If f(x) = 2x and g(x) = 5x + 2, what is (f – g)(x) when x = 3

Answers

Answer 1

Answer:

[tex]f - g = \\ 2x - (5x + 2) = \\ 2x - 5x - 2 = \\ - 3x - 2 = \\ - 3 \times 3 - 2 = \\ - 9 - 2 = - 11[/tex]


Related Questions

HELPPP ASAP!!!!!!!!!!

Answers

Answer:

In the before the ice the particles would be disorganized while in the after ice drawing the particles should be drawn closer and a bit more organized.

The first section (before ice) shows more thermal energy.

23x1290801 PLS ANSWERRR

Answers

The answer is 29688423

Answer:

29688423

Step-by-step explanation:

Hope this helps! Thanks.

The price of a stock went up by $1.20 on Monday, down by $2.30 on Tuesday, down by $1.00 on Wednesday, down by 1.80 on Thursday, and up by $.40 on Friday. What is the mean change of the stock price for those 5 days

Answers

Answer:

The mean change of the stock price of those 5 days is $1.34.

Step-by-step explanation:

First let's list the differences then find the mean.

1.20, 2.30, 1.00, 1.80, 0.40

Now we add up all of the numbers and divide by how many numbers there are.

Mean = 1.34

The mean change of the stock price of those 5 days is $1.34.

The stock cost changes summed to -$3.50. Partitioning by 5 days gives the Mean change of -$0.70 for the period.

What is the mean change of the stock price for those 5 days?

To discover the mean change in the stock cost over those 5 days, you would like to calculate the overall alter in cost and after that isolate it by the number of days.

Given cost changes:

Monday: +$1.20

Tuesday: -$2.30

Wednesday: -$1.00

Thursday: -$1.80

Friday: (+$0.40)

Total change = (+$1.20 + -$2.30 + -$1.00 + -$1.80 + +$0.40)

Total change = -$3.50

Number of days = 5

Mean change = Add up to alter / Number of days

Mean change = -$3.50 / 5

Mean change = -$0.70

So, the Mean change of the stock cost over those 5 days is -$0.70.

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someone help please!!

Answers

Answer:

112

Step-by-step explanation:

You need to find the values of the other two angles they add up to 180 180-44=136 then divide it by 2 to get 68 then do 180-68 to get 112 all horizontal lines add up to 180 as well

Graph the line with -intercept -5 and slope 1/3 .

Answers

Answer:

(assuming the y-intercept is -5) Check the graph below the explanation.

Step-by-step explanation:

1. The y-intercept of -5 means that the line intersects with the y-axis at (0,-5).

2. The slope 1/3 means that for every point, you rise up by 1 and run 3.

use desmos for graph. the equation is:

y=1/3x-5

PLEASE HELP
will mark as brainliest!!!!

Answers

The correct equation is f(x)=x+41

The linear equation has a slope of 1 and an y intercept of 41.
To Make sure the equation is true we can plug x=5 into the equation to get 46 for the y value. The equation is correct because 5,46 is a solution to the equation and it is a point on the line.

Several members of a running club would like to survey the rest of the members to determine which 5K races the
club should enter. They decide to sample 10 of the 78 members and have them fill out a survey about the races.
Which of the following procedures would produce a simple random sample?
O Give each member a unique number from 01 to 78. Use a random number table and select the first 10 numbers
between 01 and 78. Survey these members about their race preference
O Give each member a unique number from 01 to 78. Use a random number table and select the first 10 two-digit
numbers between 01 and 78. Survey these members about their race preference
Give each member a unique number from 01 to 78. Use a random number table and select 10 unique two-digit
numbers between 01 and 78. Survey these members about their race preference
O Give each member a random number from 01 to 78. Use a random number table and select 10 unique two-digit
numbers between 01 and 78. Survey thesdlumembers about their race preference.

Answers

Answer:

C). Give each member a unique number from 01 to 78. Use a random number table and select 10 unique two-digit numbers between 01 and 78. Survey these members about their race preference.

Step-by-step explanation:

5
5
A function f (x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?

