Answer:
The correct answer is B
Step-by-step explanation:
First, the question said that the shoes were $15 less than double the price of his pants. In algebra 2p would mean 2 multiplied by p so we know that C and D are wrong. Now $15 less than 2p would mean you have to subtract by 15, so now we have 2p-15. Since we haven't added in the amount of money the pair of pants cost, we have to use addition to add it in, and that adds to the equation making the equation 2p - 15 + p. So, the answer is B.
Answer: 5, 8
<u>Step-by-step explanation:</u>
The difference between 3 times a number and -8 is BETWEEN 23 and 32
Note: "difference" means subtraction --> 3x - (-8) --> 3x + 8
23 < 3x + 8 < 32
15 < 3x < 24 <em> subtracted 8 from all 3 sides</em>
--> 5 < x < 8 <em>divided 3 from all 3 sides</em>
Answer:
f
(
x
)
=
3
x
3
−
5
x
2
−
47
x
−
15
Explanation:
If the zero is c, the factor is (x-c).
So for zeros of
−
3
,
−
1
3
,
5
, the factors are
(
x
+
3
)
(
x
+
1
3
)
(
x
−
5
)
Let's take a look at the factor
(
x
+
1
3
)
. Using the factor in this form will not result in integer coefficients because
1
3
is not an integer.
Move the
3
in front of the x and leave the
1
in place:
(
3
x
+
1
)
.
When set equal to zero and solved, both
(
x
+
1
3
)
=
0
and
(
3
x
+
1
)
=
0
result in
x
=
−
1
3
.
f
(
x
)
=
(
x
+
3
)
(
3
x
+
1
)
(
x
−
5
)
Multiply the first two factors.
f
(
x
)
=
(
3
x
2
+
10
x
+
3
)
(
x
−
5
)
Multiply/distribute again.
f
(
x
)
=
3
x
3
+
10
x
2
+
3
x
−
15
x
2
−
50
x
−
15
Combine like terms.
f
(
x
)
=
3
x
3
−
5
x
2
−
47
x
−
15
Answer:
they are not parallel
Step-by-step explanation:
they intersect eachother
