A function multiplies its input by 3/4 then adds 7 to get its output. Use function notation to represent this function.


f(x)=_____

Answers

Answer 1

In function notation, the function is represented as f(x) = (3/4)x + 7.

In function notation, the function is represented by the letter "f" followed by the input value inside parentheses. The input value is typically represented by the letter "x". In this case, the function takes "x" as its input and performs the operation of multiplying it by 3/4 and then adding 7 to get the output. We can represent this function using the equation f(x) = (3/4)x + 7.

It's worth noting that the function notation is a way to express a mathematical relationship between two variables, the input variable (x) and the output variable (f(x)), in which every input value of x corresponds to exactly one output value. This equation represents the same function regardless of the input value, and it can be used to find the output for any input value by simply substituting it in the equation.

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Related Questions

What is the radius and diameter of the following circle?

Answers

Answer:

Diamter is 14 and radius is 7

Step-by-step explanation:

May I have barinliest answer please?

Derrick cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 51 inches.

Answers

Answer:

17 inches

Step-by-step explanation:

Given

[tex]P = 51[/tex] --- Perimeter of rectangle

Required

The length of the original square

The perimeter is calculated as

[tex]51 = 2(L + W)[/tex]

Divide by 2

[tex]25.5 = L + W[/tex]

The rectangle and the square have the same length.

So:

[tex]L = 2W[/tex]

[tex]25.5 = L + W[/tex] becomes

[tex]25.5 = 2W + W[/tex]

[tex]25.5 = 3W[/tex]

Divide both sides by 3

[tex]W = 8.5[/tex]

Recall that:

[tex]L = 2W[/tex]

[tex]L = 2 * 8.5[/tex]

[tex]L = 17[/tex]

lines a and b are parallel. which angles is congruent to angle? 4

Answers

Answer:

ANGLE 5 IS CONGURENT TO ANGLE 4

PLEASE MARK BRAINLIEST

1. r-h=rh
make r the subject and show the steps plz
2. V= pir^2h
make r the subject and show the steps plz

Answers

Answer:

1. N/A

2. √V/pi*h= r

Step-by-step explanation:

1. when you try to get r on one side, the r's cancel out

2. V/pi*h= r^2

√V/pi*h= r

Which expression is equivalent to 4 - 10 (9m – 7:)

0-3 - 90m

O 42 – 54m

O 74 - 90m

O-7 - 54m

Answers

The correct choice will be 74 - 90m

what is 629 divided by 8

Answers

Answer:

78.625

Step-by-step explanation:

629 / 8 =  78.625

Answer:

629/8=78.625

OR

[tex]\frac{629}{8}=78\frac{5}{8}[/tex]

find asymptotes for y=x^3 + 3^x​

Answers

Answer:

No asymptotes

Step-by-step explanation:

The equation provided does not have any asymptotes. Neither for the y-axis or x-axis. It instead goes towards infinity endlessly. Meanining that there is no value that is equal to zero in this equation. The graph below shows the equation graphed, but could not be zoomed out because the equation is endless.

Evelyn gave a $3 tip to the person delivering her $15 pizza. What percent of the cost of the pizza was the tip that she paid?

Answers

The answer is .20 or 20 percent. Here is why, percents can be flipped so you can say “what is 3 percent of 15”. Well that would be 3*100=300/15 which gives you 20 and therefore you can say 0.20. Now to check your answer do 15 times 0.20 or 15 times 20 percent you will get three. Hopefully this helps!

I want to know why D is the correct answer

Answers

Answer:

Cause it is

Step-by-step explanation:

ya know?

Answer:

It's B

Step-by-step explanation:

To find the surface area of a pyramid, you'll multiply L*W*H/3

810 divided by 3 is 405

Answer the following as the website for my hwk says I am incorrect:

a) 6/24 as its simplest form (I put 1/4)
b) 52.491 to 2 decimal places (I put 52.49)
c)how many 0.125m drinking straws are needed for a bridge which is 0.85m long (I put both 6.8 and 7)
d) 756.985 × 45 - 14.325 ( I put 34,050)

Answers

a) 1/4
b) 52.49
c) 7
d) 34,050

True or false? The graph represents a function.

