Mathematics High School

The population growth of two towns over a period of five years is represented by the system of equations below, both algebraically and graphically D IS (10,4) it didn’t show up so

Answers

Answer 1

Answer:

(4, 10)

Step-by-step explanation:

Hope this helps

Answer 2

The solution to the system of equations is the ordered pair in option B. (4, 10).

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Population growth of two towns over a period of five years is represented by the system of equations :

y = x + 6

y = 2x + 2

Here y represents the population growth and x represents the number of years.

Solution of the system of equations is the point where the graph of both equations intersect.

Intersecting point is (4, 10).

Algebraically, we can solve this as,

We have y = x + 6 and y = 2x + 2.

x + 6 = 2x + 2

x - 2x = 2 - 6

x = 4

y = x + 6 = 4 + 6 = 10

So (x, y) = (4, 10)

Hence the solution to the system of equations y = x + 6 and y = 2x + 2 is the point (4, 10).

Learn more about Linear Equations here :

https://brainly.com/question/11897796

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Related Questions

f(x) = 3x² + 4x – 6
g(x) = 6x3 – 5x2 – 2
Find (f – g)(a).

Answers

Step-by-step explanation:

(-6x^3+8x^2+4x-4)

option D is correct answer

Answer:A

Step-by-step explanation:

Find the length of the third side to the nearest tenth. 3 3

Answers

Answer:

4.2

Step-by-step explanation:

Hypotenuse ² = opposite ² + adjacent ²

Opposite = 3

Adjacent = 3

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = 3² + 3²

Hypotenuse ² = 9 + 9

Hypotenuse ² = 18

Find the square root of both sides

√Hypotenuse² = √18

Hypotenuse = √18

Hypotenuse = 4.2426406871192

Hypotenuse = 4.2 to the nearest tenth

Subract the sum of 3a^4b-4b^3+c^2 & 6a^4b+3b^3-6c^2 from the sum of 6a^4b-4b^3-4c^2 & 2a^4b+4b^3+7c^

Answers

Answer:

-a^4b + b^3 - 8c^2

Step-by-step explanation:

Sum of

3a^4b-4b^3+c^2 + 6a^4b+3b^3-6c^2

= 3a^4b + 6a^4b - 4b^3 + 3b^3 + c^2 - 6c^2

= 9a^4b - b^3 - 5c^2

Sum of

6a^4b-4b^3-4c^2 + 2a^4b+4b^3+7c^

= 6a^4b + 2a^4b - 4b^3 + 4b^3 - 4c^2 + 7c^2

= 8a^4b + 3c^2

Subtract

8a^4b + 3c^2 - (9a^4b - b^3 - 5c^2)

= 8a^4b + 3c^2 - 9a^4b + b^3 + 5c^2

= 8a^4b - 9a^4b + b^3 + 3c^2 + 5c^2

= -a^4b + b^3 - 8c^2

1. If s varies directly as t and inversely as v, then which of the following equations describe the relation
among the three variables s, t, and v?

Answers

The answer is s=kt/v

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first is a diamond and the second card is a five.

Answers

Answer:

1/52

Step-by-step explanation:

52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52

how i solve this one

Answers

Answer:

Look at explanation

Step-by-step explanation:

3x - y = 14

-3 -3

x=11

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

5x + 4y = 12

9xy=12

-9 -9

xy=3

x=1.5 y=1.5

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

total= 14

Sorry if wrong btw

this answer is an answer because u want an answer so i’m giving you an answer

1. Find the volume of the cylinder. (no units-round to nearest tenth
7 km
8 km

Answers

Answer:

1407.43 would be your answer

Step-by-step explanation:

The formula is [tex]\pi r^2h[/tex], so plug 8 and 7 into the equation, and you'll get your answer. Hope this helps :)

HELP ME PLEASE!! ASAP THANK YOU

Answers

Answer:

the third and fourth one

Step-by-step explanation:

Answer:

a person can pay 14$ for a membership to the science museum and then go to the mesum for just 1$ per visit what is the maxium number of visits a member of the science museum can make for the total cost of 43$

Answers

Answer:

I think 43 visits

Step-by-step explanation:

I hope this helps you and I hope this is right and have a wonderful day:)

Hello! I won't give you the answer but I'll show you an example to a similar question like that!

Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?

An easy way to solve this is to make an equation.

Let's call the number of times we can visit "x".

So, we pay $6 off the bat, and then pay $1 per visit after.

6+1x

That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.

6+x=18

x=12

We can visit 12 times.

I hope this helps and that now you know the problem is supposed to be solved!

See ya later, pal!

answer this. I will giveBRAINLIEST

Answers

Answer:

Multiply both sides by 3, then subtract 6 from both sides

Step-by-step explanation:

d + 6 / 3 = 6 (multiply both sides by 3)

d + 6 = 18 (subtract 6 from both sides)

d = 12

Answer:

d+6= 18.

d= 12

multiply both sides by 3

subtract 6 from both sides

Suppose you want to get a loan for $ 5 , 000 at an interest rate of 5.3 % for 2 years to be paid back in 24 monthly installments. Calculate this loan using simple interest. What is the amount of the monthly payments? Round the answer to the nearest cent (hundredth).

Answers

Answer:

monthly payment = $56.445

Step-by-step explanation:

given data

loan = $5000

interest rate r = 5.3 % = 0.053

time t = 2 year = 24 months

solution

we will use here amount of the monthly payments formula that is

monthly payment = principal × [tex]\frac{r}{1+(1-r)^{-t}}[/tex] ................1

put here value and we get

monthly payment = 5000 × [tex]\frac{0.053}{1+(1-0.053)^{-24}}\\[/tex]

monthly payment = $56.445

Answer:

Step-by-step explanation:

(2x - 5), (2 +30), and (2x – 5)
Solve for x

Answers

You solve for x it’s your work isn’t it lots

I need help asap pls

Answers

Answer:

[tex]\displaystyle 36° = m∠NQS[/tex]

Step-by-step explanation:

Apply the Midsegment Theorem:

[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]

I am joyous to assist you at any time.

I need help with this ASAP and can you explain so i can understand?!

Answers

Answer:

Adult tickets sold = 225

Student Tickets sold = 375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

[tex]We\:have\\x+y=600\\x=600-y[/tex]

Put in eq(2)

[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]

So, we get value of x = 225

The Tickets sold will be:

Answer:

[tex]\mathrm{C)\:}x=15,\:-7[/tex]

Step-by-step explanation:

For [tex]|a-b|=c[/tex], there are two possible cases:

[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]

Solving for both cases, we get:

[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]

30 points! See pic attached. Will mark brainliest.

Answers

Answer:

Step-by-step explanation:

i think it a c e i hope this helps :^

answer: D,B,C

Step-by-step explanation:

line A is perpendicular to B and line A and B is parallel to line C

Mr. Bradley is building a storage closet. He has four boards that are 9 feet long. He needs to cut boards into 18 inches long. What is the greatest number of 18-inch pieces that Mr. Bradley can cut from the four wooden boards? (1-foot = 12 inches)

PLEASE HELP. And dont answer if you dont know please it just a waste of time. This is a test

Answers

Answer:

The answer would be 6

The number 54 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10

Answers

Answer:

6,9,2,4,10

Step-by-step explanation:

There are possible multiples that can be divisible by 54.

What’s the measure of the other angle?

Answers

61 because they r congruent

Answer pllssssssssssssss

Answers

Answer:

30%

Step-by-step explanation:

30 blocks are shaded out of the 100

30% of the graph is shaded :)

A a book is originally priced at $65 the online retailer gives a discount and the book is now priced at $52 into the percentage discount for the cost of the book.

Answers

Answer:

20%

Step-by-step explanation:

Original price = $65

Current price = $52

Discount = $65 - $52

Discount = $13

The percentage discount is calculated as:

Discount/Original price × 100

= $13/$65 × 100

= 20%

The percentage discount for the cost of the book is 20%

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