Complete the table of values for the equation, 16x + 4y = 12.

x y
-2
-1
0
1
2

Answers

Answer 1

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

Linear Function

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope;b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x  for finding the values of y.

Thus,

For x= -2,  the value of y will be:

       16*(-2)+4y=12

      -32+4y=12

      4y=12+32

     4y=44

      y=11

For x= -1,  the value of y will be:

         16*(-1)+4y=12

-16+4y=124y=12+164y=28y=7For x= 0,  the value of y will be:

         16*(0)+4y=12

0+4y=124y=124y=12y=3For x= 1,  the value of y will be:

         16*(1)+4y=12

16+4y=124y=12-164y=-4y= -1For x= 2,  the value of y will be:

         16*(2)+4y=12

32+4y=124y=12-324y=-20y= -5

Read more about the linear equation here:

brainly.com/question/1884491

#SPJ1


Related Questions

Marco's living room is 4 meters wide and 6 meters long. He wants to install white carpet that costs $8.91 per square meter. How much will it cost to buy enough carpet for the living room?

Answers

Answer:

$213.84

Step-by-step explanation:

Think of a rectangle. In the case the length is 6 meters and the width is for meters. To be able to find the area of this rectangle, you need to multiply the length by the width. 6 multiplied by 4 is 24. In the equation it tells you that 1 square meter is $8.91, so now you are trying to figure how much 24 square meters would cost. To figure this out, you will need to multiple 24 by $8.91 giving you $213.84.

Hope this helps.

write the next whole number after 123four in the base four system

Answers

Answer:

130

Step-by-step explanation:

can't have a 4 in units so carry over

The next whole number after 123 in base four is 130.

What is the base of a number system?

The entire amount of digits employed in a specific number system is referred to as the base of that system. The [0, b -1] range is occupied by the digits of the base "b" number system. The radix of a number system is another name for this base of the number system.

Given, A number in base four, 123.

Now, In base four there are 4 numbers they are 0, 1, 2, 3.

the next whole number in the number (123)₄ will be (130),

As after adding 1 to the unit digit it will become 'zero' and 1 will carry over.

learn more about hexadecimal numbers here :

https://brainly.com/question/13262331

#SPJ2

plssssssssssssssssss answer corectly

Answers

Answer:

1.equilateral

2.isosceles

3.isosceles

4.isosceles and right

5.scalene

6.scalene and right

7.isosceles and right

8.isosceles

9.equilateral

Find the x-intercepts of the parabola with
vertex (-3,405) and y-intercept (0,360).
Write your answer in this form: (X₁,Y₁), (X2,₂).
If necessary, round to the nearest hundredth.
Enter the correct answer.

Answers

Answer: (-12, 0) and (6, 0)

Step-by-step explanation:

The equation of the parabola is of the form

[tex]y=a(x+3)^2 + 405[/tex]. To find a, we can substitute in the coordinates (0,360).

[tex]360=a(0+3)^2 + 405\\\\360=9a+405\\\\-45=9a\\\\a=-5[/tex]

So, the equation is [tex]y=-5(x+3)^2 + 405[/tex]. Setting this equal to 0,

[tex]-5(x+3)^2 + 405=0\\\\5(x+3)^2 = 405\\\\(x+3)^2 = 81\\x+3=\pm 9\\\\x=-12, 6[/tex]

So, the x-intercepts are (-12, 0) and (6, 0).

7x-5=30
I need this explained for me please

Answers

Step-by-step explanation:

7x-5=30

Firstly -5 will cross the equality sign and become +5. so we'll have

7x=30+5=35

7x=35 we'll divide both sides by 7

giving u

7x/7=35/7

=x=5

therefore x=5.

CONFIRMATION

7*5-5=30

PLS MARK ME AS BRAINLIEST

Answer:

x = 5.

