What is the value of 3-(-2)?
o -5
o -1
o 1
o 5

Based on the information provided, we have:

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

Given the following functions:

f(x) = 5x

g(x) = x - 3.

Next, we would determine the value of composite function f(g(x)) as follows:

f(g(x)) = f(x - 3)

f(g(x)) = 5(x - 3)

f(g(x)) = 5x - 15.

Also, we would determine the value of composite function g(f(x)) as follows:

g(f(x)) = g(5x)

g(f(x)) = (5x) - 3

g(f(x)) = 5x - 3.

Read more on functions here: https://brainly.com/question/27832333

#SPJ1

Solution:

5x^-2

5 * x^-2

5 * 1/x^2

5/x^2

Best of Luck!

The given expression without negative exponent  is \(\frac{5}{x^2}\)

Given the indices expression

5x^-2

We are to express with the negative exponent:

According to the indices expression

\(x^{-n}=\frac{1}{x^n}\)

Hence the given expression is \(\frac{5}{x^2}\)

Learn more on indices here; https://brainly.com/question/10339517

Answer:

The Answer is C.

Step-by-step explanation:

It's important to know how the standard form of an equation works.

Remember that y = mx + b, where y is the output value, m is the slope of the equation, and b is the y-intercept (the initial value) of the equation. We know that the pool starts with 25 inches of water in it, so the initial value, or y-intercept is 25, because the pool starts with 25 inches of water after 0 hours. We know that the pool fills up 4 inches per hour, meaning as each hour progresses, the equation will increase by 4. This is the slope. y has been replaced with h in this equation. So, your answer would be h = 4t + 25.

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

For more such questions on derivative

https://brainly.com/question/26369159

#SPJ8

Answer:

The value of f(-3) + f(5) is 10

Step-by-step explanation:

So,

f(-3) = -2x + 7

f(-3) = -2(-3) + 7

f(-3) = 6 + 7 = 13

f(5) = -2x + 7

f() = -2(5) + 7

f(5) = -10 + 7 = -3

Here, The value of f(-3) + f(5)

= f(-3) + f(5)

= 13 + (-3)

= 13 - 3

= 10

Thus, The value of f(-3) + f(5) is 10

The value of the expression 8 / m - 11 / 3m is  13 / 3m

8 / m - 11 / 3m

Therefore,

8 / m - 11 / 3m

The factor of the denominator is 3m

Therefore,

8 / m - 11 / 3m = 3(8) - 11/ 3m

3(8) - 11/ 3m = 24 - 11 / 3m

24 - 11 / 3m = 13 / 3m

learn more on fraction here: https://brainly.com/question/24161414

#SPJ1

Answer:

\(\large \text{$f^{-1}(x) = 3x -6$}\)

Graphs attached

Step-by-step explanation:

Your inverse function is correct.  So not sure what additional information you need

I am not familiar with the graphing tool you have been provided with. My graph is attached. I used a free online graphing tool

Answer:

Yes

Step-by-step explanation:

Answer:

12/19

Step-by-step explanation:

19/19 - 7/19 = 12/19

Answer:

The answer would be D uwu

Step-by-step explanation:

.-.

Answer: d took test

Step-by-step explanation:

Answer:

x>-4    

:)

Step-by-step explanation:

Answer:

C. x > -4

Step-by-step explanation:

2x - 8 < 5x + 4

=> -3x < 12

=> x > -4 (have to change the inequality sign because it's divided by a negative number, -3)

Answer:

The length of each side is 10.5

Step-by-step explanation:

If you mean h as in the hypotenuse:

perimeter= 45    side h= 24    find x

45 - 24 = 2x

21 = 2x

/2     /2

10.5 = x

Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

To more on Graph:
https://brainly.com/question/19040584
#SPJ8

Answer:

----------------------

If the system of linear equations has infinitely many solutions, it means the two lines overlap.

In other words, each point of one of the lines also belongs to the second line.

Choices a, b, c  give us one or no solutions and therefore not the answer.

Choice d is reflecting the infinitely many solutions and hence is the correct one.

(A) The range and IQR for boxplot 1 is 10 and 6 respectively.

(B) The range and IQR for boxplot 2 is 12 and 7 respectively.

The interquartile range defines the difference between the third and the first quartile.

The formula for the interquartile range is given below.

Interquartile range = Upper Quartile – Lower Quartile = Q­3 – Q­1

The range is the difference between the lowest and highest values.

The formula for the interquartile range is given below.

Range = Maximum – Minimum

(A) For boxplot 1, we need to find the range and IQR from the given data set.

So, let 34 be the maximum and 24 be the minimum.

\(\text{Range}=\sf 34-24\)

\(\text{Range}=\sf10\)

Therefore, the range is 10.

Now time to find the IQR.

So, let 33 be Q3 and 27 be Q1.

\(\text{IQR}=\sf 33-27\)

\(\text{IQR}=\sf 6\)

Therefore, the IQR is 6.

(B) Now for boxplot 2, we will do the same thing as from part A.

Let's find the range.

So, let 24 be the maximum and 12 be the minimum.