Answers

Answer:

y= 2x + 1

Step-by-step explanation:

Given the point (0,1) and (1,3)

You can use the slope formula to get the slope.

y2-y1/x2-x1

3-1/1-0 = 2/1 = 2

Slope = 2

Now rewrite into point-slope formula

y-3=2(x-1)

Distribute

y-3= 2x -2

Add 3 to both sides

y= 2x + 1

Nicole deposited $5000 into an account with a 2.4% annual interest rate, compounded monthly. Assuming that no withdrawals are made, how long will it take for the investment to grow to $6500? Do not round any intermediate computations, and round your answer to the nearest hundredth. If necessary, refer to the list of financial formulas. years X - ?​

Answers

Answer:

10.94 years

Step-by-step explanation:

We're gonna use the compound interest formula: P = A(1 + r/n)ⁿˣ

P = Final amount (6500)

A = Starting amouint (5000)

r = rate (0.024)

n = number of times applied (12)

x = number of years

6500 = 5000(1 + 0.024/12)¹²ˣ

First, divide both sides by 5000

(1 + 0.024/12)¹²ˣ = 6500/5000 = 1.3

Then solve the equation inside the parenthesis

1.002¹²ˣ = 1.3

Take log₁.₀₀₂ from both sides

12x = log₁.₀₀₂(1.3)

12x = 131.3133

Finally divide both sides by 12

12x/12 = 131.3133/12

x = 10.942775

zack borrowed some money from his parents to buy a cell phone his purchase and plan to repay his parents, is shown on the graph below. determine the intercepts and explain what each intercept means

Answers

Answer:

where is the graph?

Step-by-step explanation:

how do you expect people to answer your question if the entire question is based on the graph

Hello there

I'm looking for some help here thanks. giving brainliest if able to.

If 2 out of 5 people prefer Columbia brand coats to REI brand coats, in a group of 45 friends how many prefer Columbia brand coats?

Answers

Answer:

16

Step-by-step explanation:

2/5 want to go

45 / 5 = 8

8 * 2 = 16

16 people prefer Colubmia

(I answered another one of your questions with the same concept, so this is very similar to that!)

If it’s 9:04pm what time would it be 5 hours and 18 mins from then

Answers

Answer:

12 : 22

Step-by-step explanation:

Step-by-step explanation:

3:00 hours and 26 second

Maria is training for a triathlon. Yesterday, she rode her bike for eight and two-thirds miles in two-thirds of an hour. If Maria continues to rides at the same rate, how far will she ride in one hour? help plzz

Answers

(8 2/3) / (2/3) = x / 1....8 2/3 miles to 2/3 hr = x miles to 1 hr
cross multiply
(2/3)(x) = (8 2/3)(1)
2/3x = 26/3
x = 26/3 * 3/2
x = 26/2...which equals 13....she will ride 13 miles in 1 hr

Maria's rate is 13 miles per hour. If she continues to ride at the same rate, she will ride 13 miles in one hour.

We have,

Maria's rate can be calculated by dividing the distance she rode by the time she took.

Rate = Distance / Time

Yesterday, she rode 8 and two-thirds miles in two-thirds of an hour:

Rate = (8 + 2/3) miles / (2/3) hour

First, let's convert the mixed number (8 + 2/3) to an improper fraction:

8 + 2/3 = (8 * 3 + 2) / 3 = 26/3

Now, plug in the values:

Rate = (26/3) miles / (2/3) hour

When you divide fractions, you can multiply the first fraction by the reciprocal of the second fraction:

Rate = (26/3) * (3/2) miles/hour

Rate = (26/2) miles/hour

Rate = 13 miles/hour

Thus,

Maria's rate is 13 miles per hour. If she continues to ride at the same rate, she will ride 13 miles in one hour.

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Addison and Kelsey are running on a path modeled by x2 + y2 - 12x – 8y – 309 = 0, where the distance is in meters. What is the maximum distance between thi
runners at any given time?

Answers

Answer:

It is 38 meters!!!!!!

Step-by-step explanation:

The maximum distance between the runners at any given time is 38 meters.

What is general form of equation of a circle?

"The general form of equation of circle is [tex]x^2 + y^2 + 2gx + 2fy + c = 0[/tex]."

here center = (-g, -f) and radius = [tex]\sqrt{g^{2} +f^{2} -c}[/tex]

What is the equation of circle?

