If the sum of three consecutive numbers is 1998, what is the first one?

Answer:

The graph of g(x) is the graph of​​ ​f(x)​ translated 4 units down.

Explanation:

Given the function f(x) and g(x) = f(x)-4

This means that the function g(x) is 4 less than the function g(x) i.e the function g(x) is reduced by 4. Since the negative values on a graph are located from the origin down the negative y axis and towards the negative x axis, we can conclude that the graph g(x) translated 4 units down. of f(x). This is translated along the y axis because the function g(x) serves as the output for all values on input variable x.

The g(x) can be written as a function of y i.e we can rewrite it as y = f(x)-4.

Hence the correct option is The graph of g(x) is the graph of​​ ​f(x)​ translated 4 units down.

Answer:

c

Step-by-step explanation:

Answer:

its c. y>1/3x-2

Step-by-step explanation:

Just took the quiz

Answer:

I'm on Edulastic.com taking a 100 Q test and this question is on it!

Step-by-step explanation:

Imao im fgging confused

The graph of the required line [tex]\bold{y=\frac{x}{4}+2}[/tex] is given below.

An equation of line with slope m and passing through point (p, q) is:

(y - q) = m × (x - p)

We have been given the slope of the line m = 1/4,

and a point (p, q) = (0, 2)

Using the slope-point form equation of line would be,

⇒ (y - 2) = 1/4 × (x - 0)

⇒ (y - 2) = 1/4(x)    

⇒ y = x/4 + 2                          ...............................(1)

So, the equation of the line is [tex]y=\frac{x}{4} +2[/tex].

To plot the line we need at least  two coordinate points.

We have been given a point (0, 2).

We need to find another point.

Substitute x = -4 in equation (1),

⇒ y = (-4)/4 + 2

⇒ y  = -1 + 2

⇒ y = 1

So, another point on the line would be (-4, 1).

Now, we plot points (0, 2) and (-4, 1) on coordinates plane.

Then the graph of the line [tex]\bold{y=\frac{x}{4}+2 }[/tex] is as shown in figure.

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Answer:

Please mark Brainliest if helpful...

0.5x+1.5y[tex]\leq[/tex]28

Step-by-step explanation:

Answer:

147

Step-by-step explanation:

Divide 294 by 2

Answer:

True

Step-by-step explanation:

If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I. And the point of the identity matrix is that IX = X for any matrix X (meaning "any matrix of the correct size", of course).

Answer:

Yes

Step-by-step explanation: And 1 is the identity, so called because 1x = x for any number x. It works the same way for matrices. If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I.

Like usual, we can solve this question using an equation. Let’s assume that John’s age is x, and his sister’s age is y.

x = 2y

To figure out John’s age, we need to know his sister’s age. He’s 2 times older than his sister.

x + y = 27

The sum of their ages is 27, and we can substitute the value of x here to figure out y.

2y + y = 27

We can now simplify this, and get y by itself.

3y = 27

Now, we can divide by 3 to get the y by itself.

y = 9

We now know that John’s sister is 9.

Now, using our original equation, we can substitute in the value of y.

x = 2(9)

We can simplify this.

x = 18

John’s age is 18!

Hope this helps.

Answer:

2280

Step-by-step explanation:

Multiply 5 times 2325 it ain't that hard g just use google lol

Answer:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.

Step-by-step explanation:

Answer:

-(x(2x squared-8x+3))/(x-1)(x+3)

Step-by-step explanation:

This can't be simplified very far, but the answer is above. Hope it helps!

The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,

WE need to simplify the given;

[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]

3x² + 8x - 3 = (3x - 1)(x + 3)

x² - 9 = (x - 3)(x + 3)

Then;

[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]

Therefore,

[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]

[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]

[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]

[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]

Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

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Answer:

y=-1/2x

Step-by-step explanation:

Answer:

y=-1/2x

Step-by-step explanation:

shown in graph

Answer:

You count the blocks and then put the amount of blocks before:)

(That sounds confusing but it sounds harder than it is)

The answer would be 3xy + 4x

Step-by-step explanation:

How many xy blocks are there? yea there's 3 so you do 3xy

you can't add xy and x blocks together because xy is a different unit than x (xy is x times y) so then you'd count the other x blocks seperately

(I'm sorry if I'm wrong on this lol)

You haven't finished the question.

You need to finish the question before it can be answered.

