How many solutions does this system have?
->
2x-3y = 10
-4x+6y=-20
one
two
an infinite number
no solution

How Many Solutions Does This System Have?->2x-3y = 10-4x+6y=-20onetwoan Infinite Numberno Solution

Answers

Answer 1

Answer: I think there is only one

Step-by-step explanation:

Answer 2

Answer:

an infinite number

Step-by-step explanation:

Let's solve for y for both equations.

[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]

[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]

By reducing fractions we get:

[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]

These two equations are EXACTLY the same.

Therefore, this system has an infinite number amount of solutions.

Using desmos graphing calculator, you can't see both lines because they're exactly the same line.

How Many Solutions Does This System Have?->2x-3y = 10-4x+6y=-20onetwoan Infinite Numberno Solution

Related Questions

Determine the exact value of each of the following expressions. Your answers should involve fractions and square roots, and not decimal values.

cos(30∘)=

sin(30∘)=

tan(30∘)=

cos(60∘)=  

sin(60∘)=

tan(60∘)=

Answers

Cos(30)= 3/2
Sin(30)=1/2
Tan(30)=3/3
Cos(60)=1/2
Sin(60)= 3/2
Tan(60)=3

Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string with the ground is 42.5 degrees. How high is Mark's kite above the ground? Find your answer to the nearest tenth.​

Answers

Answer:I don’t understand

Step-by-step explanation:

The population of a city increases by 3% per year. If this year's population is 298,0 what will next year's population be, to the nearest individual?

Answers

Answer:

5 Probability

5.1 Probabilities

Probabilities are used to describe how likely or unlikely it is that something will happen.

Weather forecasters often talk about how likely it is to rain, or perhaps snow, in particular

parts of the country.

Worked Example 1

(a) When you roll a dice, which number are you most likely to get?

(b) If you rolled a dice 600 times how my sixes would you expect to get?

(c) Would you expect to get the same number of ones?

Solution

(a) You are equally likely to get any of the six numbers.

(b) You would expect to get a six in about 1

6

of the throws, so 100 sixes.

(c) Yes, in fact you would expect to get about 100 of each number.

Worked Example 2

Use one of the following to describe each one of the statements (a) to (d).

Certain

Very likely

Likely

Unlikely

Very unlikely

Impossible

(a) It will snow tomorrow.

(b) It will rain tomorrow.

(c) You win a car in a competition tomorrow.

(d) You are late for school tomorrow.

Solution

(a) Very unlikely for most places in Britain, especially in summer.

(b) Likely or Very likely in Britain in winter.

(c) Very unlikely if you have entered the competition. Impossible if you have not

entered the competition.

(d) Very unlikely, unless the school bus breaks down.

If f(x) = 3x3+ 6x2+ 12x and g(x) = x2, what is the product of f(x) and g(x)?
A) 3x3+ 7x2+ 12x
B) 3x6+ 6x4+ 12x2
C) 6x3+ 12x2+ 24x
D) 3x5+ 6x4+ 12x3

Answers

Answer:

[tex]3x^5+6x^4+12x^3[/tex]

Step-by-step explanation:

Given that,

[tex]f(x) = 3x^3+ 6x^2+ 12x[/tex]

and

[tex]g(x)=x^2[/tex]

We need to find the product of f(x) and g(x). SO,

[tex]f(x)\times g(x)=(3x^3+ 6x^2+ 12x)\times (x^2)\\\\=3x^3\times x^2+6x^2\times x^2+12x\times x^2\\\\=3x^5+6x^4+12x^3[/tex]

Hence, the correct option is (d).

I will venmo if someone can please help me

Answers

Answer: 14.967

Step-by-step explanation:

Use Pythagorean Theorem to find the missing length.  

a² + b² = c²        

x² + 10² = 18²      

x² + 100 = 324         [Subtract 100 from both side]  

          x²= 224        

      √x² = √224     [solve the square root from both sides]

        x   ≈  14.967

could someone help me with this question

Answers

Answer:

10/1

Step-by-step explanation:

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

Answer:

91m + 13n + 52

Step-by-step explanation:

13(n + 4 + 7m)

= (13) (n+4+7m)

= (13) (n) + (13) (4) + (13) (7m)

= 13n + 52 + 91m

= 91m + 13n + 52

hope this helps and is right :)

p.s. i really need brainliest

Answer:

13n + 52 +91m

Step-by-step explanation:

As far as I can tell, all you are doing is distributing the 13 into the numbers. You multiply 13* 1n, 13*4, and 13*7m to give you 13n +52+91m.

