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Nina [5.8K]
4 years ago
5

Solve the following system. x 2 - y = 3 x - y = -3 The solution set

Mathematics
1 answer:
Tpy6a [65]4 years ago
8 0
Hello : 
<span>x²- y = 3 ...(1)
 x - y = -3 ...(2)
by (2) : y = x+3
subqct in (1) : x²-x-3 = 3
x²-x-6 =0
(x+2)(x-3) = 0
x+2 =0 or x-3 =0
x=-2 or x=3
if x = -2   y = -2+3 = 1
if x=3      y =3+3 = 6
two solutions : ( -2, 1) , (3,6)</span>
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Y varies directly as x squared. y is 18 when x is 3. Find y if x is 4. Any help? thanks ​
stealth61 [152]

Answer:

Step-by-step explanation:

y ∝ x^2

Introducing the proportionality constant, we have  

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Given : y= 18 when x = 3

substitute the given values in order to get the constant

i.e 18 = k x 3^2

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therefore the formula connecting  x and y

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To find y if x is 4, just substitute x = 4 into the formula connecting x and y

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4 0
3 years ago
11. Let f(x) = 2x² + 7x + 5
Lady_Fox [76]

Answer:

(x+1)(2x+5)

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f(x) = 2x² + 7x + 5

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Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

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The solution is the pair that gives sum 7.

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Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

7 0
3 years ago
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