4/5x + 4/3 = 2x....there are 2 ways to do this...one with fractions, one without.
with :
4/5x + 4/3 = 2x
4/3 = 2x - 4/5x
4/3 = 10/5x - 4/5x
4/3 = 6/5x
4/3 * 5/6 = x
20/18 = x
10/9 = x
without :
4/5x + 4/3 = 2x....multiply by common denominator of 15
12x + 20 = 30x
20 = 30x - 12x
20 = 18x
20/18 = x
10/9 = x
Answer:
see bottom
Step-by-step explanation:
divide through by 4
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
(x2 - 3x) + (x - 3) = 0
x(x - 3) + 1(x - 3) = 0
(x + 1) (x - 3) = 0
x + 1 = 0 and x - 3 = 0
x = -1 and x = 3
Answer: 3t-8
Step-by-step explanation:
<em>3t-8 is the answer because there are no like terms.</em>
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Answer:
1. Choice B
2. Choice C
3. X=-2
4. Choice A
5. y = 5/2 x + 5
Step-by-step explanation:
1.
the slope is down 3 over 2 m =-3/2
point slope form
y-y1= m (x-x1)
y-y1 = -3/2 (x-x1)
Choice B
2. (-3,-1) (1/2,2)
slope = (y2-y1)/(x2-x1)
m=(2--1)/(1/2--3) = (2+1)/(1/2+3) = 3/(3.5) = multiply top and bottom by 2
m = 6/7
point slope form
y-y1 = m(x-x1)
y--1 = 6/7 (x--3)
y+1 =6/7 (x+3)
multiply by 7
7y+7 = 6(x+3)
7y+7 = 6x+18
subtract 7y from each side
7 = 6x-7y+18
subtract 18 from each side
-11=6x-7y
Choice C
3. x=-2
This is a vertical line, the value of x never changes
4. (-1,2) (1,-4)
slope =(y2-y1)/(x2-x1)
= (-4-2)/(1--1) = -6/(1+1) = -6/2 = -3
point slope form
y-y1 = m(x-x1)
y-2 = -3(x--1)
y-2 = -3(x+1)
y-2 = -3x-3
add 2 to each side
y = -3x-1
Choice A
5. (-2,0) (0,5)
the y intercept is 5
slope is change in y over change in x
slope =(y2-y1)/(x2-x1) = (0-5)/(-2-0) = -5/-2 = 5/2
slope intercept form
y= mx+b
y = 5/2 x + 5
