 times 10 on a calculator or 2,900 divided by 10

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