It should by the answer but if not sorry
Answer:
(X,Y)
(0,6)
Answer:
Slope (m) = 0
Step-by-step explanation:
We will use this formula to find the slope⤵⤵⤵
(Sorry if it's a bit small btw)
Now we plug in the values accordingly:
-3 - (-3) = -3 + 3 = 0
-19 - (-9) = -19 + 9 = -10
Slope = 0/-10
So we have 0/-10, which means our slope is actually just 0.
(This also means that the line on the graph will be horizontal.)
Hope this helps you :)
Answer:
Jack is 8
Step-by-step explanation:
j= jacks age
2j+5 =21
This is the equation from Twice jacks age plus five is 21
We want to isolate j
Subtract 5 from each side
2j+5 =21
2j+5-5 = 21-5
2j = 16
Divide by 2
2j/2 =16/2
j =8
Answer: 8x^2 -2
Explanation:
Think about it like your pluging in a number for x, like g(1) or g(x+1), but plug in the equation for f(x)
g(f(x))= -(-8x^2 -5) -7
=8x^2 +5 -7
=8x^2 -2
Answer:
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Step-by-step explanation:
Cost of tickets
Adults = $6
Teachers = $4
Students = $2
Total tickets sold = 280
Total revenue = $1010
Let
x = number of adults tickets
y = number of teachers tickets
z = number of students tickets
x + y + z = 280
6x + 4y + 2z = 1010
If the number of adult tickets sold was twice the number of teacher tickets
x = 2y
Substitute x=2y into the equations
x + y + z = 280
6x + 4y + 2z = 1010
2y + y + z = 280
6(2y) + 4y + 2z = 1010
3y + z = 280
12y + 4y + 2z = 1010
3y + z = 280 (1)
16y + 2z = 1010 (2)
Multiply (1) by 2
6y + 2z = 560 (3)
16y + 2z = 1010
Subtract (3) from (2)
16y - 6y = 1010 - 560
10y = 450
Divide both sides by 10
y = 450/10
= 45
y = 45
Substitute y=45 into (1)
3y + z = 280
3(45) + z = 280
135 + z = 280
z = 280 - 135
= 145
z = 145
Substitute the values of y and z into
x + y + z = 280
x + 45 + 145 = 280
x + 190 = 280
x = 280 - 190
= 90
x = 90
Therefore,
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
