$15. 7x^{4} - 5x^{4} = 2x^{4} \\17. 6b + 7b - 10 = 13b - 10\\19. y + 4 + 3 ( y + 2 ) = y + 4 + 3y + 6 = 4y + 10\\21. 3y^{2} + 3 ( 4y^{2} - 2 ) = 3y^{2} + 12y^{2} - 6 = 15y^{2} - 6\\23. 0.5 ( x^{4} - 3 ) + 12 = 0.5x^{4} - 1.5 + 12 = 0.5x^{4} + 10.5$

8 0

3 years ago

Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

jeyben [28]

f(0) = 2(3)(0) = 0 ⇒ (0, 0)

f(1) = 2(3)(1) = 6 ⇒ (1, 6)

<u>rate of change from x = 0 to x = 1</u>

$\frac{y2 - y1}{x2 - x1}$ = $\frac{6 - 0}{1 - 0}$ = $\frac{6}{1}$ = 6

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f(2) = 2(3)(2) = 12 ⇒ (2, 12)

f(3) = 2(3)(3) = 18 ⇒ (3, 18)

<u>rate of change from x = 2 to x = 3</u>

$\frac{y2 - y1}{x2 - x1}$ = $\frac{18 - 12}{3 - 2}$ = $\frac{6}{1}$ = 6

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Since it is the same line, they will have the same slope (aka rate of change).

5 0

4 years ago

Two third of a number is 30. find the number

liraira [26]

Answer:

The number is 45

Step-by-step explanation:

Let number = x

2/3 x = 30

x = 30/2/3

x = 30×3/2

x = 90/2 = 45

The number is 45

2/3 ×45= 90/3 = 30

7 0

3 years ago