Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = (x - h)² + k (h, k) are the coordinates of the vertex
Given y = x² + 7x - 5
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )²
y = x² + 2( 
)x +
- - 5
y = (x + )² - - 
y = (x + )² - 
Hence
a = and b = -
Answer:
f(3) = -20
Step-by-step explanation:
To find the value of a function, substitute the number for the variable and do the arithmetic.
f(x) = -2x^2 +x -5 . . . . . . given
f(3) = -2(3^2) +(3) -5 . . . . function value for x = 3
f(3) = -2(9) +3 -5 = -18 +3 -5
f(3) = -20
Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
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If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
__
There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
_____
nCk = n!/(k!(n-k)!)
Answer
-10
Step-by-step explanation:
-8w-7=9
add 7 to both sides
-8w=16
divide by negative 8 on both sides
w=-2
w-8=-10
Bring y to one side and the rest to the other switching the positives to negative then you’ll get Y=114
