Answer:
(5, 4)
Step-by-step explanation:
The equation can be written in vertex form by adding and subtracting 25:
y = -(x^2 -10x +25) -21 +25
y = -(x -5)^2 +4
Then the vertex can be identified as (5, 4).
Answer:
r = -1/2
Step-by-step explanation:
3(5 + 4r) = -18r
15 +12r = -18r by distributive property
15 = -12r - 18r
15 = -30r
r = - 1/2r
We know that 12 equals one dozen. It is not asking for a dozen, but for 9 dozen. So, we need to multiply 9 by 12. 9*12 = 108.
It says the rolls of first aid tape were divided equally into 4 boxes. We need to divide these 108 rolls into 4 equal groups, since that is what took place in the problem. So, we divide 108 by 4.
108/4 = 27. There are 27 rolls in each box.
Answer:
discriminant: 241
2 real roots
Step-by-step explanation:
The discriminant is the part of the quadratic equation that is under the sqare root
x=(-b±√(b²-4ac))/2a
discriminant: b²-4ac
We also know that a quadratic equation is in the form ax²+bx+c = 0, so we can plug in the values we know from our equation to find the discriminant.
a=4
b=-17
c=3
(-17)^2-4(4)(3)
We also know that if the discriminant
is positive we have 2 real roots
is 0 we have 1 real root aka a repeated real solution
is negative we have no real roots
