There are three ways to solve a system of equations. Sometimes it is easier to use one method instead of another. Provide an example of three systems and explain what method should be used to solve and why it is the easiest method given the way the system is written.

Answers

Answer 1
Answer is graphing, substitution and elimination

Explanation

Graphing is easy if you have a graphing app like D e s m o s graphing calculator - where you can plug in the equations and find the point where they intersect.

Substitution works great when the equations are already in y intercept form, substitute one equation into the other for the value of a variable.

Elimination works best when the two equations have one variable that can be eliminated through adding together a same positive and negative variable, such as +2x and -2x

Related Questions

The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases. What does the 10 represent?

A)

The interest the savings account earned for the first year.

B)

The annual interest rate of the savings account.

C)

The number of years the savings account has earned interest.

D)

The starting balance of the savings account.

Answers

The 10 represent in the function f(x) = 10(1. 015)* shows the balance in a savings account as time increases is the starting balance of the savings account.

Therefore the answer is D) The starting balance of the savings account.

The compound interest formula is used to calculate the total interest earned on a principal amount over a period of time, where the interest is compounded at regular intervals. The formula is:

A = P(1 + r)^(t)

Where:

A is the final amount (principal + interest)

P is the principal (initial) amount

r is the annual interest rate (expressed as a decimal)

t is the number of years the money is invested or borrowed

The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases.

So 10 represents the principal (initial) amount

0.014 represents the annual interest rate (expressed as a decimal)

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need help with this

Answers

It’s an acute angle but need help with what?

Answer:

im sorry what exsactly is the question?

Step-by-step explanation:

temperature of an oven in a laboratory rises until it reaches a maximum temperature of 32°C. The oven then stops heating and reactivates only when the temperature goes down to a minimum of 18°C. At 12:00 pm, the oven starts at room temperature, which is 18°C, and takes 3 hours to reach 32°C Write a function in the form 0(t)= Acos(bt)+c, that represents the temperature of the oven, O. in terms of the number of hours, t, since 12:00pm. Then, sketch the function on the provided grid for one full cycle. Be sure to scale your axes trig.

Answers

Answer:

123456789123345

Step-by-step explanation:

PLEASE HELP

WILL GIVE BRAINLIEST

Answers

Answer:

[tex]\frac{9}{10}[/tex] + [tex]6\frac{1}{5}[/tex] = [tex]7\frac{1}{10}[/tex]

Answer:

look at the picture i sent .....

HELP

Answers available are on the picture

Answers

Answer:

[tex]360 = 2\pi \\\\90 = \frac{2\pi }{4} =\frac{\pi }{2} \\\\180 = \pi \\\\270 = \frac{6\pi }{4} = \frac{3\pi }{2}[/tex]

How do you multiply FG?

Answers

FG cannot be multiplied because it is not a numerical value.

Multiplication is a mathematical operation that involves multiplying two numerical values together to produce a single numerical result. In order for multiplication to be possible, both values must be numerical values. FG is not a numerical value, which means that it cannot be multiplied. In order for FG to be multiplied, it would need to be replaced with a numerical value, such as a number or an expression that can be evaluated to a number. Without a numerical value, multiplication is not possible. Multiplying numerical values is done by taking the product of the two values, meaning that the result of the multiplication is the sum of each value multiplied by itself the number of times the other value is. For example, if you were to multiply 3 and 4, the result would be 12 because 3 multiplied by itself 4 times is 12, and 4 multiplied by itself 3 times is also 12. Without numerical values, this operation cannot be performed.

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Please help! Will give brainiest to correct person!! No links please!

Answers

Answer:

39 inch

Step-by-step explanation:

Answer:

H=39.0625

Step-by-step explanation:

D=32in

R=1/2d=32/2=16

Volume of cylinder:pi r^2h

V=pir^2h

10000pi=16^2hpi

256h=10000

h=39.0625

a smallercircle passes through the center of, and is tanget to a larger cirlc the area of the smaller circle is 9 square units. What is teh area of the larger circle in square units

Answers

36 square units make up the larger circle's surface area.

