Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard. What is the value of this function for f(6)?

Answers

Answer 1

Answer:

27

Step-by-step explanation:

7(6) = 42. 42-15 is 27

Answer 2

The value of this function for f(6) is 27.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard.

WE need to find the value of this function for f(6).

So, plug 6 into x

7(6)-15

42 - 15

= 27

Hence, the value of this function for f(6) is 27.

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Related Questions

If x < 0 and y > 0, where is the point located

Answers

Answer:

rwrrwrwrr

Step-by-step explanation:

wrrwrrw

Donna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 5 inches. How much paper will she​ use?

Answers

Answer:

110

Step-by-step explanation:

Dylan spends a total of $118.50 on 6 bags of popcorn and 12 drinks. Camden spends a total of $48.75 on 1 bag of popcorn and 6 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.

Answers

Answer:

The price of a drink is $7.25

Step-by-step explanation:

Let d represent the price of a drink

let p represent the price of a popcorn

6p+12d=118.50  equation 1

p+6d=48.75    equation 2

multiply both equation 1  by 2

multiply equation 2 by 4

12p+24d=237   equation 3

4p+24d=195 equation 4

subtract equation 4 from 3

8p=42

p=42/8

p=$5.25

Substitute for p in equation 1

(6*5.25 )+12d=118.50

31.5 +12d=118.50

12d=118.50-31.5 0

12d=87

d=87/12

d=$7.25

If angle AOC = 40 degrees, how many degrees is angle ABC?

Answers

80........................

Denise and Jacqueline are training for a swimming and running race.
• Jacqueline swims for 30 minutes. Then she runs 3.2 miles at a constant
pace. Her total training time is 54 minutes. • Denise swims for 24 minutes.
She runs at a constant pace of 8 minutes per mile. Her goal is to train for at
least 60 minutes. *
Part A: Write an equation or inequality to represent the pace, in minutes per mile, that Jacqueline
runs. Define all variables used. At what pace, in minutes per mile, does Jacqueline run? Show your
work. Respond in the space provided.

Answers

Answer:

Jacqueline runs at 6.25 minutes per mile

Step-by-step explanation:

Here we have that the total training time for Jacqueline = 54 minutes

The time for which Jacqueline swims = 30 minutes

Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes

Therefore the equation for Jacqueline's speed = Distance/Time we have

Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute

Therefore Jacqueline's pace = 0.16 miles/minute

The equation for Jacqueline's pace in miles/minute is presented as follows

Jacqueline's pace in miles/minute = Time of running/Distance

Jacqueline's pace in miles/minute  = 1/0.16 miles/minute = 6.25 minutes/mile.

[tex] {75}^{2} + 25 - 750[/tex]

Answers

your answer is 4900

The parks department is installing a

fence along a scenic overlook. The area

to be lenced has 3 sides measuring 4V5

feet. 3 v 5 leet, and 5V5 feet. Find the

total amount of fencing that needs to be

installed.

Answers

Answer:

60 square feet.

Step-by-step explanation:

The area to be fenced has two rectangles and one square. We add the areas of the rectangles to that of the square to obtain the total amount of fencing required.

Area of 4 × 5 feet rectangle =(4 × 5) = 20 square feet

Area of 3 × 5 feet rectangle =(3 × 5) = 15 square feet

Area of 5 × 5 feet square =(5)²  = 25 square feet

So the total amount of fencing that need to be installed is 20 + 15 + 25 square feet = 60 square feet.

Answer:

Step-by-step explanation:

Greg plans to purchase a bicycle. Bike A costs $270 and has an expected maintenance cost of $36 per year. Bike B costs $360 and has an expected maintenance cost of $20 per year. Which statement is true based on the average annual cost of each bike?

Answers

Answer:

Bike A costs $270 and has an expected maintenance cost of $36 per year."Bike A is the better choice if Greg plans on owning the bike for 5 years. Bike B is the better choice if Greg plans on owning the bike for 6 years."

Step-by-step explanation:

270-36x

there are 5 years so x=5

270 + 36(5) = 270 + 180 = 450  

If it were 6 years than x = 6

270 + 36(6) = 270 + 216 = 486

Bike B:

360 + 20x

For option b x = 5

360 + 20(5) = 360 + 100 = 460

for option b it would be 6 years than x = 6

360 + 20(6) = 360 + 120 = 480

Hope i helped!

This cost function of purchasing a bike A

[tex]\to f1(x) = 270+ 36 x[/tex] ( The unit of x is a year)  

A cost function for purchasing bike B:

[tex]\to f2(x) = 360+20x \\\\if \ \ f1(x)<f2(x)\\\\ \therefore\\\\ \to 270+36x-360+20x\ \ \ (transpose)\\\\\to 16x= 90 \\\\\to x=\frac{90}{16}=5.625\\\\[/tex]

If Greg plans to keep the bike for 5 years, Bike A is the superior option. If Greg plans to keep the bike for 6 years, Bike B is the superior option.

