Write a function rule for the statement, “The output is 4 less than the input.” Then, complete the table.
Slope:
y-intercept:
equation:

Write A Function Rule For The Statement, The Output Is 4 Less Than The Input. Then, Complete The Table.Slope:y-intercept:equation:

Answers

Answer 1

Answer:5

Step-by-step explanation:

Answer 2

Answers:

Slope:  1y-intercept:  -4equation:     y = x-4y outputs: -4, -3, -2, -1, 0

Those y outputs are placed into the table in the order shown. For instance, -1 goes right underneath the '3'.

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

Explanation:

Let's find the equation first. The function rule is "the output is 4 less than the input". So whatever the input x is, we subtract off 4 to get the output y.

This leads directly to the equation y = x-4

This is the same as saying y = 1x-4 which is in the form y = mx+b

m = 1 is the slope and b = -4 is the y intercept

------------

Once we have the equation, we plug in the given input x values one at a time to find their corresponding y values.

For example, if x = 0, then,

y = x-4

y = 0-4

y = -4

So we have x = 0 pair up with y = -4. We write -4 underneath the 0 in the table given.

Then we write -3 under the "1" in the table because

y = x-4

y = 1-4

y = -3

And so on. Repeat this process until you get to x = 4.

You should have these ordered pairs

x = 0, y = -4x = 1, y = -3x = 2, y = -2x = 3, y = -1x = 4, y = 0

Related Questions

What percent is represented by the shaded area?

What percent is represented by the shaded area?

Answers

30%
because 6 out of the 20 squares are shaded so it would be 6/20 which would equal .30 or 30%

Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day.

Part A
How far did he jog each day? Enter your answer in the box.

2.8
miles

Part B
How many total miles would Ted jog if he continued to jog the same number of miles each day for 6 days? Enter your answer in the box.

miles? put answer bellow for part b

Answers

Answer: 16.8 miles

Step-by-step explanation:

Multiply 2.8 miles by 6 to find the number of miles jogged after 6 days.

Answer:

16.8 miles!

Step-by-step explanation:

pls pick one of the answers below

pls pick one of the answers below

Answers

Answer:

5+4x=25

Step-by-step explanation:

You already know you bought 1 $5 magazine so that is the constant. And the question asks how many erasers you bought to equal $25. So to write the equation you know it equals 25 and the 5 is constant, if each eraser is $4 then the x goes with the 4 making it, 5+4x=25

Answer:

The answer to the far left/the Blue Answer.

Step-by-step explanation:

The reason why is because if 1 magazine was the price of $5, that would mean that the total of the erasers AND the magazine equals 25 dollars, as said in the statement. This means that when subtracting 5 dollars from 25 dollars, there are 20 dollars left. This means that if there were 4 erasers, that means that 20 dollars divided 4 erasers equals 5 dollars. This means that each eraser costs 5 dollars, making the Blue Answer/Statement true.

Kendra ordered the remaining items. If she only had a $10.00 bill, then how much will she need to borrow from one of her friends?

Answers

Answer:

fbk;lm vn;djkfbnjklnbjknjobjnjnbjnbgjnbgjnbgjn

Step-by-step explanation:

Find an equation of the line containing the point (2,-5) and parallel to y = – 4x – 2.
Write your answer in slope-intercept form.

Find an equation of the line containing the point (2,-5) and parallel to y = 4x 2.Write your answer in

Answers

Answer:

the desired equation is y = – 4x + 3

Step-by-step explanation:

Parallel lines have the same slope and thus similar equations.   Thus, the equation of a line parallel to the given line has the form y = – 4x  + C.  We need only find C.

The new line goes through (2, -5), and so we substitute 2 for x and -5 for y to obtain

-5 = – 4(2) + C.  Then -5 + 8 = C, or C = 3.

Then the desired equation is y = – 4x + 3

Betty has 42 butterfly stickers, as shown below.



She puts an equal number of stickers on each of 6 pages in her sticker book.

How many stickers does Betty put on each page in her sticker book?

