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

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Related Questions

(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! :)

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

( - 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

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]

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.

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.

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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

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

Answers

Answer:

Last option, - 1 / 20

Step-by-step explanation:

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

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].

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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.

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

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.

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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.

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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.

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Answer:

f of 0 = 6

Step-by-step explanation:

Edge

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]

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.

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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.

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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

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

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

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.

I need help and pls help

Answers

Answer:

ok no problem

i am here to give knowledge

7. The answer is x=-2

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.

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


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_♡_

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

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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.

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