If it goes through the origin of a graph
9514 1404 393
Answer:
"complete the square" to put in vertex form
Step-by-step explanation:
It may be helpful to consider the square of a binomial:
(x +a)² = x² +2ax +a²
The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...
2a = 1
a = 1/2
That means we can write ...
(x +1/2)² = x² +x +1/4
But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:

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Another way to consider this is ...
x² +bx +c
= x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*
= (x +b/2)² +(c -(b/2)²)
for b=1, c=1, this becomes ...
x² +x +1 = (x +1/2)² +(1 -(1/2)²)
= (x +1/2)² +3/4
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* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).
What number is 35% of 80?
35/80
35 ÷ 80 = <span>0.4375
</span>0.4375 × 100 = <span>43.75
</span><span>43.75%
</span>
43.75% is 35% of 80.
First, find out how much he made in the week total: 24($8.75) = $210
The, find 1.45% of 210: (.0145)(210) = 3.045
*note that 1.45% = .0145*
Round that number to 3.05 and you have your answer
Answer:
$117,351 JMD
Step-by-step explanation:
It is simple. 1 US dollar is 150.45 JMD, so 780 US dollars should be:
780 * 150.45 = 117,351