1) –10x – y = 0
10x – 4y = 0

Answers

Answer 1

Answer:

The solution is (0 ,0)

Step-by-step explanation:

–10x – y = 0   (1)

 10x – 4y = 0 (2)

solving by elimination:

(1)+(2)⇒ -5y=0 ⇒ y=0

if we replace y by 0 in the first equation we will get :

–10x – 0 = 0 ⇒ x=0


Related Questions

please help i need this answer for my end of course test
a(1) = -13
a(n) = a(n - 1) + 4
Find the second term in the sequence.
Question options:

a) 9

b) -9

c) 8

d) -8

i will give you the brainliest

Answers

Option B

The second term of sequence is -9

Solution:

Given that,

[tex]a(1)= -13\\\\a(n) = a(n-1) + 4[/tex]

We have to find the second term of sequence

To find the second term of sequence, substitute n = 2 in given recursive formula

Plug in n = 2 in above equation

[tex]a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4[/tex]

Substitute a(1) = -13

[tex]a(2) = -13 + 4\\\\a(2) = -9[/tex]

Thus the second term of sequence is -9

A vase is on sale at 50% off. The sale price is $160. What was the original price?

Answers

Answer:

$320

Step-by-step explanation:

To find the answer to this you would need to multiply the price by 2 so that you may find out what double the half of price would be, so in theory you and doing the reciprocal.

The steps to solving -3x(4x+3)+5x

Answers

1. distribute the -3x across the parenthesis, so it would be -3x*4x - (changed from a + because of the negative before 3x) 3x*3. so this would give you -12x^2 - 9x + 5x.
2. combine like terms (x) to get -12x^2 - 4x. (can't combine the -12x^2 bc the x is squared)
3. optional : factor our -4x from -12x^2 and 4x to simplify further to get -4x(3x+4).

Hey there!

-3x(4x + 3) + 5x

= -3x(4x) + -3x(3) + 5x

= -3x(4x) - 3x(3) + 5x

= -3x(4x) + 3(-3x) + 5x

= -12x^2 + 3(-3x) + 5x

= -12x^2 - 9x + 5x

= -12x^2 - 4

Therefore, your answer is: -12x^2 - 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

How many does 40 go into 100

Answers

Answer:2.5 or 2 with the remainder of 20

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

If you are asking what 100 divided by 40 is, that is the answer. (I'm not really sure how to explain it. Just type in 100 divided by 40 into your calculator)

Hope this helps!

-Coconut;)

y = 2x – 5 2y – 4x =

Answers

Answer:

2y-4x

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

y=2x-5

Putting the value of y in 2y-4x

2(2x-5)-4x

4x-10-4x

0-10

-10

You are part of a construction company that is supposed to build houses. An architect has left plans to build houses on each island. Bridges connect the islands. Island A and island B have a total of 15 houses. Island A and island C have a total of 17 houses. Island B and island C have a total of 12 houses. A total of 22 houses is to be built on the three islands. Determine how many houses are to be built on each island. Explain how you arrived at your answer in detail.

Answers

Answer:

Island A, B and C has 10, 5 and 7 houses respectively.

Step-by-step explanation:

Let, the three islands A, B and C has a, b and c houses respectively.

According to the question, a + b = 15; a + c = 17; b + c = 12; a + b + c = 22.

Adding [ a + b = 15; a + c = 17]-these two, we get, [tex]a + (a + b + c) = 15 + 17 = 32\\a + 22 = 32\\a = 10[/tex].

Now, [tex]a + b = 15\\10 + b = 15\\b = 5[/tex].

[tex]a + c = 17\\10 + c = 17\\c = 7[/tex].

what is 58% of 18 Show and explain your work, please!!!

Answers

Answer:

10.44

Step-by-step explanation:

okay so percentages can be converted to decimals

to do this, you can either:

move the decimal space to the left twice

or

divide the percentage (in this case 58) by 100,

regardless you will get the same answer

58.0 → 5.80 → 0.58

now that you have 58% as a decimal, all you have to do is multiply it by 18

(0.58)(18) = 10.44

therefore, 58% of 18 is 10.44

Final answer:

To calculate 58% of 18, convert the percentage to a decimal (0.58) and multiply it by 18, resulting in 10.44.

