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4 years ago

Write the quadratic equation y= (x)2-6x-7 in vertex form

Mathematics

2 answers:

I am Lyosha [343]4 years ago

8 0

Answer:y = (x-3)^2 -16

Step-by-step explanation:

lakkis [162]4 years ago

4 0

Answer:

y = (x-3)^2 -16

Step-by-step explanation:

y = x^2 -6x-7

We need to complete the square

b= -6

b/2 = -6/2 = -3

(b/2) ^2 = (-3)^2 =9

Add 9 then subtract 9 to balance the equation

y = x^2 -6x +9 -9 -7

y = (x^2 -6x+9) -16

The terms in parentheses is (x-b/2)^2

y = (x-3)^2 -16

This is in vertex form

The vertex is (3,-16)

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Simplify the expression.<br> <br> 46 – 16 ÷ 2 × 4

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46 - 16/2 x 4 =
46 - 8 x 4 =
46 - 32 =
14 <==

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4 years ago

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The stadium vending company finds that sales of hot dogs average 35,000 hot dogs per game when the hot dogs sell for $2.50 each.

erma4kov [3.2K]

Answer:

A function R x that models the total revenue per game is as follows:

Rx = 87,5000 + 3,750x – 500x^2.

Step-by-step explanation:

Based on the information in the question, we have:

Rx = Total revenue per game

x = Number of $0.25 increases in the price of a hot dog

Average sales of hot dogs = 35,000

Effect of each 25 cent increase in the price on average sales = 35,000 - 2000x

Effect of each 25 cent increase in the price on selling price = 2.5 + 0.25x

Therefore, we have:

Rx = (35,000 - 2000x)(2.5 + 0.25x)

This can be solved further by opening the brackets as follows:

Rx = 87,5000 + 8,750x - 5,000x - 500x^2

Rx = 87,5000 + 3,750x – 500x^2

Therefore, a function R x that models the total revenue per game is Rx = 87,5000 + 3,750x – 500x^2.

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3 years ago

What is the slope of the line y+4 = 3(x+6)

Akimi4 [234]

Answer:

Step-by-step explanation:

First you gotta take the equation and bring it to the following form:

$y = ax + b$

The slope of the line is the coefficient of x, a.

In other words:

$y + 4 = 3(x + 6) \\ y + 4 = 3x + 18 \\ y = 3x + 18 - 4 \\ y = 3x + 14$

So, as we can see, the number infront of x is 3. That is to say that the slope of this line is equal to 3.

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4 years ago

The value of the digit in the hundredths place is how many times as much as the value of the digit in the tenths place?

Sphinxa [80]

10 times

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3 years ago

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Which of the following statements properly define a variable? Select all that apply. a. Let w represent Enrique's weight b. Let

RoseWind [281]

Answer: c. Let d represent Enrique's distance from home (in miles).

e. Let w represent Enrique's weight in pounds

Step-by-step explanation:

A variable is a particular type of value that denotes an unknown quantity.

It is denotes by using alphabets.
It can change.

To define a variable , we need define a amount or quantity with units and in case of length an exact position is required.

a. Let w represent Enrique's weight

It is not a variable because no units is defined.

b. Let d represent Enrique's distance (in miles).

It is not a variable because the points to establish distance traveled by Enrique is not given .

c. Let d represent Enrique's distance from home (in miles).

It is a variable as both units and position as mentioned.

d. Let d represent Enrique's distance from home.

It is not a variable because no units is defined.

e. Let w represent Enrique's weight in pounds.

It is a variable because unit of weight is mentioned.

Hence, the correct statements that properly define a variable are :

c. Let d represent Enrique's distance from home (in miles).

e. Let w represent Enrique's weight in pounds

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4 years ago