Answers

Answer:

7

Step-by-step explanation:

42/6=7

A student weighs out a 4.05 g sample of Na2SO4, transfers it to a 125 mL volumetric flask, adds enough water to dissolve it and then adds water to the 125 mL tick mark. What is the molarity of sodium sulfate in the resulting solution

Answers

The molarity of sodium sulfate in the resulting solution is 0.259 M. To determine the molarity (M) of the sodium sulfate solution, we need to calculate the number of moles of Na2SO4 present in the 4.05 g sample and then divide it by the volume of the solution in liters.

First, we calculate the number of moles of Na2SO4 using its molar mass. The molar mass of Na2SO4 is calculated as follows: 2(Na) + 1(S) + 4(O) = 2(22.99 g/mol) + 32.07 g/mol + 4(16.00 g/mol) = 142.04 g/mol.

Next, we convert the mass of the sample to moles by dividing it by the molar mass:

moles of Na2SO4 = 4.05 g / 142.04 g/mol = 0.0285 mol.

The volume of the solution is given as 125 mL, which is equivalent to 0.125 L.

Finally, we divide the number of moles of Na2SO4 by the volume in liters to obtain the molarity:

Molarity (M) = moles of Na2SO4 / volume of solution (in liters) = 0.0285 mol / 0.125 L = 0.228 M.

Therefore, the molarity of sodium sulfate in the resulting solution is 0.259 M.

Learn more about volume here: https://brainly.com/question/21623450

#SPJ11

Silver gym costs $75 to join their gym plus $25 per training session, world fitness costs $100 to join and only $20 per training session. How many sessions will it take for the cost to be the same?

Answers

Answer:

5 Sessions

Step-by-step explanation:

$75+$25. $100+20 | Prices

125. 140. | + Cost of Session

150. 160

175. 180

200. 200

225. 220

what is 2/5% as a decimal

Answers

Answer:

0.004

Step-by-step explanation:

The question is tell us 2/5% or 0.4%. We simply divide 0.4 by 100 to get our answer of 0.004.

pls help i lll give brain ist yeah

pls help i lll give brain ist yeah

Answers

Answer:

(10) 10^5

Step-by-step explanation:

Solve for the area (A) of a rectangle if the length (l) is 4x and the width (W) is 5x*. Remember Area = length x width

Answers

Answer:

If area = length * width that means the answer is 4x * 5x = 20x².

find the solution to the system of equations
3x+3y+3z=27
x+3y+3z=17
x-2y-5z=0

Answers

(5,5,-1)
hope this helps



Solve each equation for θ with 0 ≤ θ <2 π.

2 sinθ=1

Answers

The solutions to the equation 2 sinθ = 1, with 0 ≤ θ < 2π, are θ = π/6 and θ = 5π/6.

To solve the equation 2 sinθ = 1, we can isolate θ by dividing both sides of the equation by 2:

(2 sinθ) / 2 = 1 / 2

This simplifies to:

sinθ = 1/2

Now, we need to find the values of θ between 0 and 2π that satisfy this equation.

The sine function has a value of 1/2 at two specific angles: π/6 and 5π/6 in the unit circle, where sinθ = 1/2.

Since θ must be between 0 and 2π, we will consider the solutions within that range.

The first solution is θ = π/6.

The second solution is θ = 5π/6.

Therefore, the solutions to the equation 2 sinθ = 1, with 0 ≤ θ < 2π, are θ = π/6 and θ = 5π/6.

learn more about equation here

https://brainly.com/question/29657983

#SPJ11

make t the subject q= 1+3t/2-t

Answers

Answer:

t = dfrac-1 + 2 q3 + q.

Step-by-step explanation:

what is 120 euros to dollars?

Answers

The value of euros can be converted to dollars by simply multiplying euro by 1.06 so 120 euros be 127.89 dollars.

Unit conversion is the process of converting the dimension of a given quantum between colorful units, frequently by multiplicative conversion factors that alter the value of the measured volume without altering its goods.

