Answer:
Y are you making us do the test question you should have been payin attention in class
Step-by-step explanation:
<h3>
Answer: g(x) = (-2/3)*x^2</h3>
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Work Shown:
f(x) = x^2
g(x) = a*f(x) for some constant 'a' since g(x) is a scaled version of f(x).
The value of 'a' vertically stretches f(x) upward if a > 0
If 'a' is negative, then we have a reflection going on as shown in the diagram.
We want (x,y) = (3,-6) to be on the graph of g(x). This means g(3) = -6
If we plugged x = 3 into f(x), we get
f(x) = x^2
f(3) = 3^2
f(3) = 9
So,
g(x) = a*f(x)
g(3) = a*f(3) ... replace x with 3
g(3) = a*9 ... replace f(3) with 9 since f(3) = 9
-6 = a*9 ... replace g(3) with -6 since g(-3) = -6
9a = -6
a = -6/9
a = -2/3
Therefore, this means
g(x) = a*f(x)
g(x) = (-2/3)*f(x)
g(x) = (-2/3)*x^2
Answer:
by using Pythagoras law
height =√{10²-(26-14)²}=±2√11=+2√11
the area of the trapezoid=1/2 height (side1+side2]
=1/2 ×2√11 (14+26)=132.66unit²
Step-by-step explanation:
greater than 132.66unit² is 160 unit² so answer is 160unit²
Multiply the speed of the train by how many hours it travels:
22.5 miles per hour x 2.5 hours = 56.25 mile.
The train is 60 miles from it's destination, so now you want to subtract the miles it will travel in 2.5 hours from the total distance:
60 miles - 56.25 miles = 3.75 miles away from its destination.
(b)+(b+45)=215
b = # of boys
there are 45 more girls than boys and 215 students total.
minus 45 on both sides leaving you with
(b)+(b)=170
combine like terms leaving you with
2b=170
divide both sides by 2
b=85
there were 85 boys
85+45=130
(the 45 for the # of girls more than boys)
there were 130 girls.
