If f(x) is a linear function such that f(2)= 5 and f(4) = 13, f(x) = ?

A) 3x - 4
B) 4x - 3
C) 4x + 3
D) 1/4x + 9/2

Answers

Answer 1

Answer: you are on your own.

Step-by-step explanation:

Answer 2

The equation of the linear function f(x) is f(x) = 4x - 3. So, the answer is B) 4x - 3.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
We can use the two given data points to determine the equation of the linear function f(x) using the slope-intercept form:

f(x) = mx + b

where m is the slope and b is the y-intercept.

First, we can find the slope of the function by using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (2, 5) and (x₂, y₂) = (4, 13)

m = (13 - 5) / (4 - 2) = 4

Now we can use the slope and one of the given points to solve for the y-intercept:

5 = 4(2) + b

b = -3

Therefore, the equation of the linear function f(x) is f(x) = 4x - 3.

Learn more about function here:

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Related Questions

Kara is mixing paint. Each batch has twice as much blue paint as well as yellow paint. Plot points to represent the amount of blue and yellow paint used in three different sized batches.

Answers

(b, y) twice as much blue as yellow

(2, 1)

(4, 2)

(6, 3)

7.3 reteaching with practice 415-420

Answers

Answer:

Eu não entendi, porque se for pergunta de matemática, 415-420 dá um numero negativo que seria -5

Step-by-step explanation:

pense em 420 e tire 415 , simples

Answer:

He is right

Step-by-step explanation:

15. What effect does reducing sample size have on s?
standard deviation and margin of error?

Answers

Step-by-step explanation:

I don't know I don't know this answer really I don't know this and so sorry sorry sorry sorry

The blue dot is at what value on the number line? -3 -1

Answers

Answer:

+2

Step-by-step explanation:

I need help with 20.

Answers

Step-by-step explanation:

why ? you did it right there already.

the numerator is the top part of the fraction, the "counting" part (how many units of a certain type or size are there).

the denominator (the bottom part) is defining the type or size of units described by the fraction.

so, we are adding 4 to the numerator of 2/5, making it (2+4)/5 = 6/5

what do we need to add to the denominator (the bottom part) to make the fraction have the value of 1/2 ?

so, what x would make 6/x = 1/2 ?

6 = x/2

x = 6×2 = 12

so, we need to get 12 in the denominator, where we have currently 5.

therefore, we need to add 12-5 = 7 to it.

so that

6/(5+7) = 6/12 = 1/2

You have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision. / 100 points if you answer and ill give you brianliest and 5 stars\

Answers

L=2cmB=1-1/4=5/4cmH=3cm

So

Volume:-

[tex]\\ \rm\rightarrowtail LBH[/tex]

[tex]\\ \rm\rightarrowtail 2(5/4)(3)[/tex]

[tex]\\ \rm\rightarrowtail 5/2(3)[/tex]

[tex]\\ \rm\rightarrowtail 15/2[/tex]

[tex]\\ \rm\rightarrowtail 7.5cm^3[/tex]

pls help me to answer this​

Answers

Answers:

T-shirt = $25

Shorts = $15

Books = $50

Shoes = $30

Cell phones = $750

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

Explanation:

Taking 10% of a number is simply moving the decimal point over one spot to the left.

For example, the selling price of a t-shirt is $250.00 and taking 10% of this gets us to $25.00

As another example, 10% of 150.0 is 15.0

If a whole number ends with a 0, then taking 10% of the number means we chop that zero off.

In a group of 50 patrons, 14 patrons like lattes and espressos, 11 patrons like
espressos and cappuccinos, 7 patrons like lattes and cappuccinos, and 3
patrons like all 3 coffee drinks. Altogether, 22 patrons like lattes, 30 patrons
like espressos, and 23 patrons like cappuccinos. How many patrons don't like
any of these coffee drinks?

Answers

Answer:

B

Step-by-step explanation:

This problem can be solved using a venn diagram! Just draw bubbles and the common numbers! I attached an image below!