Pls help extra points and mark

Answers

Answer:

x-6=6

Step-by-step explanation:

6+6=12

Answer:

c

Step-by-step explanation:

because 6+6=12 and the missing number would be 12 because 12-6=6

A developer has 24.5 acres of land. She buys an adjacent plot of land and increases the total
acreage she owns by 20%. Circle the numbers that make the statements true.

Answers

Answer:

The developer bought 4.9 acres of land, increasing its property to 29.4 acres.

Step-by-step explanation:

Given that a developer has 24.5 acres of land, and she buys an adjacent plot of land and increases the total acreage she owns by 20%, to determine the amount of acres she bought and the total acres she now owns, the following calculations must be done:

24.5 x 1.2 = 29.4

24.5 x 0.2 = 4.9

Thus, the developer bought 4.9 acres of land, increasing its property to 29.4 acres.

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches
What is the greatest possible whole-number length of the unknown side?

Answers

Answer:

Step-by-step explanation:

If you add the lengths of two sides, 12 and 14, you will get 28. Using the above theorem, the third side cannot be greater than or equal to 28. Therefore, the greatest possible whole-number length of the unknown side is 27.

Answer:

Step-by-step explanation:

7 or C

Evaluate the expression: 20 - 2^4

Answers

Answer:

4

Step-by-step explanation:

1) Simplify 2⁴ to 16.

[tex]20 - 16[/tex]

2) Simplify.

[tex]4[/tex]

Therefor, the answer is 4.

Answer:

20 - 2^4 =4

Step-by-step explanation:

Circumference = 69.1yd​

Answers

Answer:

What do you want us to find?

Step-by-step explanation:

Help please. Assignment due tonight.

Answers

Answer:

sin b

Step-by-step explanation:

Answer:

cos A

Step-by-step explanation:

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

sine B = [tex]\frac{3}{5}[/tex]

cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos A = [tex]\frac{3}{5}[/tex]

Solve for b. —11b + 7 = 40 b =​

Answers

Answer:

-3

Step-by-step explanation:

-11(-3)+7=40

33+7=40

Which one of these grids is shaded red and blue in the ratio 0.5: 1?
A
B
D
E
F

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its E

Step-by-step explanation:

PLEASE SOMEONE HELP ME IM BEGGING YOU THIS IS SO HARD !!! :)) WILL GIVE BRANLIEST IF UR RIGHT

Answers

Answer:

Perimeter = 12.246 units

Area = 11.314 units²

Step-by-step explanation:

A=2√2r²=11.314

P=2(8)(√2-√2)=12.246

Find the least common denominator of 11/10 and 1/6

Answers

11 and 10 is 110. For 1 and 6 it is 24. Hope this helps.

You deposit $200 in an account earning 3.5% simple interest. How many years will it take for the balance of the account to be $221

Answers

I = PRT

21 = 200 * 0.035 * T

21 = 7T

3 years = T

why is angle 3 congruent to angle
explain why​

Answers

Answer:

Angle 3 is = to angle 2 because:

Angle 3 & angle 7 are corresponding angles, meaning they have the same measure.

Angle 7 & angle 2 are vertical angles, meaning they also have the same measure.

Therefore, if angle 7 is equal to angle 3, then angle 2 must also be equal to angle 3.

Hope this helps! Have a great day!

geometry proofs help please

Answers

Answer:

trust your instincts

Step-by-step explanation:

I can not interfere with your destiny you will need to decide your destiny

Dexter deposited 6,300 into a saving account that earns 2.60% simple interest per year. How much interest will she earn in 4 years

Answers

Answer:

2

Step-by-step explanation:

(1 point)
Find the area enclosed by the curve r=2 sin(0) + 3 sin(90).

Answers

If the 0's are indeed zeroes, then it would appear that you're using degrees, so that the equation

r(θ) = 2 sin(0°) + 3 sin(90°)

describes a circle r = 3 (since sin(0°) = 0 and sin(90°) = 1). In this case, the area would simply be π r ² = 9π.

But I suspect you meant to use θ, so the curve has the far more interesting equation,

r(θ) = 2 sin(θ) + 3 sin(9θ)

Since sin(9θ) has a period of 2π/9 and sin(θ) has a period of 2π, their sum has a period of 2π. (That is, 2π times the LCM of 1 and 1/9, which is 1.) But we observe r(θ) is odd, since

r(-θ) = 2 sin(-θ) + 3 sin(-9θ)

… = -2 sin(θ) - 3 sin(9θ)

… = - r(θ)

which tells us that the curve closes itself over a half-period. So the area bounded by the curve is given by the integral,

[tex]\displaystyle\int_0^\pi\int_0^{r(\theta)}r\,\mathrm dr\,\mathrm d\theta[/tex]

If you're not familiar with double integrals yet, all you need to know is that this reduces to the area formula you may/should be familiar with,

