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

NOT TOO HARD NEED HELP

Answers

Answer:

perimeter = 12x+10 area=8x^2+14x+6

Step-by-step explanation:

A

2x+2+2x+2+4x+3+4x+3

2x+2x+4x+4x+2+2+3+3

4x+4x+4x+2+2+3+3

8x+4x+2+2+3+3

12x+2+2+3+3

12x+4+3+3

12x+7+3

12x+10

B

(2x+2)(4x+3)

8x^2+8x+6x+6

8x^2+14x+6

Can anyone help me I really need it

Answers

I think it’s shifted down by 5 units
It’s shifted down by 5 units

True or False: You can have 2 right angles in a triangle.

Answers

the answer is False

Enter the product as a mixed number ​

Answers

9514 1404 393

Answer:

  10 1/5

Step-by-step explanation:

3 × 3 2/5 = 3(3) +3(2/5) = 9 +6/5 = 9 + 1 1/5

  = 10 1/5

If one movie ticket cost $15, how much will 5 movie tickets cost

Answers

Answer:

$75

Step-by-step explanation:

15 x 5 = 75

trust me bro :)

Which expression is equivalent to x2+7x+12/x2-x-12?
x+3/x-3
x+4/x-4
(x+3)(x+4)/(x-3)(x-4)
(x-3)(x-4)/(x+3)(x+4)

Answers

Answer:

the answer is this hope it helps

Answer:

x+4/x-4

Step-by-step explanation:

x2+7x+12/x2-x-12

Factor the expressions that are not already factored.

(x+3)(x+4)/(x-4)(x+3)

Cancel out x+3 in both numerator and denominator.

x+4/x-4

Graph if needed:

"bananas cost 89 cents each at the fruit stand.. Isabel has $11.75. how many bananas can she buy?" i forgot how to do this stuff pls help​

Answers

Answer:

She can buy 13 bananas

Step-by-step explanation:

She has 11.75 and each banana costs .89

Start by dividing 11.75/.89 = 13.20

She will be able to buy 13 bananas total since she cannot buy a portion of a banana (0.2) so she will just have some leftover change.

She’s right it’s 13.20

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 56% C: Scores below the top 44% and above the bottom 20% D: Scores below the top 80% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answers

Answer:

You get a D if you have a grade between 66 and 72.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4.

This means that [tex]\mu = 79.3, \sigma = 8.4[/tex]

D: Scores below the top 80% and above the bottom 6%

So between the 6th and the 20th percentile.

6th percentile:

X when Z has a pvalue of 0.06. So X when Z = -1.555.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.555 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -1.555*8.4[/tex]

[tex]X = 66.2[/tex]

Rounds to 66

20th percentile:

X when Z has a pvalue of 0.2. So X when Z = -0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -0.84*8.4[/tex]

[tex]X = 72.2[/tex]

Rounds to 72

You get a D if you have a grade between 66 and 72.

Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$81.23 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$77.17. How much does an average movie ticket cost in each of these​ countries?

Answers

Answer:

Let the cost in Japan be m and that of Switzerland be n

n=13.35

Step-by-step explanation:

simplify -2+5(2+6r)

I’ll mark brainlist

Answers

Answer:

10+30r

Step-by-step explanation:

-2+5(2+6r)

expand 5(2+6r)

5x2=10

(6r)x(5)=30r

so it is 10+30r

then add that to -2

8+30r

Hope that helps :)

Please help please please

Answers

Answer:

8

Step-by-step explanation:

There are less people on the 8.

Consider the non-right triangle below.

Suppose that m∠BCA=71∘, and that x=31 cm and y=50 cm. What is the degree measure of ∠ABC?
m∠ABC=

Answers

Answer:

m<ABC = 71°

Step-by-step explanation:

Given:

m<BCA = 71°

x = 31 cm

y = 50 cm

Required:

m<ABC

Solution:

First, find AB, using Cosine Rule:

AB² = x² + y² - 2xy*Cos m<ABC

Plug in the values

AB² = 31² + 50² - 2(31)(50)*cos 71

AB² = 3,461 - 1,009.26128

AB² = 2,451.73872

AB = √2,451.73872

AB = 49.5150353 ≈ 50 cm

✔️Since AB ≈ 50 cm, and AC is also 50 cm, it means the triangle is an isosceles triangle.

Therefore, the base angles of ∆ABC, <ABC and <BCA, would be congruent.

Therefore,

m<BCA = m<ABC = 71°

m<ABC = 71°

What 3D solid does this net create​

Answers

I think it makes a square cuz it do be looking like a square

Answer:

cuboid.

................

what is the following sum

Answers

Answer:

2nd option is the correct answer

[tex] 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]

Step-by-step explanation:

[tex]3 {b}^{2} \bigg( \sqrt[3]{54a} \bigg) + 3 \bigg( \sqrt[3]{2a {b}^{6} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{27 \times 2a} \bigg) + 3 \bigg( \sqrt[3]{2a {( {b}^{2} )}^{3} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{ {3}^{3} \times 2a} \bigg) + 3 \bigg({\sqrt[3]{{( {b}^{2} )}^{3}2a} } \bigg) \\ \\ = 3 {b}^{2} \times 3 \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 9 {b}^{2} \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]

Answer:

second option:  12b²(∛2a)

Step-by-step explanation:

you can break [tex]\sqrt[3]{54a}[/tex] into [tex]\sqrt[3]{3^3(2a)}[/tex] which equals 3[tex]\sqrt[3]{2a}[/tex]

you can break [tex]\sqrt[3]{2ab^6}[/tex] into [tex]\sqrt[3]{2ab^3b^3}[/tex] which equals b²[tex]\sqrt[3]{2a}[/tex]

now we can simplify: (3b² ·  3[tex]\sqrt[3]{2a}[/tex]) + 3b²[tex]\sqrt[3]{2a}[/tex] = 9b²[tex]\sqrt[3]{2a}[/tex] + 3b²[tex]\sqrt[3]{2a}[/tex]

this equals 12b²[tex]\sqrt[3]{2a}[/tex]

I need help please will mark the brainliest

Answers

Answer:

im not  smart

Step-by-step explanation:

i need points

Please answer both question above and below



A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm.

