Answer:
x
=
6
,
−
5
Step-by-step explanation:
Move x
to the left side of the equation by subtracting it from both sides. x^
2
−
30
−
x
=
0
x2-30-x=0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)/
2
a
-b±b2-4(ac)/2a
Substitute the values
a
=
1 , b
=
−
1 , and c
=
−
30
into the quadratic formula and solve for x
x
.
1
±
√
(
−
1
)
2
−
4
⋅
(
1
⋅
−
30
)/
2
⋅
1
Simplify.
x
=
1
±
11/
2
The final answer is the combination of both solutions.
x
=
6
,
−
5
Answer:
step 3: he should have divided both sides by -7
There were 296 kids started at the beginning of the year
Answer:
y=-3/2x+13
Step-by-step explanation:
Convert to slope-intercept form (y=mx+b):
-3x+2y=10
-3x-10+2y=0
-3x-10=-2y
-3/2x-5=y
y=-3/2x-5
Parallel lines have the same slope, so the slope of the equation will be m₁=m₂ where -3/2=-3/2
Solving for b, the y-intercept, we get:
y=-3/2x+b (Equation so far)
7=-3/2(4)+b [Plugging in (4,7)]
7=-12/2+b
7=-6+b
13=b
Therefore, the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (4,7) is y=-3/2x+13
