Write a linear function f with the values f(3)=2 and f(0)=6

Answers

Answer 1

Answer:

for f(3)=2 is y=(2/3)x

Step-by-step explanation:

y=ax

and plug x and y into the parent function.

Answer 2

Answer:

          f(x) = -⁴/₃x + 6

Step-by-step explanation:

f(0) = 6 means y-intercept b = 6

So we have:

                  f(x) = mx + 6     and   f(3) = 2

        So:

                2 = m×3 + 6

                  3m + 6 = 2

                   3m = 2 - 6

                   3m = -4

                    m = -⁴/₃

Therefore the function:

                                    f(x) = -⁴/₃x + 6

Related Questions

Workout 2/7+1/5 and then simplyfy it

Answers

Answer:17/35

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/7, 1/5) = 35

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(2/7x5/5)+(1/5x7/7)=?

Complete the multiplication and the equation becomes

10/35+7/35=?

The two fractions now have like denominators so you can add the numerators.

Then:10+7

         ——- =17/35

            3

This fraction cannot be reduced.

Therefore:2/7+1/5=17/35

While parasailing. Ryan spots a dolphin on the water below. If Ryan is 228 feet above the
water and the angle of depression to the dolphin is 15, what is the horizontal distance
between Ryan and the dolphin?

Answers

Answer:

850.9 feet

Step-by-step explanation:

The horizontal distance between Ryan and the dolphin is 850.907 feet.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Ryan is 228 feet above the water and the angle of depression to the dolphin is 15.

Using trigonometry

tan 15 = 228/ x

x= 228/ tan 15

x= 228 / 0.26794919243

x = 850.907  feet

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Calculate angle y
Can somebody work this out?

Answers

Answer:

y = 110

Step-by-step explanation:

ABCD is a cyclic quadrilateral ( its vertices are on the circle )

The opposite angles are supplementary, sum to 180° , then

∠ C = 180° - 70° = 110° , thus

y = 110

The difference of a number c and 17 is more than 33.

Answers

Answer:

c-17=x>33

c=51

Step-by-step explanation:

The value of number c should be greater than 50.

It is given that difference of a number c and 17 is more than 33.

We have to find out the value of number c.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

The difference of c and 17 is more than 33.

i.e.,

difference of c and 17 meant ; 17 should be subtracted from c and this is greater than 33.

i.e.,

c - 17 > 33

c > 33 + 17

c > 50

Thus , the value of number c should be greater than 50.

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True or false;
The x-intercept of a function ALWAYS occurs where y is equal to zero.
True
False

Answers

I think the answer is (true)
Have a great day!

The x-intercept of a function always occurs where y is equal to zero is true.

Given,

The x-intercept of a function always occurs where y is equal to zero.

We need to find whether the given statement is True or False.

What is x-intecept and y-interept?

The x-intercept is the point where the line passes through the x-axis.

We need to put y = 0.

The y-intercept is the point where the line passes through the y-axis.

We need to keep x = 0.

Check the statement.

The x-intercept of a function always occurs where y is equal to zero.

This is a true statement because in order to find the x-intercept we need always keep y = 0.

Thus the given statement-

The x-intercept of a function always occurs where y is equal to zero is true.

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Henry places £6000 in an account which pays 4.6% compound interest each year
Calculate the amount in his amount after 2 years

Answers

Answer:

£ 6,564.70

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years

Compound Interest formula =

A = P(1 + r/n)^nt

A = Final Amounrt

P = Principal = £6,000

r = Interest rate = 4.6%

t = Time in years = 2 years

n = Compounding frequency = Yearly = 1

First, convert R percent to r a decimal

r = R/100

r = 4.6%/100

r = 0.046 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 6,000.00(1 + 0.046/1)^(1×2)

A = £ 6,564.70

The amount in his account after 2 years = £ 6,564.70

!!HELP ME PRETTY PLEASE!!Examine the four different companies in the table, which shows their yearly income and their tax rate. Which type of taxation does this table best represent?

Answers

Answer:

regressive tax

Step-by-step explanation:

Tax is a compulsory sum levied by the government or an agency of the government.

There are 3 types of taxes

1. proportional tax - the same amount of tax rate is levied on everyone.

2. regressive tax - lower earning inviduals are taxed

Answer: its proportional

Step-by-step explanation:

i got it right

A pattern maker earns $25 per hour. She has monthly business expenses of $300. Her profit is the difference between
her monthly earnings and her monthly business expenses. How many hours will the pattern maker have to work in a month to make a profit
of at least $2,000?
оооо
a) 92
b) 100
c) 108
d) 121

Answers

Answer:

i think the answer is a.92 hope this helps

W-20.5=8 please help me

Answers

This is just the same as asking you what number when subtracted by 20.5 will give you an answer of 8. The answer would obviously be 8+20.5=28.5 so w=28.5.

We can also do it in a more algebraic way. By adding 20.5 to both side of the equation which won't change the value.

w-20.5+20.5=8+20.5

w=28.5

Any questions just ask me in the comments of this question :)

9e + 4=5e + 14 + 13e

Answers

Answer:

e = -1

Step-by-step explanation:

1. 9e + 4 = 5e + 14 + 14e

2. 9e = 5e + 10 + 14e

3. 9e = 19e +10

4. -10e = 10

5. e = -1

Hope that helps

Answer:

e - 10

Step-by-step explanation:

1.) We need to manipulate the equation to get e by itself.

