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zhenek [66]
3 years ago
14

Factorize: 9(2a – b)^2 – 4(2a – b)

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0

Answer:

(2 a - b) (18 a - 9 b - 4)

Step-by-step explanation:

Factor the following:

9 (2 a - b)^2 - 4 (2 a - b)

Factor 2 a - b out of 9 (2 a - b)^2 - 4 (2 a - b):

(2 a - b) (9 (2 a - b) - 4)

9 (2 a - b) = 18 a - 9 b:

Answer: (2 a - b) (18 a - 9 b - 4)

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A group of freshmen at a local university consider joining the equestrian team. Thirty‑five percent of students choose Western r
lesantik [10]

Answer:

a) Option D) 0.75

b) Option D) 0.3

Step-by-step explanation:

We are given the following in the question:

Percentage of students who choose Western riding = 35%

P(w) = 0.35

Percentage of students who choose dressage= 45%

P(d) = 0.45

Percentage of students who choose jumping = 50%

P(j) = 0.50

Percentage of students who choose both dressage and jumping = 20%

P(d \cap j) = 0.20

Percentage of students who choose Western and dressage = 10%

P(w \cap d) = 0.10

Percentage of students who choose Western and jumping = 0%

P(w \cap j) = 0

Thus, we can say

P(w \cap j \cap d) = 0

Formula:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

a) P(student chooses dressage or jumping)

P(d \cup j) = P(d) + P(j) -p(d \cap j)\\= 0.45 + 0.50-0.20 = 0.75

b) P(student chooses neither dressage nor Western riding)

= 1 - P(d \cup w)\\= 1 - (P(d) + P(w) - P(d \cap w))\\= 1 - (0.45 + 0.35 - 0.10)= 0.3

5 0
3 years ago
F(x)=-5x-4x^-3 Please Help!
andreyandreev [35.5K]

Answer:

-:3"5'6:7;8\4-4-4-4✓

4 0
3 years ago
use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
daser333 [38]

The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.

The graph is attached below.

  • We are given a quadratic function.
  • A polynomial equation of degree two in one variable is a quadratic equation.
  • The function given to us is :
  • y = x² - 5x - 36
  • We need to find the solution of the quadratic function.
  • To find the roots, let y = 0.
  • x² - 5x - 36 = 0
  • Use the quadratic formula.
  • In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
  • x = [-b±√b²-4ac]/2a
  • x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
  • x = (5 ± √25 + 144)/2
  • x = (5 ± √169)/2
  • x = (5 ± 13)/2
  • x = 9 or x = -4

To learn more about functions, visit :

brainly.com/question/12431044

#SPJ1

3 0
1 year ago
List three ways to express 3^5 as a product of powers
adelina 88 [10]
3^5
3 x 3 x 3
3:5 <- I think
3 0
3 years ago
Read 2 more answers
Sandra throws an object into the air with an initial vertical velocity of 38 feet per second, from a platform that is 30 feet ab
Blababa [14]
<span>To solve it, use the quadratic formula with (½)(-32.174 ft/s²) = a, 38 ft/s = b, and 30 ft = c. There are two answers; the only positive answer is t = 2.986 s </span>
4 0
3 years ago
Read 2 more answers
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