Question 73961This question is from textbook Beginning Algebra
: Please help! I have tried to figure out the following problems for the past few days, but cannot understand. This subject is foreign to me. Whatever assistance you can provide, will be greatly appreciated. Also, can you please provide a step by step explanation so I can better understand the solution? Thanks.
Simplify:
a. 5x + 2y / 35x + 14y b. x^2 -5x -14 / 2x^2 - x - 10
Multiply:
c. x^2 - x - 20 / x^2 - 3x - 10 . x^2 + 7x + 10 / x^2 + 4x - 5
d. 4x^2 - 9 / 4x^2 + 12x + 9
/ (6x - 9)
Perform the operation indicated. Be sure to simplify.
a. 8/7+2x + x+3/2x+7
Find the LCD. Do not combine fractions.
a. 12/5a^2 , 9/ a^3 b. 13/x^2 - 16 , 7/x-4
Add:
a. 2/y-1 + 2/y+1
Subtract:
a. 3/x^2 - x - 12 + 2/x^2 + x - 20
Solve and check problems.
a. x - 2/4x = 1/6 b. 3/x + 5 = 3/3x - 2
Solve:
a. 5/12 = x/8
Use a proportion to answer:
a. If a traveler's bags weighed 39 kilograms and 50 kilograms is equivalent to 110 pounds, how many pounds does the bag weigh rounded to the nearest pound?
Find the missing coordinate to complete the ordered-pair solutions to the given linear equivalent.
y = 6x +5 5x-2y = 9
(a) (0,?) (a) (7,?)
(b) (3,?) (b) (?,-7)
Find the slope and the y-intercept.
a. 7x + 3y = 4
Write the equation of the line in slope-intercept form.
a. m = 5, y-intercept (0,-6)
b. The equation of a line is y = 3/5 x - 5
What is the slope of a line parallel to it?
What is the slope of a line perpendicular to it?
a. Find the domain and range of the relation. b. Determine whether the relation is a function.
{ (5.6,8), (5.8,6), (6,5.8), (5,6) }
{ (85,3), (95,11), (110,15), 110,20) }
Given the following functions, find the indicated values.
f(x) = 3 - 5x
(a) f(-1) (b) f(1) (c) f(2)
This question is from textbook Beginning Algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Simplify:
a. 5x + 2y / 35x + 14y
Factor where you can to get:
(5x+2y)/[7(5x+2y)]
Cancel the factor common to numerator and denominator to get:
= 1/7
-------------
b. x^2 -5x -14 / 2x^2 - x - 10
Factor where you can to get:
[(x-7)(x+2)] / [2x^2-5x+4x-10]
= [(x-7)(x+2)] / [x(2x-5)+2(2x-5)]
= [(x-7)(x+2)] / [(2x-5)(x+2)]
Cancel the factor common to numerator and denominator:
=(x-7)(2x-5)
--------------
Multiply:
c. x^2 - x - 20 / x^2 - 3x - 10 . x^2 + 7x + 10 / x^2 + 4x - 5
Factor where you can to get:
[(x-5)(x+4)]/[(x-5)(x+2)]/[[(x+5)(x-1)]
Cancel where you can to get:
= [(x+4)/(x-5)]
=[(x+4)(x+2)]/[(x-5)(x-1)]
---------------------------
d. 4x^2 - 9 / 4x^2 + 12x + 9/ (6x - 9)
= [(2x-3)(2x+3)]/[(2x+3)(2x+3)]/3(2x-3)]
= (2x-3)/(2x+3)/(2(2x-3))/1
Invert the denominator and multiply:
= [(2x-3)/(2x+3)]
= 1/[2(2x+3)]
-----------------------
Perform the operation indicated. Be sure to simplify.
a. 8/7+2x + x+3/2x+7
The denominators are both the same so,
=(x+11)/(2x+7)
-----------------
Find the LCD. Do not combine fractions.
a. [12/5a^2] * [9/ a^3]
LCD = 5a^3
-----------------
b. [13/(x^2-16)]
LCD = (x-4)(x+4)
--------------
That's enough for now.
Please repost the rest of the problems
if you still need help.
---------------------------
Cheers,
Stan H.
Add:
a. 2/y-1 + 2/y+1
Subtract:
a. 3/x^2 - x - 12 + 2/x^2 + x - 20
Solve and check problems.
a. x - 2/4x = 1/6 b. 3/x + 5 = 3/3x - 2
Solve:
a. 5/12 = x/8
Use a proportion to answer:
a. If a traveler's bags weighed 39 kilograms and 50 kilograms is equivalent to 110 pounds, how many pounds does the bag weigh rounded to the nearest pound?
Find the missing coordinate to complete the ordered-pair solutions to the given linear equivalent.
y = 6x +5 5x-2y = 9
(a) (0,?) (a) (7,?)
(b) (3,?) (b) (?,-7)
Find the slope and the y-intercept.
a. 7x + 3y = 4
Write the equation of the line in slope-intercept form.
a. m = 5, y-intercept (0,-6)
b. The equation of a line is y = 3/5 x - 5
What is the slope of a line parallel to it?
What is the slope of a line perpendicular to it?
a. Find the domain and range of the relation. b. Determine whether the relation is a function.
{ (5.6,8), (5.8,6), (6,5.8), (5,6) }
{ (85,3), (95,11), (110,15), 110,20) }
Given the following functions, find the indicated values.
f(x) = 3 - 5x
(a) f(-1) (b) f(1) (c) f(2)
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