Answer:
Step-by-step explanation:
Let the solution to
2x^2 + x -1 =0
x^2+ (1/2)x -(1/2)
are a and b
Hence a + b = -(1/2) ( minus the coefficient of x )
ab = -1/2 (the constant)
A. We want to have an equation where the roots are a +5 and b+5.
Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.
The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.
So the equation is
x^2-(19/2)x + 22 =0
2x^2-19x + 44 =0
B. We want the roots to be 3a and 3b.
Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and
(3a)(3b) = 9(ab) =9(-1/2)=-9/2.
So the equation is
x^2 +(3/2) x -9/2 = 0
2x^2 + 3x -9 =0.
9514 1404 393
Answer:
D. 3 to 4
Step-by-step explanation:
The ratio ...
blueberries : strawberries = (1/2) : (2/3)
can be changed to a ratio of integer by multiplying by the least common denominator: 6.
= 6(1/2) : 6(2/3) = 3 : 4
The answer is 1.25.
The equation for slope is rise over run. Y is the rise and X is the run. The point equation is (y2-y1)/(x2-x-1) = slope.
Plugging in the numbers: (-4-1)/(-4-0) = 1.25
Answer:
$80
Step-by-step explanation:
It's khan so you don't need the explanation but for those interested then here:
K=30x+20 - Kayla
S=35x+10 - Sara
60+20=80
70+10=80
So they match up at $80
Magazines that cost $3.95 each, <span>m represent the number of magazines
</span>books that cost $8.95 each, <span>b represent the number of books
</span><span>total of $47.65
</span><span>
so
equation
3.95m + 8.95b = 47.65</span>