Explanation:

To find what 58% of 18 is, we use the concept that 'percent' means 'per hundred' or 'out of 100'. So essentially, we need to find 58 out of every 100 parts of 18. This calculation can be represented by the mathematical expression 0.58 x 18 (since 58% as a decimal is 0.58). The steps to solve this are:

Convert the percentage to a decimal: 58% = 0.58.Multiply the decimal by the total number: 0.58 x 18.Perform the multiplication: 0.58 x 18 = 10.44.

So, 58% of 18 is 10.44.

What is 2X +3+ 3X equals X +11

Answers

Answer:

Part 1) x=5

Part 2) x=2

Step-by-step explanation:

The question is solve for x

Part 1) we have

[tex]x+3x=x+x+10[/tex]

Combine like terms both sides

[tex]4x=2x+10[/tex]

subtract 2x both sides

[tex]4x-2x=10\\2x=10[/tex]

divide by 2 both sides

[tex]x=5[/tex]

Part 2) we have

[tex]2x+3+3x=x+11[/tex]

Combine like terms left side

[tex]5x+3=x+11[/tex]

subtract x both sides

[tex]5x+3-x=11\\4x+3=11[/tex]

subtract 3 both sides

[tex]4x=11-3\\4x=8[/tex]

divide by 4 both sides

[tex]x=2[/tex]

Evaluate the expression when b=6 and x=-6

Answers

Answer:

x = -6

=b=6=

Step-by-step explanation:

Answer:

Step-by-step explanation:

Incomplete question!

I need the last two

Answers

Answer:

Part 5) Option b [tex]2x\sqrt{3}\ ft[/tex]

Part 6) Option d. [tex]4y\sqrt[3]{2}\ mm[/tex]

Step-by-step explanation:

Part 5) we know that

The area of a square is equal to

[tex]A=b^2[/tex]

where

b is the length side of the square

we have

[tex]A=12x^2\ ft^2[/tex]

substitute

[tex]12x^2=b^2[/tex]

Solve for b

take square root both sides

[tex]b=\sqrt{12x^{2}}[/tex]

Remember that

[tex]12=(2^2)(3)[/tex]

substitute

[tex]b=\sqrt{(2^2)(3)x^{2}}[/tex]

Applying property of exponents

[tex]b=\sqrt{(2^2)(3)x^{2}}=[(2^2)(3)x^{2}]^{\frac{1}{2}}=[2^2x^2]^{\frac{1}{2}}3^{\frac{1}{2}}=2x\sqrt{3}\ ft[/tex]

Part 6) we know that

The volume of a cube is equal to

[tex]V=b^3[/tex]

where

b is the length side of the cube

we have

[tex]V=128y^3\ mm^3[/tex]

substitute

[tex]128y^3=b^3[/tex]

Solve for b

take cubic root both sides

[tex]b=\sqrt[3]{128y^3}[/tex]

Remember that

[tex]128=(2^7)=(2^6)(2)=(2^2)^3(2)[/tex]

substitute

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}[/tex]

Applying property of exponents

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}=[(2^2)^3(2)y^3]^{\frac{1}{3}}=[(2^2)^3y^3]^{\frac{1}{3}}2^{\frac{1}{3}}=2^2y\sqrt[3]{2}=4y\sqrt[3]{2}\ mm[/tex]

Pls help, more equations. If you answer, you can do it on paper, then take a photo and post it as your answer

Answers

Answer:

all work is shown and pictured

SEQUENCES AND SERIES
QUESTION 1: The 8th and 20th terms of an arithmetic sequence are respectively equal to
the 6th and 8th terms of a geometric sequence. In the arithmetic sequence the first term is
a and the non-zero common difference d, whilst r is the common ratio in the geometric
sequence.
(a) Show that r^2=a+19d/a+7d
(b) If the 5th term of the arithmetic sequence is 4 and r is an integer, determine all
possible General Terms of both sequences.

Answers

Answer:

Step-by-step explanation:

As we Know that formula for arithmetic sequence is

[tex]a_n=a_1+(d-1)[/tex]

and for geometric sequence is

[tex]a_n=a1*r^(n-1)[/tex]

So,

According to given conditions

     [tex]a+7d=a*r^5 (i)\\ a+19d=a*r^7 (ii)[/tex]

By dividing equation (i) and (ii)

Hence proved that

[tex]r^2=a+19d/a+7d[/tex]

Luis choosing one card from the deck then choosing a second card without replacing the first. Is this independent or dependent

Answers

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Step-by-step explanation:

Lets define independent and dependent events first.

Independent events:

The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.

Dependent events:

The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.

Now,

When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.

