Distribute and combine like terms 2 (x +4 ) + 3x - 5
A 5x + 13
B 5x + 3
C 5x -1
D 5x + 1

Question:

Find f(g(x)) and g(f(x)) 1. F(x) = X-5 g(x)=x²-1​

Solution:

Let f(x) = x-5 and g(x) =x²-1​. Then:

then, we can conclude that:

On the other hand:

this is equivalent to:

this is equivalent to:

then, we can conclude that:

Then, the correct answer is:

and

Step-by-step explanation:

it would be irrational insta dfl.jacob if you need more help

Answer:

Rational

Step-by-step explanation:

0.06=3/50

91.2 hours less was taken to assemble the parts of the widgets by estimation.

Firstly, we will find out the range:

Using the cumulative unit table to determine the range, we get that-

Range = 88.83 - 61.47

Range = 27.36

Secondly, we will calculate the minutes requires to assemble the widgets.

Number of minutes = 27.36 × 200 minutes

Number of minutes = 5472minutes

Now, we have to calculate  how much time less than their estimate did acme take:

Time = 5472 / 60

Time = 91.2

Therefore, we get that, 91.2 hours less was taken to assemble the parts of the widgets by estimation.

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Answer:

Jason runs for a total of 24 miles this week.

Jason also bikes a total of 72 miles.

so altogether Jason travels a total of 96 miles.

Step-by-step explanation:

Answer:

a: 3.2a -4 1/3 and -a; -1, 7

b: -47/15a+6

Step-by-step explanation:

You have to subtract 3.2 and 4 1/3 and ¨a¨ which look like (3.2-4 1/3-a) which is (-47/15a). Then you have to add -1 and 7 (-1+7) which is (6). And you get (-47/15a+6).

Hope this helped!

Answer:

128°

Step-by-step explanation:

Adjacent angles on a straight line must add up to 180°

Using the angle measures given,

(5x−28)° + 8x° = 180°

5x - 28 + 8x = 180

13x - 28 = 180

13x  = 180 + 28

13x = 208

x = 208/13 = 16

Therefore second angle = 8x° = 8(16)° = 128°

Answer:

Let's define x as the number of text messages send.

y as the number of 1,000 minutes talk per month.

(so we can write y = N/1000) where N is exactly the number of minutes that you talked that month.

> The equation for Dash is:

C1(x, y) = $80

>The equation for AB&C

C2(x,y) = $0,20*x + $55*y

> Horizon

C3(x,y) = $0.10*x + $75*y.

Now, which company you should go for?

Well, it depends on the values of x and y that you have.

if in your case you have x > y, you may want to go with Horizon, because the price per text is smaller.

if you usually talk, you may want to go with AB&C because the slope for y is smaller.

If you send a lot of texts and talk a lot, then Dash is the best option, because there is no dependence with the variables x, y

John made at the end $357 for building cabinets

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Total money will be as follow:

Total = 36*$8.50 + 17*$3

Total = $306+$51

Total = $357

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Answer:

12

Step-by-step explanation:

With PEMDAS you could know to do parentheses FIRST

6 x (10 - 2^3)

6 x (2)

12

Answer:

your answer would be 12

Step-by-step explanation:

Incordding to math this dot is mutpcation

but next to it is is a bracket in math a bracket me you need to add or subtrack evrything  in it  then multpliy the answer with the the number in it

so we just need simplfy what in the bracket

so the equation is actaliy 6x2.Hence the answer is 12

The number of square units enclosed by the polygon is 18.

First, count the number of dots that are enclosed by the polygon (including those on the boundary). There are 14 such dots.Next, count the number of dots on the boundary of the polygon. There are 8 dots on the boundary.Each of the dots on the boundary corresponds to a line segment of the polygon.

So, the perimeter of the polygon is 8 units (the length of each of these line segments).Now, we can use Pick's theorem to find the area of the polygon. Pick's theorem states that A = i + b/2 - 1, where A is the area of the polygon, i is the number of dots inside the polygon, and b is the number of dots on the boundary of the polygon.

So, plugging in the values we have: A = 14 + (8/2) - 1 = 14 + 4 - 1 = 17

Therefore, the area of the polygon is 17 square units.However, we have to remember that the dots are spaced one unit apart, horizontally and vertically.

Therefore, each square that is enclosed by the polygon has an area of 1 square unit. We counted 17 such squares, so the total area enclosed by the polygon is 17 square units.

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To find the point of tangency and the equation of the tangent line passing through the point p(-4,-2) to the graph of the function \(f(x) = -2 - 3x - x²\), follow the steps below.

