Answer:
Step-by-step explanation:
Factorization of a Quadratic polynomial:
- In order to factorize
we have to find out the numbers p and q such that, p+q = b and pq=ac.
- Finding the two integers p and q, we rewrite the middle term of the quadratic as px+qx. Then by grouping of the terms we can get desired factors.
Multiplication of two binomial:
(a+b)(c+d)
=a(c+d)+b(c+d)
=(ac+ad)+(bc+bd)
=ac+ad+bc+bd
Given that,
[ taking common 2]
[ cancel 2]
I give you an example 5%= 5/100
The linear combination method involves multiplying, adding and subtracting in such a way that allows one variable to be eliminated in the addition or subtraction step. This leaves the other variable alone, allowing its value to be determined.
1. <span>5m+3n=41, 3m−6n=9
Multiply 1st equation by 2: 10m + 6n = 82
Add to 2nd equation: 13m = 91
Divide by 13: m = 7
Substitute back to 1st equation: n = 2
Therefore m = 7 and n = 2.
2. </span><span>6g+8h=40 −6g+2h=−20
Add both equations: 10h = 20
Divide by 10: h = 2
Substitute to 1st equation: g = 4
Therefore g = 4 and h = 2.
3. </span><span>9x+5y=35 2x+5y=0
Subtract 1st equation by the 2nd equation: 7x = 35
Divide by 7: x = 5
Substitute back to the 1st equation: y = -2
Therefore x = 5 and y = -2.
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Answer:
(x, y) = (2/5, 1)
Step-by-step explanation:
Substitute for y and solve for x.
1 = -5x +3
-2 = -5x . . . . . . subtract 3
2/5 = x . . . . . . divide by -5
The solution is (x, y) = (2/5, 1).
The x-intercepts<span> are where the graph crosses the x-axis, and the y-</span>intercepts<span> are where the graph crosses the y-axis. We find these intercepts when we set one variable to zero. For instance,
</span><span>
y = x^2-10x+25
y-intercept : y = </span>0^2-10(0) +25
<span> y = 25
x-intercept: 0 = </span>x^2-10x+25
0 = (x - 5) (x - 5)
x = 5