Hence,

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Keywords: Probability, dependent events

Learn more about probability at:

brainly.com/question/10666510brainly.com/question/10699220

#LearnwithBrainly

Can someone please help!!

Linda's health insurance policy has a $1,000 deductible and 20% coinsurance. Her total medical bills last year were $6,450.
The insurance company paid a total of _ for the year.

options are:
$5,450
$4,160
$4,360
$2,090

Answers

Final answer:

After deducting Linda's $1,000 deductible and 20% coinsurance from her total medical bills, the insurance company paid $4,360 for the year.

Explanation:

Linda's health insurance policy has a deductible of $1,000, meaning that amount will have to be paid out of her pocket before the insurance starts to cover. In addition, the policy has 20% coinsurance, which means Linda is responsible for 20% of the remaining healthcare costs after the deductible is met.

First, calculate the bills Linda has to pay after the deductible: $6450 - $1000 = $5450.

Next, account for the coinsurance by calculating 20% of that amount: 0.20 * $5450 = $1090.

To find out how much the insurance company paid, we subtract the amount Linda pays from her total bills. Therefore, $6450 - $1000 (deductible) - $1090 (coinsurance) = $4360. So, the insurance company paid $4360 for the year.

Learn more about Health Insurance here:

https://brainly.com/question/28590419

#SPJ12

help asap pls

Joni is solving the equation 3x-1= 6 - x using the graphing capabilities
on her calculator. Here is what the calculator screen displays
when she finds the intersection of the graphs of Y2 = 3x - 1 and Y2 = 6-X.
What is the solution to the equation? How do you know?

Answers

Answer:

x = 7/4 = 1.75

Step-by-step explanation:

Hello - so you don't seem to have shown what the calculator screen displays, however I can assume it will show a graph of the two lines, and their intersection point. The x-co-ordinate of this intersection point is the solution to the equation.

As I can't see the calculator, I will also show you how to work out the solution for x:

3x - 1 = 6 -x

4x -1 = 6

4x = 7

x   = 7/4  = 1.75

Help me, is correct? Thanks

Answers

Answer:

Step-by-step explanation:

Yes

Yes it is correct :)

A recipe requires 5 cups of sugar you can only measures using 3/4 cups how many 3/4 cups are needed for the recipe leave the answer as an improper fractions

Answers

Answer:

Step-by-step explanation:

5 / (3/4) =

5 * 4/3 =

20/3 <==== I left it as an improper fraction

Smith Elementary School scored 30 less points in their track meet than Jones Elementary School. If Jones Elementary School scored x points, write an expression to represent how many points Smith Elementary School scored.

Answers

The expression that represents the points of Smith Elementary School scored is x - 30

Step-by-step explanation:

Let us revise some words that means operations in mathematics

The sum ⇒ add (the sum of x and y is x + y)The difference ⇒ subtract (the difference between x and y is x - y)The product ⇒ multiply (the product of x and y is x × y)The quotient ⇒ divide (the quotient of x divided by y is x ÷ y)Less than ⇒ minus (x less than y by n is x = y - n)More than ⇒ plus (x is  more than y by m is x = y + m)

∵ Smith Elementary School scored 30 less points in their

   track meet than Jones Elementary School

- That means the score of Smith Elementary School is less than

   the score of Jones Elementary School by 30

∵ Jones Elementary School scored x points

- Subtract 30 from x to find the score of Smith Elementary School

∴ Smith Elementary School scored = x - 30

The expression that represents the points of Smith Elementary School scored is x - 30

Learn more:

You can learn more about the expressions in brainly.com/question/13087541

#LearnwithBrainly

Answer:

x-30

Step-by-step explanation:

We know that Jones Elementary has x points. If Smith Elementary has 30 less points then we should subtract 30 from x to get x-30.

A landscaper wishes to make a rectangle flower garden that is twice as king as it is wide. Express the area of the garden as a function of its width.

Answers

Answer:

L = 2w

A = L*W

A = 2w*w

A = 2w^2

Step-by-step explanation:

Final answer:

The area of the rectangle garden as a function of its width w is  [tex]A(w) = 2w^2[/tex], where the length is twice the width of the garden.

Explanation:

The landscaper wishes to make a rectangle flower garden where the length is twice the width. If we denote the width as w and the length as 2w, we can express the area A as a function of its width.

