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borishaifa [10]
2 years ago
8

Factorize the following: 9{p-q}²-25{q-r}²

Mathematics
1 answer:
Gekata [30.6K]2 years ago
5 0
My answer is in the picture

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Determine Upper P (Upper F or Upper G )using the general addition rule. Select the correct choice below and fill in any answer b
Lilit [14]

Answer:

S= {8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 }

event F= {10 , 11 , 12 , 13 , 14}

event G= {14 , 15 , 16 , 17}

a) List of outcomes in F or G

answer;

(F or G) = { 10 , 11, 12 , 13 , 14 , 15 , 16 , 17}

b) P ( F or G) = by counting the number of outcomes in F or G  

Ans ( F or G) = No. of outcomes in ( F or G) / Total no. of outcomes

= 8/12 = 2/3

c) P ( F or G) using general addition rule

Ans P (F or G) = P(F) = P(G) - P( F and G)

      = 5/12 + 4/12 - 1/12

       = (5+4-1)/12 = 8/12 =2/3

Step-by-step explanation:

8 0
3 years ago
Which of the following equations below is a linear inequality?
Ket [755]

Answer:

D

Step-by-step explanation:

A <u>linear inequality</u> is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: <, >, ≤, ≥.

Consider all options:

A. The inequality \dfrac{y}{x}>3\cdot x+2 is not linear linear inequality, because x is in the left part denominator and in the right part numerator.

B. This option shows linear equation, not inequality.

C. This option shows quadratic equation, not linear inequality.

D. This option shows linear inequality y\le 5x-5

4 0
3 years ago
Please help me with this problem..
charle [14.2K]

Answer:

y = 6

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 9, then

k = \frac{y}{x} = \frac{3}{9} = \frac{1}{3}, thus

y = \frac{1}{3} x ← equation of variation

When x = 18, then

y = \frac{1}{3} × 18 = \frac{18}{3} = 6

5 0
3 years ago
you made a batch of 24 cookies for school your brother ate 7 of them without asking you. What fraction of your cookies are left?
polet [3.4K]
17/24.

Explanation:
24/24 is your original amount.
24 - 7 = 17.
So now you have 17/24! :D
4 0
3 years ago
Jake wanted to measure the height of the Great Sphinx of Giza. He placed a mirror on the ground and then walked backwards until
defon

Answer:

65

Step-by-step explanation:

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3 years ago
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