What is the area of the trapezoid?

28 cm
36 cm
45 cm
90 cm

Answers

Answer:

Step-by-step explanation:

Could u attach a clear image??

a rectangular water tank carries 40000 litres of water what is the best area if its height is 2 m​

Answers

Answer:

the base area is 20,000

2 x 20,000 = 40,000

Really need help thank you!

Answers

Answer:

x=28

Step-by-step explanation:

when the angles are supplementary add them together and set them to 180 after doing so you'll have

4x+2x+12=180

now you combine like terms and then solve for x

The temperature changes from 9°F to -5°F. Which of the following expressions model the distance on thermometer between 9°F and -5°F? Choose all the correct answers

A I -5 -9 I

B I 9 -5 I

C I 9- (-5) I

D I -5 (-9) I

E I -9 - (-5) I

Answers

Answer:

[tex]d = |- 5- 9|[/tex]

Step-by-step explanation:

Given

[tex]Initial = 9^\circ F[/tex]

[tex]Final = -5^\circ F[/tex]

Required

Determine the difference

Represent this with d.

d is calculated using

[tex]d = |Final - Initial|[/tex]

The equation becomes

[tex]d = |- 5- 9|[/tex]

Use the number line to complete the statements.
The opposite of 4 is ____.
(1). -8
(2). -4
(3). 0
(4). 4
The opposite of –8 is _____.
(1). -8
(2). 0
(3). 4
(4). 8

Answers

Answer:

(2). -4

(4). 8

Step-by-step explanation:

The opposite of a negative or positive number will always be it's absolute value.

Felicia and gabriella are on the hamilton middle school basketball team. The box plots show the number of points they scored in 8 basketball games.

Answers

Answer:

I

Step-by-step explanation:

I need the box plot to do the problem

Question 1 (1 point)
If three shares of TSLA cost $2400, how much would 8 shares cost?

a
$6400
b
$1100
c
$5400
d
$3200
Question 2 (1 point)
If twenty shares of GME cost $800, how many shares could I buy with $120?

a
16
b
3
c
4
d
1600
Question 3 (1 point)
If 8 shares of BB cost $72, how many shares could I buy with $810?

a
90
b
738
c
72
d
730
Question 4 (1 point)
If fifteen pencils cost $5, how much would 9 pencils cost?

a
$45
b
$3
c
$2
d
$14
Question 5 (1 point)
If four shares of AAPL cost $480, how many shares could I buy with $3600?

a
30
b
40
c
36
d
48
Can someone help be with those this is worth 100 points

Answers

Answer:

A

Step-by-step explanation:

2400/3= 800 800x8= 6400

Hdhdhhdyyxydhhdurhrhfvf fbbdbcbxhxhx f dhfbdbdhjfjf

in the championship game, Momo and Koko scored 23 points combined. Momo and Suzy scored 21 points combined. Koko and Suzy scored 20 points combined. How many points did the three girls score altogether.

Answers

Answer:

Step-by-step explanation:

In total, all 6 girls scored 64 points altogether

Hope I answered your question!

Answer:

23+21+20= 64

Step-by-step explanation:

How many thirds are in 12?

Answers

36 thirds because 12 times 3 is 36 and 36 x 12 is 1/3

A and B are independent events, A and C are dependent. P(A|B) = 0.3, P(A|C) = 0.2. Find P(A).

Round your answer to the nearest tenth.

Answers

Answer:

P(A) = 0.3

Step-by-step explanation:

independent event:

P(A|B) = P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

It is showing that whether one occurred or not, the other one doesn't care about it (independence).

Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,

P(A|C) = 0.2.

We know that for the independent event:

P(A|B) = P(A)

Hence, P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

Learn more about independent variables;

https://brainly.com/question/1479694

#SPJ2

Tony wants to
make a line plot of the distances he rode
his bike last week. He rode the following
distances in miles:
3, 4 1/2, 6, 3, 5 1/2, 3, 5 1/2
Make a line plot for the distances Tony rode.

Answers

Which of the following characteristics does The Love

What does b represent in the expressions.

Answers

I think it represents the price of each granola

The figure shown has two parallel lines cut by a transversal: A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left. Use the figure to complete the sentence. ∠7 and ____ are alternate exterior angles. ∠2 ∠1 ∠5 ∠8

Answers

*see attachement for the diagram of the figure being referred to

Answer:

<1

Step-by-step explanation:

Alternate exterior angles are a pair of angles which are located on the opposite side of the transversal, outside the two parallel lines.

From the figure given, you would see that <7 and <1 lie on opposite side of the transversal and they lie on the outside of the two parallel lines that are cut across by the transversal.

Therefore:

<7 and <1 are alternate exterior angles.

mario is saving his money in order to buy a new video game, he decides to save $5 of his allowance every week. the equation he writes to describe the total amount of money he will save each week is shown below.

Answers

There’s are 7 days in a week and he said he saves $5 dollars so 7x5 is 35. So he gets $35 dollars a week.

Suppose a video store charges non-members $10 to rent each video. However, a membership costs $21 and members pay $3 to rent each video. For what number of videos is the cost the same?

Answers

Answer:

3

Step-by-step explanation:

Non Members pay $10 dollars each video 3 x 10= $30

membership costs $21 + 3 videos $3 each $21 + $9 =$30

Price is the same after 3 videos rented

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