The formula for the area of a rectangle is length × width, so the area function A(w) would be:

A(w) = length × width
    = 2w × w
    = [tex]2w^2[/tex]

So, the area of the garden as a function of its width is [tex]A(w) = 2w^2.[/tex]

HELP HELLP HELP MEH I NEED 16 MORE CLASSES LEFT FOR SCHOOL LET IT BECOME 15 PLEASE

Answers

Answer:

2*2*9+4*12*3=36+144=180

Step-by-step explanation:

Circle the answer. ​

Answers

< right angle is the right answer
< right angle
Because it’s less than a right angle

The table shows inputs and outputs for a relation.
Identify a possible value for x that would make the relation shown in the table NOT a
function. Explain.​

Answers

Answer:

whats the answer lol

Step-by-step explanation:

What does x equal 2(x-3)=14

Answers

Answer: x = 10

Explanation: To solve this equation for x, we start by distributing the 2 through the parentheses on the left side.

So we have 2 times x which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.

Solving from here,

we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that x = 10.

We can check our answer by substituting a 10 back in for x in the original equation and we have 2(10 - 3) = 14.

10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.

Four times a number,decreased by two is five.

Answers

Written out, that would be 4x - 2 = 5.

To solve, add 2 and then divide by 4:

4x = 7

x = 7/4

Answer:

7/4

Step-by-step explanation:

X = a number

Four times a number

4X

Four times a number,decreased by two

4X - 2

Four times a number,decreased by two is five.

4X - 2 = 5

4X = 5 + 2 = 7

X = 7/4

Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from B to AC.

Answers

The area of a triangle is =54 square unitsThe perpendicular distance from B to AC is = [tex]\frac{108}{\sqrt{149} } units[/tex]

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

[tex]x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8[/tex]

The area of a triangle is= [tex]\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)][/tex]

=[tex]|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|[/tex]

=[tex]|-54|[/tex] = 54 square units

The length of AC = [tex]\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}[/tex]

                          = [tex]\sqrt{(2-12)^{2} +(1-8)^2}[/tex]

                         =[tex]\sqrt{149}[/tex] units

Let the perpendicular distance from B to AC be = x

According To Problem

[tex]\frac{1}{2} \times x \times \sqrt{149} = 54[/tex]

⇔[tex]x =\frac{108}{\sqrt{149} }[/tex] units

Therefore the perpendicular distance from B to AC is = [tex]\frac{108}{\sqrt{149} } units[/tex]

Which equation represents the line that passes through the points (4, 7) and (-2, -2) ?
y = 3/2x + 1
y = -5/2x + 17
y = 5/2x - 3
y = -3/2x + 13

Answers

Answer:

y=3/2x + 1

•••••••••••••

9. Identify the domain of the set (6,1),(-1, -8), (3,5), (9,1)
and tell if the relation is a function.

Answers

Step-by-step explanation:

[tex](x,\ y)\\\\x\in\text{Domain}\\\\y\in\text{Range}\\\\(6,\ 1),\ (-1,\ -8),\ (3,\ 5),\ (9,\ 1)\\\\\text{Domain}=\{-1,\ 3,\ 6,\ 9\}\\\text{Range}=\{-8,\ 1,\ 5\}\\\\\text{This relation is a function because each x is assigned one value of y.}[/tex]

Answer:

Yes, this relation is a function.

Step-by-step explanation:

Take the first element from each ordered pair to obtain the domain:

(6, -1, 3, 9).  Since the inputs are all unique (no duplication), the relation is a function.

Rita correctly answered 9 out of the 10 on the test. What was the fraction of the test did rita answer incorrectly

Answers

Answer:

she got 9 out of 10 correct on the test so 90% correct, which only leave 10% left to have 100%.

so she got 10% wrong

Step-by-step explanation:

Answer:

1 out of ten or 10 percent { :

Step-by-step explanation:

Five movie tickets cost 36.25 what is the cost of 8 movie tickets

Answers

Answer:

290.

Step-by-step explanation:

36.25 x 8

soo divide 5 and 36.25 it equals 7.25
now times 7.25 with 8 and it equals 58.00

What is the altitude of an equilateral triangle with a side length of 10 in.

Answers

Good morning,

Answer:

[tex]\frac{\sqrt{3} }{2} a[/tex]

Step-by-step explanation:

h = altitude

side = a

using Pythagorean theorem: in the right triangle:

h² = a² - (a/2)²

    = a² - a²/4

    = 3/4a²

    = [(√3/2)×a]²

⇒ h = (√3/2)×a.

:)

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