Answer:
31.25
Step-by-step explanation:
The general form of a complete square would be (x + a)^2 + b
Given an equation of X^2 + 15X + 25 = 0,
the idea is to reduce it into the form if (X + C)^2
which can be expanded into X^2 + 2XC + C^2
In this case 15 will be our 2C So our c will be 7.5.
Substituting in these numbers,
We have X^2 + 15X + (7.5)^2 = 0
However our original equation has 25 for its C^2, thus
we need to add 31.25 in order to get (7.5)^2
<u>FYI</u>
The final completed form will be (X + 7.5)^2 - 31.25
A, B, D
A: because there are two colour types in a deck of cards, so it’s 1/2 probability of getting a black one.
B: because there a four suits in a deck of cards, so the probability of getting a diamond is 1/4
D: because when calculating compound events we multiply the two probabilities,
so 1/2 x 1/4 = 1/8
3/2/3 - 1/1/4
= 3/8/12 - 1/3/12
= 2/5/12
i am a mathematics teacher. if anything to ask please pm me
If from 0 - 10 there is 1 number ending in 3 (3) we'll aplly the same logic to 500.
Between 0-10 there is 3. Between 10 - 20 there is 13. Between 20-30 there is 23. Between 30-40 there is 33, etc.
If we divide 500 into 10 we get 50:
500 / 10 = 50
That means there are 50 groups of 10 in the number 500. If we know that every 10 numbers has 1 ending in 3, we multiply 1 by 50:
1 x 50 = 50
So, our conclusion is, that there are 50 numbers ending in 3 between 10 and 500.
Hope it helped,
BioTeacher101
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