Solve the system by substitution. y=-7x^2-9x+6 y=1/2x+11 •no solution •(0,11) •(0,11), (2,12) •(-4,,16)

Step-by-step explanation:

We can use the second expression to substitute for y in the first expression. Then we have ...

... 1/2x +11 = -7x^2 -9x +6

Subtracting the right side, we get

... 7x^2 +(9 1/2)x +5 = 0

Eliminating fractions by multiplying by 2, this is ...

... 14x^2 +19x +10 = 0

The discriminant of this equation will tell the number and kind of roots. For a=14, b=19, c=10, the discriminant is ...

... b^ -4ac = 19^2 -4·14·10 = 361 - 560 = -199

Since this value is negative, we know the two roots to the quadratic will be complex. There are no real solutions.

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The graph shows the two curves do not intersect, hence there are no values of x that will make the y-values match.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

step-by-step explanation: 2