The equation of the circle with center (h, k) and radius 'r' is, [tex](x-h)^2 + (y-k)^2 = r^2[/tex]

For given question,

Addison and Kelsey are running on a path modeled by [tex]x^2 + y^2 - 12x - 8y - 309 = 0[/tex]

This means, they are running on a circular path.

By completing the squares, the equation is:

[tex]\Rightarrow x^2 -12x + 36+ y^2 - 8y +16 = 309 + 36+16\\\\\Rightarrow (x-6)^2+(y-4)^2=361\\\\\Rightarrow (x-6)^2+(y-4)^2=19^2[/tex]

This equation represents the circle with center (6, 4) and radius = 19

The maximum distance between the runners is the diameter of the circle.

diameter = 2 × radius

diameter = 2 × 19

diameter = 38 meters

Therefore, the maximum distance between the runners at any given time is 38 meters.

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Good morning everyone! Can someone Help me as soon as possible if can!

Answers

Answer:

D

Step-by-step explanation:

А
B
D
С
Trail
2.6
1.8
42
Length (mi)
Processes
9. &Practices Model Math The
table shows the lengths of four trails
at a horseback riding camp. The
estimated length of all four trails is
12 miles. Find a possible length for
trail D. She vyeur work.




Plz help me I need help 20 points if u do

Answers

Answer: the answer is 3.3

Step-by-step explanation: because 3 + 2 + 4 + 3 = 12 miles

x a a a
[ a x a a ] =?
a a x a

Answers

Answer:

nyee he he he

Step-by-step explanation:

heh

paps undertale

7(-2x + 5) = 28
Pls help me guys

Answers

Answer:

x equals 1/2

or x equals 0.5

Answer:

ur answer is right

Step-by-step explanation:

7(-2x+5)=28

7(3x)=28

umyea

need help on algebra ii question

Answers

Answer:

≈ 6 seconds

Step-by-step explanation:

When it says about hitting the ground, it means it hits the t-axis.

That means we have to solve for t-intercepts to find the solution.

Finding t-intercept, let y = 0.

[tex] \displaystyle \large{0 = - 16 {t}^{2} + 96t + 3}[/tex]

Use the Quadratic Formula.

[tex] \displaystyle \large{t = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

Substitute in a = -16, b = 96 and c = 3.

[tex] \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ {96}^{2} - 4( - 16)(3)} }{2( - 16)} } \\ \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ 9216 + 192} }{ - 32} } \\ \displaystyle \large{t = \frac{ - 96 \pm \sqrt{ 9408} }{ - 32} } \\ \displaystyle \large{t = \frac{ - 96 \pm 56 \sqrt{3} }{ - 32} } \\ [/tex]

Then simplify to simplest form.

[tex] \displaystyle \large{t = \frac{ - 96 \pm 56 \sqrt{3} }{ - 32} } \\ \displaystyle \large{t = \frac{ 12\pm 7\sqrt{3} }{ 4} } \\ [/tex]

Then use the highest value/root which is 12+7√3 over 4 then input it in a calculator and you will see that the highest root is close to 6.

We use the highest root because thats when y or height = 0 hence if height = 0 then the object finally hits the ground.

Pls help I’ll brainlest ASAP and add extra points

Answers

Answer:

1. A

2. B

3. A

4. his conclusion should be the juice made group A do less stacks than B

5. give the juice do group B and see if the result changes

Step-by-step explanation:

P.S. = the group A underperfomance actually had nothing to do with the juice, it was because Homer was in this group, lol (JK)

Explanation (2)

•The independent variable is the variable or the thing that the scientist/creator changes.

•the dependent variable is what we measure at the end and it depends on the independent.

•Controlled group/variable is the thing that should be constant in order to have an accurate results and it never changes even if anything changes in the experiment.

Answers:

1. Controlled: Number of stacks of paper

Amount of time

Amount of juice

Number of workers

2. Independent: Amount of juice given to workers

3. Dependent: Number of stacks at the end

•Explanation that helps with your conclution: The juice has nothing to do with how much stacks the workers finish. It depends on how each worker is handled to do their work even when on pressure, also. The juice may be a distraction to the workers because they drink it while working so they're consuming their energy without the help of the juice. Lastly, maybe some of the workers didn't drink the same amount of juice while working on finishing the stacks.