With these numbers we can see how many there are in common. By subtracting the common numbers we get that there are 4 that don't like any. So the answer is B.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

C -- 6 3/4

Step-by-step explanation:

4 + 2 = 6

5/8 + 1/8 = 6/8

6 divided by 2 = 3

8 divided by 2 = 4

you get the fraction 3/4

Mr. beasley 's science class wants to decorate one wall in the classroom like an underwater scene. They use sheets of blue poster board that are 2 feet long and 2 feet wide. How many sheets of blue poster board are used to cover the entire area of the wall? use math words and symbols to explain how you solve

Answers

Answer:

Area of the sheet = 2×2 = 4 feet2

Step-by-step explanation:

Solve for the missing angle labeled "?".
9) M I
115°
S
U
P
47°
R
Q
A) 47°
B)65°
C) 68°
D)133°

Answers

Answer:

D) 133 degrees.

Step-by-step explanation:

attached as image.

A travelling wave is given by the equation y = 0.03 Sin (2.2 x - 3.5t) where y and x are in metres and t is in seconds. Find the amplitude, the wayelength, the frequency, the period and the speed of the wave.​

Answers

Answer:

Amplitude 0.03m, wavelength 2.86m, frequency 0.57Hz, period 1.8s

Step-by-step explanation:

The traveling wave is described with the following equation:

[tex]y=Asin(kx-wt)[/tex]

y=0.03sin(2.2x−3.5t)

A=0.03m

λ=2π/k=2π/2.2≈2.86m

T=1/f≈1.8s

6+8 divided by 2 simplify the expression

Answers

Answer:

6+8 is 14 and 14/2 is 7.

Step-by-step explanation:

the answer is 7

(6+8)/2
14/2
7
The answer is 7

The wheel of a bicycle has a diameter of 70cm and makes 2revolutions per second.calculate to one decimal place the speed of the bicycle in km/h

Answers

Answer:

Step-by-step explanation:

Number of reveloutions made in 1 second = 2

Number of revolutions made in 60 seconds ( 1 minute) = 2*60 = 120

Number of revolutions made in (60 minutes)  1 hour  = 120 *60 = 7200

Circumference of circle =   πd    

                                       [tex]= \dfrac{22}{7}*70\\\\\\= 22*10\\\\= 220 cm[/tex]

The distance traveled in 1 revoultion = the circumference of the cirlcle

                                                             = 220 cm

The distance travelled in 7200 revoultion = 7200 * 220

                                                                      =1584000 cm

                                                                       = 1584000 ÷ 100000

                                                                       = 15.84 km

                                                                        = 15.8 km

Speed = 15.8 km/h

which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =

Answers

Answer:

[tex] \frac{4}{5} > \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] \frac{4}{5} = 0.8[/tex]

[tex] \frac{1}{2 } = 0.5[/tex]

The answer is C. 4/5>1/2

Given the function f(x)=2x+1/x and f′(1/x)=f(−x).

Find the value of x∈R correct to 3 significant figures.


x=−2.83

x=0.382

x=−1

x=2.83
I NEED A QUICK ANSWER PLSSS

Answers

Z=-2.83 I’m sure I just did this work In Class .

PLEASEEEEEEEEEEEEEEEE :(

Answers

Answer:

A=128

Step-by-step explanation:

A=(25-9)^2/3√3+5

A=(16)^2/3√8

A=256/2

A=128

Find the slope of a parallel line and the slope of a perpendicular line.
y=12x-1​

Answers

Step-by-step explanation:

12x - y = 1

slope of m1 = - coefficient of x / coefficient of y

                    = - 12 / -1

                    = 12

# when it is parallel;

m1 = m2

12 = m2

# when it is perpendicular;

m1 * m2 = -1

12 * m2 = -1

m2 = -1 / 12

 

A box is 24 inches long, 36 inches wide,
and 48 inches tall. What is the volume
of the box in cubic feet?
A. 3456 ft3
B. 288 ft3
C. 144 ft3
D. 24 ft

Answers

Volume = the product of the three dimensions
So, 24 x 36 x 48 = 41472 (CALCULATED IN INCHES).

In (cubic) feet, 41472 : 12 = 3456 (ft3) [A.]

A right prism has a triangular base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is 3.5 yards.

What is the volume of the prism?


39.5 yd³

52.5 yd³

63 yd³

126 yd³

Answers

The volume is 63 yd cubed
A=Bh
A=bxhxh
A=12x3x0.5x3.5
A=63 yd cubed

Answer:

C. 63 yd³. I took the test.

Of the 200 cows in the herd, five-eighths grazed in the field. The rest slept near the barn. How many grazed in the field and how many were sleeping near the barn?

Answers

Answer:

125 barn 75 sleeping

Step-by-step explanation:

5/8 of 200 cows

of means multiply

5/8 x 200 = 1000/8 = 125

125 cows grazing

200-125 = rest of cows

75 = rest of cows sleeping

find the vertical asymptote(s).

