Write the rule for the linear function. Remember a function rule is written using f(x)

Write The Rule For The Linear Function. Remember A Function Rule Is Written Using F(x)

Answers

Answer 1

Answer:

The rule for the linear function wil be:

f(x) = x

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

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

Given the function is linear

Taking two points

(0, 0)(1, 1)

Finding the slope between (0, 0) and (1, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [1 - 0] / [1 - 0]

                 = 1 / 1

                 = 1

Thus, the slope of the line = m = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 1 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = (1)x + 0         ∵ m = 1, b = 0

y = x

f(x) = x     ∵

Therefore, the rule for the linear function wil be:

f(x) = x

Related Questions

Need a little help here pls

Answers

Answer:

The statements that must be true are:

XY and JK form four right angles ⇒ B

XY ⊥ JK ⇒ C

JP = KP ⇒ E

m∠JPX = 90° ⇒ F

Step-by-step explanation:

From the given figure

∵ Line XY is the perpendicular bisector of the line segment JK

→ That means line XY is the line of symmetry of the line segment JK

XY ⊥ JK ⇒ C

∵ XY ∩ JK at point P

P is the midpoint of JK

∵ XY ⊥ JK

∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles

XY and JK form four right angles ⇒ B

∵ The measure of the right angle is 90°

∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°

m∠JPX = 90° ⇒ F

∵ P is the midpoint of JK

JP = KP ⇒ E

If an author can type 2500 words in 5 minutes, how many words can he type in 210 minutes?

Answers

Answer:

105,000

Step-by-step explanation:

2500/5 gives you 500 x 210 =105,000

2x²+30y-3y²+4xy-14-x


Option 1,2,3 or 4?

Answers

there’s no alike terms so it would be option 3

which of the following is equivalent to (Cd) to the fifth power

Answers

Answer:

The 3rd option is correct.

Step-by-step explanation:

This is because of an exponent rule that goes:

(xy)^z = x^z(y^z)

The whole thing gets raised to the power. Therefore only the 3rd one works (ps. if you can mark as brainliest that would be amazing, but if not that's fine)

how many sides does a regular polygon have each interior angle of which is measure 120​

Answers

Answer:

12

Step-by-step explanation:

step by step explanation

I think the answer is 6

turquoise paint is made by mixing blue, green and yellow paint in the ratio 2.5 : 1.4 : 0.1 . how much of each colour is needed to make 1.5 litres of turquoise paint? write answers in the same order as the ratio (eg, blue, green, then yellow)​

Answers

Answer: Blue color = 937.5 ml

green color =   525 ml

Yellow color= 37.5 ml

Step-by-step explanation:

Let the quantity of all kinds of paint required to make turquoise paint be 2.5 x(blue), 1.4 x( green), 0.1 x.(yellow).

Total turquoise color required =2.5x+1.4x+0.1x

[tex]\Rightarrow (2.5+1.4+01)x=1.5\\\\\Rightarrow\ 4x = 1.5\\\\\Rightarrow x=\dfrac{1.5}{4}\\\\\Rightarrow\ x=0.375[/tex]  = 1.5 liters  [given]

Blue color = 2.5 x 0.375 = 0.9375 liters = 937.5 ml  [1 liter = 1000 ml]

green color = 1.4 x 0.375= 0.525 l  =  525 ml

Yellow color= 0.1 x  0.375= 0.0375 =37.5 ml

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

Answers

Answer:

60

Step-by-step explanation:

solve for x, tan 12 = 22 over x

Answers

Answer:

tan 12=22/x

x=22/tan 12

x=103.77.................

When you add a positive number and a negative number, how can
you tell whether the sum will be positive or negative?

Answers

Answer: By looking at which one is bigger

Step-by-step explanation:

if the negative number is a bigger number than the positive your answer will be negative, if the positive number is larger than the negative your answer will be positive if your negative and positive numbers are the same your answer will be zero, hope this helps <3

Answer:

+ - = -

Step-by-step explanation:

+ (+) = +    

+ (-) = -

- (-) = -

- (+) = -

Two like signs become a positive sign

Two unlike signs become a negative sign

Read the caption! Thanks, if you can helps thank you

Answers

Step-by-step explanation:

For a triangle, any 2 side lengths of the triangle must be greatee than the 3rd side.

