I need help with my algebra homework ONLY THE EVEN NUMBERS (IN TOTAL 12 QUESTIONS)
show ALL the steps for the answer on a piece of paper.
Given f(x) = x2-x+4, 8(x) = 5x-1, and h(x) = 2×2+x-3, find the following:
1. (g. h)(x)
2. (h – (x)
3. +8)(-1)
Factor.
4. x3 + 16x – 2×2 – 32
5. x3 – 8y3
6. x4-81
7. 25×2,2 – 40xy + 16
8. 16x3y + 12x2y2 – 18xy}
Solve
9. 6×2 + 24x = 0
10. (2x + 1)(3x + 2) = 12
11.(2x + 1)2 = 23x + 6
12. Find a quadratic equation with integer coefficients given the solutions (Ż. – 3}
13. Given f(x) = 5×2 – x +4, simplify (x+h)-5(x), where h +0.
h
Simplify and state the restrictions.
16×2-1
4×2 – 33x + 8
x2 – 10x + 16 x
2 – 4x + 4
14.
x-1
1
2(x + 11)
x2 – 8x +7
15.
1
Assume all variable expressions in the denominator are nonzero and simplify.
+
1
1
16.
9
2
y2
Solve.
17.
2
6x – 5
3x + 2
x+1
1
2x
18
x + 55-
x2-25
19. Find the root of the function defined by f(x)=19-4.
x+3
4y
20. Solve for y: x=
3y-1
Use algebra to solve.
21. The height of an object dropped from a 64-foot building is given by the function
h(t) = – 1672 + 64, where t represents time in seconds after it was dropped.
a. Determine the height of the object at of a second.
b. How long will it take the object to hit the ground?
22. One positive integer is 3 units more than another. When the reciprocal of the larger is subtracted
TER
b. How long will it take the object to hit the ground?
22. One positive integer is 3 units more than another. When the reciprocal of the larger is subtracted
from twice the reciprocal of the smaller, the result is . Find the two positive integers
23. A light airplane can average 126 miles per hour in still air. On a trip, the airplane traveled 222
miles with a tailwind. On the return trip, against a headwind of the same speed, the plane was
only able to travel 156 miles in the same amount of time. What was the speed of the wind?
24. On the production line, it takes John 2 minutes less time than Mark to assemble a watch.
Working together they can assemble 5 watches in 12 minutes. How long does it take John to
assemble a watch working alone?
25. Write an equation that relates x and y, given that y varies inversely with the square of x, where
– – } when x = 3. Use it to find y when x – –
p =
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