The sanctioned currency of 20 of the EU's 27 member countries is the euro( symbol€; law EUR)( EU). By of 2023, this group of countries — officially known as the eurozone or euro area — will have around 344 million residers. One euro is equal to one hundred cents.

The United States bone ( symbol$; law USD; frequently shortened asUS$ orU.S. Bone to separate it from other bone - nominated currencies; also known as the bone ,U.S. bone , American bone , or informally buck) is the sanctioned coin of the United States and multitudinous other nations.

Learn more about Euros to dollars:

https://brainly.com/question/29724302

#SPJ4

Mrs. Jacksy served snacks on a circular plate. How many lines of symmetry were on the plate? A. 0 B. 2 C. 4 D. Infinite number

Answers

Answer:

D. Infinite number

Step-by-step explanation:

A circular plate can be rotated by a part of a degree and it will look the same (as long as it does not have a design on it)

Assuming this plate does not have a design on it, we can rotate through infinite number of lines of symmetry

Answer:

D. infinite number

Step-by-step explanation:

Hope this helps ^_^

Jesse bought 24 gallons of gas for $45.58. What was the price per gallon?

Answers

Answer:

$1.899

Step-by-step explanation:

Divide $45.58 by 24 for the unit price of each gallon

Answer: Approx. $1.899

Step-by-step explanation:

let the price per gallons be G

24G = 45.58

G = 45.58/24 = 1.899

Factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable f(x)=x^6−22x^4−79x^2+100 Answer f(x)=

Answers

f(x) = (x² - 25)(x² - 4)(x² + 1)

To factor the given polynomial function f(x) = x⁶ - 22x⁴ - 79x² + 100 completely, we can use the Conjugate Roots Theorem and factor it into its irreducible factors.

First, we notice that the polynomial has even powers of x, which suggests the presence of quadratic factors. We can rewrite the polynomial as f(x) = (x²)³- 22(x^2)² - 79(x²) + 100.

Next, we can factor out common terms from each quadratic expression:

f(x) = (x² - 25)(x² - 4)(x² + 1)

Now, each quadratic factor can be further factored:

x² - 25 = (x - 5)(x + 5)

x² - 4 = (x - 2)(x + 2)

x² + 1 is an irreducible quadratic since it has no real roots.

Therefore, the completely factored form of f(x) is:

f(x) = (x - 5)(x + 5)(x - 2)(x + 2)(x² + 1)

Learn more about Polynomial function

brainly.com/question/29780212

#SPJ11

help me with this answer pls!!

help me with this answer pls!!

Answers

Answer:

1.090909......

Step-by-step explanation:

Each number is divided by -3.333333..... to get the next number in the sequence, -3.6/-3.3333....=1.0909.....

I hope this helps!

Type the correct answer in the box. Use numerals instead of words. If necessary, use/ for the fraction bar.
Given the figure, find the total area of the shaded region.
D
8-
6-
4-
2-
O
-2-
o
S
The area of the shaded region is
B
R
8
с
square units

Answers

The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ1

Type the correct answer in the box. Use numerals instead of words. If necessary, use/ for the fraction

If a family has five girls and plans to have another child, answer the following if the probability of the event of a boy being born is \( \frac{1}{2} \), and births are independent events. a. What is

Answers

In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.

The previous births do not affect the probability of the next birth since each birth is an independent event.

The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.

Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.

In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.

Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.

To learn more about independent event visit:

brainly.com/question/32716243

#SPJ11

PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG

PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG

Answers

Answer:

60 po

Step-by-step explanation:

kase na try ko na ehh

Answer:

The correct answer is 15 kilometers.

Step-by-step explanation:

We know that your bike is 30 kilometers per every 2 hours. However, we need to find the speed per hour.

In order to find this quantity, we simply need to divide 30 kilometers by 2.

30 ÷ 2 = 15

Therefore, the correct answer is 15 kilometers.

Hope this helps! :D

find the missing length the triangles are similar

find the missing length the triangles are similar

Answers

Answer:

c.24

Step-by-step explanation:

First find the correlation between 55-33 and 50-30 since the triangles are similar these sides have the same correlation of 1 2/3

divide 50 by30 and 55by 33 to prove my statement.

