Algebra 2 11th grade

Algebra 2 11th Grade

Answers

Answer 1

4. If x = y + 3, then in the second equation you can write

-3 (y + 3) + 3y = 6

Expanding and simplifying gives

-3y - 9 + 3y = 6

-9 = 6

but this is clearly not true, so this system as no solution.

5. Solve the first equation for x :

x + 2y = 4   ===>   x = -2y + 4

Substitute into the other equation:

2 (-2y + 4) - 3y = 1

-4y + 8 - 3y = 1

-7y = -7

y = 1

Solve for x :

x = -2•1 + 4

x = -2 + 4

x = 2

6. Solve the first equation for y :

2x - y = 6   ===>   y = 2x - 6

Substitute into the other equation:

x + 2 (2x - 6) = -2

x + 4x - 12 = -2

5x = 10

x = 2

Solve for y :

y = 2•2 - 6

y = 4 - 6

y = -2

7. Solve either equation for x :

x + 4y = 10   ===>   x = -4y + 10

Substitute into the other equation:

(-4y + 10) - 2y = -8

-6y = -18

y = 3

Solve for x :

x = -4•3 + 10

x = -12 + 10

x = -2

8. Solve the first equation for y :

-2x + y = 1   ===>   y = 2x + 1

Substitute into the other equation:

4x - 2 (2x + 1) = 5

4x - 4x - 2 = 5

-2 = 5

This is false, so there is no solution.

9. Solve the second equation for x :

-x - 4y = -3   ===>   x = -4y + 3

Substitute into the other equation:

2 (-4y + 3) + 8y = 6

-8y + 6 + 8y = 6

0 = 0

This means any value of x and y will satisfy these two equations, so there are infinitely many solutions.


Related Questions

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Please show your work)

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (14,4)² - 9²

x² = 207,36 - 81

x² = 126,36

x = 11,2

he difference of 29 and n

Answers

Answer:

absolute value of n - 29

Step-by-step explanation:

n - 29

When considering order of operations (PEMDAS), addition will ALWAYS come before subtraction.

True
False

Answers

Parenthises

Exponent

Multiply

Divide

Add

Subtract

The answer is true because it comes before subtraction in the phrase PEMDAS.

Answer:

true

Step-by-step explanation:

please

excuse

my

dear

aunt

sally

aunt is the addition while sally is subtraction therefore it is true hope this helps!! :D

Correct=Brainlest Evaluate (-4-0.7-1)÷-4 Convert into a decimal​

Answers

Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425

Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).

How do you solve fractions step by step?

   Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10

   a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1

   b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

   0.7/1 = 7/10

   Note: 7/10 is called a decimal fraction.

   c) Simplify and reduce the fraction

   7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1

   Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus four minus seven tenths = minus forty-seven tenths.

   Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.

   Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40

   Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.

In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards, how far apart were the ball carrier and defender when they started? Answer with appropriate precision. (Hint: Use the Pythagorean Theorem.)

Answers

Answer:

Step-by-step explanation:

The ball carrier and defender were 20.62 ft apart

Let the path the ball carrier runs = x and y = path of pursuit and L = distance between defender and ball carrier when they started.

x, L and y form a right angled triangle with y being the hypotenuse side of the triangle.

From Pythagoras' theorem,

x² + L² = y²

So, L² = y² - x²

L = √(y² - x²)

Since x = 40 yards and y = 45 yards,

#substituting the values of the variables into the equation, we have

L = √(y² - x²)

L = √(45² - 40²)

L = √(2025 - 1600)

L = √425

L = 20.62 ft

So, the ball carrier and defender were 20.62 ft apart

Learn more about Pythagoras' theorem here:

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What could be the possible one's digit of the square root of 3721 ?
3 , 4
1 , 9
6 , 7
7 , 8

Answers

Answer:

6,1 because 61's square root is 3721

What type of polynomial is P(x)=x3−1?
A. cubic
B. quintic
C. linear
D. quartic

Answers

Answer:

A.

Step-by-step explanation:

Cubic because the highest exponent is 3.

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic. Hence, option A is correct.

What are polynomials forms?

Generally, polynomials take the form,

P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z

where:

a, b....= arbitrary constants

x = variable

n = highest power of the variable in the polynomial

The given polynomial is P(x) = x^3−1

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic.

Cubic function is one that has the highest exponent is 3.

Hence, option A is correct.

Read more about this concept;

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Find the missing length to the nearest tenth. Look at the shape.

Answers

Use the Pythagorean theorem:
A^2+b^2=c^2

16+64=c^2
80=c^2
c= sqrt80
=8.94 approx

Answer: [tex]4\sqrt{5}[/tex]/9.0

Step-by-step explanation:

Simple way: Pythagorean Theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

C being hypotenuse. A and B are bases that are interchangeable.

In this question, you are missing the hypotenuse.

a= 8, b=4 c=?

[tex]8^{2}+4^{2}=c^{2}[/tex]

[tex]64+16=c^{2}[/tex]

To get rid of [tex]c^{2}[/tex]. Square both sides.

