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2 years ago

What is the slope of the line that passes through the points listed in the table?

Mathematics

1 answer:

Allisa [31]2 years ago

4 0

Answer:

D. -4

Step-by-step explanation:

the slope formula is

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

(x2,y2) = (4,7)

(x1, y1) = (5,3)

So (7-3)/(4-5) = 4/-1 = -4

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Write a system of equations Nextel has an initial fee of $125 and charges $50 a month. AT&T has an initial fee of $75 and ch

uysha [10]

Answer:

The total costs will be the same at the 5-month

Step-by-step explanation:

The question is

After how many months will the cost be the same?

Let

x ---> the number of months

y ---> the total charge

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Nextel

we have

The slope is equal to

$m=\$50\ per\ month$

The y-intercept is equal to

$b=\$125$

substitute

$y=50x+125$ ---> equation A

AT&T

we have

The slope is equal to

$m=\$60\ per\ month$

The y-intercept is equal to

$b=\$75$

substitute

$y=60x+75$ ---> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (5,375)

see the attached figure

therefore

The total costs will be the same at the 5-month

Prior to 5 months, Nextel is more expensive.

After 5 months, AT&T is more expensive

8 0

2 years ago

How many kilometers in 2 pounds

vlabodo [156]

Answer:

It is easy to identify a main idea that is directly expressed in the text. Main ideas are often found: at the beginning of paragraphs. The first sentence often

5 0

1 year ago

Helppppp what is 5x 89

Effectus [21]

Answer:

The answer should be 445. Unless the "x" is a variable, then its 445x.

3 0

3 years ago

The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing

Anna71 [15]

9514 1404 393

Answer:

1250 square feet

Step-by-step explanation:

If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:

A = x(2)(50-x)

We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.

Then the maximum area is ...

A = (25)(2)(50 -25) = 1250 . . . . square feet

_____

Additional comment

Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.

Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)

8 0

2 years ago

What is the answer ‍⬛ -1 1/5 + (-3/5)

Luda [366]

Answer:

-9/5

Step-by-step explanation:

I am pretty sure this is it and hope it helps

4 0

2 years ago