Question is not well presented
The parabola y=x² is scaled vertically by a factor of 1/10.
What is the equation of the new parabola?
Answer:
The equation of the new parabola is 0.1x²
Step-by-step explanation:
Given
Parabola: y = x²
Scale = 1/10 = 0.1
The interpretation of this question is that; there's a need to scale the graph in ratio 1:10.
I.e; 1 unit on the parabola is being represented by 10 unit on the scale
So, x (on the new parabola) = 1/10 of old x.
So, the new equation of the parabola = 1/10x²
New equation = 0.1x²
Hence, the equation of the new parabola is calculated as 0.1x²
Answer:
graph 2
Step-by-step explanation:
It is partially written in Slope-Intercept Form [<em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em>]. That 2 tells you to move up two units.
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Answer:
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Step-by-step explanation:
45 adult tickets and 80 children tickets were sold
<em><u>Solution:</u></em>
Let "a" be the number of adult tickets sold
Let "c" be the number of children tickets sold
Cost of 1 adult ticket = $ 6
Cost of 1 children ticket = $ 3.50
<em><u>They sold a total of 125 tickets</u></em>
Therefore,
a + c = 125
c = 125 - a --------- eqn 1
<em><u>They made a total of $550. Therefore, frame a equation as:</u></em>
number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = 550
6a + 3.50c = 550 ----------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
6a + 3.50(125 - a) = 550
6a + 437.5 - 3.50a = 550
2.5a = 112.5
<h3>a = 45</h3>
<em><u>Substitute a = 45 in eqn 1</u></em>
c = 125 - 45
<h3>c = 80</h3>
Thus 45 adult tickets and 80 children tickets were sold