After that you multiply the correlation by the final side 36time 1 2/3 to get almost exactly 60 subtract 36 from 60 and get 24.

A roller-coaster car moves 200ft horizontally and then rises 135ft at an angle of 30.0

above the horizontal. It next travels 135ft at an angle of 40.0

downward. What is its displacement from its starting point? Use graphical techniques.

Answers

The displacement of the roller-coaster car from its starting point can be determined using graphical techniques. The main answer is that the displacement is approximately 157.5 ft in magnitude and in the direction opposite to the car's initial motion.

To explain further, we can break down the motion into horizontal and vertical components. The car initially moves 200 ft horizontally, which means its horizontal displacement is 200 ft. Then, it rises 135 ft at an angle of 30.0° above the horizontal. This vertical displacement can be calculated as 135 ft * sin(30.0°) = 67.5 ft upward.

Next, the car travels 135 ft at an angle of 40.0° downward. This contributes to a vertical displacement of 135 ft * sin(40.0°) = 87.2 ft downward.

To find the total vertical displacement, we subtract the downward displacement from the upward displacement: 67.5 ft - 87.2 ft = -19.7 ft.

Finally, we can use the Pythagorean theorem to calculate the magnitude of the displacement. The horizontal displacement is 200 ft and the vertical displacement is -19.7 ft. So, the magnitude of the displacement is sqrt((200 ft)^2 + (-19.7 ft)^2) ≈ 157.5 ft.

Since the vertical displacement is negative, the displacement is in the direction opposite to the initial motion of the car.

Learn more about Pythagorean theorem here:

brainly.com/question/14930619

#SPJ11

HELP ME PLZ <<<<<<<<<<<<<<<<<<<<

HELP ME PLZ &lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;

Answers

Answer:

Yes, Alternate Exterior Angles

Step-by-step explanation:

A testicle cuff is a ring-shaped device around the scrotum between the body and the testicles which when closed does not allow the testicles to slide through it. A common type has two connected cuffs, one around the scrotum and the other around the base of the penis. They are just one of many devices to restrain the male genitalia. A standard padlock, which cannot be removed without its key, may also be locked around the scrotum.

Let T: R² → R³ be a linear mapping, satisfying T(1, 2) = (1, 0, 1) and T (2,5) = (0, 1, 1). Calculate T(0, 1).
(a) (0,2,-3)
(b) (-2, 1, -1)
(c) (-2, 5, 1)
(d) (1, -1, 0)

Answers

Let T: R² → R³ be a linear mapping, satisfying T(1, 2) = (1, 0, 1) and T (2,5) = (0, 1, 1). T(0, 1) is option (b) (-2, 1, -1)

Let T: R² → R³ be a linear mapping, and T(1, 2) = (1, 0, 1) and T (2,5) = (0, 1, 1).

To calculate T(0, 1), we must first determine the matrix A of T with respect to the standard basis of R² and R³.

Using the values of T(1, 2) and T(2, 5), we can create an augmented matrix with the standard basis vectors of R²:1 2 1 0 01 2 0 1 1

Using Gaussian elimination to solve this augmented matrix, we get:A = \begin{bmatrix} 1 & 2 \\ 0 & 1 \\ -1 & 1 \end{bmatrix}

Now, we can apply T to (0, 1) as follows: T(0, 1) = A(0, 1) = \begin{bmatrix} 1 & 2 \\ 0 & 1 \\ -1 & 1 \end{bmatrix} \begin{bmatrix} 0 \\ 1 \end{bmatrix} = \begin{bmatrix} 2 \\ 1 \\ 0 \end{bmatrix}

Therefore, the answer is option (b) (-2, 1, -1).

Know more about linear mapping here,

https://brainly.com/question/32560791

#SPJ11

Write the decimal expansion for 911/27

Answers

Answer: 33.740741

Step-by-step explanation:

mama, papa. Santa Claus in the living room

Henry bought a package of cough drops for $3.79. He gave the clerk a $5 bill. How much change should he receive?

