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3 years ago

Write an equation in standard form for the line that passes through (-1,-2) and (3.0)

Mathematics

1 answer:

Agata [3.3K]3 years ago

3 0

Answer:

y+2=1/2(x+1)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-(-2))/(3-(-1))

m=(0+2)/(3+1)

m=2/4

m=1/2

y-y1=m(x-x1)

y-(-2)=1/2(x-(-1))

y+2=1/2(x+1)

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Camryn practices the trumpet every 1 1 th 11 th 11, start superscript, start text, t, h, end text, end superscript day and the f

victus00 [196]

Answer:

33.

Step-by-step explanation:

Since they are both primes, the least common factor of 11 and 3 is 11 times 3, which is 33. Therefore, Camryn will practice the trumpet and flute on the same day 33 days in the future.

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3 years ago

Maria makes $2,500 per month. What is the maximum amount of rent she can afford?

Gnom [1K]

Answer:

800

Step-by-step explanation:

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3 years ago

Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with m

konstantin123 [22]

Answer:

The required probability is 0.6517

Step-by-step explanation:

Consider the provided information.

North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points.

μ₁ = 130 and σ₁ = 8

Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.

μ₂ = 120 and σ₂ = 10

As both schools have IQ scores which is normally distributed, distribution of this difference will also be normal with a mean of μ₁-μ₂ and standard deviation will be $\sqrt{\sigma_1^2+\sigma_2^2}$

Therefore,

μ = 130-120=10

$\sigma = \sqrt{8^2+10^2}=12.806$

Now determine the probability of North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ:

$z=\frac{\bar x-\mu}{\sigma}$

$z=\frac{5-10}{12.806}\approx-0.39$

Now by using the z table we find the z- score of -0.39 is 0.6517.

Hence, the required probability is 0.6517

6 0

3 years ago

Some of your friends who are coming over for pizza prefer more of the edge crust. Which pizza the circular one or rectangular on

Svetradugi [14.3K]

Answer:

Circular one

Step-by-step explanation:

It really depends on how you cut it, but circles are just one big edge that's curved to meet up with itself.

Also, corners aren't edges and rectangles have corners.

Go with the circle one

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2 years ago

Please help find domain and range

Oxana [17]

<h3>Answer: Choice A</h3>

Domain: x > 4
Range: y > 0

========================================================

Explanation:

We want to avoid having a negative number under the square root. Solving $x-4 \ge 0$ leads to $x \ge 4$

So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.

So in reality, the domain is x > 4.

-------------

The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.

We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression $\frac{3}{\sqrt{x-4}}$ is positive because positive/positive = positive.

Therefore, the range of the given equation is y > 0

-------------

The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).

3 0

3 years ago

Read 2 more answers