We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.

Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.

We know that the area of a circle is given by the formula A = πr^2.

We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:

A = πr^2 => r^2 = 9/π => r = sqrt(9/π)

Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:

A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36

So the area of the larger circle is 36 square units

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Substitution method.
y=x - 5
y —3х – у = -3

Answers

Answer : ( 1, - 4 )

Explanation : y=x - 5

y —3х – у = -3

Step 1 : Consider the first eqaution. Subtract X from both sides.

y - x = -5

Step 2 : Consider the second eqaution. Combine y and -y to get 0 .

-3x = -3

Step 3 : Divide both sides by -3

x = -3 / -3

Step 4 : Divide -3 by -3 to get 1

x = 1

Step 5 : Consider the first eqaution. Insert the known values of variables into the equation.

y - 1 = -5

Step 6 : Add one to both sides.

y = -5 + 1

Step 7 : Add negative 5 and one to get negative 4 .

y = -4

Therefore, the answer is ( 1, - 4 )

Kenneth opened a savings account and deposited $300.00 as principal. The account earns
14% interest, compounded annually. What is the balance after 8 years?

Use the formula A = P1+
P(1 + r/n)", where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.

Answers

Answer:

$855.78

Step-by-step explanation:

Interest, in this context, is the amount of money a saving account can earn over time.

Compound Interest Formula

There are 2 types of interest: simple and compound. For this question, we are going to use the compound interest formula. This formula is [tex]A = P(1+\frac{r}{n})^{nt}[/tex]. As stated in the question, A is the total balance, P is the principal, r is the interest rate, n is how often the interest is compounded, and t is time.

Variables

The values of these variables for this question are as follows:

P = 300.00

The principal is the initial amount, and the question states that the account starts at 300 dollars.

r = 0.14

The question says the interest rate is 14%, so we can convert this to the decimal 0.14.

n = 1

If something is compounded annually, it is compounded once a year, so n must be 1.

t = 8

If we want to find the balance after 8 years, we should set t equal to 8.

Solving for A

To find A, all we have to do is plug the variables into the formula.

[tex]A = 300(1+\frac{0.14}{1})^{1*8}[/tex]

This can be rewritten as:

[tex]A=300(1.14)^8[/tex]

Solve this to find that A ≈ 855.78. After 8 years, the balance will be $855.78.

* I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*
A circle has a circumference of 10 millimeters. What is the circle's diameter? Use 3.14 for pi and round your answer to the nearest tenth.

Answers

Answer:

To find the diameter divide the circumference by pi

10÷3.14

=3.2 mm

Answer: C3.2

Explanation

A car travels at an average speed of 68 miles per hour. How long does it take to travel 357 miles?

Answers

it would be 5 hours and 17 minutes

or 317 minutes

Which point represents the approximate location of 388 squared

Answers

Answer:

Point D

[tex] \sqrt{388} = 19.7 \\ between \: 19 \: and \: 20[/tex]

Solve the following equation for mathwatch
3x-1/2= x+5/5

Answers

0.75 i think

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=34x=34

Decimal Form:

0.75


Marshall has $8.25 totally in his collection, consisting of quarters and nickels. The number of nickels is three more than the number of quarters. How many nickels and how
many quarters does Ross have?

Answers

Answer:

where did Ross come from? is that just misplaced or what. or am I reading it all wrong

A bag of

.5 red marbles

.6 blue marbles

.3 green marbles

.4 black marbles

.2 yellow marbles

A marble will be drawn from the bag and replaced 100 times how many green and black marbles will be drawn?

Answers

The number of green and black marbles will be 15 and 20 black marbles respectively.

How to illustrate the probability?

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

We have the following information:

5 red marbles

6 blue marbles

3 green marbles

4 black marbles

2 yellow marbles

Total marble = 20 marbles

The number of green marbles:

= 3/20 × 100

= 15

The black marbles will be:

= 4/20 × 100

= 20

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Mrs. Harris took 6 oranges out of the refrigerator and cut them into wedges, each wedge represents 1/6 of the entire orange. Her children at 3/4 of the wedges.

