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.

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)

slope= 1

y-inter slope= 0

x       y

o     0

1       1

2     2

ect.

step-by-step explanation: