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3 years ago

Given the function ƒ(x) = 3x + 5, find ƒ(4) and x such that ƒ(x) = 38.

Mathematics

1 answer:

Sonja [21]3 years ago

3 0

Answer:

just plug 4 inside f(x)=3(4)+5

3x+5=38

3x=33

Divid by 3 on both sides

x=11

Step-by-step explanation:

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Sketch the graph of y (x +3)2-4 and identify the axis of symmetry.

masya89 [10]

The axis of symmetry is at x = -3.

This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

6 0

3 years ago

What’s the equation.?

Stella [2.4K]

Answer:

See below

Step-by-step explanation:

You know that he spent 1/3 of his earnings, and then 1/4. After this, he has $28.90. You can write the equation like this:

1/4(x * 1/3) = $28.90.

If you need to solve it:

1/4 * 1/3x = 28.90

1/12x = 28.90

x = 346.80

8 0

3 years ago

1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method

solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

$\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x$

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

$\rm y = \dfrac{2}{3} x + c$

Then this line also passes through a point (2, -3). Then the value of c will be

$\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13$

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ4

8 0

2 years ago

Determine whether the bolded numerical value is a parameter or a statistic. Explain your reasoning.The average annual salary of

sergey [27]

Answer: F. Statistic, because the data set of salaries of 50 employees is a sample.

Step-by-step explanation:

A parameter gives measure of a characteristic for the entire population where as a statistic gives measure of a characteristic for the subset of population (sample).

Given : The average annual salary of 50 of a company's 800 employees is $54,000.

It means the sample size = 50 and the sample mean salary= $54,000.

i.e $54,000 is giving the measure for mean salary for the sampled 50 employees.

It means $54,000 is a statistic .

Hence, the correct answer is option (F).

7 0

4 years ago

Subtract.

Illusion [34]

Answer:−93 3−153−53

Step-by-step explanation:

wrong answer but the answer is on google

6 0

3 years ago