# Negative 16 plus the quotient of a number and -4 is -3

## Related Questions

What benchmarks is 2/18 closest too?

1/9
by dividing the 2 and 18 by 2
hope this help

The function f(x) = –x2 + 16x – 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number of candles sold, and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points) Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)

The vertex an it's meaning in the context of the problem are; (8,4) which means you selll 8 candels to make a maximum profit of \$4

What is the vertex point of the equation?

The vertex of a parabola could either be the maximum or minimum value.

The equation of the function is;

f(x) = -x² + 16x - 60

The leading coefficient is negative and it means that the parabola opens downward and is a maximum.

A)The vertex of the parabola is at; x = -b/(2a)

Since our equation is f(x) = -x² + 16x - 60, then;

x-value of the vertex is;

x = -16/(2 * -1)

x = 8

y-value of vertex is;

f(8) = -1(8)² + 16(8) - 60 = 4

Coordinates of the vertex is (8,4) which means you selll 8 candels to make a maximum profit of \$4

B) x-intercepts are where  f(x)=0. Thus;

-x² + 16x - 60 = 0

(x² - 16x + 60)

Using quadratic equation solver, we have;

x intercepts are at x = 6 and 10

This means no profit is made at when x = 6 and 10

The vertex is either the maximum or minimum value
since the leading coefinet is negative (the number in front of the x² term), the parabola opens down and is a maximum

so
A.
a hack version is to use the -b/(2a) form
if  you have f(x)=ax²+bx+c, then the x value of the vertex is -b/(2a)
so
given
f(x)=-1x²+16x-60
the x value of the vertex is -16/(2*-1)=-16/-2=8
the y value is f(8)=-1(8)²+16(8)-60=
-1(64)+128-60=
4
the vertex is (8,4)
so you selll 8 candels to make the max profit which is \$4

B.
x intercepts are where the line crosses the x axis or where f(x)=0
solve
0=-x²+16x-60
0=-1(x²-16x+60)
factor
what 2 numbers multiply to get 60 and add to get -16
-6 and -10
0=-1(x-6)(x-10)
set each factor to 0
0=x-6
x=6

0=x-10
10=x
x intercepts are at x=6 and 10
that is where you make 0 profit

How you would use repeated subtraction to find 8 divided by 2 math