Answer:
- movie: $1.25
- video game: $5.25
Step-by-step explanation:
Let m and v represent the rental costs of movies and video games, respectively. The two rentals can be described by the equations ...
5m +3v = 22
2m +6v = 34
We notice that the coefficient of v in the second equation is 2 times that in the first equation. This will make it easy to eliminate v as a variable.
Subtracting the second equation from 2 times the first gives ...
2(5m +3v) -(2m +6v) = 2(22) -(34)
8m = 10 . . . . . . . . . . . simplify
m = 10/8 = 1.25 . . . . . divide by the coefficient of m
Using this in the second equation, we can find v:
2(1.25) +6v = 34 . . . . .substitute for m
6v = 31.50 . . . . . . . . . subtract 2.50
v = 5.25 . . . . . . . . . . . divide by the coefficient of v
The rental cost for a movie is $1.25; for a video game it is $5.25.
Answer:
The negative valued x-intercept is (-6, 0)
Step-by-step explanation:
<u>Step 1: Factor</u>
3x^2 + 13x - 30
(3x - 5)(x + 6)
<u>Step 2: Solve for x</u>
3x - 5 + 5 = 0 + 5 and x + 6 - 6 = 0 - 6
3x / 3 = 5 / 3 and x = -6
x = 5/3 and x = -6
Answer: The negative valued x-intercept is (-6, 0)
Answer:
x = 29
Step-by-step explanation:
2x - 38 = 20
2x = 20 + 38
2x = 85
x = 58/2
x = 29
Attach a picture to this question so I know what to look for.