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Write an equation for the following:

A number increased by 6 is 22.


Answers

(the number) + 6 = 22
X + 6= 22. Plzzz mark as brainliest plzz

The diagram shows AABC.
a. What is the height of AABC7 Show your work

Answers

34 I guess hope this helps

show that 3/5 id bigger than 5/9

Answers

Step-by-step explanation:

the common denominator for these two is 45, as you have to times 5 by 9 to get this you will have to times 3 by 9 aswell so that fraction would be 27/45.

as you have to times 9 by 5 to get 45 you will have to times 5 by 5 which is 25 so that fraction would be 25/45

3/5=27/45 5/9=25/45

27 is bigger than 25

What is the sum of the interior angles of the polygon shown below?

Answers

Answer:

360

Step-by-step explanation:

Formula

Sides -2 ×180

4-2=2×180=360

A pair of shoes that originally cost $79 are on sale for 35% off. Does the expression 0.65(.79) represent the sale price of the shoes (in dollars)? explain your reasoning

Answers

Answer:

0.65(79) represents the correct sales price of the shoes (in dollars).

Step-by-step explanation:

As per question, discount offered on cost price = 35% and  

Cost Price = 79$

Calculating discount :

Discount on cost price = [tex]35\% \times 79[/tex]

[tex]\Rightarrow \dfrac{35}{100} \times 79[/tex]

Now, it is know that we have to subtract the discount from cost price to get Sale Price:

[tex]\text{Sale price = Cost price - Discount on cost price}[/tex][tex]\Rightarrow \text{Discounted price = } 79 - \dfrac{35}{100} \times 79\\\text{Taking 79 common}\\\Rightarrow 79(1-0.35)\\\Rightarrow .65(79)[/tex]

Hence 0.65(79) represents the correct sale price of the shoes in dollars.

help me please <3

place <,>, or = in the blank
17/2 ________√70

Answers

Answer:

>

Step-by-step explanation:

17/5 is 8.5 but √70 is 8.3 something that for 17/2>√70

What is the value of x in the equation

1/3x - 1/2 = 18 1/2


a. 6
b. 15
c. 54
d. 57
PLEASE HELP I HAVE 5 MIN LEFT ON MY TEST

Answers

Answer:

D 57

Step-by-step explanation:

The value of X

What is the circumference of the circle? Use 3.14 for .
r = 6.4 cm
© 20.096 cm
040.192 cm
0 200.96 cm
401.92 cm

Answers

Answer:

40.192 centimeters

Step-by-step explanation:

The circumference of a circle can be found using:

c= pi* diameter

First, we must find the diameter. The diameter of a circle is twice it’s radius.

d=2*radius

The radius of the circle is 6.4 centimeters. Substitute 6.4 for the radius.

d=2*6.4

d=12.8

Now we know the diameter. We can substitute 12.8 for diameter in the circumference equation.

c=pi*diameter

c=pi*12.8

We also know we are using 3.14 for pi, so we can substitute 3.14 for pi.

c=3.14*12.8

c=40.192

Use appropriate units: centimeters

c=40.192 centimeters

The circumference is 40.192 centimeters.

So the right answer is 40.192 cm

look at the attached picture

hope it will help you

Good luck on your assignment

Find the mean and median of following data 17, 10,3,5 and 15

Answers

Answer:

mean = 10

median = 10

Step-by-step explanation:

17, 10,3,5 and 15

Put the numbers in order from smallest to largest

,3,5 ,10 ,15,17

To find the mean add up all the numbers and divide by the number of numbers

(3+5+10+15+17)/5

50/5

10

To find the median , it is the middle number

3,5      10      15 ,17

The median is 10

I’m not sure what the answer is

Answers

Answer:24200

Step-by-step explanation:

I=PxRxT

20000x.07x3=4200

20000+4200=24200

If a right triangle is rotated around one of its legs for 360 degrees, what three dimensional shape is produced?

Answers

Answer:

The shape of a cone

Step-by-step explanation:

If we rotate the right triangle for 360 degrees around one leg, we will have a shape of a cone (a conical shape).

the leg we choose to rotate around will be the height of the cone.

The other leg will be the radius of the cone's base.

And the hypotenusa of the right triangle will be the slant height of the cone.

The ratio of the leg adjacent to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.

A. sine
B. tangent
C. cosine
D. cosecant

Answers

Answer:cosine

Step-by-step explanation:

Some

Of

Her

Children

Are

Having

Trouble

Over

Algebra

SOH/CAH/TOA

Sin opp/hype cos adj/hyp tan opp/hyp

Plz Help meee!!!

Factor the Trinomial

x^2+12x+27​

Answers

Answer:

(x + 9)(x + 3)

Step-by-step explanation:

Factor 27 so that the factors, when combined, will equal 12:

x² + 12x + 27

x                9

x                3

(x + 9)(x + 3) is your answer.

