MATHEMATICS
HIGH SCHOOL

Answer: The answer is -16 + (-x/4) = -3

MIDDLE SCHOOL

What benchmarks is 2/18 closest too?

1/9

by dividing the 2 and 18 by 2

hope this help

by dividing the 2 and 18 by 2

hope this help

HIGH SCHOOL

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

Read more about Vertex Point at; brainly.com/question/17987697

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

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

MIDDLE SCHOOL

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

The equation will be

8 / 2 = 4

In the repeated subtraction since in actuality division is the larger numbers which is just subtraction.

it becomes,

8 - 2 -2 = 4

8 -2 = 6 - 2 = 4

8 / 2 = 4

In the repeated subtraction since in actuality division is the larger numbers which is just subtraction.

it becomes,

8 - 2 -2 = 4

8 -2 = 6 - 2 = 4

MIDDLE SCHOOL

If the distance from 0 to x on a number line is equal to 5, then –5 + x = 0

In the problem -5+x=0, x=5