Answer:
<u>f(x) = 50 + 25(x - 1)</u>
Step-by-step explanation:
Let's write an equation to represent the function that will allow Damon to calculate the cost of his video game membership service:
Lifetime membership fee = $ 50
First video game is free
Then any video game purchased after = $ 25.
Let x to represent the total cost of the video game membership service, in consequence we can write the equation this way:
<u>f(x) = 50 + 25(x - 1)</u>
- If x = 1, then f(1) = 50 + 0 = 50
- If x = 2, then f(2) = 50 + 25 = 75
- If x = 5, then f(5) = 50 + 100 = 150
Answer:
2.5 miles, 5 miles, no
Step-by-step explanation:
Answer:
Zhenghao is correct
Step-by-step explanation:
We have that:
(2x+3)(x + 4) = x² + 7x + 12
The only two factors of x² + 7x + 12 different from 1 ,-1 and and itself are (2x+3) and (x + 4)
If Hafsana says that (x + 3) is a factor of x² + 7 + 12, He or she is not correct.
If Zhenghao says that x² + 7x + 12 is divisible by 2x + 3, He or she is correct because (2x + 3) is a factor of x² + 7x + 12
Answer:2.75
Step-by-step explanation:
x
=
−
8
,
−
2
Explanation:
Given:
x
2
+
10
x
+
16
=
0
To complete the square put the two
x
terms on the left and the constant on the right of the equation:
x
2
+
10
x
=
−
16
Complete the square by multiplying the
x
-term by
1
2
:
1
2
⋅
10
=
5
and adding the square of this number to the right side of the equation:
5
2
=
25
(
x
+
5
)
2
=
−
16
+
25
UNDERSTANDING CHECK:
(
x
+
5
)
2
=
x
2
+
10
x
+
25
.
The
+
25
was not in the original equation. If we add
+
25
to one side of the equation, we must add the same amount to the other side of the equation to keep it balanced.
(
x
+
5
)
2
=
9
To solve, square root both sides of the equation:
√
(
x
+
5
)
2
=
±
√
9
x
+
5
=
±
3
x
=
−
5
±
3
x
=
−
5
+
3
=
−
2
,
x
=
−
5
−
3
=
−
8
x
=
−
8
,
−
2
