All categories

2 years ago

Help please ❤❤❤❤❤❤❤❤

Mathematics

1 answer:

nikitadnepr [17]2 years ago

5 0

The correct answer is A) y - 4 = -2/5(x + 1)

We know this because of the basic form of point slope form, which is shown below.

y - y1 = m(x - x1)

In which the point (x1, y1) is on the graph and m is the slope. When counting the slope, we can see that it is -2/5 based on the fact that for every two spaces the graph travels down, it moves to the right five. This eliminates options C and D and gives us this form to work with.

y - y1 = -2/5(x - x1)

Now we have the point (-1, 4), so we can plug this in to match it with a formula.

y - 4 = -2/5(x - -1)

y - 4 = -2/5(x + 1)

You might be interested in

Which of the following is a point-slope equation of a line that passes through

Helen [10]

A

i need to put 20 characters in here so imma tell you, just use desmos.com. if you type in the equations, it’ll show you the graph

6 0

2 years ago

Y=8x-3/-4x-10 has a vertical asymptote with equation(enter equation of the vertical asymptote

xz_007 [3.2K]

Answer:

x=-2.5 if the function is $f(x)=\frac{8x-3}{-4x-10}$

Step-by-step explanation:

$y=\frac{8x-3}{-4x-10}$ has discontinuities when the denominator is 0.

You will either have a hole or a vertical asymptote depending on what happens to the numerator after you find when the bottom is 0.

That is whatever you found that makes the bottom 0, if it makes the top also 0 then you will have a hole at x=the number that made the bottom 0.

If it makes the top anything other than 0, then it is a vertical asymptote at x=the number you found that made the bottom 0.

Let's do this now.

When is -4x-10 equal to 0?

We have to solve the equation:

-4x-10=0

Add 10 on both sides:

-4x=10

Divide both sides by -4:

x=10/-4

Reduce by dividing top and bottom by 2:

x=5/-2

x=-5/2

x=-2.5 (if you want decimal form)

Now does it make the top 0? This is the deciding factor on whether you have a hole at x=-2.5 or a vertical asymptote at x=-2.5.

Let's see.

8(-2.5)-3=-23

Since the top is not 0 at x=-2.5 then you have a vertical asymptote at x=-2.5.

If the top were 0, then you would have had a hole at x=-2.5.

5 0

2 years ago

Addison is going to invest in an account paying an interest rate of 3.1% compounded continuously. How much would Addison need to

professor190 [17]

Answer: $521

Step-by-step explanation:

7 0

2 years ago

In a sequence, the first term is 8 and the common difference is -2. The 18th term

stepladder [879]

If 8 is the first term, there are 17 terms left to reach the 18th term. So you do -2 x 17 = -34 then do 8 - 34 = -26

7 0

3 years ago

According to the U.S. Census Bureau, the mean of the commute time to work for a resident of Boston, Massachusetts, is 27.3 minut

Bond [772]

Answer:

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

What minimum percentage of commuters in Boston has a commute time within 2 standard deviations of the mean

By the Chebyshev Theorem, at least 75% of commuters in Boston has a commute time within 2 standard deviations of the mean

7 0

2 years ago