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Answer: h(x) = 2x^2-2</h3>
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Explanation:
We shift the graph of g upward by 3 units. This means we add 3 onto g(x) like so
h(x) = g(x)+3
h(x) = (2x^2-5)+3
h(x) = 2x^2-5+3
h(x) = 2x^2-2
All points on g(x) move up by 3 units to get to a point on h(x). For instance, the y intercept (0,-5) on g(x) moves to (0,-2) on h(x).
When we say something like g(x)+3, we effectively mean y+3 to indicate an upward shift of 3 units. Recall that y = g(x) because they are both outputs.
Answer:
-x/4-3=x
Step-by-step explanation:
The value of is 69/4h and value of is 43/4h if the area of trapezoid is 14 square units.
Given that area is equal to 1-2()h and area is 14 square units.
We know that area of trapezoid is equal to (a+b)h/2.
We have to put the given equation equal to 14 to get our first equation.
14=1-2()h
14=1-2h+2h
2h-2h=-13------------1
Now put the value of area in the formula of area of trapezoid.
14=
h+=28-----------------2
Multiply equation 2 by 2 and then subtract 2 from 1
=-13-56
-4=-43
=43/4h
Put the value of in 2 to get the value of .
=69/4h
Hence The value of is 69/4h and value of is 51/4h if the area of trapezoid is 14 square units.
Learn more about trapezoid at brainly.com/question/1463152
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Answer:
0, 1, 1/2
Step-by-step explanation:
First you would have to make them have the same denominators.
The lowest one they share is 24.
What ever you do to the bottom you have to do to the bottom.
1/6, times each by 4.
1 * 4 = 4
6 * 4 = 24
4/24.
Now you have to do the same thnig for 5/8.
But times it by 3, since 8 times 3 is 24.
5 * 3 = 15
8 * 3 = 24
15/24
Now subtract.
15 - 4 = 11/24
the difference is close to one half.
4/24 = 1/6 is close to 0.
15/24 = 5/8 is close to 1.
Answer: Prime factorization of 100 is 2 x 2 x 5 x 5 or 22 x 52
Prime factorization of 76 is 2 x 2 x 19 or 22 x 191
Prime factorization of 50 is 2 x 5 x 5 or 2 x 52
Prime factorization of 48 is 2 x 2 x 2 x 2 x 3 or 24 x 31