Answer:
( 2x - 3 ) / 5
Step-by-step explanation:
2x - 6 = 5y - 3
2x - 6 + 3 = 5y
2x - 3 = 5y
y = ( 2x - 3 ) / 5
The answer to question 5 is D.5 and the answer to question 9 is (-2,-6)
The value of c is 233.3
Step-by-step explanation:
Given equation is:
To find the value of c, we have to isolate c on one side of the equation
So,
Adding 250 on both sides
Multiplying by 20 on both sides
Dividing both sides by 18
Rounding off to the nearest one decimal place
c=233.3
The value of c is 233.3
Keywords: Linear Equation, Solution of linear equation
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Answer:
123
Step-by-step explanation:
s=-2
-15s^2-9(-5+s)
=-15s^2+45-9s
=-15s^2-9s+45
=15(-2)^2-9×(-2)+45
=15×4+18+45
=60+18+45
=123
For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.
For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.