Step-by-step explanation:

Solve for X:

7x - 5 = 30= 7 * x= 7(5)= 35 - 5= 30x = 5.Hence, answer is x = 5.

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68

Answers

Answer:

answer is b

Step-by-step explanation:

because all you need to do is flip the signs.

Solve the rational equation:
2x 2x-5 -3 x-1 x²-3x+2 X-2
A. x= -0.47, X = -3.27 O
B. There is no solution.
C. X = -2, x = -1
D. x = 1, x = 2​

Answers

The solution to the equation [tex]\frac{2x}{x - 1} - \frac{2x -5}{x^2 - 3x + 2} = \frac{-3}{x -2}[/tex] is (b) there is no solution.

How to solve the rational equation?

The equation is given as:

[tex]\frac{2x}{x - 1} - \frac{2x -5}{x^2 - 3x + 2} = \frac{-3}{x -2}[/tex]

Factorize the quadratic numerator

[tex]\frac{2x}{x - 1} - \frac{2x -5}{(x - 1)(x - 2)} = \frac{-3}{x -2}[/tex]

Multiply through by (x - 1)(x - 2)

2x(x - 2) - (2x -5) = -3(x - 1)

Expand

2x² - 4x - 2x + 5 = -3x + 3

Collect like terms

2x² - 4x - 2x + 3x + 5 - 3 = 0

Evaluate the like terms

2x² - 3x + 2 = 0

Using a graphical tool, the above equation has no real solution

Hence, the solution is (b) there is no solution.

Read more about rational equations at:

https://brainly.com/question/1851758

#SPJ1

(q-1)²

please help!! urgent!!

Answers

Answer:

[tex]q^2-2q+1[/tex]

Step-by-step explanation:

[tex](q-1)^2=(q-1)(q-1)[/tex]

Distribute: [tex]q^2-q-q+1[/tex]

Solve: [tex]q^2-2q+1[/tex]

Hope this helped! Have a great day/night! :)

Select the correct answer. This table represents values of a cubic polynomial function. x-2,-1,0,1,2,3 y-12,0,6,7.5,6,3 Based on the information in the table, which sentence describes the interval [-2, 1]?​

Answers

The sentence which best describes the interval [-2, 1] is; The function is decreasing on the interval [-2, 1].

How to find Coordinates from a Table?

From the given table, we see that from the interval of -2 to 1 we see that the value of y constantly decreased with each value.

This is because the differences where 12, 6 and 1.5. Thus, it is clear that the values of y constantly reduces with each corresponding values of x.

Thus, the function is decreasing on the interval [-2, 1].

Read more about Coordinates at; https://brainly.com/question/7243416

#SPJ1

Solve | 5+7= 17.
1
O A. x= 15 and x = -15
OB. x= -15 and x = -5
OC. x= -15 and x = 5
OD. x= 15 and x = -5

Answers

The solutions of the absolute value equation is determined as 15 and - 5.

Solution to the absolute equation

The solution to the absolute equation is determined as follows;

|x - 5| + 7 = 17

collect similar terms

|x - 5|  = 17 - 7

|x - 5|  = 10

to resolve the absolute values, form two equations as follows;

x - 5 = 10 and x - 5 = -10

x = 15 and x = -5

Thus, the solutions of the absolute value equation is determined as 15 and - 5.

The complete question is given as;

|x - 5| + 7 = 17

Learn more about absolute values here: https://brainly.com/question/1301718

#SPJ1


Annie is birdwatching
during her hike.
She records the types of birds she sees in
the table. What is the experimental
probability for each type of bird she sees
during her hike?

Answers

♨ANSWER♥

1) 13/40

2) 22/40

3) 5/40

...hope this helps...

