At MLK Middle School, enrollment increased from 320 students in 2019 to 750 students in 2020 after the pandemic. What is the percent increase in enrollment?

The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

For more question on equation visit:

https://brainly.com/question/29174899

#SPJ8

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

Answer:

yes

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

viola!

hope this helped!

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

hope this helped!

The average annual cοst in 2014 is $4751.6.

The definitiοn οf an equatiοn in algebra is a mathematical statement that demοnstrates the equality οf twο mathematical expressiοns. Fοr instance, the equatiοn 3x + 5 = 14 cοnsists οf the twο equatiοns 3x + 5 and 14, which are separated by the 'equal' sign.

Here the given equatiοn that represent the annual cοst in dοllars.

=> y = 83.66x+3915

Where x= number οf years

In 2004 , t = 0 years

Sο , In 2014 , t = 2014-2004 = 10 years.

Then average annual cοst in 2014 is,

=> y=83.66(10)+3915

=> y=836.6+3915

=> y = $4751.6.

Hence the average annual cοst in 2014 is $4751.6.

To learn more about equation refer the below link

https://brainly.com/question/29336774

#SPJ1

Answer:It would be 40•.25=10

Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off

Step 1: Y= 27 - 4x

To find X - intercept / zero, substitute Y = 0

0 = 27 - 4x

Step 2: 0 = 27 - 4x

Move variable to the left-hand side and change it's sign.

4x = 27

Step 3: 4x = 27

divide both sides of the equation by 4

X = 27/4

solution: X = 27/4

Alternate form: X = 6 3/4, X = 6.75

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

If one fifth times w equals negative one eight then w = -5/8

What is Rational numbers?

A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero. In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0.

given that one fifth times w equals negative one eight

we have to find the value of w

one fifth = 1/5

one fifth times w = (1/5)* w

negative one eighth = - 1/8

now according to the question

one fifth times w equals negative one eight

(1/5) *w =  -1/8

now solve the equation , we get

w= (5) * (-1/8)

  = -5/8

Hence ,if  one fifth times w equals negative one eight then w = -5/8

learn more about of fraction here

https://brainly.com/question/10354322

#SPJ9

Answer:x=−2

Step-by-step explanation:

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

Read more about fraction

brainly.com/question/17220365

#SPJ1

Answer:

x = -76 , y = 57

Step-by-step explanation:

5x - 6y = -38

3x + 4y = 0

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

use 4 to multiply equation 1

5x(4) - 6y(4) = - 38(4)

20x -24y = -152

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

use 6 to multiply equation 2

3x(6) + 4y(6) = 0(6)

18x + 24y = 0

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

20x - 24y = -152

18x + 24y = 0

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

2x = -152

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

divide 2 by both sides

x = -76

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

to find y, slot in the of x to either equation 1 or 2

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

equation 2

3x + 4y = 0

3(-76) + 4y = 0

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

-228 + 4y = 0

4y = 228 - 0

4y = 228

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

divide both sides by 4

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

y = 57

for this type of question, you can use

i used substitution method

hope it helps

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

For such more question on factor

https://brainly.com/question/24351176

#SPJ8

Answer:

The equation would be helpful - but it would be the exact same equation just doubled. If you simplified it it would still equal the same

Step-by-step explanation:

Answer:

Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.

Step-by-step explanation:

Answer:

hey There

Step-by-step explanation:

This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).

Answer:

66.9%

i hope thats right

solve  -6x2-3x+12 dived by 3x-3 using pemdas

Step-by-step explanation:

The question is how to divide this this is how to solve it

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

90  berries

Step-by-step explanation:

The probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm is 0.7486

First, we need to calculate the z-score for the sample mean:

z = (x - μ) / (σ / √n)

z = (168.58 - 169) / (2.2 / √10)

z = -0.67

Next, we need to find the probability that a randomly selected bundle of steel rods will have a mean length greater than 168.58 cm. This is equivalent to finding the area under the standard normal distribution curve to the right of z = -0.67.

Using a standard normal distribution table or calculator, we find that the probability is 0.7486.

Learn more about probability on

https://brainly.com/question/24756209

#SPJ1

Answer:

\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.

Step-by-step explanation:

Answer:

61.25 cm^3

Step-by-step explanation:

V=whl=3.5·2.5·7=61.25

Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

Answer:

Umm which one

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be the letters A, B, A, and B can thus be arranged in six distinct ways.

Using what was learned, utilising this varied approach, and combining all crucial factors from prior researchers who employed a certain methodology can enable completion of the assignment. The entity indicated in the proposition can then either also be discovered or both crucial processes will definitely miss the expression if the desired claim outcome occurs. A refundable prepayment of Rupees ($1.21) may be needed for fifty pens.

Here,

The following formula can be used to create permutations of n objects with repeats of k1, k2,..., kr objects of each type:

=> n!/(k1! * k2! * ... * kr!)

We have two different object kinds (A and B) here, both of which are repeated twice. As a result, we have:

n = 4 (the total number of things) (the total number of objects)

=>k1 = k2 = 2 (the number of objects of each category) (the number of objects of each type)

The result of the formula is:

=> 4!/(2! * 2!) = 24/(2 * 2) = 6

The letters A, B, A, and B can thus be arranged in six distinct ways.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

64

Step-by-step explanation:

your doubling the answer so

2+2=4. >first week

4+4=8. > second week

8+8=16. > third week

16+16=32. > fourth week

32+32=64 > fith week

The triangles are not similar

Given data ,

Let the first triangle be ΔJKL

Let the second triangle be ΔMNP

Now , the corresponding sides are

JK / JL ≠ NM / MP

where the corresponding sides of similar triangles are not in the same ratio

And , the common angle to both the triangles is ∠J = ∠M

So , ∠J = ∠M and JK / JL ≠ NM / MP

Hence , the triangles are not similar

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ1

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

Learn more on quadratic functions ; https://brainly.com/question/1214333

#SPJ1

Answer:

87.96

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C=πd=π·28≈87.96

Answer:

28π meters or approximately 87.96 meters.

Step-by-step explanation:

Divide 28 by 2 to find the radius is 14 meters. Use the formula C = 2πr to find that the answer is 28π; C = 2π(14) -> 28π.