Given a triangle with side lengths 11, 23 and x,

we have:

11 + 23 > x,11 + x > 23, and23 + x > 11.

Therefore 34 > x and x > 12. => 12 < x < 34.

Answer:

second option

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

23 - 11 < x < 23 + 11, thus

12 < x < 34

I rly need help! I will mark brainliest if you are correct

Answers

Range is 4 dom is 7
Hope that helps

What is the solution to this system of equations?

4y + x = 5

x + 4y = 10

Answers

I Hope it help.
It won’t let me post

the equation doesn't have a solution lol

You mix 1/3 teaspoon of baking soda with 3 teaspoons of salt. What is the value of the ratio of baking soda to salt?

Answers

1 to 9 baking soda to salt

function or not a function?

Answers

Can you please get a clearer picture?
The answer is Not a function..

Does anyone know how to do geometry? Please help

Answers

Answer:

No

Step-by-step explanation:

>>>>

i wish i knew. im struggling over here as well

Pleas help me I really need it

Answers

Hello! I hope this helps you!

If you are to simplify the expression, you’d be getting the answer of:

8x-2

before distributing the negative:

(7x2 + 3x) - (8x2 - 5x)

after distributing the negative:

7x2 + 3x - 8x2 + 5x

now add like terms:

7x2 + 3x - 8x2 + 5x

-x2 + 8x

or

8x - x2

-- let me know if you have any questions regarding this.

What is the measure, in degrees, of the angle marked B?

133

65

68

47

Answers

47

All triangles are 180 degrees. Add the 2 numbers given to get a number. Take 180 and subtract it from that number to get 47

Answer:

[tex]\boxed {\boxed {\sf 133 \ degrees }}[/tex]

Step-by-step explanation:

According to the Exterior Angle Theorem, the exterior angle of a triangle is equal to the sum of the 2 remote and opposite interior angle.

[tex]d=a+b[/tex]

In this triangle, angle B is the exterior angle (d). The two interior angles are 68 degrees and 65 degrees ( a and b).

[tex]\angle B=68 \textdegree +65 \textdegree[/tex]

Add.

[tex]\angle B= 133 \textdegree[/tex]

This can also be solved using triangles and supplementary angles.

The angles in a triangle must add to 180 degrees. We have three angles: 68, 65, and an unlabeled angle we can call x.

[tex]68+65+x=180 \\133+x=180[/tex]

Subtract x from both sides.

[tex]133+x=180-133 \\x=47[/tex]

x is on a straight line with B, so they are supplementary and add to 180 degrees.

[tex]47+ \angle B= 180[/tex]

Subtract 47 from both sides.

[tex]47-47+ \angle B= 180-47\\\angle B= 133[/tex]

Angle B is equal to 133 degrees.

the base of a pyramid has n sides
write an expression for the number of faces on the pyramid

Answers

Answer: The expression for number of faces of a pyramid =1+n

Step-by-step explanation:

A Pyramid is a polyhedron or a three dimensional shape having a polygon base and all lateral faces are triangles .

Its base describe the number of other faces of it.

For example a triangular pyramid has a triangular base which gives rise to 3 lateral faces , and a rectangular pyramid has a rectangular base which give rise to 4 lateral faces and so on.....

So the total number of faces in a pyramid = base + lateral faces

If a pyramid has n sides therefore it give rise to n lateral faces such that

The total number of faces in a pyramid= 1+n .

What is the value of x in the figure shown below

Answers

Answer:

x = 34 degrees

Step-by-step explanation:

if this is a parallelogram then Δ ACB ≅ Δ DCB

which means that ∠A = ∠D

Could you guys help me again?

