Answer:
6
y
+
3
=
−
4
y
2
Move
4
y
2
to the left side of the equation by adding it to both sides.
6
y
+
3
+
4
y
2
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
6
, and
c
=
3
into the quadratic formula and solve for
y
.
−
6
±
√
6
2
−
4
⋅
(
4
⋅
3
)
2
⋅
4
Simplify.
Tap for more steps...
y
=
−
3
±
i
√
3
4
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
We can set up a proportion using fractions.
Now, let's cross multiply by multiplying 12 and 28 then dividing by 4.
Hope this helped!
-3x + 10 = 34
Subtract 10 from both sides:
-3x = 24
Divide both sides by -3:
X = 24 / -3
X = -8
musiclover10045
Middle School Mathematics 39+20 pts
I have two questions to solve
-3x+10=34
13x-4=11x+10-8
Combine like terms on the right side:
13x -4 = 11x + 2
Subtract 11x from both sides:
2x -4 = 2
Add 4 to both sides:
2x = 6
Divide both sides by 2:
X = 6/2
X = 3
Since it varies directly, divide the number of shots by the number of goals:
48 shots / 4 goals = 12
This tells you they score a goal every 12 shots.
Multiply shots needed by number of goals:
12 x 3 = 36
They need 36 more shots to score 3 more goals.
Answer:
95% Confidence interval: (31.32%,47.04%)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 148
Number of people who sleep for 8 hours or longer, x = 58
95% Confidence interval:
Putting the values, we get:
(31.32%,47.04%) is the required 95% confidence interval.
