Answer:
-2
Step-by-step explanation:
y = mx + b
m = slope
Therefore m = -2
<h3>35 hot dogs and 52 sodas were sold</h3>
<em><u>Solution:</u></em>
Let "x" be the number of hot dogs sold
Let "y" be the number of sodas sold
Each hot dog costs $1.50 and each soda costs $0.50
<em><u>You sold a total of 87 hot dogs and sodas combined</u></em>
Therefore,
x + y = 87
y = 87 - x -------- eqn 1
<em><u>At the end of the night you made a total of $78.50</u></em>
Therefore,
1.50x + 0.50y = 78.50 ------ eqn 2
Substitute eqn 1 in eqn 2
1.5x + 0.5(87 - x) = 78.5
1.5x + 43.5 - 0.5x = 78.5
x = 78.5 - 43.5
x = 35
Substitute x = 35 in eqn 1
y = 87 - 35
y = 52
Thus 35 hot dogs and 52 sodas were sold
1320 ways
This can be solved using something called permutation. There are 12 possible swimmers that can be in first place. After that, 11 swimmers left to be in second place. Finally there are 10 swimmers left for third place. Multiply these together you get 12•11•10=1320. Hope this helps!!
The ordered pair (-3 , ) is on g(x) ⇒ 1st answer
Step-by-step explanation:
Let us revise the reflection across the axes
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)
∵
∵ f(x) is reflected across the y-axis to create the function g(x)
- Change the sign of x
∴
To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it
∵ The coordinates of the point are (-3 , )
∴ x = -3 and y =
- Substitute x by -3 in g(x)
∵
∴
∴
∵
∴
∴
- Divide up and down by 2
∴
∵ The value of g(x) equal to the y-coordinate of the point
∴ The point (-3 , ) lies on g(x)
The ordered pair (-3 , ) is on g(x)
Learn more:
You can learn more about the reflection in brainly.com/question/5017530
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