Answers

Answer:

x = 1

Step-by-step explanation:

To find the vertical asymptote(s) we set the denominator to 0, but first we have to factor and simplify the function

[tex]f(x)=\frac{(x+1)(x-7)(x+10)}{(x-1)(x-7)(x+10)}[/tex]

step 1 the function is already factored so we just have to simplify it by canceling like terms

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

step 2 set denominator to 0 and solve for x

x - 1 = 0  

step 3 add 1 to both sides

x = 1

Answer: x = 1

By "doing the math" from the function given:

      Given:

[tex]f (x) =\displaystyle \frac{(x+1)(x-7)(x-10)}{(x-1)(x-7)(x-10)}[/tex]

      Terms in both the numerator and denominator are equal to 1:

 [tex]f (x) =\displaystyle \frac{(x+1)}{(x-1)}[/tex]

      We cannot have a denominator equal to 0, because you cannot divide by 0, so the vertical asymptote is x = 1 since 1 - 1 = 0. This can also be found by setting the denominator equal to 0 and solving for x.

By graphing:

      A vertical asymptote, put simply, is a vertical line "within" the domain, but not a part of the graph. I will graph the equation given and see what we come up with.

-> See attached

      Either way, the answer to your problem is:

x = 1

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

mode = 6

range = 7

Step-by-step explanation:

To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Last week, Riley worked 7.5 hours per day for 3 days and earned a total of $306.45.

What was Riley's hourly rate of pay last week?

Answers

Answer:

13,62$

Step-by-step explanation:

The total hours Riley worked last week: 7.5*3= 22.5 (hours)

Riley's hourly rate of pay: 306.45/ 22.5= 13.62$

7.5 x 3 = 22.5

306.45 / 22.5 = 13.62

Write the proportion. do not include units in the answer.
60feet is to 100feet as 12feet is to 20feet.

Answers

Answer:

(60/100) = (12/20)

Step-by-step explanation:

A set of cubes, each with sides 1 cm long, is stacked 5 cubes high, 8 cubes deep and 7 cubes long.
How many cubes are in the set?

Answers

Answer:

280 Cubes

Explanation:

This problem has to do with volume. To find the number of cubes in the set, you multiply the length, width, and height of all the cubes. This would look like 7*8*5. This equals 280 cubes.

Monica loves medicine and caring for people, but does not want to spend the
next 16 years studying and preparing to become a doctor. Which of the
following is a good career alternative for Monica?
• A. Nurse
B. Accountant
• C. Artist
• D. Banker

Answers

Answer:A

Step-by-step explanation: She will still care for people but spend lesser years qualifying

Answer: NURSE

Step-by-step explanation:

multiply 2 5/8 times - 2 3/5 what is the answer

Answers

Step 1: Change the Mixed Numbers into Improper Fractions

---To do so, multiply the number by the denominator and add that product to the numerator.

2 x 8 = 16 + 5 = 21

21 / 8

2 x 5 = 10 + 3 = 13

13 / 5

Step 2: Multiply the Improper Fractions

---When multiplying fractions, multiply straight across (numerator x numerator and denominator x denominator).

21 / 8 x 13 / 5 = (21 x 13) / (8 x 5) = 273 / 40

Step 3: Simplify

---Change the improper fraction back into a mixed number a simplify if necessary.

40 x 6 = 240

273 - 240 = 33

6 33/40

Answer: 6 33/40

Hope this helps!

1. what can you say about the sum of the measures of <1 and <3?

Statement.
Reason.

i really need help ​

Answers

[tex]\huge\tt \underline{Question}[/tex]

1. what can you say about the sum of the measures of <1 and <3?

[tex]\huge\tt\underline{Answer}[/tex]

[tex]\tt{Statements:}[/tex]

[tex]m < 1 + m < 3 = 90[/tex]

[tex]\tt{Reasons:}[/tex]

Definition of perpendicularity

[tex] \\ \\ [/tex]

see the picture above

= "i hope it's help"

The circumference of a sphere is 18π inches. Find the volume of the sphere in terms of π

Answers

Answer:

volume=12п

Step-by-step explanation:

circumference =2пr

2пr=18п

r=18п:2п

r=9

volume of sphere= (4/3)*п*r

volume=(4/3)*п*9

volume=4*п*3

volume=12п

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