[tex]\displaystyle\frac12\int_0^\pi r(\theta)^2\,\mathrm d\theta[/tex]

Compute the integral:

[tex]=\displaystyle\frac12\int_0^\pi(2\sin(\theta)+3\sin(9\theta))^2\,\mathrm d\theta[/tex]

[tex]=\displaystyle\frac12\int_0^\pi(4\sin^2(\theta)+12\sin(\theta)\sin(9\theta)+9\sin^2(9\theta))\,\mathrm d\theta[/tex]

Apply some identities:

sin²(θ) = (1 - cos(2θ)) / 2

sin(θ) sin(9θ) = (cos(9θ - θ) - cos(9θ + θ)) / 2 = (cos(8θ) - cos(10θ)) / 2

sin²(9θ) = (1 - cos(18θ)) / 2

[tex]=\displaystyle\frac14\int_0^\pi(4(1-\cos(2\theta))+12(\cos(8\theta)-\cos(10\theta))+9(1-\cos(18\theta))\,\mathrm d\theta[/tex]

[tex]=\displaystyle\frac14\int_0^\pi(13 - 4\cos(2\theta) + 12\cos(8\theta) - 12\cos(10\theta) - 9\cos(18\theta))\,\mathrm d\theta[/tex]

[tex]=\dfrac14 \left(13\theta-2\sin(2\theta)+\dfrac32\sin(8\theta)-\dfrac65\sin(10\theta)-\dfrac12\sin(18\theta)\right)\bigg|_0^\pi[/tex]

[tex]=\dfrac1{40} \left(130\theta-20\sin(2\theta)+15\sin(8\theta)-12\sin(10\theta)-5\sin(18\theta)\right)\bigg|_0^\pi[/tex]

[tex]=\dfrac{130\pi-20\sin(2\pi)+15\sin(8\pi)-12\sin(10\pi)-5\sin(18\pi)}{40}[/tex]

= 13π/4

Please answer <3 thanks

Answers

Answer:

The slope of the line would be 3/6 or 1/2

Step-by-step explanation:

To get from point (1,2) to point (7,5) you have to rise 3 places and run (move to the right) 6 times. Rise/run=3/6

hope this helps. ; )

What type of number is v5?

Choose all answers that apply:

1. Whole number
2. Integer
3. Rational
4. Irrational

PLEASE HELP ME ILL GIVE 10 POINTS

Answers

The square root 5 is irrational because a square root of a positive number is either an integer or irrational number. Therefore it is irrational.

HELP PLEASE PLEASE HELP, also show work!

Answers

Answer:

1 6 3b 0ny 5i bhk

Step-by-step explanation:

At what rate per annum compound
interest will N4000 amount to N5353
in 5 years?​

Answers

Answer: Just look it up on goo gle

Step-by-step explanation:

The rate per annum compound interest is approximately 11.5%.

To find the rate per annum compound interest, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A = the final amount (N5353 in this case)

P = the principal amount (N4000 in this case)

r = the annual interest rate (what we want to find)

n = the number of times interest is compounded per year (assuming once per year)

t = the number of years (5 years in this case)

Now, we can plug in the values:

[tex]N5353 = N4000(1 + r/1)^{1*5}[/tex]

Divide both sides by N4000:

[tex]1.33825 = (1 + r)^5[/tex]

Now, isolate (1 + r) by taking the fifth root of both sides:

[tex]1 + r = (1.33825)^{1/3}\\1 + r \approx 1.115[/tex]

Now, subtract 1 from both sides to find the interest rate (r):

r ≈ 1.115 - 1

r ≈ 0.115

Finally, convert the interest rate to a percentage:

r ≈ 0.115 * 100

r ≈ 11.5%

To know more about rate:

https://brainly.com/question/32398403

#SPJ2

19. Frank and Jenny want to cut a plank for a sandbox they are making. If the plank is
12 inches long, and they want four pieces of equal size, how long will each piece measure?
A. 44 inches
44 in
B. 3 inches
C. 8 inches
0.3 inches

Answers

Answer:

it is 3 inches

3 x 4 = 12

please help will mark brainlist please and thank you

Answers

Answer:

c

Step-by-step explanation:

and the answer is c

1) Heather writes a number that shows 30 parts of 100. Select all that could be Heather's number. 0 0.30 3/100 30/10 0.3 30/100 ! This is a required question​

Answers

Answer:

im guessing .30, .3, and 30/100

Step-by-step explanation:

im not sure how to explain it but fractions. yes.

!!! HELP ASAP !!! 40 x 20 - 6 + 4 =

Answers

Answer:

798

Step-by-step explanation:

first you do 40x20=800 then 800-6=794 then 794+4=798

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