Quadratic formula is x = -b+ or- sq rt b^2-4ac / 2a
a=2 b=5 c=-3
-5 +or- sqrt 5^2-4(2)(-3) / 2(2)
-5 +or- sqrt 49/ 4
-5 + 7 /4 = 2/4 = 1/2
-5 - 7 /4 = -12/4 = -3
Factoring a*c is 2*-3 =-6
Factors of -6 that add to 5 are 6 and -1
Split 5x into +6x-1x
2x^2+6x-1x-3 and group
2x(x+3)-1(x+3)
(x+3)(2x-1)=0
x+3=0 gives x=-3
2x-1=0 gives x=1/2
Answer:
-1/2x+1 is the equation.
Step-by-step explanation:
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
Hope this helped!
Okay so first off the equation of a line is
Y=mx+b
m= the slope
b= the y intercept
The Y intercept of this line is 2 and the slope is 5/3! You know this is the slope because if you start at point a and go up 5 and to the right 3, you end up at point b.
The equation for this line would be y=5/3x+2
Answer:
8 baskets worth 3 points each and 4 baskets worth 2 points each
Step-by-step explanation:
It is 8 baskets worth 3 points each and 4 baskets worth 2 points each because it says Juarez scored twice as many baskets worth 3 points than the baskets worth 2 points. 4 x 2 = 8
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6 baskets worth 3 points each and 7 baskets worth 2 points each
: wrong because 7 x 2 = 14.
10 baskets worth 3 points each and 1 basket worth 2 points
: wrong because 1 x 2 = 2.
4 baskets worth 3 points each and 10 baskets worth 2 points each: wrong because 10 x 2 = 40.
