Answer:
4) Yes
5) Yes
6) Yes
7) No
Step-by-step explanation:
4) When we look at the table in the question, we can see the pattern is comics x 3 = price.
We know the definition of a proportional relationship is when one number is increased, the other is as well. So, it is in a proportional relationship.
5) We do the same thing here, we notice that we can divide the number of bikes by 5 to get the number of trips.
So, this is a proportional relationship.
6) The same reasoning applies to 6, we can see they follow a pattern.
7) All of them can be multiplied by 2, except the last one can't, so this is NOT a proportional relationship.
It would be 3.25555555555555........
hope this helps!!
Answer:
x = 6, 9
Step 1:
To solve this equation, we need to subtract 3 from both sides like this:
Step 2:
We square both sides (multiply using FOIL) to get rid of the radical.
If you did not understand how these were done, here is an example:
(x + 1)(x + 2)
First terms: x * x = <u><em>x^2</em></u>
Outer terms: x * 2 = 2x
Inner terms: 1 * x = x
2x - x = <u><em>x</em></u>
Last terms: 1 * 2 =<em> </em><u><em>2</em></u>
x^2 + x + 2
Step 3:
Solve for x:
9x - 45 = x^2 - 6x + 9
x^2 - 6x + 9 (+45) = 9x - 45 (+45)
x^2 - 6x + 54 (-9x) = 9x (-9x)
x^2 - 15x + 54 = 0
Factor:
(x^2 - 6x) + (- 9x + 54)
x(x - 6) - 9(x - 6)
Factor out (x - 6):
(x - 6)(x - 9) = 0
x - 6 = 0; 6 - 6 = 0
x - 9 = 0; 9 - 9 = 0
Our anwer: x = 6, 9
Answer:
Each Person:
-In tips: $2
-Food Bill: $7.50
Step-by-step explanation:
Let's find the tip amount for each person. $16 for the whole group. Each person will give in $2 for the tips, for a total of $16 in tips.
Now that tips are done, we must subtract the amount of tips from the food bill, to see how much each person pays. $76 - $16 = $60.
Divide 60 by 8 to get.. 60/8= 7.5.
With 7.5 as an answer, we can conclude that each person paid $7.50 for the food bill.
I see you need to select solutions, may I see them to help you out? The description is pretty vague..
Using translation concepts, it is found that the transformations are as follows:
- In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.
- In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In y = -f(x÷2)-5, we have that:
- f(x) is multiplied by -1, hence it was reflected over the x-axis.
- x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.
- 5 is subtracted from f(x), hence the function was shifted 5 units down.
In y = f(-x) + 5, we have that:
- x is multiplied by -1 inside the domain, hence the function was reflected over the y-axis.
- 5 is added to f(x), hence the function was shifted 5 units up.
More can be learned about translation concepts at brainly.com/question/4521517
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