4. CONCLUSION: Group B had much higher results than Group A in 24% Even though they didn't drink the juice. Shows that workers do their job more efficiently and faster when their not distracted while working.

5. (a) Smith should make sure that the 50 workers drink the same amount of juice before they start their work and also make sure that both groups start doing their task at the same time and finish at the same time, for accurate changes.

(b) As Felipe said: try to give the juice to group B and see the result change.

(c) Do the experiment many times to see how long does the juice keep the workers productive while working, by the results change.

!!!!!(CHOOSE ANY ANSWER FROM Q5)!!!!!

Hope this helps, this took me forever.

Find the slope of the line that passes through two given points.

1. (-2, -1) and (-4, -7)
2. (-5, 7) and 3, -1)
3. (-3, 4) and (-3, -8)
4. (10, 9) and (-8, 9)

PLS SHOW WORK I'M GIVING YOU 85 POINTS!!!

Answers

In above graf You will get your answer

line which I have made with pencile that mean they are on one line,

What is 2803 x 406?

Answers

Answer:

1138018

Step-by-step explanation:

Debbie has $200 in a savings account that earns 5% interest per year. The interest is not
compounded. How much interest will she earn in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.
Submit

Answers

Answer/Step-by-step explanation:

I = p (1 + r)^t

Interest = 210

Principal = 200

Rate = 1 + 0.05

Time = 1 year

210 = 200 (1.05)^1

Answer:

Answer/Step-by-step explanation:

I = p (1 + r)^t

Interest = 210

Principal = 200

Rate = 1 + 0.05

Time = 1 year

210 = 200 (1.05)^1

Step-by-step explanation:

Surface area of 56,14, and 16

Answers

Answer:

328

Step-by-step explanation:

Just try it

The perimeter of a rectangle is 44 inches. If the length is 1 more than twice the width, what is the length and width?

Only algebraic solution is accepted

Answers

Answer:

The width is 7 inches, the length is 15 inches

Step-by-step explanation:

If the width is x inches, then the length is 2x+1 inches. Since the perimeter of a rectangle is 2 times the width plus 2 times the length, the perimeter will be 2x+2(2x+1), which simplifies to 6x+2. Since the perimeter is 44 inches, we get the equation 6x+2=44, which makes x=7. So, the width is 7 and the length is 15.

The length of a rectangle is
4 meters less than 2 times the width. The perimeter is 22 meters. Find the width.

Answers

Answer:

5 meters

Step-by-step explanation:

We should derive an equation to solve this problem.

Let's assign x to width and y to length.

[tex]2x-4=y[/tex]

and

[tex]2x+2y=22[/tex]

so

[tex]2x+2(2x-4)=22[/tex]

[tex]2x+4x-8=22[/tex]

[tex]6x-8=22[/tex]

[tex]6x=30[/tex]

[tex]x=5[/tex]

Width = 5 meters

Please helpppp I don’t know how to do

Answers

The answer is 4.60977222865 rounded to however much it asks you to round.

We are given:
x (-4, 3)
y (2, -1.5)
z (4, -1)
A (3, 3)

And we are trying to find the hypotenuse of triangle YZA because that’s what the line from “point A to XZ” is.

The Pythagorean Theorem is a^2 + b^2 = c^2

We can use it to find the distance between any two points. If we imagine 2 more lines, one going straight down from the higher point, and the other one going horizontally from the lower point until it meets the vertical line. We have another triangle.

The length of the horizontal segment of a triangle is just the difference of. the x values. And the length of the vertical segment is just the difference of their y values.

So we have
(x2 - x1)^2 + (y2 - y1)^2 = c^2

Simplified:
sqrt((x2 - x1)^2 + (y2 - y1)^2) = c

Segment YZ =
sqrt((x2 - x1)^2 + (y2 - y1)^2) = c
sqrt((4 - 2)^2 + (-1 - -1.5)^2) = c
sqrt(4 + .25) = c
sqrt(4.25) = c
2.06155281281 = c

The length of YZ is 2.06155281281.

Now we need to know segment ZA.
Segment ZA =
sqrt((x2 - x1)^2 + (y2 - y1)^2) = c
sqrt((3 - 4)^2 + (3 - -1)^2) = c
sqrt(1 + 16) = c
sqrt(17) = c
4.12310562562 = c

The length of segment ZA is 4.12310562562.

