Answer:
x = -5
x = -12
Step-by-step explanation:
- 7x - 60 = x^2 + 10x
add 7x to both sides
x^2 + 17x = -60
add 60 to both sides
x^2 + 17x + 60 = 0
factorise quadratic
(x + 12) (x + 5) = 0
<em>x = -12</em>
<em>x = -12x = -5</em>
Answer:
81
Step-by-step explanation:
Answer:
#1: x = 3; #2 c = 1/2; #3 = x = 22; #4 is correct (x = -8)
Step-by-step explanation:
for the first equation everything was right until 22x = 66
after
22x = 66
you must divide everything by 22
x = 3
that is for #1
for the second equation you copied down the question wrong
the negative is still there
6c - 8 - 2c = -6
combine 6c and -2c
4c - 8 = -6
the negative remains on the 8
add 8 to both sides
4c = 2
divide 4 to both sides
c = 2/4 or just 1/2
for the third equation you must first combine like terms
-3x + 25 + x + 21 = 2
combine -3x and x & 25 and 21
-3x + x = -2x
25 + 21 = 46
-2x + 46 = 2
then subtract 46 from both sides
-2x = -44
now divide both sides by -2
x = 22
that is your answer
number four should be correct
Answer:
y = 2/3x - 2
Step-by-step explanation:
y-intercept:
Point line crosses the y axis is -2 which is point (0, -2).
slope:
points (-3, -4) and (3, 0)
m = (y₂ - y₁) / (x₂ - x₁)
= (0 - (-4)) / (3 - (-3))
= 4 / 6
= 2/3
Equation of line using your y-intercept and slope from above:
y = mx + b
y = 2/3x - 2
The graph of linear function p(x)=-5x has Slope: −5 and y-intercept: (0,0)
Steps for graphing an equation using the slope and y-intercept:
Find the y-intercept = b of the equation y = mx + b.
Plot the y-intercept. The point will be (0, b).
Find the slope=m of the equation y = mx + b.
Make a single step, using the rise and run from the slope.
Connect those two points with your line.
Therefore , the graph is attached below of p(x)=-5x which has Slope: −5 and y-intercept: (0,0).
Learn more about graphing linear function here
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