Answers

Answer:

true :)

Step-by-step explanation:

answer is true ! graph shows a function

How does the value of a number change when you divide by 10 100 1000?

Answers

Answer: It gets smaller

Step-by-step explanation: When you divide something by anything, the place value of the digits decreases. The digits move to the right since the number gets smaller, but remember, the decimal point does not move.

put this equation in Slope-Intercept form
Y + 2 = -5 ( X + 3 )

Answers

Answer: y=-5x-17

Step-by-step explanation:

Slope-intercept form follows the formula y-mx+b, where m is slope and b is y-intercept. All we have to do is to manipulate the equation to look like y=mx+b.

[tex]y+2=-5(x+3)[/tex]              [distribute right side]

[tex]y+2=-5x-15[/tex]               [subtract both sides by 2]

[tex]y=-5x-17[/tex]

Now, our equation matches y=mx+b with m=-5 and b=-17.

What is the value of 5 + 5.3^4?
810
410
O65
120

Answers

Therefore , the solution of the given problem of expression comes out to be 794.0481.

Describe expression.

combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.

• 3 x/2 variable  is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.

Here,

Given : 5 + [tex](5.3)^{4}[/tex]

=> 5 + (5.3)*(5.3)*(5.3)*(5.3)

=> 789.0481 + 5

=> 794.0481

Therefore , the solution of the given problem of expression comes out to be 794.0481.

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4cm multiplies 3 whole 1/2

Answers

The answer is 6. I calculated it

WILL MARK BRANLIEST

Question 2 of 5 | Page 2 of
Question 2 (1 point)
The table shows the depth of water in a pond as it is being filled.

What is the average rate of change, in meters per minute, of the depth of the
water in the pond, between t = 2 and t = 5? Round your answer to the nearest
hundredth.

Answers

Answer:

0.47metres per minute

Step-by-step explanation:

you would minus t 5 from 3 which would be 1.34- 0.87 which equals 0.47

During January 2012, 50 000 new vehicles were sold in Ontario. About 20% of these were leased. How many vehicles were leased?

Answers

Answer:

10,000 vehicles.

Step-by-step explanation:

20 percent of 50,000 is 10,000.

what's the equation of a line in slope-intercept form of a line that has a slope of -6 and contains (3,-4)
HELP ME PLEASE!!!!!!

Answers

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 6}(x-\stackrel{x_1}{3}) \implies y +4= -6 (x -3) \\\\\\ y+4=-6x+18\implies {\Large \begin{array}{llll} y=-6x+14 \end{array}}[/tex]

Find the surface area of the pyramid. Correct answer will be marked brainliest!!!!

Answers

Answer:

178.3 mm²

Explanation:

The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()

Please help me on this

Answers

Answer:

12. C

13. B

14. B

Step-by-step explanation:

12 - length of ramp = hypotenuse

given the angle 20, we have hypotenuse and opposite, so we use sin

sin 20* = 10/r

13- tan 46 = x/11, x = 11(tan46) = 11.4

14- cos 46 = 12/x = 17.3

What would the approximate amperage setting be if a welder were set to the high range (150 to 350 amps) and the fine adjustment knob were painting at 5 on a 10 point scale

Answers

On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.

What is range?

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

here,

the approximate amperage setting be if a welder were set to the high range would be 350 amps

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7.4 1; 2; 4; 7; 11; 16; 22;
Describe this pattern:​

Answers

Answer:

minus 3 plus 1 plus 2 plus 3 plus 5

Step-by-step explanation:

A 7th-grade class has 14 girls and 10 boys. An 8th-grade class has 11 girls and 13 boys. What is the probability of picking a student from each class and having them both be girls? (Write answer as simplified fraction)

Answers

Answer:

14>10   11<13

Step-by-step explanation:

Where is the x-intercept in a quadratic formula?

Answers

The x-intercept in a quadratic formula is where the graph of the function crosses the x-axis.

An x-intercept is a point on the graph of a function where the y-coordinate is equal to zero. In other words, it's a point on the graph where the function intersects the x-axis. The x-intercepts of a quadratic formula can be found by setting the y-value equal to zero and solving for x.

