The vertex-form equation is
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 =
{-5, 3}
Answer:
x = -8
Step-by-step explanation:
g(x) = 8x + 2
given: g(x) = 8x + 2 = -62
8x = -62 -2
8x = -64
x = -8
Part 1
Add up the values in the table: 90+36+54+45+63+72 = 360
This means 360 total drinks were sold. Of that total, 54 were medium regular.
The percentage of medium regular is 54/360 = 0.15 = 15%
Apply this percentage to the 640 customers he plans to sell to
15% of 640 = 0.15*640 = 96
<h3>Answer: 96</h3>
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Part 2
It sounds like your teacher wants you to find the probability of picking pink lemonade. The table says that 36 small, 45 medium, and 72 large pink lemonades were sold. That means 36+45+72 = 153 pink lemonades were sold out of the 360 total
153/360 = 0.425
Then go through each answer choice to note that 17/40 = 0.425 as well
Therefore, 153/360 = 17/40
Answer: 17/40
Answer:
-23
Step-by-step explanation:
Let first negative integer = x
The second = x +5
Their product = 126, hence,
x * (x +5) = 126
x^2 + 5x = 126
x^2 + 5x - 126 = 0
Two numbers whose product gives - 126 and sun gives 5
x(x + 14) - 9(x+14) =0
(x - 9) = 0 or (x + 14) = 0
x = 9 or x = - 14
Since x is said to be a negative integer,, the our x = - 14
First integer = - 14
Second integer = (x + 5) = (-14 + 5) = - 9
Sum of both integers :
-14 + - 9 = - 23
