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3 years ago

Eliza graphed a function representing the arithmetic sequence {−5,5,15,25,35}. She then connected the points to make a line.

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

Well we are adding by 10 for every 1 increase in x. So slope is 10 / 1 = 10. (1. a slope of 10) is an answer.

We want x = 1 to have y = -5 Slope form is y=mx+b. We know m = 10 bec slope is 10. We have the point (1,-5) on the graph so we solve for b by plugging:

-5 = 10(1) + b and this is b = -15. So graph has function y = 10x-15.

b is the y-intercept so (3. a y-intercept at (0,−15)) is an answer.

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Find the roots of the equation below. X^2 - 6 + 9 = 0

masya89 [10]

Answer: no real solution

Step-by-step explanation:

X^2 - 6 + 9 = 0

Step 1: Simplify both sides of the equation.

x^2+3=0.

Step 2: Subtract 3 from both sides.

x^2+3−3=0−3

x^2=−3.

Step 3: Take square root. x=±√−3

answer is No real solutions.

6 0

3 years ago

Can someone help me?

Wittaler [7]

Answer:

8 that is your answer

Step-by-step explanation:

5 0

3 years ago

The area of a square is defined by, A(x) = x 2 - 12x + 36. What is the length of a side of the square?

kumpel [21]

<span>A(x) = x 2 - 12x + 36
</span><span>A(x) = (x -6)^2

answer: length of a side of the square = x - 6</span>

8 0

3 years ago

Read 2 more answers

Please answer i need help quick

Serjik [45]

Answer:

(-2, 6)

Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

X = | -4 - 12 | = | -16 | = 16

Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

Now add those calculated offsets to point A.

A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.

The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.

So the coordinates for C is (-2, 6)

8 0

3 years ago

Last year, Deshaun had $20,000 to invest. He invested some of it in an account that paid 9% simple interest per year, and he inv

dezoksy [38]

Answer:

the amount Deshaun invested in an account that paid 9% interest = $9,000

the amount Deshaun invested in an account that paid 5% interest = $11,000

Step-by-step explanation:

Let x = the amount Deshaun invested in an account that paid 9% interest

Let y = the amount Deshaun invested in an account that paid 5% interest.

Thus;

x + y = 20,000 - - - - (eq 1)

Now, After one year, he received a total of $1440 in interest. Thus;

0.09x + 0.05y = 1440

Multiply each term by 100 to give;

9x + 5y = 144000 ---- (eq 2)

Making x the subject in equation 1,we have;

x = 20,000 - y

Putting 20,000 - y for x in eq 2,we have;

9(20,000 - y) + 5y = 1440

180000 - 9y + 5y = 144000

180000 - 4y = 144000

180000 - 144000 = 4y

36000 = 4y

Divide both sides by 4 to give;

y = 36000/4

y = $9,000

x = 20,000 - 9000

x = $11,000

7 0

3 years ago