math review

10x^-3y

20x3y4 ÷ 2x6y3

4/5

A right triangle has sides A, B, and C, where C is the hypotenuse. Side A has length 18, side B has length 24, and side C has length 30. If θ is the angle between sides A and C, what is the value of sin θ? Enter your answer as a fully simplified fraction.

9

Evaluate x²−2x+6for x=−1

y=sinx/7 + 2

Find the equation of the curve formed by vertically stretching the graph of y = sinx by 2 and then shifting it right by 7 units. Enter a, b, c, and d, where your answer is y = a sin(bx + c) + d

-8x+3

Simplify 2(−3x+1)−(−3x+1)−5x+2 to the form ax+b

X1=2 X2=6

find the two roots of X1 and X2: x² −8x+12=0

-x²+4x+3

simplify (3x²+2x-3) - (4x²-2x-6)

10x+10

simplify 4(3x+1) - (2x-6)

-13/10

solve for x: 2(x − 3) = 1 − 4(2x + 5)

-1/8

solve for x: 3x+2 = 1−5x

1/4

solve for x: 5x+2=-3x+4

X=logˇ7 2-6

solve for x: 7^x+6 = 2 Enter a, b, and c, where your answer is x = loga b+c

x=4 x=7

solve for x: x² -11x=-28

56/11

2/x - 1/4 = 1/7

-3/7

Calculate the slope of the line going through the points (−5, 6) and (2, 3)

45

Compute 31-(-11)-(6-9)

43

Evaluate ln e^43

-4

Find the numerical value of 11-3(21-16)

X+3²-11

Use the method of completing the square to write x2 + 6x − 2 in the form (x + a)2 + b

D

Which of the following is the inverse of f(x) = (x − 10)^3? (a) f−1(x) = (x − 10)1/3 (b) f−1(x) = (x + 10)1/3 + 10 (c) f−1(x) = x1/3 − 10 (d) f−1(x) = x1/3 + 10 (e) f−1(x) = x3 + 10

logˇ2 7=X

Write the exponential equation 2^x = 7 in an equivalent logarithm equation. Enter a, b, and c where your answer is logb a = c.

37/33

add the following fractions 2/3 + 5/11

27/125

compute (3/5)^3 in lowest terms

39/50

divide the following fractions 13/5 ÷ 10/3

7

evaluate |-24+17|

-13/20

simplify 1/2 ⋅ -4/5 + -1/3 ⋅ 3/4

x=-1 x=1/2

solve for x: | 4x + 1 | +3 = 6

x=2 x=7

solve x by factoring x² +−9x+14 = 0

-3

If f (x) = −3x + 7, calculate and simplify f(4+h)−f(4)/h