Answer:
Step-by-step exExplanation:
Solve:
3
x
2
−
4
x
−
5
=
0
is a quadratic equation in standard form:
a
x
2
+
b
x
+
c
,
where:
a
=
3
,
b
=
−
4
,
c
=
−
5
Quadratic formula
x
=
−
b
±
√
b
2
−
4
a
c
2
a
Plug in the known values.
x
=
−
(
−
4
)
±
√
(
−
4
)
2
−
4
⋅
3
⋅
−
5
2
⋅
3
Simplify.
x
=
4
±
√
76
6
Prime factorize
76
.
x
=
4
±
√
2
2
×
19
6
Apply rule:
√
a
2
=
a
x
=
4
±
2
√
19
6
Simplify.
x
=
2
±
√
19
3
Solutions for
x
.
x
=
2
+
√
19
3
,
2
−
√
19
3
Related questions
How do you know how many solutions
2
x
2
+
5
x
−
7
=
0
has?
What is the Quadratic Formula?
planation:
Answer: 9 associate property 8 commutative property
Step-by-step explanation:
The question that is asked is pretty straight forward. Only thing that needs to be found is the number of 30 in the number 600. By dividing 600 by 30 we can arrive at the desired result.
Number of 30 in 600 = 600/30
= 60/3
= 20
So there are 20 number of 30s in the number 600. This method can be used to find answers to several other similar kind of questions like the number of 10s in 1000.Following the same procedure we get
Number of 10 in 1000 = 1000/10
= 100
Profit = revenue - expenses
expenses : 125,000 + 6.50x
revenue : 9x
so to make a profit, ur revenue (income) has to be higher then ur expenses
revenue > expenses
A. ) 9x > 125,000 + 6.50x
9x - 6.50x > 125,000
2.5x > 125,000
x > 125,000 / 2.5
x > 50,000......so they would have to sell at least 50,001 devices to make a profit <==
B.) the cost of making 1 device is 10% more then the company predicted....10% more then 6.50.....6.50(1.10) = 7.15.....this is the new cost of making 1 device <==
9x > 125,000 + 7.15x ....this is the inequality with the 10% more added
9x - 7.15x > 125,000
1.85x > 125,000
x > 125,000 / 1.85
x > 67,567.5......so to make a profit, they would have to sell at least 67,568 devices to make a profit <==
