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3 years ago

PLEASE HELP FAST! Solve for Y in the following system of equations!

Mathematics

1 answer:

victus00 [196]3 years ago

7 0

Answer:

B.) 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - y = -1

3x + 5y = 21

Step 2: Rewrite Systems

x - y = -1

Add y to both sides: x = y - 1

Step 3: Redefine Systems

x = y - 1

3x + 5y = 21

Step 4: Solve for y

Substitution

Substitute in x: 3(y - 1) + 5y = 21
Distribute 3: 3y - 3 + 5y = 21
Combine like terms: 8y - 3 = 21
Add 3 to both sides: 8y = 24
Divide 8 on both sides: y = 3

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The table below shows the number of cups of coffee people drink a day

Effectus [21]

The mean of a distribution is the sum of the data elements divided by the count of the dataset.

The mean of the distribution is 4

The complete table is given as

$\left[\begin{array}{cc}People & Frequency &0 - 2 & 5 & 3 - 5 & 25 & 6 - 8 & 5\end{array}\right]$

The complete question requires that, we calculate the mean of the dataset

First, we calculate the class midpoint

This is the average of the class interval

For interval 0 - 2,

$x_1 = \frac{0 + 2}{2} = 1$

For interval 3 - 5,

$x_2 = \frac{3 + 5}{2} = 4$

For interval 6 - 8

$x_3 = \frac{6 + 8}{2} = 7$

So, the table becomes

$\left[\begin{array}{ccc}People & x & Frequency &0 - 2 &1 & 5 & 3 - 5 & 4& 25 & 6 - 8& 7 & 5\end{array}\right]$

The mean is then calculated as:

$\bar x = \frac{\sum fx}{\sum f }$

This gives

$\bar x = \frac{5 \times 1 + 25 \times 4 + 5 \times 7}{5 + 25 + 5}$

$\bar x = \frac{140}{35}$

$\bar x = 4$

Hence, the mean of the distribution is 4

Read more about mean at:

brainly.com/question/17060266

4 0

2 years ago

Read 2 more answers

100 POINTS FOR WHOEVER ANSWER THIS QUESTION FULLY!!!

natulia [17]

Answer:

Yes, diagonals bisect each other

Step-by-step explanation:

See attached

Plot the points on the coordinate plane

Visually, it is seen that the diagonals bisect each other.

We can prove this by calculating midpoints of AC and BD

Midpoint of AC has coordinates of:

x = (1 - 1)/2 = 0
y = (4 - 4)/2 = 0

Midpoint of BD has coordinates of:

x = (4 - 4)/2 = 0
y = (-1 + 1)/2 = 0

As per calculations the origin is the bisector of the diagonals.

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3 years ago

What is the function rule for the line

Sindrei [870]

It’s b. Because the number with out the x is the y-interact which is -2 then to find the other number I look at the graph and find another point and then count the rise/run which is rising 2 running 3 and it’s also positive that’s why it’s b.

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3 years ago

The table represents some points on the graph of an exponential function Which function represents the Same relationship?

Rama09 [41]

Answer:

the answer is a b and d

Step-by-step explanation:

I took the quiz

8 0

3 years ago

IM Not too sure on this. can someone please help me out?

DENIUS [597]

All it is asking is to plug the given x values into the equation (which are 0, 2, 4) and see what you get for y.
4y - 2x =16

4y - 2 (0) = 16
4y = 16
y = 4

4y - 2 (2) = 16
4y - 4 = 16
4y = 20
y = 5

4y - 2 (4) = 16
4y - 8 = 16
4y = 24
y = 6

so D

5 0

3 years ago