How many solutions will each system of linear equations have? Match the systems with the correct number of
solutions.
y=x+6 and 3x-3y = -18
y=-4x+11 and -6x + y = 11
y=-2x+5 and 2x + y = -7
infinitely many solutions
one solution
no solution

How Many Solutions Will Each System Of Linear Equations Have? Match The Systems With The Correct Number

Answers

Answer 1

The correct answer is System 1: Infinitely many solutionsSystem 2: One solutionSystem 3: No solution

Let's analyze each system of linear equations and determine the number of solutions they have.

y = x + 6 and 3x - 3y = -18

In this system, the first equation is a linear equation in slope-intercept form, and the second equation is a linear equation in standard form. The two equations represent the same line. Since they are the same line, they intersect at infinitely many points. Therefore, this system has infinitely many solutions.

y = -4x + 11 and -6x + y = 11

Both equations in this system are in slope-intercept form. The slopes of the two lines are different (-4 and -6), indicating that the lines are not parallel. Since the lines are not parallel and have different slopes, they intersect at a single point. Therefore, this system has one solution.

y = -2x + 5 and 2x + y = -7

Both equations in this system are in slope-intercept form. The slopes of the two lines are equal (-2 and 2), but their y-intercepts are different. When the slopes are equal and the y-intercepts are different, the lines are parallel and do not intersect. Therefore, this system has no solution.

Matching the systems with the correct number of solutions:

System 1: Infinitely many solutions

System 2: One solution

System 3: No solution

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Related Questions

A statue is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Using a separate sheet of paper, draw a picture, set up a proportion)


a. 32 feet
b. 46 feet
c. 20 feet
d. 200 feet

Answers

Answer:

The shadow is 3/4 of the actual height.

24 foot shadow = 4/3 * 24 = 32 feet

Answer is a

Step-by-step explanation:

Mary wants her friend to guess how many cards she has in her hand. She says that if the number of cards in her hand is tripled, and 4 are added, then she has 22 cards.

Answers

Answer:

22 minus 4 = 18

18 divided by 3 is equal to 6

then following from the question now that we got the answer

so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22

your welcome

Answer:

6

Step-by-step explanation:

let x be the number of cards

3x + 4 = 22

3x = 18

x = 6

Evaluate the expression : (4 x 5)2 – 6 + 3 II
help I'm doing a test online​

Answers

Answer:

8x5−3

Step-by-step explanation:

(4 x 5)2 - 6 + 3 = 397 , I’m pretty sure

Use the graph of the function f to determine the given limit. f(x) x→ -3

Answers

Answer:

explanation is in a files

What is the slope-intercept equation of the following line?

Answers

Answer:

Hi Joanna,  what do you find difficult about this problem?  Just wondering

Step-by-step explanation:

? = 2

the grey box is 7

ask me if you want to know how I got those :)

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

corresponding angles

Step-by-step explanation:

i dont know how to explain but this file may help prove for my solution

They’re corresponding angles
Explanation:
They can’t be alternate exterior angles because angle 5 is an interior angle.
They can’t be alternate interior angles because angle 1 is an exterior angle.
They can’t be vertical angles because they are not opposite angles like 1 and 4, 2 and 3, 5 and 8, and 6 and 7.
They are corresponding angles by process of elimination.
THEY ARE CORRESPONDING ANGLES BECAUSE THEY ARE ON THE SAME SIDE OF ONE OF THE TWO LINES CUT BY THE TRANSVERSAL LINE (transversal is the diagonal line in the picture)

In the figure, Line a is parallel to line b. If angle 1 = 105º what is the measurement of angle 6?

Answers

Answer:

75

Step-by-step explanation:

angle 4 is 75 because it forms a linear pair with angle 1, and 6 is alternate interior with 4 which makes it equal

Evaluate the expression when c=6 and d=4. d+7c

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{d + 7c}\\\large\textsf{= 4 + 7(6)}\\\large\textsf{= 4 + 7 + 7 + 7 + 7 + 7 + 7}\\\large\textsf{= 4 + 14 + 14 + 14}\\\large\textsf{= 4 + 28 + 14}\\\large\textsf{= 4 + 42}\\\large\textsf{= 46}\\\\\large\textsf{Therefore, your answer should be: 46 }\large\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{\star \ Amphitrite1040:) \ \heartsuit}[/tex]

Help please mathematical answer pleas and I need it fast

Answers

Answer:

I gave the answer right for this

Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

22.1

Step-by-step explanation:

Because of it being a pyramid we must use the equation Bh1/2

B = L + W  we assume that the base is a perfect square meaning all sides are the same length B = 4.8 + 4.8 = 9.6 then we multiply by the height

