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2 years ago

How do I do this problem with solution by elimination? 2x+y=3 -2x+5y=-9

Mathematics

1 answer:

ddd [48]2 years ago

7 0

Answer:

(2, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x + y = 3

-2x + 5y = -9

Step 2: Solve for y

Elimination

Combine equations: 6y = -6
Divide 6 on both sides: y = -1

Step 3: Solve for x

Define equation: 2x + y = 3
Substitute in y: 2x - 1 = 3
Isolate y term: 2x = 4
Isolate y: x = 2

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What are the domain and range of f(x)-[x-2] +1

svetlana [45]

Replace f(x)f(x) with yy.y=x2−1y=x2-1

Interchange the variables.x=y2−1x=y2-1

Solve for yy.
y=√1+x,−√1+xy=1+x,-1+x

Solve for yy and replace with f−1(x)f-1(x).
This is your answer=f−1(x)=√1+x,−√1+xf-1(x)=1+x,-1+x
Hope you have a wonderful day! hope this helps!

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2 years ago

If the variance of the "number of daily parking tickets issued is 100, the standard deviation is defined as the _____________. A

Alex17521 [72]

Answer:

Square root of the variance of the "number of daily parking tickets"

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are.

Its symbol is σ (the Greek letter sigma)

The formula is easy: it is the square root of the Variance.

8 0

2 years ago

NO SCAM. PLEASE SHOW WORK. WILL GIVE BRAINLY TO CORRECT ANSWER.

sergeinik [125]

Answer:

$140$

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

$3a+b+3=2a+2b+6$

Solving, we will get a in terms of b:

$3a=2a+b+3,\\a=b+3$

Now we can substitute a for (b+3) into our equation:

$5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}$

Therefore, the length of each side of this polygon is $5(4+3)-2(4)+1=28$ .

Since the perimeter of the polygon consists of all five sides, the perimeter is:

$p=28\cdot 5 =\boxed{140}$

6 0

2 years ago

Read 2 more answers

Daisy spent a total of $31 before tax on ice cream. the table below shows the different flavors she bought. a carton of strawber

notsponge [240]

The cost of 1 vanilla ice cream and 1 strawberry ice cream should total to $31. Since you only bought one of each flavor, you simply have to add their unit prices.

Cost for 1 carton of strawberry ice cream + Cost for 1 carton of vanilla ice cream = Total Cost
Total Cost = s + v --> this is the general equation

Since s = 1.5 + v, the modified equation would be
Total Cost = 1.5 + v + v
Total Cost = 1.5 + 2v

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2 years ago

In the diagram Shown a 2 foot wide flower border surrounds the heart shaped pond.What is the area of the border?

Dimas [21]

This figure is what we would call a composite figure. A composite figure is a shape that is made up of multiple other shapes. when looking at the pond and the border that surrounds it, we can see that this heart shape is made up of two semi circles and a square. To find the area of the border, we will use the area formulas for semi circles and for squares:

Semi Circle Area Formula: $\pi r^{2}$ ÷ 2
Square Area Formula: length x width

Pi = 3.14
Radius = Half of the diameter, in this case 6

After finding the area of each shape, we can subtract the 2 ft width to find the area of the flower bed border.

8 0

2 years ago

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