A) how many wedges did her children eat

B) how many wedges are left?

Answers

A = 27
B = 9

Total orange = 6
One orange wedge = 6
Total wedge = 6*6 = 36
36 / 4 = 9
9*3 = 27
36-27 = 9
If it is helpful t

I need to know the andwer to 0.03 divided by 0.81 in division of decimals

Answers

Answer: 0.0370 (Italic part repeats forever)

Step-by-step explanation:

Answer: 0.037...

Step-by-step explanation:

Rewrite 7[tex]x^{\frac{1}{2}[/tex] as a radical expression

Answers

basically, the denominator will always be the number outside of the radical and the numerator will always be your exponent. If it’s one, you don’t put it in because if there is no exponent, it’s an invisible one
The answer would be 7 square root x

An ice cream factory makes 310 quarts of ice cream in 10 hours how many quarts could be made in 48 hours what was the ate per day

Answers

The factory can make 744 quarts of ice cream per day.

To find out how many quarts of ice cream could be made in 48 hours, we can use the principle of proportionality. Since the factory makes 310 quarts of ice cream in 10 hours, we can set up a proportion:

310 quarts / 10 hours = x quarts / 48 hours

To solve for x, we can cross multiply:

310 quarts * 48 hours = 10 hours * x quarts

x = (310 quarts * 48 hours) / 10 hours = 1480 quarts

So the factory could make 1480 quarts of ice cream in 48 hours.

To find the rate per day, we need to divide the number of quarts made per hour by the number of hours in a day. Since there are 24 hours in a day, we can calculate the rate per day as:

rate per day = (310 quarts / 10 hours) * 24 hours = (31 quarts/hour) * 24 hours = 744 quarts/day

So the factory can make 744 quarts of ice cream per day.

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Monty is working on a formula to determine the amount of profit (P) he will make when he sells his pottery. He has already spent $50 on materials and plans to sell each pot for $5. If x represents the number of pots he sells, which formula represents Monty's profit from his sales?

Answers

Answer:

P=5x-50

Step-by-step explanation:

Profit is represented by P.

$5 is what Monty plans to sell each pot for and x represents how many pots he sells.

therefore 5x-50=P

t(28 – 8) = 24(28 – 8)
- 24 1)

Answers

Answer:

24(24)

Step-by-step explanation:

[tex] \rm \mapsto \: t(28 - 8) = 24(28 - 8) \\ \rm \mapsto \: t(24) = 24(24) \\ \rm \mapsto \: 24t = 576 \\ \rm \mapsto \: t = \frac{576}{24} \\ \rm \mapsto \: t = 24[/tex]

The solution to the equations are

a) The quantity ( 28 - 8 ) represents the discounted price of the tickets

b) The total cost of the 24 tickets is given by the equation A = $ 480

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of 24 tickets be represented as A

Now , the equation will be

The initial cost of a ticket = $ 28

The discounted cost of the ticket = $ 8

So , the final cost of the ticket = $ 28 - $ 8 = $ 20

Now , the cost of t tickets = 20t

So , when the value of t = 24

Substitute the value of t in the equation , we get

The cost of 24 tickets A = 20 ( 24 )

On simplifying the equation , we get

The cost of 24 tickets A = $ 480

Therefore , the value of A is $ 480

Hence , the equation is A = $ 480

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simplify 3a - 2(8 +4a)

help pleaseeeeee

Answers

Answer:

-5a - 16

Step-by-step explanation:

Mark as Brainllest

Click on the assignment icon to receive a printout of this construction assignment. Do the assignment and be ready to give it to your teacher for grading if it is requested.

Answers

The Construction is shown below.

What is Perpendicular line?

