Answer:
a
x
2
+
b
x
+
c
=
0
the two roots of the equation take the form
x
1
,
2
=
−
b
±
√
b
2
−
4
a
c
2
a
So, start by adding
−
5
to both sides of the equation to get
2
x
2
+
x
−
5
=
5
−
5
2
x
2
+
x
−
5
=
0
Notice that you have
a
=
2
,
b
=
1
, and
c
=
−
5
. This means that the two solutions will be
x
1
,
2
=
−
1
±
√
1
2
−
4
⋅
2
⋅
(
−
5
)
2
⋅
2
x
1
,
2
=
−
1
±
√
41
4
You can simplify this if you want to get
x
1
=
−
1
+
√
41
4
≅
1.35078
and
x
2
=
−
1
−
√
41
4
≅
−
1.85078
I think he bought 14 chicken wings, if I need to explain then I will.
Answer:
14/45
Step-by-step explanation:
So we have the fraction:
We can do this algebraically. Follow to following steps:
Let's let this number equal to n. Thus:
Since there is only 1 digit repeating, let's multiply everything by 10. So:
Now, subtract n from both sides:
On the left, substitute the number for n. On the right, combine like terms:
All of the 1s will cancel. So:
Subtract:
Divide both sides by 9:
Remove the decimal by multiplying both sides by 10:
Reduce:
And we're done!
Use a calculator to check:
Answer:
12 girls
Step-by-step explanation:
16 divided by 4 is 4
Since the ratio is 4:3, that means that for every 4 boys, there are three girls.
3 x 4 is 12
Your answer is 12 girls.
Just general definitons:
a TRInomial has 3 terms (tri means three)
a BInomial has 2 terms (bi means two)
a MONOmial has 1 term (mono means one)
the degree is the highest exponent found in the algebraic expression
so they should be pretty easy to solve with that information, but just in case:
1. trinomial, degree of 4
2. binomial, degree of 3
3. monomial, degree of 2
for the final question, all you have to do is plug in 2 for x, so
(2)^2 - 2(2) + 1
4 - 4 + 1
so the answer is 1
