Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y = ___
1 answer:
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Answers:
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Given:
Ava graphs the function .
Victor graphs the function
To find y intercept we plug in 0 for x
= 4
So ,Ava’s graph has a y-intercept of 4.
Ava graphs the function
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function
If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.
Remark
If there are 5 distinct zeros that means either that the x axis is crossed the x axis 5 different places or touched the x axis in 1 place out the 5. Touching in one place means that an even number of roots are the same.
So let's go through all of them to get an answer of 5.
A has 4 x intercepts. It is not the right answer. We need 5.
B has 4 x intercepts. It is not the right answer. We need 5.
C has 6 x intercepts. Not the one we want.
D has 5 x distinct zeros. The wording is a bit tricky. It does not matter than one of them just touches the x axis. There could be an even number of distinct zeros there, but it only counts as one root.
An example of such a graph is f(x)=
Answer D <<<<<
If there are 5 distinct zeros that means either that the x axis is crossed the x axis 5 different places or touched the x axis in 1 place out the 5. Touching in one place means that an even number of roots are the same.
So let's go through all of them to get an answer of 5.
A has 4 x intercepts. It is not the right answer. We need 5.
B has 4 x intercepts. It is not the right answer. We need 5.
C has 6 x intercepts. Not the one we want.
D has 5 x distinct zeros. The wording is a bit tricky. It does not matter than one of them just touches the x axis. There could be an even number of distinct zeros there, but it only counts as one root.
An example of such a graph is f(x)=
Answer D <<<<<
Answer:
Stefan originally spent $110.
Stefan made a profit of $44.
Step-by-step explanation:
Given that:
Stefan sold the bike and helmet for $137 and $17
Total amount = 137+17 = $154
This is 140% of the price Stefan originally paid.
Let,
x be the original price paid by Stefan
140% of x = $154
Therefore,
Stefan originally paid $110 for the bicycle and helmet.
Profit made by Stefan = 154-110 = $44
Hence,
Stefan originally spent $110.
Stefan made a profit of $44.