9.6 x 4.6 = 44.16 next you divide by 2 or multiply by .5  

44.16/2 = 22.08 then finally rounding to the nearest tenth

making 22.1 cubic inches

Given: f(x) = x2 and g(x) = x +1, find g[f(-2)].
1
5
-3

Answers

Step-by-step explanation:

what number does the unknown stands for

Answer:

is 1

Step-by-step explanation:

(-2+1)^2 is 1

Help ASAP I’ll mark branlyest

Answers

Answer:

A) 45cm²

Step-by-step explanation:

area of triangle = 1/2×base ×height

therefore, 1/2×10×9

=45cm²

the answer is c, i assume

Step-by-step explanation:

I am not certain about this answer, but give it a go.

Use t = 3 and t = 7 to determine if 6t + 12 and 6(t + 2) are equivalent. Which statements are true? Check all that apply.
The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.
The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.
The value of both expressions when t = 3 is 30.
The value of both expressions when t = 7 is 54.
The expressions are equivalent.
The expressions are not equivalent.

Answers

Answer:

1. false

2. false

3. true

4. true

5. true

6. false

Step-by-step explanation:

1. The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.

2. The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.

3. The value of both expressions when t = 3 is 30.

4. The value of both expressions when t = 7 is 54.

5. The expressions are equivalent.

6. The expressions are not equivalent.

6t + 12 = 6(t + 2)

6(3) + 12 =6((3) + 2)

18 + 12 = 6(5)

30 = 30

6(7) + 12 = 6((7) + 2)

42 + 12 = 6(9)

54 = 54

Step-by-step explanation:

find the area of the kite

Answers

Answer:

396

Step-by-step explanation:

72 cm2

12x11/2=66

12x1/2=6

66+6=72

PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION. just a simple answer please :(

Answers

Y=x/3 this should be right...

A cereal box has a length of 8 inches, a width of 2 inches and a height of 12 inches. What is the volume of the cereal box?

A. 96 in³

B. 192 in³

C. 48 in³

D. 22 in³

Answers

Answer:

192 in cubed

Step-by-step explanation:

Multiply 12*2= 24*8

Answer:

192 should be yyour answer

Step-by-step explanation:

I have to show work of how i get the values of x, y and z
x= -3
y=4
z=5​

Answers

Answer:

use symbolab, it helps explain your math problems step by step.

Step-by-step explanation:

A survey of 64 informed voters in Kenya revealed the following information:

45 believe that Voting is a waste of time

49 believe that they have been abducted by space aliens

42 believe both of these things

REQUIRED

i). How many believe neither of these things?

ii). How many believe Voting is a waste of time but don't believe that they have been

abducted by space aliens?​

Answers

Answer:

i) 12 believe neither of these things.

ii) 3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.

Step-by-step explanation:

I'm going to solve these question treating these events as Venn sets.

I am going to say that:

Event A: Voting is a waste of time.

Event B: They have been abducated by space aliens.

45 believe that Voting is a waste of time

This means that [tex]A = 45[/tex]

49 believe that they have been abducted by space aliens

This means that [tex]B = 49[/tex]

42 believe both of these things

This means that [tex]A \cap B = 42[/tex]

i). How many believe neither of these things?

Total of 64.

At least one is:

[tex]A \cup B = A + B - A \cap B[/tex]

With the values we have

[tex]A \cup B = 45 + 49 - 42 = 52[/tex]

None:

[tex]64 - 52 = 12[/tex]

12 believe neither of these things.

ii). How many believe Voting is a waste of time but don't believe that they have been abducted by space aliens?​

This is:

[tex]A - B = A - (A \cap B) = 45 - 42 = 3[/tex]

3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.

blank minus 1/2 equals to 1/5

Answers

Answer:

____  or x = 7/10

Step-by-step explanation:

Lets rewrite it

____ - 1/2 = 1/5

Lets say ____ = x

x - 1/2 = 1/5

x = 1/2 + 1/5

x = 5/10 + 2/10

x = 7/10

CHECK

7/10 - 1/2 =

7/10 - 5/10 = 2/10 = 1/5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

what is 49, 423 rounded to the nearest ten thousand?​

Answers

Answer:

50,000

Step-by-step explanation:

50,000.


