Mathematics College

function f(x) has a slope of 3/2 and a y-intercept of 6. explain how the graph of f(x) could be used to find the x-intercept

Answers

Answer 1

Answer:

x - intercept = -4

Step-by-step explanation:

We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.

From general line equation, the formula is; y = mx + c

Where m is the slope and c is the intercept.

Thus, the equation is;

f(x) = (3/2)x + 6

Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.

Thus let's put 0 for f(x) to find the x-intercept.

0 = (3/2)x + 6

(3/2)x = -6

x = -6 × 2/3

x = -4

Answer 2

Answer:

x=(x-4)

Step-by-step explanation:

Find the x-coordinate of the point that crosses the x-axis. The x-intercept is -4

Related Questions

Is the relationship between the number of tickets sold and the number of hours proportional? If so, how many tickets were sold in 8 hours?

Answers

Answer:

640 tickets.

Step-by-step explanation:

8hours × 80 = 640

There are 640 tickets are sold in 8 hours.

What is Proportional?

The equality between two ratio is called Proportional.

Given that;

Number of hours for selling number of tickets.

Since, To check the relationship is proportional or not, we check the equality between two given ratio.

Hence, The ratio are;

Number of hours : Number of Tickets

= 3 : 240 : : 5 : 400

It can be solve as;

= 3/240 = 5/400

= 1/80 = 1/80

= 1:80 : : 1:80

Thus, The given relationship between the number of tickets sold and the number of hours is proportional.

Now, Let number of tickets in 8 hours = x

Then, By definition of proportional we get;

⇒ 3 : 240 :: 8 : x

Solve the proportional as;

⇒ 3/240 = 8/x

⇒ x = 8 × 80

⇒ x = 640

So, There are 640 tickets are sold in 8 hours.

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The polynomial function for this graph is of (odd,even, abnormal)
degree and the leading coefficient is (positive,negative,zero)

Answers

Answer:

first graph: The polynomial function for this graph is of ✔ odd degree and the leading coefficient is ✔ negative.

second graph: The polynomial function for this graph is of ✔ even degree and the leading coefficient is ✔ negative.

Step-by-step explanation:

hope this helped

The polynomial function for this graph is of odd degree and the leading coefficient is negative.The polynomial function for this graph is of even degree and the leading coefficient is negative.

What is Even and Odd function?

When the output value of a real-valued function, f(x), is equal to f(-x), for all values of x inside the domain of f, the function is said to be an even function.

It is claimed that a real-valued function f(x) is an odd function when, for all values of x in the domain of f, the output value of f(-x) is equal to the negative of f(x).

Given:

As, we know the first graph graph of an odd function is at the same distance from the origin but in opposite directions and, graph of an even function remains the same after reflection about the y-axis.

So, The polynomial function for this graph is of odd degree and the leading coefficient is negative.

and, The polynomial function for this graph is of even degree and the leading coefficient is negative.

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Given the linear function f (x) = 4x - 2 identify the following;

Slope

Y intercept (let x = 0)

X intercept (let y = 0)

Is the function increasing or decreasing?

Answers

Answer:

slope: m = 4

y intercept: (0, -2)

x intercept: (1/2,0) the 1/2 is one half

the function is increasing

At Henry's yearly physical, he measured 5 feet 8 inches tall. If there are 2.54 centimeters in 1 inch, what is Henry's height in centimeters?

Answers

Answer:

172.72 centimeters

Step-by-step explanation:

1. 5 ft. = 60 in.

2. 60 in. + 8 in. = 68 in.

3. 68 x 2.54 = 172.72

4. add unit of measurement to your answer

Henry's height in centimeters is 172.72 cm

What is unitary method ?

"A process of finding the value of a single unit, and based on this value we can find the required value. "

For given question,

Henry measured 5 feet 8 inches tall.

There are 2.54 centimeters in 1 inch.

that is, 1 inch = 2.54 cm

First we convert Henry's height in inches.

We know that 1 feet = 12 inches

⇒ 5 feet = 60 inches

so, Henry's height in inches would be,

5 feet 8 inches

= (60 + 8) inches

= 68 inches

From given, 1 inch = 2.54 cm

⇒ 68 inches = 172.72 cm

Therefore, Henry's height in centimeters is 172.72 cm

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American Black Ducks migrate a great distance every year. A typical bird will travel 2,739 miles in 33 days. Which of the following best represents this trip with a constant unit rate of travel? 7.4A

Answers

Answer:

Rate of travel = 83 miles per day

Step-by-step explanation:

Given:

Total distance = 2,739

Number of days = 33 days

Find:

Rate of travel

Computation:

Rate of travel = Total distance / Number of days

Rate of travel = 2,739 / 33

Rate of travel = 83 miles per day

Evaluate the function f(x) at the given numbers (correct to six decimal places).

f(x) =

x2 − 2x

x2 − 4

,

x = 2.1, 2.05, 2.01, 2.001, 2.0001,

1.9, 1.95, 1.99, 1.999, 1.9999

x f(x)

2.1

0.512195

Correct: Your answer is correct.

2.05

0.5062

Incorrect: Your answer is incorrect.

2.01

0.5012

Incorrect: Your answer is incorrect.

2.001

0.5000

Incorrect: Your answer is incorrect.

2.0001

0.500012

Correct: Your answer is correct.

x f(x)

1.9

0.487179

Correct: Your answer is correct.

1.95

0.493670

Incorrect: Your answer is incorrect.

1.99

0.498746

Incorrect: Your answer is incorrect.

1.999

0.499874

Incorrect: Your answer is incorrect.

1.9999

0.499987

Correct: Your answer is correct.

Answers

Answer:

[tex]f(2.1) = 0.512195[/tex]

[tex]f(2.05) = 0.506173[/tex]

[tex]f(2.01)=0.501247[/tex]

[tex]f(2.001) = 0.500125[/tex]

[tex]f(2.0001) = 0.500012[/tex]

[tex]f(1.9) = 0.487179[/tex]

[tex]f(1.95) = 0.493671[/tex]

[tex]f(1.99) = 0.498747[/tex]

[tex]f(1.999) = 0.499875[/tex]

[tex]f(1.9999) = 0.499987[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{x^2 - 2x}{x^2 - 4}[/tex]

Solve for f(x) for all given values of x

First, we need to simplify f(x)

[tex]f(x) = \frac{x^2 - 2x}{x^2 - 4}[/tex]

[tex]f(x) = \frac{x(x - 2)}{x^2 - 2^2}[/tex]

[tex]f(x) = \frac{x(x - 2)}{(x- 2)(x + 2)}[/tex]