Finally:
AZ^2 = YZ^2 + ZA^2

AZ^2 = (2.06155281281)^2 + (4.12310562562)^2

AZ^2 = 4.25 + 17

AZ^2 = 21.25

AZ = sqrt(21.25)

AZ = 4.60977222865

Set up a proportion and solve each problem. Round each answer to the nearest tenths. 5) What is 35% of 74? 6) 78 is what percent of 95? 7) Find what% of 54 is 6. 8) 28 is 60% of what number?​

Answers

Answer:

5)  35 / 100 = X / 74      X = 2590 / 100 = 25.9

or .35 * 74 = 25.9

6) 78 / 95 = X * 100

X = 7800 / 95 = 82.1 %

or X = 78/95 * 100 = 82.1 %

7)  60/100 * X = 28

X = 2800 / 60 = 46.7

Or .6 * X = 28

X = .28 / .6 = 46.7

Which of the following is the range of the function based on the input-output
table below?
Pay
Hours
of training
10
20
per month
1000
30
1100
1200
1300
1400
40
50
60
1500
1600
70
A. {10, 1000, 20, 1100, 30, 1200}
B. {70, 1600, 60, 1500, 50, 1400, 40, 1300)
Ο Ο
C. {1000, 1100, 1200, 1300, 1400, 1500, 1600}
O D. {10, 20, 30, 40, 50, 60, 70}
0.13 S

Answers

Answer:
C) {1000, 1100, 1200, 1300, 1400, 1500, 1600}

Step-by-step explanation:
Domain is the set of x values (input)
and
Range is the set of y values (output)
In this case, y = pay per month
so Range = {1000, 1100, 1200, 1300, 1400, 1500, 1600}

Option C is correct, {1000, 1100, 1200, 1300, 1400, 1500, 1600} is the range of the given function.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The set of all possible values which qualify as inputs to a function is known as the domain of the function, or it can also be defined as the entire set of values possible for independent variables.

The set of all the outputs of a function is known as the range of the function or after substituting the domain, the entire set of all values possible as outcomes of the dependent variable.

The codomain is the set of all possible values which can come out as a result but the range is the set of values which actually comes out.

{1000, 1100, 1200, 1300, 1400, 1500, 1600} is the range of the given function.

Hence, Option C is correct, {1000, 1100, 1200, 1300, 1400, 1500, 1600} is the range of the given function.

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Which ordered pairs is a solution to −5x + 3y > 12?
(3, 9)


(-5, 5)


(3, -6)


(-2, -5)


(2, 8)


(-6, 0)

Answers

Answer :-

Given inequality ,

-5x +3y > 12 3y > 5x + 12 y > 5/3x + 12/3y > 5/3x + 4

From the options ,

When x is 3 and y = 9

y >1* 5 + 4y > 5 +4 9> 9 ( Not possible )

When x is -5 y is 5

y > 5/3*-5 + 4y > -8.3 + 4 5 > -3.7 ( Possible )

When x is 3 y is -6

y > 5 + 4 -6 > 9 ( Not possible )

When x is -2 y is -5

y > -3.33 + 4 -5 > -0.67 ( Possible )

When x is 2 y is 8

y > 3.33 + 4 8 > 7.77 ( possible )

When x is -6 y is 0

y > -10 +4 0 > -6 ( possible )
Given the inequality statement, -5x + 3y > 12

We’ll substitute the given points to determine which is a solution that satisfies the inequality:

(3, 9):
-5(3) + 3(9) > 12
-15 + 27 > 12
12 > 12 (False statement, as 12 ≯ 12)


(-5, 5):

-5x + 3y > 12

-5(-5) + 3(5) > 12

25 + 15 > 12

40 > 12 (True statement). Thus, it is a solution.


(3, -6)
-5(3) + 3(-6) > 12
-15 - 18 > 12
-33 > 12 (False statement. -33 ≯ 12).


(-2, -5)
-5(-2) + 3(-5) > 12
10 - 15 > 12
-5 > 12 (False statement. -5 ≯ 12).

Therefore, the only solution is (-5, 5).

Please mark my answer as the Brainliest, if you find my explanations/solution helpful :)

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