Answer:
Step-by-step explanation:
We can see the lines are parallel
The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)
If f(x) = mx + 2, then g(x) = mx - 3
<u>The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:</u>
- g(x) = f(x) + k
- k = g(x) - f(x)
- k = (mx - 3) - (mx + 2)
- k = -3 - 2
- k = -5
So the answer is k = -5
Step-by-step explanation:
fifth row=19+4=23
sixth row= 23+4=27
Answer:
<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>
<u>Our system of equations:</u>
<u>x + y = 12</u>
<u>7x + 12y = 104</u>
Correct statement and question:
Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.
Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.
Source:
Previous question that can be found at brainly
Step-by-step explanation:
Step 1:
Let x to represent the number of matinee shows Alejandro went to.
Let y to represent the number of evening shows Alejandro went to.
Now, let's write our system of equations:
x + y = 12
7x + 12y = 104
*********************
x = 12 - y
*********************
7 (12 - y) + 12y = 104
84 - 7y + 12y = 104
5y = 104 - 84
5y = 20
y = 20/5
<u>y = 4 ⇒ x = 12 - 4 = 8</u>
<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>
