Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
__
<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
__
<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
__
And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
Answer:
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Step-by-step explanation:
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Substitute the value of the variable into the equation and simplify.
Bubble 2.
<span>Martian table is believed to be the most important tool used
by chemists. On this table, it was found out that the properties of the
elements differ. It was Dmitri Mendeleev
and Henry Moseley who arranged the first periodic table and later arranged in
another manner, respectively. Dmitri arranged the elements according to the
atomic mass in which way, all same elements are grouped together. The latter,
Moseley, arranged the elements according to the increasing number of atoms. </span>
Given:
The price of shoes after discount = 27
Discount % = 40%
To find:
The original price of shoes before discount.
Solution:
Let x be the original price of shoes before discount.
The price of shoes after 40% discount is



The price of shoes after discount = 27



Therefore, the original price of the shoes is 45.