2.) To solve the equation, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e (Combine like terms)

9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)

e + 4 = 14 (Combine like terms)

e + 4 - 4 = 14 - 4 (Subtract 4 from each side)

e = 10 (Combine like terms.

3.) Answer: e = 10.

Now lets check our work. To check your work, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e

9(10) + 4 = 14 + 8(10)

90 + 4 = 14 + 80

94 = 94

By doing those steps we can confirm the answer, e = 10, is true.

If are AC is 122 degrees and arc BC is 192 degrees, what is the measure of angle ACB

Answers

ACB = AC + BC

ACB = 122 + 192 = 314

The answer is b. 314 degrees

Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.

Answers

Answer:

32.6193819

Step-by-step explanation:

calulater never lies XD

Answer:

The answer should be: x=2,-12

which on your answer should backwards: {-12,2}

Step-by-step explanation:

what is the result when 3x^3+13x^2+11x^2+1 is divided by x+ 1

and can you show me how to do it please

Answers

Answer:

58x

Step-by-step explanation:

can i get brainliest

Can someone answer this question this correctly for me

Answers

The answer is A cause thoes are the ones u don’t have a number for yet

What is an equivalent fractions

Answers

Answer:

fractions that are the same

7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?​

Answers

Answer:

slope =[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:

[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]

Thus, the slope is [tex]-\frac{2}{3}[/tex].

7 2/9 - 5 5/7= [?] [?]/[?]​

Answers

Answer:

MARK BRAINLIEST OwO

True or False: Similar and congruent mean the same thing.

Answers

Answer:

true

Step-by-step explanation:

Answer: False

Step-by-step explanation: Similar means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.

pls answer this one

By prime factorisation method factorize 400 and find the sum of prime numbers involved.

Answers

Step-by-step explanation:

PLS MARK ME AS BRAIN LIST ANSWER

Expand & simplify
(2x + 6)2

Answers

Answer: 4x+12

Step-by-step explanation:

The distributive property states that a(b+c) = ab+ac.

Thus, simply do 2*2x+2*6 = 4x+12

Hope it helps <3 :D

HELP ME PLZ ITS DUE AT 11:59 AND I HAVE MORE

Answers

Answer:

Step-by-step explanation:

1: no

2 yes

3 no

4 yes

5 no

6 no

7 always

8 always

9 never

10 always

11 always

12 never

13 108

14 80

15 70

16 123

17 38

18 167

19 10

20 154

Which number produces an irrational number when added to 0.4?
B. 0.444...
C.2/7

Answers

Answer:

B.

Step-by-step explanation:

What is x for -6x-7=4x-2

Answers

Answer:

Exact form: x = - 1/2

Decimal form: x = - 0.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=-1/2

Step-by-step explanation:

Hope I helped!

On a particular day 4% of the students were absent. If there are 1750 students at the school then how many were not absent that day?

a) 70
b) 1050
c) 1650
d) 1680


*pls help will mark brainliest!!!*

Answers

Answer:

A) 70

Hope this helps :)

Sarah bought a new T-shirt for $40. The sale tax is 4%. How much was the tax?

Answers

Answer:

The tax is $1.60 bringing her total to $41.60

Answer: im getting free points dont get mad at me this person already answered so take full credit for him

Step-by-step explanation:

1. g(x) = f(x) - 7
how do u solve these?

Answers

Answer:

g' (×)=f

Step-by-step explanation:

g (×)=f×-7

g' (×)= d÷d× (f×-7)

d÷d×(f+g)=d÷d×(f)+d÷d=(g)

g' (×)=d÷d×(f×)-d÷d×(7)

g'(×)=f-d÷d×(7)

g'(×)=f-0

g'(×)=f

Fireworks are set off from a hill 80 feet above the Mississippi. The outer
shells will fall after exploding at its maximum height. The firework's height
about the surface of the river is given by the function h(t) = -16t^2 + 64t +
80. What is the height of the rocket after 1.5 seconds?

Answers

Answer:

752 ft

Step-by-step explanation:

Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:

-16(1.5)²+64(1.5)+80

solving this, we get:

-24²+96+80

576+96+80

752

Find the 9th term of the geometric sequence 10, 40, 160, ... ​

Answers

The answer is 655,360

2 +7 +4(9 - 6)2 = 6

PLEASEE I NEED HELP

Answers

Answer:

It is false

Step-by-step explanation:

Because 2+7+4x3 2 =33 not 6

2+7+24 =6

33=6

Answer:

your mum, lol

Step-by-step explanation:

someone already did it might as well put random comment

An isosceles triangle has an angle that measures 66°. Which other angles could be in that isosceles triangle?

Answers

Answer:

57 and 57 or 66 and 48

Step-by-step explanation:

180-66=114

114/2=57

the awnser is 24

Step-by-step explanation:

I think it might be wrong sorry if it wrong

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