Answer:
The answer to your question is x = 6 and y = 9
Step-by-step explanation:
Data
AB = x DF = 18
BC = 5 FE = 15
AC = 3 DE = y
Process
1.- Find y
Use proportions to find it
DE/FE = AC/BC
Substitution
y/15 = 3/5
Solve for y
y = 15(3/5)
y = 45/5
y = 9
2.- Find x
AB/DF = BC/FE
Substitution
x/18 = 5/15
Solve for x
x = 18(5/15)
x = 90/15
x = 6
Answer:
7/80
Step-by-step explanation:
(3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles
P ( green or yellow ) = number of green or yellow / total
= (3+4)/20 = 7/20
Replace
so we have (3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles
P (blue) = number of blue/ total
= 5/20 = 1/4
P ( green or yellow, replace, blue) = 7/20 * 1/4 = 7/80
[Add] 1.
-9h = 30 + 15
[Simplify] 2.
-9h = 45
[Divide] 3.
h = - 45/9 ( A negative Divide)
[Answer] 4.
h = -5
10 hours seems like the most reliable answer because it matches up the best
The function f(x) is vertically compressed to form g(x) while the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)
<h3>How to compare both functions?</h3>
The functions are given as
f(x) =x^2
g(x) =3x^2
h(x) = -3x^2
Substitute f(x) =x^2 in g(x) =3x^2 and h(x) = -3x^2
g(x) =3f(x)
h(x) = -3f(x)
This means that the function f(x) is vertically compressed to form g(x)
Also, the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)
See attachment for the functions g(x) and h(x)
Also, functions f(x) and g(x) have the same domain and range
While functions f(x) and h(x) have the same domain but different range
The complete table is:
x -2 -1 0 1 2
g(x) 12 3 0 3 12
h(x) -12 -3 0 -3 -12
Read more about function transformation at:
brainly.com/question/13810353
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