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erica [24]
2 years ago
5

Pls help me on number 2 I will mark brainliest

Mathematics
1 answer:
viktelen [127]2 years ago
7 0

Answer:

A

Step-by-step explanation:

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This is due today i would appreciate it a lot if smn could help me with it :/
Vesnalui [34]

Answer:

Conclusion:

The rate of change of function 1  = 3

The rate of change of function 2 = 5/3

  • Hence, function 1 has a greater rate of change

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

  • Hence, function 2 has a greater initial value.

Step-by-step explanation:

Function 1)

Determining rate of change for function 1:

x        1         2         3         4

y       5        8          11        14

Finding the rate of change or slope using the formula

Rate of change = m = [y₂-y₁] / [x₂-x₁]

Taking any two points, let say (1, 5) and (2, 8)

Rate of change = m = [8-5] / [2-1]

                                 = 3/1

                                  = 3

Therefor, the rate of change of function 1 = m = 3

using point-slope form to determine the function equation

y-y₁ = m (x-x₁)

where m is the rate of change or slope

substititng m = 3 and the point (1, 5)

y - 5 = 3(x - 1)

y - 5 = 3x-3

y = 3x-3+5

y = 3x + 2

Thus, equation of function 1 will be:

y = 3x + 2

Determining Initial Value for Function 1:

substituting x = 0 in the equation to determine the initial value

y = 3(0)+2

y = 0+2

y = 2

Therefore, the initial Value of function 1 will be: y = 2

Function 2)

Determining the rate of change for function 2:

Given the function 2

y\:=\:\frac{5}{3}x+3

comparing with the slope-intercept form of a linear function

y = mx+b     where m is the rate of change

so the rate of change of function 2 = m = 5/3

Determining Initial Value for Function 2:

substituting x = 0 in the equation to determine the initial value

y\:=\:\frac{5}{3}x+3

y\:=\:\frac{5}{3}\left(0\right)+3

y = 0+3

y = 3

Therefore, the initial Value of function 2 will be: y = 3

Conclusion:

The rate of change of function 1  = 3

The rate of change of function 2 = 5/3

  • Hence, function 1 has a greater rate of change

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

  • Hence, function 2 has a greater initial value.

8 0
2 years ago
100pts help with math study guide?
OleMash [197]
C=90°

Since the triangles are similar, the angles will be the same. A corresponds with D and equals 75° and B corresponds with E and equals 15°, so C and F must be 90°, since the angles in a triangle add up to 180°.

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Could someone pls help me and explain this if you know it!!
yanalaym [24]

Answer:

25% on question one

Step-by-step explanation:

For example, on question one, 5 students drink more than half a dozen sodas a week. If there is a total of 20 students you'd divide 5 by 20 and that should be the answer.

8 0
3 years ago
The sum of q and 5 whoever answers this please explain and answer
jok3333 [9.3K]

Answer:

It will be "q+5"

Step-by-step explanation:

When you add a number and a letter you just leave them like that. If you would to have a number multiplying a letter like "5q" and something else like "3q" when you add them together you will get "5q+3q=8q" In this case you can add them together because the number is multiplying the letter.

7 0
3 years ago
Solve for x.<br> (7x - 1)•<br> (6x - 1)•
leonid [27]

Answer:

42x^2 - 7x - 6x + 1

42x^2 - 13x + 1 for FOIL method

To solve for x

7x - 1 = 0

7x = 1

x = 1/7

6x - 1 = 0

6x = 1

x = 1/6

Step-by-step explanation:

4 0
3 years ago
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