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3 years ago

6

Whoever answers this will get brainlyest and 20 points!!

1 answer:

Goryan [66]3 years ago

5 0

Answer:

7, -3/4, -3

Step-by-step explanation:

Note that all three of the given functions are linear. We can read the slopes directly from these functions: 7, -3/4, -3. Between any two values of x, the slope is exactly the same in each of these three functions.

Thus,

1) the average rate of change of f(x) = 7x - 4 over the interval [2,4] is 7.

2) the average rate of change of g(x) over the given interval is -3/4.

3) the average rate of change of h(x) over the given interval is -3.

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grin007 [14]

Answer:

x = -1 , y = -4 , z = -4

Step-by-step explanation:

Solve the following system:

{-x - 5 y + z = 17 | (equation 1)

-5 x - 5 y + 5 z = 5 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Swap equation 1 with equation 2:

{-(5 x) - 5 y + 5 z = 5 | (equation 1)

-x - 5 y + z = 17 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Subtract 1/5 × (equation 1) from equation 2:

{-(5 x) - 5 y + 5 z = 5 | (equation 1)

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 1 by 5:

{-x - y + z = 1 | (equation 1)

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 2 by 4:

{-x - y + z = 1 | (equation 1)

0 x - y+0 z = 4 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Add 2 × (equation 1) to equation 3:

{-x - y + z = 1 | (equation 1)

0 x - y+0 z = 4 | (equation 2)

0 x+3 y - z = -8 | (equation 3)

Swap equation 2 with equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x - y+0 z = 4 | (equation 3)

Add 1/3 × (equation 2) to equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y - z/3 = 4/3 | (equation 3)

Multiply equation 3 by 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y - z = 4 | (equation 3)

Multiply equation 3 by -1:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Add equation 3 to equation 2:

{-x - y + z = 1 | (equation 1)

0 x+3 y+0 z = -12 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Divide equation 2 by 3:

{-x - y + z = 1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Add equation 2 to equation 1:

{-x + 0 y+z = -3 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Subtract equation 3 from equation 1:

{-x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Multiply equation 1 by -1:

{x+0 y+0 z = -1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Collect results:

Answer: {x = -1 , y = -4 , z = -4

8 0

3 years ago

Choose the following which is COMPLETELY correct:

Vlada [557]

Answer:

D

Step-by-step explanation:

Mean = (4+4+5+8+9) / 5

30 / 5

6

Median = put them in order and the one in the middle is the median.

4, 4, <u>5</u>, 8, 9

Mode = the most common

<u>4, 4</u>, 5, 8, 9

5 0

3 years ago

What is the value of y?<br><br> Enter your answer in the box.

Dennis_Churaev [7]

You must know that the sum of interior angles is 180°. We also know that AC and BA are congruent which means angles B and C are also congruent. To find x we can assume 25=5x. Which makes x=5, and angle C=25°.

Then we can add all the angles to find y and A. 25+25+(3y+70)=180. Then solve for y and then solve for angle A.

5 0

4 years ago

Read 2 more answers

In a local shelter, 300 people donated blood during the blood donation week. The samples collected of the different blood types

Anna007 [38]

Answer:

D)24 people

Step-by-step explanation:

Total number of people, x=300

Number of people donated blood with type A, y

$=\frac{28}{100}\times x\\=\frac{28}{100} \times 300\\=84$

Number of people donated blood with type B, z

$=\frac{20}{100}\times x\\=\frac{20}{100} \times 300\\=60$

⇒Number of people with Type A blood donated more than those with Type B blood= y-z=84-60= 24

8 0

3 years ago

Read 2 more answers

<ABD has a measure of 36 degrees. a)find the compliment of the angle b)find the supplement of that angle

victus00 [196]

A) The complement of an angle is the other angle that can be added to the original to add up to 90 degrees. The complement of <ABD would be 90-36=54

b) The supplement of an angle is whatever number can be added to the original to add up to 180 degrees. The supplement of <ABD would be 180-36=144

6 0

3 years ago