_♡_mashi_♡_

PLEASE HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Last option, - 1 / 20

Step-by-step explanation:

Pencils cost $0.05. Notebooks cost $0.30. Henry spent $1.40. How many of each did he buy if he bought the same number of pencils and notebooks? A. 3 B. 4 C. 6 D. 8​

Answers

Answer:

b) 4

Step-by-step explanation:

4 times $0.05 = $0.20

4 times $0.30 = $1.20

then you add the both totals together

0.20 + 1.20= $1.40

A tree casts a shadow of 20 meters when the angle of elevation of the sun is 24°
Find the height of the tree to the nearest meter.

Answers

The height of the tree is 9 meters

What is angle of elevation?

This is the angle the line of sight makes with the horizontal.

Analysis:

The line of sight , the shadow length and height of tree form right angled triangle.

Let the height of tree be h

so that, tan 24 = h/20

h = 20 tan 24

h = 20(0.445) = 8.9m = 9m

In conclusion, the height of the tree is 9m.

Learn more about angle of elevation: brainly.com/question/88158

#SPJ1

Explain why In 4 is greater than 1 but is less than 2.

PLEASE HURRY

Answers

Answer:

whats the solution you looking at?

Step-by-step explanation:

4 can be greater than 1 by number wise but also 4 could be -4 or 4 could not add up to the full amount of w for like if you have 4 2 by 2s and 2 16 by 16s 4 would be smaller

[tex]-2x + 14 + 10x = 34[/tex]

Answers

Answer:

x = 2.5

Step-by-step explanation:

- 2x + 14 + 10x = 34 , that is

8x + 14 = 34 ( subtract 14 from both sides )

8x = 20 ( divide both sides by 8 )

x = 2.5

Giovanni was playing with blocks and started with one blue triangular block and kept adding more
blocks to create the following pattern sequence:


See picture


How many blocks would he need on the 12th step of the pattern?
O 34
O 36
O 33
O 37

Answers

Blocks would he need on the 12th step of the pattern is 34.

The correct option is A

What is series?

A series is the cumulative sum of a given sequence of terms.

Given:

We can write the series as follows:

1,4,7,10,13,.......

First term =1

common difference= 4-1=3

Using Arithmetic series

[tex]a_{12}\\[/tex]= a+11d

    =  1 +11*3

    = 1+33

    = 34.

Hence, 34 blocks need on 12th step.

Learn more about arithmetic series here:

https://brainly.com/question/2171130

#SPJ1

The function f(x) is given by the set of ordered pairs.

{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

Which equation is true?

f of negative 10 = 1
f of 2 = negative 10
f of 0 = 6
f of 1 = negative 10

Answers

The true equation will be f(6) = 0. Then the correct option is C.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The function f(x) is given by the set of ordered pairs.

{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

Then the function can be written as

f(abscissa) = ordinate

Then the function will be

f(0) = 6

Then the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

f of 0 = 6

Step-by-step explanation:

Edge

a body starts from rest and moves with uniform acceleration of 4m/s² until it travels a distance of 800m,find the velocity​

Answers

Answer:

80 m/s

Explanation:

Given:

i) initial velocity (as starts from rest) = 0 m/s

ii) acceleration:  4 m/s²

iii) distance travelled: 800 m

Formula required:

(final velocity)² - (initial velocity)² = 2 × acceleration × distance

Now solve:

v² - 0² = 2 × 4 × 800

v² = 6400

v = √6400

v = 80 m/s

A triangle has vertices at (2, 3), (-4, 5), and (-3, 4). What are the coordinates of the vertices
of the image after the translation (x, y) (x + 1, y - 3)?

Answers

[tex](2,3) \longrightarrow (2+1, 3-3)=\boxed{(3,0)}\\(-4,5) \longrightarrow (-4+1, 5-3)=\boxed{(-3, 2)}\\(-3,4) \longrightarrow (-3+1, 4-3)=\boxed{(-2, 1)}[/tex]

I need help and pls help

Answers

Answer:

ok no problem

i am here to give knowledge

7. The answer is x=-2

A line intersects the points (-5,1) and (-2,7). m=2 Write an equation in point slope form using the point (-5,1) y-[?] = ___(x-___)

Answers

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-5)}}} \implies \cfrac{7 -1}{-2 +5}\implies \cfrac{6}{3}\implies 2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{(-5)})\implies y-1=2(x+5)[/tex]

The ratio of the one leg of
the right triangle to the other
leg of the right triangle must
be 8:7. Determine the
greatest length of one leg of
the right triangle given the
other leg of the right triangle
is 10.5 feet.