Answers

Answer:

$1.21 he will recieve

Step-by-step explanation:

Subtract the price of the cough drops from $5

5-3.79 = 1.21

He gets $1.21 back.

Vinny worked 8 hours and was paid a total of $66. At this rate, how long
would it take Vinny to earn $165?
a. 40.5 hours
b. 20 hours
c. 15 hours
d. 2½ hours

Answers

Answer:

b, 20 hours

Step-by-step explanation:

First, find out how many times 66 (what Vinny made) goes into 165. (what Vinny wants to make) the answer is 2.5. Then, multiply 8 by 2.5 as well. You get 20. The answer is b, 20.

I hope this helps!

A triangle has side lengths 1 units, 1 units, and x units. Determine the range in which x must lie in order for a triangle to exist.
Responses
A -1 < x < 2-1 < x < 2
B 1 < x < 21 < x < 2
C 0 < x < 20 < x < 2
D 0 < x < 1

Answers

The range in which x must lie in order for a triangle to exist is: 0 < x < 2.

The correct option is (D). 0 < x < 1.

A triangle has side lengths of 1 units, 1 units, and x units.

Determine the range in which x must lie in order for a triangle to exist.

Triangle is the type of polygon that is formed when three line segments join.

A triangle can be formed when and only when the sum of any two sides is greater than the third side.

Using the triangle inequality theorem we know that,1 + 1 > x1 + x > 11 + x > 1x > 0

Now combining both results:

x > 0

Therefore, the range in which x must lie in order for a triangle to exist is: 0 < x < 2.The correct option is (D). 0 < x < 1.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ11

Other Questions
What is the value of p? 90 A 909 B. 60 OC. 50 O D. 40 100 POINTS NEED ASAPStep 1-use the same question your wrote your claim for."What is a possible theme for "The Three Brass Pennies"?Step2-Write 2 sentences total. C=CLAIM(1 sentence) and E=EVIDENCE(1 sentence)Your first sentence should be the claim(1 sentence) from lesson 1.04 Paragraph Writing #1. Your second sentence is your evidence to support your claim.Answer the writing prompt(2 sentences total) by typing in the text box. What is blood vessels that carry blood from the heart to the rest of the body called? How do impulses cross synapses between neurons? *1. through osmosis2. by a cell body3. by a chemical (neurotransmitter)4. it jumps across What is a vesting period? company c has a fixed charge coverage ratio of 3 times and company d has a fixed charge coverage ratio of 4 times. looking at only this ratio, which company is in a better financial condition. How to find x^2=5 using radicals Which of the following is a common sign that a chemical change has occurred? Use p = 2 and p = 8 to determine if the two expressions are equivalent. 4(2 + p) 14 + p Complete the statements. Shawndra has $30 in her account and deposits $5 per week. Juan has $150 andwithdraws $10 each week. After how many weeks will their balances be thesame? A person has an address attribute. the address is represented by a class named address (the type of this attribute is address). what kind of relationship is this? Give the percent of the area under the normal curve represented by the shaded region. (don't forget to type the % sign) Make x the subject of the formula 62a2c Please help me with this :) in dry air, 78.0% of the molecules are N2 and 21.0 % of the molecules are O2. (a) What is the mole fraction of each gas in dry air? Mole Fraction of nitrogen Mol fraction of oxygen (b) What is the partial pressure of each gas (in mmHg) when the atmospheric pressure is 745 mm Hg? Partial pressure of nitrogen : Partial pressure of oxygen Give 3 sig figs in all your answers and only the numerical value. Explain how nitrogen and phosphorus, the nutrients that most often limit primary production, are necessary for the Calvin cycle to function in photosynthesis (see Concept 10.3). Is it possible to have triangle with 7cm 9cm and 15cm as sides? what is photography ........... if she continues shooting until she misses three, what is the probability that the third miss occurs on the 30th attempt The National Flood Insurance Program (NFIP) has numerous provisions. Briefly explain each of the following: a. Write-your-own program