Using the probability concept, it is found that:

a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.

b) The events are neither complementary nor mutually exclusive.

A probability is the number of desired outcomes divided by the number of total outcomes.

Item a:

In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.

[tex]p = \frac{118}{2000} = 0.059[/tex]

There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

Item ii:

2000 - 302 = 1698 people are not in management, hence:

[tex]p = \frac{1698}{2000} = 0.849[/tex]

There is a 0.849 = 84.9% probability that the first person selected is not in management.

Item b:

If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.

To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717

Following are the solution to the given points:

For point a:

i)

[tex]\to P(B \cup E) = P(B) + P(E) - P( B\cap E)[/tex]

Where [tex]P(B \cap E) = 0[/tex] because they are both separate occasions It is impossible to be a member of both departments.  

[tex]\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\[/tex]

                    [tex]=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\[/tex]

ii)

[tex]\to P(D^c) = 1 - P(D)[/tex]

               [tex]=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\[/tex]

For point b:

Please find the attached file.

For point c:

Events in a. I are mutually incompatible since [tex]P(B \cap E) = 0[/tex]. One would be a part of the both departments.

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Answer:

pretty sure its B

Step-by-step explanation:

hope this helps ;)

Daniel will take 8 trips.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Number of boxes = 32

Number of boxes can be carried in each trip  = 4

So, Number of trips = Number of boxes / Number of boxes can be carried in each trip

⇒ Number of trips = 32/4

⇒ Number of trips = 8

this is the required number of trips Daniel will take.

Thus, Daniel will take 8 trips.

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Answer:

Step-by-step explanation:

x=22.5 degrees

[tex]\frac{y}{x} =4[/tex]

[tex]\frac{z}{x} =3[/tex]

[tex]y = 4x[/tex]

[tex]z=3x[/tex]

[tex]x +3x+4x=180[/tex]

[tex]8x=180[/tex]

[tex]\frac{8x}{8} =\frac{180}{8}[/tex]

[tex]x=22.5[/tex]

Answer:

0.85 kilograms

Step-by-step explanation:

The nearest hundredth can be defined as a place value used when rounding up numbers after the decimal.

The nearest hundredth can also mean rounding up to 2 decimal places.

We are asked to round up 0.845 to the nearest hundredth

The nearest hundredth is the second number after the decimal = 4

The third number after the decimal = 5, hence we add 1 to 4 , making it 5.

Hence:

0.845 kilograms to the nearest hundredth = 0.85 kilograms

Answer:

False

Step-by-step explanation:

A regression line tries to average out all data points, so it may not touch any of them.

Answer: Grape production is maximized for 150 vines planted

Step-by-step explanation:

Answer:

Most likely D

Step-by-step explanation:

common knowledge

Answer:

There is a significant relation between weight and price

Step-by-step explanation:

              Brand Weight(x)          Price ($) (y)

A                  17.8                        2100

B                   16.1                        6,250

C                   14.9                        8,370

D                   15.9                        6,200

E                   17.2                        4,000

F                   13.1                         8,500

G                   16.2                        6,000

H                   17.1                         2,580

I                   17.6                          3,500

J                   14.1                         8,000

Null Hypothesis : [tex]H_0: \mu =0[/tex]

Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]

Given : SST=51956800 SSE= 7312286.84 n = 10

SSR = SST-SSE

SSR=51956800-7312286.84

SSR=44644513.16

Level of significance =[tex]\alpha = 0.05[/tex]

[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]

Where m = no. of restrictions

k = No. of independent variables

[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]

F=48.843

Degree of freedom 1 = 1

Degree of freedom 2 = 10-2=8

Using calculator

p-value is .000114.

p value < α

So, we reject the null hypothesis .

Hence There is a significant relation between weight and price

Answer:

A. Total fuel, in cubic feet, supplied by the two tankers in one trip.

Step-by-step explanation:

First option: A. Total fuel, in cubic feet, supplied by the two tankers in one trip.

Answer:

Step-by-step explanation:

two angles are said to be supplementary if their sum is 180 degrees

Hence <1 + <2 = 180

Given

<1 = 28

Required

<2

Substitute into the formula

28+<2 =180

<2 = 180-28

<2= 152

Hence the measure of <2 is 152 degrees

Answer:

20°

Step-by-step explanation:

Step 1:

4n = 80°          Vertical ∠'s

Step 2:

n = 80° ÷ 4        Divide

Answer:

n = 20°

Hope This Helps :)