Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
<h3>
Answer: Yes, it is a function</h3>
This is a function because there are no x values that repeat.
If we had repeated x values, then this would mean a certain input x leads to multiple outputs y, and that would not make it a function.
For instance, if we had (2,1) and (2,2) at the same time, then the input x = 2 leads to multiple outputs y = 1 and y = 2 at the same time. A function would not be possible in this example.
A function is only possible if any input x leads to exactly one output y. It is possible for y to repeat itself and still have a function.
The answer for the first box is 90
Why? Because this is from the expression 90x+1500. The 90x means the slope is 90. So each time x goes up by 1, the value of y goes up by 90
----------------------------
The answer to the second box is 1500
If you were to plug in x = 0, then
y = 90x+1500
y = 90*0+1500
y = 1500
So he earns $1500 for selling 0 copies
Answer:
A.
Step-by-step explanation:
If the results are similar (A) should be your answer!
Answer:
1- 51.496yd 2- 39.25ft 3- 163.28cm 4- 53.38mm 5- 50.24in 6-94.2ft 7-18.84yd 8- 207.24m
Step-by-step explanation:
So how you do circumference is you find the diameter and times it by pi.
for 1. you will do 8.2 times 2 for the diameter then times it by pi and get 51.496 yards.
for 2 you would do 12.5 times pi and get 39.25ft
for 3 you would do 26 times 2 which is 52 then multiply it by pi which is 163.28cm
for 4 you do 17 times pi which is 53.38mm
for 5 you do 16 times pi which is 50.24in
for 6 you do 30 times pi which is 94.2ft
for 7 you do 3 times 2 which is 6 then multiply by pi which is 18.84yd
for 8 you do 33 times 2 which is 66 then multiply by pi which is 207.24m.