What are the key aspects of the graph of f(x) = 32 - 62, where b is a real number?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The given function is f(x) = 32 - 6x, where b is a real number.

To understand the key aspects of the graph of this function, we can analyze its equation.

1. Slope: The coefficient of x in the equation is -6. This represents the slope of the graph. A negative slope indicates that the graph is decreasing as x increases. In this case, for every unit increase in x, the graph of f(x) decreases by 6 units.

2. Y-intercept: The constant term in the equation is 32. This represents the y-intercept, which is the point where the graph intersects the y-axis. In this case, the graph intersects the y-axis at the point (0, 32).

3. X-intercept: To find the x-intercept, we set f(x) = 0 and solve for x.

32 - 6x = 0

-6x = -32

x = 32/6 = 16/3

Therefore, the x-intercept is (16/3, 0).

4. Shape: Since the coefficient of x is negative, the graph of f(x) will be a downward-sloping line.

5. Domain and Range: The domain of f(x) is all real numbers since there are no restrictions on x. The range of f(x) is also all real numbers because the graph extends infinitely in the downward direction.

To summarize, the key aspects of the graph of f(x) = 32 - 6x are:

- A negative slope of -6, indicating a decreasing graph as x increases.

- A y-intercept at (0, 32).

- An x-intercept at (16/3, 0).

- A downward-sloping line.

- A domain and range of all real numbers.

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A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

Answers

let x = roller coaster ticket
let y = boat ride ticket

x + y = 10
4x + 3y = 37

x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3

x = 10 - y
x = 10 - 3
x = 7

x = 7 ; y = 3

4x + 3y = 37
4(7) + 3(3) = 37
28 + 9 = 37
37 = 37

Answer:

D. 4r + 3(10 - r) = 37

Step-by-step explanation:

worked on edge 2022

What is the midpoint between (4,12) and (8,2)

Answers

the distance between the x values is 4 and the distance between the y values is 10...

divide the distance between the x values and the y values
add 2 to the 4 on x
add 5 to the 2 on y

gives us the midway point of (4, 7)

Question 5 (6 points)
Write the equation of the line that passes through (1,3) and (-2,9)

Answers

Answer:

y=-2x+13

Step-by-step explanation:

slope equation= (y2-y1)/(x2-x1)

(9-3)/(-2-1)=(6/-3)=-2

slope changes by a factor of -2

y=mx+b ... find b, plug in values

9=-2(-2)+b

9+4=b

b=13

CHECK

9=-2(-2)+13

9=-4+13

9=9

CORRECT

Solve the equation by taking the square root 4(x+1)^2=100

Answers

Answer:

Step-by-step explanation:

4(x+1)²=100

(x+1)²= 5²

(x+1)²- 5² = 0

(x+1-5)(x+1+5) = 0 by identity : a² - b ² = (a - b) (a+b)

(x - 4 ) (x+6) =0

x - 4 = 0 or x+6 = 0

x = 4 or x = - 6

- A company produces 7,200 gallons ofbottled water each day. The company puts
8 one-gallon bottles in each carton. How.
many cartons are needed to hold all the
one-gallon bottles produced in one day?
Write ur equation plssssss FASTTTSTSTSTSTSSTTSTSSTTS

Answers

Answer:

Number of gallons of water produced each cay by the company = 7200 gallons

Number of 1 gallon bottles put in a carton = 8

Number of cartons needed to hold all the 1 gallon bottles in a day = 7200/8

= 900

So 900 cartons are required to hold all the one gallon bottles produced by the company in a day. I hope the procedure is clear enough for you to understand. It is also important to carefully look at all the details that are provided in the question.

Answer:

900 cartons are needed

Step-by-step explanation:

7200/8=900

Urgent!!!!If you were 6' 6 1/2" tall, about how many meters tall would you be? Hint: "There are 3.28 feet in a meter."

6.4 meters
2 meters
1.8 meters
7 meters
3.5 meters

Answers

The height of the person (6 feet and 6.5 inches) is equivalent to 1.994 meters (approx. 2 meters).

How to determine the equivalent height by conversion factor

In this problem we know that height of a person measure in feet and inches, please notice that 1 foot is 12 inches and 1 meter is 3.28 foot. The conversion formula is shown below:

y = k · x

Where: