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3 years ago

y = x2 - 6x - 8 Complete the square in the quadratic equation in order to write the equation in vertex form.

Mathematics

1 answer:

Airida [17]3 years ago

8 0

Answer:

y = (x-3)^2 - 17

Step-by-step explanation:

To complete the square, take the middle term bx and divide it in two. Then take the square.

x^2 - 6x - 8 has bx = -6x. Take -6/2 = -3. Square -3^2 = 9.

Now to finish completing the square add 9 and subtract 9 from one side.

y = x^2 - 6x - 8

y = (x^2 - 6x +9) -9 - 8

y = (x-3)^2 - 17

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Clark spent a total of $52 on a pair of shoes and a new jacket. The shoes cost $4 more than the jacket. Write a system of equati

lara [203]

Answer:

x+y=52
x-y=4
y=24

Step-by-step explanation:

The sum of the two costs is $52, so we can write ...

x + y = 52

The shoes cost $4 more than the jacket, so we can write ...

x - y = 4

These are your system of equations.

Subtract the second equation from the first:

(x +y) -(x -y) = (52) -(4)

2y = 48 . . . . . simplify

y = 24 . . . . . . .divide by 2

The cost of the jacket is $24.

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3 years ago

Three multiplied by the sum of 4 and a number is the same as 12 more than the number. Find the number.

Bess [88]

Answer:

3(4+n) = 12+n is an equation that could be used.

12n = 12+n

11n = 12

n= 1+1/11

Step-by-step explanation:

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2 years ago

David makes 17 dollars in an hour and works 25 hours a week.linda makes 25 dollars a hour abd works 7 hours each week. How much

Soloha48 [4]

Step-by-step explanation:

David makes 17(25)

and

Linda maked 25(7)

so it would make the equation 17(25)+25(7)

425+175 together they would be making

600 dollars a week

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2 years ago

What is the slope of y=-4x-3y?

lawyer [7]

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2 years ago

Read 2 more answers

4. Here are the equations that define three functions.

luda_lava [24]

The functions f(x), g(x) and h(x) are all linear functions

The function value that is largest is h(-100)
The function value that is largest is h(-100)
The function value that is largest is f(1/100)

<h3>How to determine the function with the largest values</h3>

The functions are given as:

$f(x) = 4x - 5$

$g(x) = 4(x - 5)$

$h(x) = x/4 -5$

At x = 100, we have:

$f(100) = 4 * 100 - 5 = 395$

$g(100) = 4 * (100 - 5) = 380$

$h(100) = 100/4 - 5 = 20$

Hence, the function value that is largest is f(100)

At x = -100, we have:

$f(-100) = -4 * 100 - 5 = -405$

$g(-100) = 4 * (-100 - 5) = -420$

$h(-100) = -100/4 - 5 = -30$

Hence, the function value that is largest is h(-100)

At x = 1/100, we have:

$f(1/100) = 4/100 - 5 = -4.96$

$g(1/100) = 4 * (1/100 - 5) = -19.96$

$h(1/100) = (1/100)/4 - 5 = -4.9975$

Hence, the function value that is largest is f(1/100)

Read more about linear functions at:

brainly.com/question/15602982

5 0

1 year ago