Step 1: Compute the first derivative of the function \(f(x) = -2 - 3x - x²\) by taking the derivative of -3x and -x² separately.=> f'(x)

= -3 - 2x Step 2: Calculate the slope of the tangent line by substituting

x = -4 into

\(f'(x).= > f'(-4)\)

\(= -3 - 2(-4)\)

= 5. The slope of the tangent line is 5. Step 3: Compute the y-coordinate of the point of tangency by substituting x = -4 into the original function \(f(x).= > f(-4)\)

\(= -2 - 3(-4) - (-4)²\)

\(= -2 + 12 - 16\)

= -6.

The y-coordinate of the point of tangency is -6. Step 4: Find the equation of the tangent line using the point-slope form, where the slope is 5 and the point \((x₁, y₁) is (-4, -6).= > y - y₁\)

\(= m(x - x₁)⇒ y - (-6)\)

\(= 5(x - (-4))⇒ y + 6\)

\(= 5(x + 4)⇒ y\)

\(= 5x + 26\) The equation of the tangent line passing through the point \(p(-4, -2) is y = 5x + 26.\)

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Using translation concepts, it is found that function g(x) is defined by:

\(g(x) = \left|\frac{x}{5}\right|\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The absolute value parent function is defined by:

f(x) = |x|

When it is strecthed horizontally by a factor of 5, it means that the domain is divided by 5, hence the function is given by:

\(g(x) = \left|\frac{x}{5}\right|\)

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Answer: use your 5 times tables.

Step-by-step explanation:

5, 10 15, 20 25, 30, 35, 40

then count how many times it gotyou to 40

it took 8 times to get to 40.

Answer:16x?

Step-by-step explanation:

Answer:

h=3 is the answer

Step-by-step explanation:

The required solution to the given equation 4(h + 1.5) = -6 is

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question as:

4(h + 1.5) = -6

To solve the equation 4(h + 1.5) = -6, we need to isolate the variable "h". We can do this by performing the following steps:

First, we need to get rid of the parentheses around "h + 1.5". We can do this by multiplying everything inside the parentheses by 4:

4(h + 1.5) = 4h + 6

Next, we need to get rid of the coefficient of 4 in front of "h". We can do this by dividing both sides of the equation by 4:

4h + 6 = -6

h + 1.5 = -1.5

Finally, we can subtract 1.5 from both sides of the equation to isolate the variable "h":

h = -1.5 - 1.5

h = -3

Therefore, the value of "h" that satisfies the equation is -3.

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The slope of a plot of ln k versus 1/t equal to: −E_a/R

The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.

Arrhenius equation is expressed as:

k = \(Ae^{-E_{a}/RT }\)

Taking natural log on both sides,

ln k = ln \(Ae^{-E_{a}/RT }\)

In k = In A - E_a/RT

In k = In A - (E_a/R * (1/T))

This equation is in the form of y = mx + c

The plot of ln k vs 1/T gives a straight line with negative slope.

Slope = −E_a/R

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Answer:

1. you got it dude

Step-by-step explanation:

..............

Answer:i believe the answer is 23

The mass of steam in the device is 3.011 kg. The pressure of the superheated steam after compression is 0.5 MPa. This is an irreversible process.

(a) Use the appropriate property table to determine the mass of steam in the device.

Given, Piston cylinder device initially contains = 1.777 m³

Pressure = 0.50 MPa

Temperature = 500C

Using the steam table to find the mass of the steam inside the piston cylinder device by referring to the steam tables.

Using steam tables, the values are: Entropy = 6.8018 kJ/kgK

Enthalpy = 3194.7 kJ/kg

Mass of steam in device = volume / specific volume = 1.777 m³ / 0.5901 m³/kg = 3.011 kg

Therefore, the mass of steam in the device is 3.011 kg.

(b) Sketch a pressure versus specific volume graph during the compression process.

(c) Determine the work done during the compression process.The formula to calculate work done during the compression process is given by,

W = P(V1 - V2)

Work done during the compression process = 0.5[1.777-0.3]×106 N/m2 = 782100 J

Hence, the work done during the compression process is 782100 J.(d) Determine the pressure of the superheated steam after compression.The pressure of the superheated steam after compression is 0.5 MPa.

(e) Suggest three factors that will make the process irreversible. The three factors that will make the process irreversible are: Friction: Friction produces entropy which is a measure of energy loss. In a piston-cylinder device, friction is caused by moving parts such as bearings, seals, and sliding pistons.Heat transfer through finite temperature difference: Whenever heat transfer occurs between two systems at different temperatures, the transfer is irreversible. This is because of entropy creation due to the temperature gradient. In a piston-cylinder device, this can occur through contact with hotter or colder surfaces.Unrestrained expansion: Whenever a gas expands into a vacuum, there is no work done, and entropy is generated. This is an irreversible process.