Answers

Answer:

12 ft

Step-by-step explanation:

We assume right triangle ABC with the right angle being at B. We are given that the ratio of AB/CB = 8/7, and one leg is 10.5.  Let's call the other leg is X. We don't know which leg is which so assume both. Then

(a) assume the X leg is the longer

8 / 7 = X / 10.5

(8 * 10.5) / 7= X

X = 12

OR (b) assume the X leg is the shorter

8/7 = 10.5 / X

(8X / 7) = 10.5

8X = 10.5 * 7

8X =  73.5

X = 9.1875

(a) is the greater so (a) wins

Type the correct answer in each box. Use numerals instead of words.

What is the solution to this matrix equation?

Answers

By using a system of equations, we will see that the solution is:

x = 25, y = -50, z = -15

How to solve the matrix equation?

We can write this as a system of equations:

4x + 2y - z = 15

x + y - z = -10

-3x - y + z = 60

Notice that if we add the second and third equations, we get:

(x + y - z) + (-3x - y + z ) = -10 + 60

-2x = 50

x = 50/-2 = -25

So we already got the value of x. Replacing that in the second equation we et:

25 + y - z = -10

Isolating y we get:

y = -10 - 25 + z = z - 35

Now we can replace that in the first equation:

4x + 2y - z = 15

4*25 + 2*(z - 35) - z = 15

100 + z - 70 = 15

z = 15 - 100 + 70 = -15

And using:

y =  z - 35 = -15 - 35 = -50

Then the soution to the matrix equation is:

x = 25, y = -50, z = -15

If you want to learn more about matrix equations:

https://brainly.com/question/11989522

#SPJ1

Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory.

___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.

___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

___ Overtime wages were required to produce at levels above 25,000 units.

Answers

The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

The cost per unit actually comes down to 0.8$per unit.

We have given that,

The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.

The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

Overtime wages were required to produce at levels above 25,000 units.

What is the cost?

A cost is an expenditure required to produce or sell a product or get an asset ready for normal use.

The cost of production per unit of the item produced is 1$ as long as the total units produced are less than 2500.

If more than 2500 units are produced then the cost per unit actually comes down to 0.8$per unit.

To learn more about the cost of production visit:

https://brainly.com/question/27842242

#SPJ5

Translate (13, 4) to the right 5 and up 2

Answers

Answer:

(18,6)

Step-by-step explanation:

add 5 units to X and 2 to Y

what is the meaning of Interest rate

Answers

Answer:

Interest rate is a proportion of a loan rewarded as interest to the borrower, usually expressed as an annual percent of the current loan.

Answer:

See below

Step-by-step explanation:

An interest rate is basically a percentage of principal charged by the lender for the use of its money, and it is paid via simple interest (usually in an annual period). That principal is the amount of money loaned.

For example, you may have seen a 1.5% annual interest rate, or something like that. This means that if your principal was $5000, let's say, you would have to pay $5000 * 0.015 = $75 in interest per year.

( - 37 + 37 ) ÷ - 15 = What is the answerr​

Answers

Answer:

0

Step-by-step explanation:

[tex]~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0[/tex]

Answer:

0

Step-by-step explanation:

Following PEMDAS -37+37 is 0 and 0/-15 is also 0

he national government would like to start a program that would give states money for flood relief. Which of the following states could most likely benefit from a program like this? Idaho
Oklahoma
Wyoming
Mississippi

Answers

The state that would most likely benefit from this program is the Missippi state due to the incidence of floods.