[tex]\sqrt{64+16} =\sqrt{c^{2} }[/tex]

[tex]\sqrt{80}=c[/tex]

Simplify [tex]\sqrt{80}[/tex]

[tex]\sqrt{4*4*5} =4\sqrt{5}[/tex]

or 9.0

Anna's car can go 180 miles on 5 gallons of gas. During a drive last weekend. Ann used 8 gallons of gas. How far did she drive?

Answers

Answer:

Ann drove  miles

Step-by-step explanation:

You have to do 180 / 5 = 36 wich is how many miles is in 1 gallon

Then you do 36x8 = 288

Hope this helps !!

Have a blessed day <333

She drove 288 miles.

Just divide 180 by 5, which is 36, then multiply it by 8

PLEASE HELP THANK YOU AND HAVE A GOOD DAY! The answer is not D by the way!

Answers

Answer:

answer a

Step-by-step explanation: cause it will equal up and it has to be negitive on answer so u divided it and youll get a

For how many shoe strings will Toby and Marie have the same amount of money in the account? Must show your work by making a table or solving algebraically by setting the equations equal to each other.

Answers

Answer:

we need more information to solve your problem.

Step-by-step explanation:

A line intersects the points
(8,-10) and (9, 4).
What is the slope of the line in
simplest form?
m = [?]

Answers

Answer: 14

Step-by-step explanation:

The s is equal to the change of y/change of x. That means you have to subtract 4 and -10, and the denominator is 9 minus 8. It looks like this:

m=4-(-10)/9-8

m=4+10/9-8

m=14/1

m= 14

HELP GRAPH THE LINE THAT REPRESENTS THIS EQUATION

y +2 = 1/2(x +2)

Answers

Answer:

Step-by-step explanation:

HELPPPPP PLEASEEEEEEEEEEE

Answers

Answer:

60 students are divided into equal groups of 5 student each.

Groups of 5 students per group totaled up to 60 students.

The quotient in both expression is 60:5 = 12 students per group.

Step-by-step explanation:

The ratio expression is a way of expressing the division of numerator by a denominator.

Here,

The total number of students is the numerator = 60

The denominator is the number of students per group = 5

Hence, the quotient is the value of the divison obtained which is (60/2) = 12

Therefore, there are 12 groups of 5 students.

Solve the following equation: -5 = 15x​

Answers

Answer:

x=-3.33

Step-by-step explanation:

-5=15x

x=-5/15

x=-3.33

Answer:

x=negative [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

15x=-5

\frac{15x}{15}=\frac{-5}{15}

x=-\frac{1}{3}

if someone writes "/" does it mean Division or a Fraction Line

Answers

Fraction line is what it means like 1/2 is the fraction 1 half

PLSSS HLEPP ME OUTT ITS URGENTTTT​

Answers

Let the numbers be 7x and 4x
According to question
7x-4x =57
3x =57
X=57/3
X=19
So the numbers are
7x=7*19=133
4x=4*19=76

At a movie theater, there were 7 kids
for every 2 adults. If kids tickets cost $5
and adult tickets cost $8, how much
money did the theater make if there
were 54 people in the theater?

Answers

There are 12 adults and 42 kids, which in total cost $306

Answer:

$306

Step-by-step explanation:

Adult cost = no of adult × adult cost

no of adult = 12

adult tickets cost = $8

= 12 x $8

= $96

kids cost = no of kids x kids tickets cost

no of kids = 42

kids tickets cost = $5

= 42 x $5

= $210

total sales for the theatre =$96 +$210

= $306

A bouncy ball is dropped. The function h(n)=300(3/4)^n−1 models the maximum height of the ball, in centimeters, after its nth bounce.

Select EACH true statement about the scenario.

[] The function represents a geometric sequence.
[] The first term in the sequence is 300.
[] The height of the ball after the first bounce is 300 cm.
[] The ball is dropped from a height of 300 cm.

*Multiple Choice*

Answers

The true statements about the scenario are;

The function represents a geometric sequence. The first term in the sequence is 300.

The standard form of a geometric sequence is expressed as:

[tex]Tn = ar^{n-1}[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the expression [tex]h(n)=300(\frac{3}{4} )^{n-1}[/tex]

Compare and contrast

a = 300

This shows that the first term of the sequence is 300.

Also, a function represents a geometric sequence

Hence the true statements about the scenario are;

The function represents a geometric sequence. The first term in the sequence is 300.

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Out of the four benefits of direct deposit (safety, convenience, quick access to money, increased savings), which is the MOST compelling? Why?

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME I DONT GET THIS..​

Answers

I’m also doing my homework but just search how to solve for an area of a circle :) I’m 100% sure it will help
Hi so it's ask for area of circle an you know that formula for area of circle is πr2 r (radius)What is π? We have two formula π which is 22/7 or 3.142.So for this question i will use 22/7.If you look at question 2,4 and 6 you can see the diameter which line straight to the circumference. That's call diameter. But in the formula it want r which mean radius. So the diameter÷2

Hopes this help

Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs.

Answers

equation: 3x + 2.06 = 5.06

x = 1

Step-by-step explanation:

The cost of each bottle is $1.

What is 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. LHS = RHS is a common mathematical formula.

