Answer:
17.1
Step-by-step explanation:
Answer:
- 4
Step-by-step explanation:
(2*(Rationalize(9.7)-Rationalize(4.8x)))==Rationalize(61.2)-Rationalize(3.4)
Rationalize(18.4)-Rationalize(2.8x)
==Rationalize(57.8)
-Rationalize(2.8x)==Rationalize(57.8)-Rationalize(18.4)
x= 38.4÷-2.8
:x= -4
She's going to use 2/3
of the frosting(6 cups) to decorate cakes. 'of' means multiplication. So we can multiply to figure it out:
So Rita will use 4 cups of frosting to decorate cakes.
Answer:
Each sweater costs $35.
Step-by-step explanation:
First subtract the total price ($160) by the price of the shirt ($20).
160 - 20 = 140
Now were left with $140. Since Katie bought 4 sweaters, divide 140 by 4.
140/4 = 35
This means that each sweater was $35. If you want to make sure this is correct just multiply 35 by 4 and then add the $20. You should end up with $160.
35 x 4 = 140
140 + 20 = 160
Answer:
We should attempt synthetic division to find when
x
3
−
k
x
2
+
2
k
x
−
15
x
−
3
has a remainder of
0
, which would signify that it is a factor of the polynomial.
The synthetic substitution would be set up as:
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
−−−
−−−
−−−
|
0
Treating the synthetic division like any other synthetic division problem, we see that
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
3
−−−−−−−−
−
3
k
+
9
−−−−−−−−
−
3
k
+
27
−−−−−−−−−
1
−
k
+
3
−
k
+
9
|
0
If the remainder equals
0
, then we know that
−
3
k
+
27
+
(
−
15
)
=
0
Solve this to see that
k
=
4
.
Thus,
(
x
−
3
)
is a factor of
x
3
−
4
x
2
+
8
x
−
15
.