Answers

Answer:

1. n power of 25

2.x power of 5

I NEED HELP ASAP IT'S DUE IN 40 MINUTES!!! I'LL GIVE BRAINLIEST!!!

Answers

Answer:

Transversal

Step-by-step explanation:

Jared started a new job. On the first day he had orientation and worked for 2 hours. On the second day he trained for 4 hours. After that, Jared worked 8 hours each day. If his first paycheck shows that he is being paid for 94 hours of work, how many days did he work a full 8-hour day?

Answers

Answer:

Jared worked 11 days as full 8-hour days.

Step-by-step explanation:

We have:

First day = 2 h

Second day = 4 h

After that = 8 h each day    

Since his paycheck shows 94 hours of work, we can find the number of days that he works 8-hour day:

[tex] 94 h = 2 h + 4 h + 8 h*x [/tex]

Where x is the number of days that he works 8-hours.

[tex] 8 h*x = 88 h [/tex]

[tex] x = \frac{88 h}{8 h} = 11 [/tex]

 

Therefore, Jared worked 11 days as full 8-hour days.

I hope it helps you!                                              

2x-4=x+6 how solve this

Answers

Answer:

x = 10

Step-by-step explanation:

1. Add 4 to both sides of the equation

2. Simplify

3. Subtract x from both sided of the equation

4. Simplify

Therefore, x = 10

Hope this helps :)

Answer:

=10

Add 4

to both sides of the equation 2−4=+6

2x-4=x+6 2−4+4=+6+4

NEED AN ANSWER SOON
Find the slope of the line that contains the points named. A(3, 2), B(7, 8) 5/2 3/2 2/3

Answers

Answer:

3/2

Step-by-step explanation:

Answer : 3/2

To find the slope you would use the slope formula which is (y2-y1) / (x2-x1).

(8-2) / (7-3)

m = 3/2

If Mr.John has a new house he want to put mats on the flour the length of the mat is 95cm and the width is 74cm that is the perimeter of the mat Mr.John has?​

Answers

Answer:

338cm

Step-by-step explanation:

P= 2( L+W)

P=2(95+74)

P=2(169)

P=338cm

2*10⁴-7³ please help​

Answers

Answer:

19657

Step-by-step explanation:

By PEMDAS, we know we have to calculate the exponents first, then multiply the 2, and then subtract the 7³

2*10⁴ = 20000

20000 - 7³ = 19657

This is the third time I've seen this question. Are you posting this question again and again?

I neeed help it’s a word problem

Answers

Answer:

12.50

Step-by-step explanation:

62/5=12.4

60/2=30

5/2=2.5

Two tour groups are visiting an aquarium. There are 20 children in one group and 22 children in the other. Along with the 2 group leaders, there are 5 additional adults between the two groups. If the cost per child is $9.00 and the total for both groups is $490, what is the cost per adult?

Answers

Answer:

The cost per adult is $16.

Step-by-step explanation:

Given that:

Total number of children = 20+22 = 42 children

Total number of adults = 2 + 5 = 7 adults

Total cost for both groups = $490

Cost per child = $9.00

Cost of children ticket = 9.00*42 = $378

Cost of adult tickets = 490-378 = $112

This is the cost for 7 adult tickets.

Cost per ticket = [tex]\frac{112}{7}[/tex] = $16

Hence,

The cost per adult is $16.

Work out the percentage change when a price of £10 is increased to £14.​

Answers

Answer:

40%

Step-by-step explanation:

14-10 = 4, which is a 4 euro increase.

4/10 = 40%

Or we can see that 14/10 = 1.4, or 140%, which is a 40% increase

Sultan needs enough tents for 28 people to sleep in. Each tent can fit 6 people. How many tents does he need?

Answers

Answer:

5 tents

Step-by-step explanation:

1 tent = 6 people

x tent = 28 people

Cross product

1 * 28 = 6 * x

28 = 6x

x = 28/6

= 4.67

Approximately x = 5 tents to an whole number

Therefore, he needs 5 tents for 28 people to sleep in

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