All categories

1 year ago

If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?

Mathematics

1 answer:

andre [41]1 year ago

8 0

The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0

<h3>What exactly is a function?</h3>

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given function;

f(x) = 16x – 30

g(x) = 14x – 6

⇒(f – g)(x) = 0

⇒(16x – 30)-(14x – 6)=0

⇒16x-30-14x+6=0

⇒2x-24=0

⇒x=24/2

⇒x=12

Hence, the value of the x will be 12.

To learn more about the function, refer to:

brainly.com/question/5245372

#SPJ1

You might be interested in

Mr. Martin’s math test which is worth 100 points has 29questions. Each problem is worth 2points or 5 points. X represents number

adell [148]

Answer:there are 14 5point problems and 15 2point problems on the test.

Step-by-step explanation:

x represents number of 5 point questions and y represents questions worth 2 points.

The total number of questions in the test is 29. It means that

x + y = 29

x = 29 - y

Mr. Martin’s math test is worth 100 points. It means that

5x + 2y = 100 - - - - - - - - -1

Substituting x = 29 - y into equation 1, it becomes

5(29 - y) + 2y = 100

145 - 5y + 2y = 100

- 5y + 2y = 100 - 145

- 3y = - 45

y = - 45/-3

y = 15

x = 29 - y = 29 - 15

x = 14

3 0

3 years ago

Eight More than four times a Number is negative 20

gizmo_the_mogwai [7]

Answer:

If this is what I think it is then your answer is 4x + 8 = -20

3 0

2 years ago

Find the Exponential Regression using the table. Write the initial amount, common ratio, and equation for the table.

Ipatiy [6.2K]

Answer:

Initial amount;

2110.6

Common ratio;

0.0201

Equation;

$y=2110.6e^{0.0201x}$

Step-by-step explanation:

In this scenario, the month represents the independent variable x while the membership amount represents the dependent variable y.

The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.

The Ms. Excel output is shown in the attachment below. To obtain the initial amount we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.