Factor 2x2 - 10x + 8 completely.
1 answer:
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Answer:
Step-by-step explanation:
7x-26<-5(2-3x)
first write out the equation
7x-26<-10 +15x
then solve the -5(2-3x)
by multiplying -5 by 2 and -5 by 3x which will give the answer -10 and 15x
7x-15x<-10+26
Now put the numbers with X first and since we moved the (+15x) into the otherside we change its sign to (-15x)
and because we put the (-26) into the otherside we do the same thing and change it into (+26)
-8x<16
Now we combine the same numbers so 7x-15x and -10+26
Next we divide both sides by (-8)
so (-8x÷-8) and (16÷-8)
and because we divided with a negative number (-8)
and we have an inequality( < ) we flip the sign from smaller than to greater than.
and so the final answer is x>2
or x is greater than 2
Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