The quadratic formula is typically in the form of ax^2 + bx + c =0, thus by setting y=0 we get x = -b/2a and x = -b/2a, these are the x-intercepts where the graph of the function will cross the x-axis. The x-intercepts are also known as the roots or zeroes of the function, and are important for understanding the overall shape of the graph.

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please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

sin w = 15/17

Step-by-step explanation:

sin w = opp/hyp

opp of W is VX = 15

hyp is the longest = 17

sin w = 15/17

Answer:  15/17

=========================================================

Explanation:

A drawing may help. See the image below.

Angle X is the 90 degree angle, so angles W and W are the acute angles of right triangle VWX.

The reference angle here is W. Since this is the reference angle, the side opposite angle W is VX = 15. We simply call this "opposite".

The hypotenuse is always opposite the 90 degree angle. This is true no matter what acute reference angle you pick. Since X = 90, this makes WV = 17 the opposite side. Also, the hypotenuse is always the longest side.

The sine of an angle is the ratio of the opposite and hypotenuse

sin(angle) = opposite/hypotenuse

sin(W) = VX/WV

sin(W) = 15/17

Side note: The side XW = 8 isn't used at all. If you wanted to compute cos(W) or tan(W), then you would use side XW.

i need hlep with this q

Answers

The slope of the line is 40 if the points are joined.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

given:

Take two points from the graph as (2, 80) and (4, 160)

Then, the slope of line is

slope, m = ( 160- 80) / ( 4- 2)

slope, m = 80 /2

slope , m = 40

Hence, the slope is 40.

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Find the value of x.

Answers

Answer:

60°

Step-by-step explanation:

as they are a linear pair

120°+x=180

x=180-120

x=60°

Please hurry!
Which best describes the relationship between the two triangles below?
Triangle M N L. Angle M is 51 degrees and angle L is 36 degrees. Triangle F H G. Angle F is 51 degrees and angle G is 36 degrees.
Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the third angle is unknown.
Triangle M L N is similar to Triangle F G H because of the angle-angle criterion, Angle M is similar to angle F, Angle L is similar to angle G, and Angle N is similar to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the side lengths are unknown.

Answers

Answer:

Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Step-by-step explanation:

Triangles are similar if all of the angles are congruent and corresponding to the other triangle and the sides are proportionate. It is important to note that if the angles are congruent then the sides must be proportionate; so, the side lengths are not necessary. Additionally, the third angle theorem states that if two known angles are congruent then the third angles must also be congruent. So, the two triangles must be similar because all of the angles are congruent to their corresponding angles.

This year, there was 40% more snow than last year. The amount of snow this year is 140% of the amount of snow last year.




1. This year, there were 25% fewer sunny days than last year. The number of sunny days this year is (BLANK)% of the number of sunny days last year.


2. Compared to last month, there was a 50% increase in the number of houses sold this month. The number of houses sold this month is (BLANK)% of the number of houses sold last month.


3. The runner’s time to complete the marathon was 10% less than the time to complete the last marathon. The runner's time to complete the marathon was (BLANK)% of the time to complete the last marathon.

PLEASE FILL IN THE BLANKS. This is in fact the full question

Answers

Answer:

75%150%90%

Step-by-step explanation:

You want the percentage multiplier associated with the following changes:

25% decrease50% increase10% decrease

Multiplier

To find the multiplier, add 1 to the change. When you want the multiplier in percent, then add 100% to the change expressed as a percent. (1 = 100%)

1. 25% fewer

  100% -25% = 75% . . . . of last year

2. 50% increase

  100% +50% = 150% . . . . of sales last month

3. 10% less

  100% -10% = 90% . . . . of last marathon's time

A university just acquired more land which is shown by the triangle in the diagram. What is the area of the land that the university just aquired?

Answers

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

Define area.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Area = length x breadth.

Here,

Given : A triangle land which has

height = 2miles

and base = 1.5+ 1.5 = 3 miles

Thus,

To find the area of triangle :

=> Area = 1/2*b*h

=>Area = 3*2/2

=> Area = 3 miles square

Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.

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