Check: Use the FOIL method. Multiply the first two terms, the outside terms, the inside terms, and then the last two terms. Combine like terms:

(x + 9)(x + 3) = x² + 3x + 9x + 27 = x² + 12x + 27 (√)

~

Answer:

(x+9)(x+3)

Step-by-step explanation:

first of all, you should learn this properly, because you'll have to go back to this over and over again. anyways

you need to find two numbers so that it adds up to 12, but also multiplies to 27.

The numbers 9 and 3 fit the situation

So you add 9x and 3x because it's the same thing as 12x. you're just splitting up the term 12x into two other terms.

so now it looks like x^2 + 9x + 3x + 27. now you factor the first two terms and last two terms

x ( x + 9 ) <---factor of first two terms

3 ( x + 9) <---factor of last two terms

x(x+9)+3(x+9)

you notice that (x+9) is common in both factorized parts

so, you add x and 3 from the outside

and you get (x +3 ) (x+9)

Helpppppppppppppp plisss

Answers

Answer:

-21 < -13

Step-by-step explanation:

Since -21 is a much smaller number than -13, we write -21 < -13. If it was 21 and 13, then the answer would be 21 > 13.

One lap around the park is 0.65 mile. Hal ran 4.5 laps. How many miles did Hal run?

Answers

Answer:

2.925 miles

Step-by-step explanation:

[tex]4.5\times 0.65=2.925[/tex] miles. Hope this helps!

Answer:

Hal ran 2.9 miles

Step-by-step explanation:

.65 × 4.5 = 2.925

It is times because he ran .65 of a mile per lap so its .65 4.5 times

Mai's younger brother tells her that 10/7 equal to 2‾√ 2 2‾√ 2 . Mai knows this can't be right, because 10/7 is rational and 2‾√ 2 2‾√ 2 is irrational. Write an explanation that Mai could use to convince her brother that 10/7 cannot be the square root of 2.

Answers

Answer:

The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.

On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.

So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).

At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.

8. Shelley and Jim sold tickets to the basketball game. Good seats were $3 each and not so good seats cost
only $2 each. 150 people attended the game and Shelley and Jim collected $350. Write the system. How
many of each type of seat did they sell?

Answers

Answer:

100 not so good seats

50 good seats

Step-by-step explanation:

Let x represent good seats and y represent not so good seats

[i] 3x + 2y = 350

[ii] x+y = 150

[iii] y = 150 - x

substitute this to equation [i]

3x + 2y = .350

3x + 2 (150-x ) = 350

3x + 300 - 2x = 350

3x-2x = 350 - 300

x = 50 good seats

now substitute what you got to equation [iii]

y = 150 - 50 = 100 not so good seats

when we check the answer by using equation [i] we find that it is correct:

3x + 2y = 350

3(50) + 2(100) = 350

150 + 200 = 350

350 = 350

What is the value of x in the equation 8 + 4 = 2(x - 1)?
a. 7
b. 5
c. 11/2
d. 13/2​

Answers

Answer:

A. 7

Step-by-step explanation:

We already know that 8+4 = 12, So now we have to find out how to make the equation equal 12.

2×6= 12, we have to find out what x will be in order to make the equation true.

2(7-1) = 2(6) = 12. Substitute the 7 for x.

x = 7

Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1.2 inches. What percentage of goldfish will have lengths between 4.6 inches and 9.4 inches?

Answers

Answer:

94% so C

Step-by-step explanation:

I did the assignment

Hope it helps

Answer:

95%

Step-by-step explanation:

Edge 2020

Express
as a unit rate.

Betty drives her car 150 km in 2 h. Explain

Answers

Answer:

75 km per hour

Step-by-step explanation:

[tex]\frac{150km}{2hr}[/tex] divided by two is [tex]\frac{75km}{1hr}[/tex].

Carl surveyed his classmates about their favorite colors. The graph shows the survey results. A circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green. Which statements about the circle graph are correct? Check all that apply.

25% of the students said blue was their favorite color.
33% of the students said green was their favorite color.
25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
66% of the students said either orange or blue was their favorite color.

Answers

Answer: 25% of the students said orange was their favorite color.

50% of the students said either green or orange was their favorite color.

Step-by-step explanation:

The statements about the circle graph are correct;

C. 25% of the students said orange was their favorite color.

D. 50% of the students said either green or orange was their favorite color.

What is a circle?

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Given that circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green.

In total, there are 100 students.

50 %is blue,

25 %is orange,

25 %is green.

Therefore,  25% of the students said orange was their favorite color and 50% of the students said either green or orange was their favorite color.

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Factor the following polynomial:
5x(a - b) – 2y(a - b)

Answers

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

5x(a - b) – 2y(a - b) =

The factors in parentheses (shown in bold) are a common factor.

Factor (a - b) out from both terms.

= (a - b)(5x - 2y)

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