All the possible values of b will be ±22 and ±10. Thus, there are 4 possibilities such that x2 + bx + 21 factors.
We have been the equation as
x2 + bx + 21
Now all the possible factors of 21 are ±1, ±3, ±7 and ±21
We can write the linear factors as (x+)(x+) or (x-)(x-) as the coefficient of x2 is 1 .
The possible linear factors are :
(x + 1)(x + 21) = x2 + 22x + 21
(x + 3)(x + 7) = x2 + 10x +21
(x – 1)(x – 21) = x2 – 22x + 20
(x – 3)(x – 7) = x2 – 10x + 20
Hence all the possible values of b will be ±22 and ±10. There are 4 possibilities.
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Answer:
Multiplication
Step-by-step explanation:
PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
-Since there are parentheses you do that first, so multiplication.
First, you divide 17/9
You will get 1, your remainder as 8.
Using your denominator, your answer will be 1 8/9
Answer:
<h3>40°</h3><h3 />
Step-by-step explanation:
since ΔABC is ≅ to ΔEDC
where ∠A = 40°
∠E = 40° because ∠A ≅ ∠E
Answer:
Step-by-step explanation:
Given
Proportion = 55%
Required
Probability that at least one out of 7 selected finds a job
Let the proportion of students that finds job be represented with p
Convert to decimal
Let the proportion of students that do not find job be represented with q
Such that;
Make q the subject of formula
In probability; opposite probabilities add up to 1;
In this case;
Probability of none getting a job + Probability of at least 1 getting a job = 1
Represent Probability of none getting a job with P(none)
Represent Probability of at least 1 getting a job with P(At least 1)
So;
Solving for the probability of none getting a job using binomial expansion
Where and n = 7; i.e. total number of graduates
For none to get a job, means 0 graduate got a job;
So, we set r to 0 (r = 0)
The probability becomes
Substitute 7 for n
Substitute and
Recall that
Substitute
Make P(At least 1) the subject of formula
<em>(Approximated)</em>