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:

Enola bought a bag of oranges for $2.06 and a 3-pack of juice bottles.

The total cost before tax was $5.06.

let the cost of one juice bottle be x.

So, the equation is

2.06 + 3x = 5.06

3x = 5.06 - 2.06

3x= 3

x= 1

Hence, the cost of each bottle is $1.

Learn more about equation here:

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I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

1.)  1 ,2, 31, 62

2.)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1.)  1x62= 62

2x31= 62

31x2= 62

62x1=62

Each of these number are a multiple of 62.

2.) 1x45=45

3x15=45

5x9= 45

9x5= 45

3.) 420÷2= 210

420÷3= 140

420÷5= 84

420÷6= 70

420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420

540÷2= 270

540÷3= 180

540÷5= 108

540÷6= 90

540÷9= 60

540÷10= 54

2, 3, 5, 6, 9 and 10 is divisible by all of these numbers

Answer:

1)  1 ,2, 31, 62

2)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1)  62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.

2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.

3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list.  The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.

-kiniwih426

What is the end of your proof? (What are you proving?)

Answers

Answer

with

Step-by-step explanation:

Statement      Reasons

1.∠1 ≅ 4             Given

2.∠1 = ∠2           Being Vertically opposite angles.

3.∠4 = ∠3          Being Vertically opposite angles.  

4.∠2 = 3             From Statement no 2 & 3, Transitive property.

5.∠2 ≅ 3            From Statement 4

Proved.

Pls help me !!!!!! With question number one

1. Angelica is five years less than double Jaheim’s age . Jaheim is 14years old . How many years old is Angelica

Answers

Answer:

23

Step-by-step explanation:

14x2=28-5=23

Answer:

23

Step-by-step explanation:

add 14+14= 28-5=23

Translate the blue shape to the pink shape...

help me quick please

Answers

Answer:

I can't help you if there's no picture lol

Sau một thời gian sử dụng, một tủ sách nghệ thuật đã có dấu hiệu bị xuống cấp và
cần sửa lại (xem hình vẽ). Các ngăn BC, DE và FG gỗ bị
mục và cần thay mới. Chủ nhà sách cần 3 miếng ván sao
cho khớp với các vị trí này. Em hãy giúp chủ nhà sách
tính toán chiều dài các miếng ván này sao cho khớp với
các vị trí cần thay thế. Biết ngăn HI=12 dm. Tính chiều
dài các ngăn BC;DE;FG

Answers

Answer:

Step-by-step explanation:

A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
-6
meters (m),
and 1 nanometer (nm) is equal to 10-9m, then how many nanometers wide is a human hair?
A
0.0004 nm
B
0.004 nm
C
4,000 nm
D
40,000 nm

Answers

Answer:

D 40,000nm

Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um

Therefore in 40 microns there are:

40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm

The human hair is 40,000 nanometers wide.

Option D is the correct answer.

Given,

A human hair is approximately 40 microns (um) wide.

1 um is equal to [tex]10^{-6}[/tex] meters (m)

1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.

We need to find how many nanometers wide is human hair.

How do we add exponents?

We can add the exponents if we have the same base.

Example:

a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]

[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]

We have,

Human hair = 40 microns (um) wide.

And,

1 um = [tex]10^{-6}[/tex] m

1 nm = [tex]10^{-9}[/tex] m

[tex]10^{-9}[/tex] m = 1 nm

Multiplying by 10³ on both sides.

[tex]10^{-9}[/tex] x 10³ = 10³ nm

[tex]10^{(-9+3)}[/tex] = 10³ nm

[tex]10^{-6}[/tex] m = 10³ nm

1 um = [tex]10^{-6}[/tex]m

1 um = 10³ nm

Human hair = 40 um

1 um = 10³ nm

Multiplying 40 on both sides.

40 x 1 um = 40 x 10³ nm

40 um = 40 x 1000 nm

40 um = 40,000 nm

Thus human hair is 40,000 nanometers wide.

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Pls help!!! Will mark brainliest!! links will be reported.

Answers

I hope this is the right answer and if it's not then my apologies.

And sorry it took so long.

the shopkeeper sold a laptop having its cost price rupees 25000 at a profit of 25% find its selling price ​

Answers

Answer:

Let's see what we have here. A shopkeeper sold Item X for a his selling price (SP).

Let SP = x

Since the question says that Profit is 25% of the selling price, we have:

Profit = 25% SP = 0.25x

Now, we already know that:

Profit = SP - Cost

This part is the catch. To find out how much Item X originally cost,

Cost = SP - Profit = x - 0.25x = 0.75x

Now that we know the original cost of Item X, we can easily calculate the Real profit % using this formula:

= (Profit/Cost)*100

= (0.25x/0.75x)*100

= 33%

And there you have it. Hope I explained it clear enough.

Answer:

Step-by-step explanation:

Cost price = CP = ₹ 25,000

Profit% = 25%

Selling price = SP

[tex]SP =\dfrac{100+profit}{100}*CP\\\\\\=\dfrac{100+25}{100}*25000\\\\=\dfrac{125}{100}*25000[/tex]

= 125 * 250

= ₹31250

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