Answer:
x < 29
Step-by-step explanation:
8(x−4)<7x−3; distribute 8 in the parenthesis
8x - 32 < 7x - 3; subtract 7x from both sides
x - 32 < -3; add 32 to both sides
x < 29
Answer:
D
Step-by-step explanation:
According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.
<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>
<em />
<em>For A:</em>

For B:

For C:

For D:

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.
Step-by-step explanation:
4x^2 - 20 = 5
4x^2 -25 = 0
4x^2 = 25
2x = 5, or -5
x = 5/2 , or -5/2
Answer:
B
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Given
sin(3x + 19) = cos(5x - 25), then
3x + 19 = 90 - (5x - 25)
3x + 19 = 90 - 5x + 25
3x + 19 = 115 - 5x ( add 5x to both sides )
8x + 19 = 115 ( subtract 19 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12 → B