Randomly select a chip from a bucket containing eight chips, whick are each uniquely labeled with each child's name
Here is the equation:
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You need to get "x" by itself so minus 3 from each side
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Divide 8 by 2
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x=4
So each 4 is equivalent to 4
Lets check:
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So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7
Answer:
THank u so much for the free points
Step-by-step explanation:
Answer:
there's no legal definition of a meteorologist
Step-by-step explanation:
so technically anyone can call themselves one and get away with it
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