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

a) Steps for perpendicular line:

To cross the line segment, draw two arcs.Create two more intersecting arcs.Connect the initial point to the intersection of the arcs.

b) Perpendicular Bisector for triangle

Draw arcs with the same radius that are centered at X and Y by opening the compass more than halfway.These two arcs come together at two locations. They will be referred to as points P and Q.The line segment M, which is the perpendicular bisector of the line segment S, should be drawn by placing the ruler where the arcs meet (that is, by connecting points P and Q).we are going to proceed in the same way on all three sides of the triangle to draw its three perpendicular bisectors (Ma, Mb and Mc)

So, if we extend the bisector they can meet inside, at center and outside the triangle.

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60 workers can complete a work in 21 days. How long will it take to complete the some work if 10 more workers were added?​

Answers

Answer:

Step-by-step explanation:

set 1 is the work, then 60 works finish 1/21 per day. [tex]\frac{1}{21*60}[/tex] is the work for per workers. so, the days for 70 workers is [tex]\frac{21*60}{70}=18[/tex] days.

it will spend 18 days to complete

What is the area of the quadrilateral below?
15 m
4 m
O A. 30 square meters
OB. 45 square meters
C. 60 square meters
OD. 75 square meters

Answers

Answer:

C

Step-by-step explanation:

A = Base x height

Base = 15

height = 4

= 60  square meter

Answer:

it is c because all I did was algarithims so yes it would be c

What are the 3 steps for solving a quadratic equation?

Answers

Determine what a, b, and c are worth. the quadratic formula in writing. After that, enter the values for a, b, and c. Simplify.

what is quadratic equation ?

A quadratic polynomial in a single variable is represented by the expression x ax2+bx+c=0, which is a quadratic equation. a 0. Since it is a second order polynomial, the Fundamental Theorem of Algebra guarantees that it has at least one solution. Simple or difficult solutions are both possible. The term "quadratic equation" refers to an equation that is quadratic. It must square at least one word, according to this indication. One of the common solutions for quadratic equations is the formula "ax2 + bx + c = 0." where the variables "X" are undefined and are numerical coefficients or constants a, b, and c.

given

steps are

Find out what a, b, and c are worth.

Quadratic formula: write it down.

Add the values of a, b, and c after that. Simplify.

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Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, Jelani will have 1.5 times as much on his pass as Alexis. Write an equation to represent this situation. How much do Jelani and Alexis have on their subway passes now?

Answers

Answer:

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

x = 20 i.e. Alexis

And, Jelani be 40

Step-by-step explanation:

Given that

Jelani has twice as much as Alexis

And, both can added $20

Jelani will have 1.5 times as much on his pass on Alexis

We need to write an equation also the amount does Jelani and Alexis have

So,

Let us assume the alexis be x

And, Jelani be 2x

Now

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

1.5x + 30 = 2x + 20

-0.5x = -10

x = 20 i.e. Alexis

And, Jelani be 40

The picture shows a shed. Find the length, AB, of the roof.​

Answers

The length AB of the roof is 3.20 m.

What is the Pythagorean theorem.

The Pythagorean theorem is one that can be used to determine the value of the unknown side of a right triangle when given two of its sides.

The theorem states that;

/Hyp/^2 = /Adj/^2 + /Opp/^2

Considering the given picture of the shed, draw a perpendicular to B from a point C on parallel line A. So that the length of AB can be referred to as the hypotenuse of triangle ABC.

Now applying the Pythagorean theorem, we have;

/Hyp/^2 = /Adj/^2 + /Opp/^2

/AB/^2 = /2/^2 + /2.5/^2

            = 4 + 6.25

/AB/^2 = 10.25

AB = (10.25)^ 1/2

AB = 3.20

Thus, the length of AB of the roof is 3.20 m.

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What is the most specific name that can be given to a figure with the following coordinates?
(-10, 8), (-7, 13), (3, 7), and (0, 2)
A. rectangle
B. square
C. trapezoid
D. parallelogram.

Answers

Answer:

a. rectangle

Step-by-step explanation:

i just used desmos so i have no idea how to explain it

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