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Leona [35]
3 years ago
6

Solve the following system. x-y=2. 3x+z=11. y-2z=-3

Mathematics
1 answer:
dexar [7]3 years ago
5 0
For the 1st one we need to solve x. x-y=2 step1: x-y+y=2+y answer: x=y+2
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If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2

so that this expression is actually a difference of squares. We can factorize this to get

(5^x-3^y)(5^x+3^y)=18

and given that 5^x-3^y=3, we divide both sides by this to get

5^x+3^y=\dfrac{18}3=\boxed{6}

7 0
3 years ago
Which graph represents the solution set for the inequality -8 < 8 + 4x < 28
valina [46]

Answer:

The solution set for the inequality is the interval (-4, 5)

Step-by-step explanation:

-8 < 8 + 4x < 28

Subtracting 8:

-8 -8 < 8 + 4x - 8 < 28 - 8

-16 < 4x < 20

Dividing by 4:

-16/4 < 4x/4 < 20/4

-4 < x < 5

x ∈ (-4, 5)

8 0
3 years ago
which of these is an example of a discrete random variable? A. Time worked on a job B. Weight of a child C. First digit of a pho
sergiy2304 [10]

es la c

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4 0
3 years ago
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Factor the equation 16x^2 -2x-5
astraxan [27]
(8x-5)(2x+1)
Check: 16x^2+8x-10x-5
16x^2-2x-5
6 0
3 years ago
What is the simplest form of 64/96
Delicious77 [7]
The answer is 2/3
64/96 to 32/48 to 16/24 to 8/12 to 4/6 to 2/3..........(64/96 in simplest form becomes 2/3)
5 0
3 years ago
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