What type of state would benefit the most?

States constantly affected by floods would benefit the most.

What states are affected by floods?GeorgiaMissisippi

In the case of Mississippi state, the floods are caused by the Mississippi River.

Learn more about Mississippi in: https://brainly.com/question/931281

#SPJ1

Round your answer to the nearest tenth if necessary. Use 3.14 for.
A pan for baking bread is shaped like half a cylinder. It is 16 inches long and 4.5 inches in diameter.
What is the volume of uncooked dough that would fill this pan?
4.5 in.
16 in.
The volume is approximately
in³.


just a little help

Answers

Answer:

127.17 in³

Step-by-step explanation:

V = (1/2)πr²h
(1/2)(3.14)(2.25 in)²(16 in)

(1/2)(3.14)(5.0625 in²)(16 in) = 127.17 in³

Other Questions
what is the area, measured in square centimeters, of the triangle below? Do not include units in your answer Pathogenic bacteria isolated from the respiratory or intestinal tracts of humans are. 4 divided by 5/7 in its mixed form and simplest form y + 2y - 48 ( factor the polynomial ) The following sentence has a dangling modifier.Filling the bicycle tires with plenty of air, the bicycle seemed to race faster.Which revision best corrects the error in the sentence?The bicycle seemed to race faster, filling the bicycle tires with plenty of air.The bicycle, filling the bicycle tires with plenty of air, seemed to race faster.Carmen found that she could race faster, filling the bicycle tires with plenty of air.By filling the bicycle tires with plenty of air, Carmen found that she could race faster.r in the sentence?The team raced to the field to practice for the game, armed with their bats, balls, and mitts.The team raced to the field to practice armed with their bats, balls, and mitts for the game.Armed with their bats, balls, and mitts, the team raced to the field to practice for the game.The team raced armed with their bats, balls, and mitts to the field to practice for the game. What poetic sound devices are found in this line?"Like a thief in the night, the silent snake slithers through an unnoticed crack in the garden wall."1.) Alliteration2.) Consonance3.) Assonance4.)Onomatopoeia The stomach is important for both ________ and ________ digestion. natural and mechanical mechanical and muscular chemical and physical chemical and ruminant Can anyone help me with this?Which of the following are examples of structural adaptations? A. migration, hibernation, instincts, being nocturnal B. body color that helps camouflage, body covering like scales, armour, thick coat of fur, beak, claws C. making venom, secreting slime, digestive enzymes, and altering the immune system. What region of the brain is responsible for complex thinking. What was the thirty years war conflict over ? Stepchildren feel more dissatisfied and avoid more topics with stepparents who have which kind of parenting style 1What is the point of including a subject line on an email message?A.to indicate what time the sender created the messageB.to provide information on the content of the emailC.so the email seems entertaining and funD.so the person receiving the email knows how important the sender isResetNext A defendant is on trial for a murder that occurred during a robbery at the victim's home. a witness helped the police artist compose an accurate depiction of the defendant. the witness was unavailable at the time of trial and the prosecutor offers the sketch into evidence. is the sketch admissible After Andromeda was banished from House Black, what happened to her once she married Ted Tonks? (After her daughter, Nymphadora, was born) BRAINLIEST (9th grade mathematics)Half of the road the boy walked at a speed of 6 m / min, the other half - at a speed of 4 m / min. Calculate the average walking speed of a boy. Which angle is vertical to EID? Thandi has decided to make grocery combos for her shop. The wholesaler where she buys from, sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and there are 15 bags of rice in a carton. How many of each item should she buy so there are an equal number of packets of sugar, packets of flour and bags of rice in each combo? Please solve with explanation (high points) two dozen of pen cost rupee 60.find the cost of 25 such pens. Find the number of students that play A basketball and football but not volleyballB basketball only C none #15 play basketball and volleybal