Answer:
Calculate the slope in the four intervals.
m = (f(b) - f(a)) / (b - a) slope in Intervall [a; b]
m1 = (3 - 0) / (2 - 0) = 1.5
m2 = (11 - 3) / (4 - 2) = 4
m3 = (23 - 3) / (6 - 2) = 5
m4 = (23 - 11) / (6 - 4) = 6
between x = 4 and x = 6 is the correct answer.
Answer:
By making ‘a’ the subject, I believe you mean isolate the variable ‘a’.
1/a - 1/b = 1/c : add 1/b to both sides
1/a = 1/b + 1/c : combine the unlike fractions by finding a common denominator, bc is the common denominator
1/a = (1/b)(c/c) + (1/c)(b/b) : simplify
1/a = (c/bc) + (b/bc) : add numerators only, because the denominators match
1/a = (c + b)/bc : multiply both sides by a
1 = (a)[(c + b)/bc] : multiply both sides by the reciprocal of [(c + b)/bc] which is [bc/(b + c)]
1[bc/(b + c)] = a
a = bc/(b + c)
This will not work if c = -b, because then you would be dividing by zero.
Example: 1/2 - 1/3 = 1/6 a = 2, b = 3 c= 6
a = bc/(b + c) => 2 = (3 x 6)/(3 + 6) => 2 = 18/9 => 2 = 2.
Step-by-step explanation:
Answer:
What is the GCF of 36 and 84?
Find the prime factorization of 36.
Find the prime factorization of 84. 84 = 2 × 2 × 3 × 7.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.
GCF = 12.
The common factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. We can get all the factors using the prime factorization method.
Step-by-step explanation:
Answer:
1987.2
Step-by-step explanation:
We can write a proportion to find the total amount in the choir using the information given. A proportion is two equivalent ratios set equal to each other. Since we know the strength of students increased by 8% to 2160 then the original was 92%.
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
92(2160)=100(y)
198720=100y
y=1987.2
There are 1987.2 as the original strength of students.
Answer:A Mean
Step-by-step explanation:
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