\(\text{Range}=\sf 24-12\)

\(\text{Range}=\sf12\)

Hence, the range is 12.

Now for the IQR.

So, let 22 be Q3 and 15 be Q1.

\(\text{IQR}=\sf 22-15\)

\(\text{IQR}=\sf 7\)

Hence, the IQR is 7.

To know more about the range and IQR, visit:

https://brainly.com/question/31752116

#SPJ5

Question attached

Answer and explanation:

Here we would use the two sample t test. In finding the hypotheses for a two sample t test we test the sample mean of one group against the other group to determine if there is a statistical difference or they are equal. We have this to compare the mean finger tapping rate of the two groups being tested in the question. Our null and alternative hypotheses here are:

H0: u1 = u2 null hypothesis

H1: u1 > u2 alternative hypothesis

Where u1 and u2 are the sample means for each group in the caffeine experiment

Therefore, using the multiplier formula, a $525,000,000 increase in RGDP would result in a total increase in spending of $2,625,000,000.

To use the multiplier formula, we need to know the marginal propensity to consume (MPC), which is the fraction of each additional dollar of income that is spent on consumption.

The multiplier formula is: Multiplier = 1 / (1 - MPC)

If we assume an MPC of 0.8 (meaning that for every additional dollar of income, 80 cents are spent on consumption), the multiplier would be:

Multiplier = 1 / (1 - 0.8) = 5

So, if the change in Real Gross Domestic Product (RGDP) is $525,000,000, the total increase in spending (including consumption, investment, government spending, and net exports) would be:

Total spending increase = Multiplier x RGDP change

Total spending increase = 5 x $525,000,000

Total spending increase = $2,625,000,000

To know more about the investment, visit:

https://brainly.com/question/15105766

#SPJ1

Answer:

80

Step-by-step explanation:

DAB =DAC...........

The correct response is that he gave his brother a gift for which he spend 1/8 of his money.

Money is primarily used as a store of value, an account number, and a medium of trade. The four distinct kinds of money are fiat, commodity, fiduciary, and money issued by commercial banks. The U.S. dollar as well as the euro, which are used by the 19 nations that make up the Eurozone, are two examples of currency.

The entire amount Hector made will be denoted by the letter "M".

He paid 3/4 of this money on presents, so he had (1 - 3/4) = 1/4 of a money left after paying for gifts, according to the problem.

Let's name the sum of money he has left over after purchasing gifts "N".

He then used 1/6 of the gift money to purchase his brother's gift, this translates to:

(1/6) x (3/4) M = (1/8) M

On his brother's gift.

To summarize, he spent (1/8) of his total earnings on his brother's gift.

To know more about Money visit:

https://brainly.com/question/22984856

#SPJ1

The equivalent value to 2.76 is C. two and nineteen twenty-fifths.

An equivalent value is an amount or numerical expression possessing the same value as the other.

Equivalent values are expressed as equations, using the equation symbol (=).

Equations are a class of the properties of mathematical expressions, including numbers and variables.

Two and nineteen twenty-fifths = 2¹⁹/₂₅.

When expressed as a decimal, 2¹⁹/₂₅ = 2.76.

Thus, 2.76%, 27.6%, or twenty-five over nineteen are not equivalent values of 2.76 but 2¹⁹/₂₅.

Learn more about equivalent values at https://brainly.com/question/843074

#SPJ1

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

The total weight of the contents is 141.33 pounds.

What is a rectangular prism?

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

Here, we have

Given: A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 5 ft by 14.5 ft by 6.5 ft. The container is entirely full and, on average, its contents weigh 0.3 pounds per cubic foot.

The volume of the container is calculated as:

5 ft× 14.5 ft× 6.5 ft= 471.125 ft³

Then, the total weight of the contents is calculated as:

471.125 ft³×  0.3 pounds per cubic foot= 141.3375 pounds≅ 141.33 pounds

Hence, the total weight of the contents is 141.33 pounds.

To learn more about the rectangular prism from the given link

https://brainly.com/question/128724

#SPJ1

Given:

The total distance traveled by car = 320 miles

Time is taken by the car = 4 hr

Required:

Find the average speed of a car.

Explanation:

The speed is given by the formula:

The speed of the car is:

Final Answer:

The speed of the car is 80 miles/hr.

The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

Learn more about sets here:

https://brainly.com/question/30705181

#SPJ1

Answer:

97

Step-by-step explanation:

Answer:

y= 4x -15

Step-by-step explanation:

Please see attached picture for full solution.

The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

To learn more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

Answer:

Slope=2.

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where

X1,y1,=(-5, -11) X2,y2=(6,11).

Slope=-11-11/-5-6

=-22/-11

=22/11

=2

Slope is 2

Answer:

2

Step-by-step explanation:

Here,

x₁ = (- 5) and x₂ = 6

y₁ = (- 11) and y₂ = 11

Now,

Slope

= y₁ - y₂ ÷ x₁ - x₂

= (- 11) - ( 11) ÷ (- 5) - ( 6 )

= - 11 - 11 ÷ - 5 - 6

= - 22 ÷ - 11

= 2 ÷ 1 = 2

Thus, Slope is 2

-TheUnknownScientist