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The plane will end up flying 1.7 degrees off course.
The plane's speed relative to the ground will be 729.1 km/hr.

To determine the plane's speed and direction relative to the ground, we need to use vector addition to combine the velocity of the plane and the velocity of the wind.

First, let's find the components of the wind velocity. Since the wind is blowing from the southeast, its x-component is -30cos(45) = -21.2 km/hr and its y-component is -30sin(45) = -21.2 km/hr.

Next, let's find the components of the plane's velocity. Since the plane is heading north, its x-component is 0 km/hr and its y-component is 750 km/hr.

Now, we can add the components of the plane's velocity and the wind's velocity to find the plane's velocity relative to the ground:

x-component: 0 + (-21.2) = -21.2 km/hr

y-component: 750 + (-21.2) = 728.8 km/hr

Finally, we can use the Pythagorean theorem to find the magnitude of the plane's velocity relative to the ground:

speed = sqrt((-21.2)^2 + (728.8)^2) = 729.1 km/hr

And we can use the inverse tangent function to find the direction of the plane's velocity relative to the ground:

direction = tan^(-1)(-21.2/728.8) = -1.7 degrees

So, the plane will end up flying 1.7 degrees west of north, and its speed relative to the ground will be 729.1 km/hr.

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Solution of the given expression 6a + 18ab after rewriting using a common factor is equal to :

A. 6a(1 + 3b).

As given in the question,

Given expression is equal to :

6a + 18ab

Find common factors of both the terms we get.

6 = 1, 2, 3, 6

18 = 1, 2, 3, 6, 9, 18

Highest common factor of 6 and 18 is equal to 6.

Now take 6a as a common factor from both the terms we get,

6a + 18ab

= ( 6a × 1 ) + ( 6a × 3b )

= 6a × ( 1 + 3b )

= 6a ( 1 + 3b )

Therefore, solution of the given expression 6a + 18ab after rewriting using a common factor is equal to :

A. 6a(1 + 3b).

The complete question is :

Rewrite 6a + 18ab using a common factor.

A.6a(1 + 3b)

B. 6a(0 + 3b)

C.6ab(0 + 3)

D. 6ab(1 + 18ab)

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Answer:  6a(1 + 3b)

Step-by-step explanation:  I took the test

Answer:

two-column proof

Step-by-step explanation:

i just did the quiz on ed .. i hope it helps :)

Answer:

A. Two column proof

Step-by-step explanation:

Answer:

because they have straight lines and they are regular

Step-by-step explanation:

Answer:

-6/4

Step-by-step explanation:

-13/4+7/4=

=-6/4

Step-by-step explanation:

The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

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Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!

Answer:

Trina is 13

Kieth is 18

Step-by-step explanation:

x + 5 = Kieth's age

Divide by 2 to separate the ages:

62 ÷ 2 = 31

Subtract the difference in ages:

31 - 5 = 26

Add the 5 years to Kieth's age:

31 + 5 = 36

Divide by 2 again, to eliminate the twice of their ages

26 ÷ 2 = 13

36 ÷ 2 = 18

Trina is 13

Kieth is 18

This is what i got. Sorry if i'm wrong, lmk if i am!

Hope this helps! Brainliest if i'm correct!?

The multiple regression technique considers the effects of wide range of factors, including site characteristics, such as visibility and access, and characteristics of the trade area, such as demographics and lifestyle segments represented to estimate a statistical model.

It is a powerful tool for analyzing the relationships between a dependent variable and several independent variables simultaneously. The multiple regression technique is used in market research to determine which factors have the most significant impact on sales, market share, or other measures of performance. Multiple regression analysis is useful for determining the factors that have a significant impact on the outcome of a study. It is also useful for identifying trends and relationships between variables.

The process of multiple regression is complex and requires a thorough understanding of the underlying principles. However, once mastered, it can be an invaluable tool for analyzing and interpreting data in a wide range of fields. So therefore the multiple regression technique is used to estimate a statistical model by considering the effects of a wide range of factors, including site characteristics such as visibility and access, as well as characteristics of the trade area, such as demographics and lifestyle segments represented.

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Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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Answer: A) 87

The median value is the second quartile (Q₂), which is 87.

Answer:

A: 87

Step-by-step explanation:

Sorry for this very late response. But if anyone is not sure if answer A is correct, it is. I can confirm this because I just took the test. I hope I could help! (: