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3 years ago

The graph represents function 1, and the equation represents function 2:

Mathematics

1 answer:

uranmaximum [27]3 years ago

6 0

Function 1 is the graph of a horizontal line. And the rate of change of a horizontal line is always 0 because there's is no change of y's.

So, rate of change of function 1= 0.

Slope intercept form of a line is y=mx+b where m= rate of change and b= -intercept.

By comparing the given function 2: y= 8x+12 with y=mx+b we will get m= 8.

So, rate of change of function 2= 8

Difference of rate of change of function 2 with 1 = 8-0= 8

So, the rate of change of function 2 is 8 more than the rate of change of function 1.

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Two parallel lines were cut by a transversal. Which of the following

meriva

Answer:

B. a pair of alternate exterior angles with measures of 130° and 50°

Step-by-step explanation:

Alternate exterior angles formed when two parallel lines are cut across by the same transversal line, are said to be congruent.

Therefore, a pair of alternate exterior angles cannot have different angle measures of 130° and 50°. Rather, both alternate exterior angles should be of equal measure of degree.

All other scenarios are possible result except option B: "a pair of alternate exterior angles with measures of 130° and 50°".

7 0

3 years ago

A number less than two

murzikaleks [220]

Answer:

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

Need help with this!!

wariber [46]

Answer:

below

Step-by-step explanation:

1) slope = rise / run

2 coordinates are (-4, 0), (0, 2).

2 - 0 = 2

0 -- 4 = 4

2 / 4 = 1/2 so the slope is 0.5 or ½

2) it crosses the y axis at the average of the origin and 4.

4 + 0 = 4 / 2 = 2 so y intercept is 2.

3) in y= mx + b form

f(x) = ½x + 2, or, f(x) = 0.5x + 2

3 0

2 years ago

a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c

alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

$x+y=28000$

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

$0.07x+0.09y=2200$

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

$(0.07x+0.09y)*100=2200*100\\7x+9y=220000$

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

$y=28000-x$

$7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000$

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0

3 years ago

What is the x-coordinate of point P on the coordinate grid?

grin007 [14]

Answer:

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

5 0

4 years ago