Answer:
76
Step-by-step explanation:
recall that for a quadratic equation in the form
ax² + bx + c = 0, the discriminant is given by
discriminant, D = b²- 4ac
we are given the following:
-6x² + 2x + 3 = 0,
comparing this with the general equation above, it is clear that,
a = -6, b = 2 and c = 3,
substituting these into our equation for discriminant:
D = b²- 4ac
= 2² - 4(-6)(3)
= 4 + 72
= 76
p(-5, 2)
the rule is x + 3, so add -5 + 3 = -2
the x coordinate of P' is -2
Answer:
8.25 Gallons
Step-by-step explanation:
2.75 gallons * 3 minutes = 8.25 gallons
$24,000 per year!! Hope it helps :) goodluck
Answer:
The variance of the given data is 106.9667
Step-by-step explanation:
The variance, S² of a sample is given by the expression;
Where:
= One of the observations
= The mean of the observations
n = Number in the sample = 6
The mean = Σ/n = (26 + 32 + 29 + 16 + 45 + 19
)/6 = 167/6 = 27.833
Therefore, we have;
S² = ((26 - 27.833)²+(32 - 27.833)²+(29 - 27.833)²+(16 - 27.833)²+(45 - 27.833)²+(19 - 27.833)²)/(6 - 1) = 106.9667.