40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50

A farmer packed 37 pumpkins . Each pumpkin had a weight of about 48 ounces .He put them into three baskets. : The weight of the pumpkins in baskets A was 3 Time that of the pumpkins in baskets. : The weight of the pumpkins in basket B was twice that of the pumpkins in Basket C. : The weight of the empty basket C was 140 ounces. :What was the total weight of basket C and the pumpkins in it.​

Answers

Answer:

436 ounces

Step-by-step explanation:

You start of by finding the total weight of the pumpkins

                       37 × 48 = 1776 ounces

We know that basket A+B+C has to equal the total weight of the pumpkins

Since basket C is by itself it's weight alone equals p (pumpkins)

A=3p

B=2p

C=p

Now we put the equation together

[tex]total weight of pumpkins= A+B+C[/tex]

1776=3p+2p+p

1776= 6p

Divide the the 6 over to get p by itself

[tex]\frac{1776}{6} =p[/tex]

p=296 ounces

Then you have to add the weight of the empty basket

296+140= 436 ounces

Hudson invested $8,400 in an account paying an interest rate of 5.4% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 13 years?

Answers

The answer to the problem is 16870

The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. Assume the samples were selected randomly. Store's Card Major Credit Card Sample size 64 49 Sample mean $140 $125 Population standard deviation $10 $8 Refer to Exhibit 10-6. At 95% confidence, the margin of error is

Answers

Answer:

The margin of error is of $3.3124.

Step-by-step explanation:

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Store's Card:

Sample of 64, mean of 140, standard deviation of 10, sample of 64, standard error of [tex]s = \frac{10}{\sqrt{64}} = 1.25[/tex]

Major Credit Card:

Sample of 39, mean of 125, Standard deviation of 8, Sample of 49, standard error of [tex]s = \frac{8}{\sqrt{49}} = 1.14[/tex]

Subtraction:

Mean: 140 - 125 = 15

Standard deviation:

[tex]\sigma = \sqrt{1.25^2+1.14^2} = 1.69[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = zs[/tex]

Then

[tex]M = 1.96*1.69 = 3.3124[/tex]

The margin of error is of $3.3124.

Eric buys a coffee table price d at $100. If the sales taxis 5%, what wil lbe the total cost including tax?

Answers

Answer:

$105.00

Step-by-step explanation:

100 x 1.05 = $105.00

Answer:

with included tax : $150

Tom grew eight tomato plants with four seeds packets. How many seed packets does Tom need to have a total of 16 tomato plants?

Answers

Answer:

8 seed packets

Step-by-step explanation:

you just need to have half the amount of seed packets of the number of tomato plants grown

Landon is going to invest in an account paying an interest rate of 6.6% compounded daily. How much would Landon need to invest, to the nearest dollar, for the value of the account to reach $3,250 in 18 years?

Answers

Answer:

$990.95

Step-by-step explanation:

The computation of the present value or the invested amount is given below:

Given that

NPER = 18 × 365 days

RATE = 6.6% ÷ 365

FV = $3,250

PMT = $0

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

AFter applying the above formula, the present value is $990.95

Answer:

the answer is 991 when rounded to the nearest dollar

Step-by-step explanation:

The diameter of each circular hole in a paint palette is 42 millimeters.
Find the circumference of each hole. Use 3.14 as an approximation for .
A 128 millimeters
B 131.88 millimeters
C 120 millimeters
D 42 millimeters

Answers

Answer:

B

Step-by-step explanation:

The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88

Answer:

B

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius (half the diameter).

2r is then the diameter.

so, in our case the circumference is

42×pi = 42 × 3.14 = 131.88 mm

HELP!!! FIRST TO ANSWER GETS BRAINIEST!!!Which of the following equations was used to graph the line shown?

Answers

Answer:

Which Equations???

Step-by-step explanation:

Also for coordinates its

([tex]6,6[/tex])

And I think I answer is A

Hope this helps.. Have a nice day :)

Answer:

y=-x+6

Step-by-step explanation:

A negitive line faces down so this becomes y=-x. so in y=mx+b, b is the point where the line crosses the y axis. So that crosses at 6, so your eqation is y=-x+6

Expand 4(8y-12)......​

Answers

Answer:

(4 * 8y) - (4 * 12)

Step-by-step explanation:

We have the equation 4(8y - 12) and are asked to expand, this equation can be solved through distribution, and to expand it, we need to separate the "4" to multiplying into "8y" and "-12"

Therefore :

(4 * 8y)(4 * -12)

Now this may seem correct, but we have to keep in mind that we are not multiplying both answers within the parenthesis but yet subtracting, therefore :

(4 * 8y) - (4 * 12)

Asap help me please !

Answers

9514 1404 393

Answer:

  D.  MN ⊥ LP

Step-by-step explanation:

Using HL for the proof requires that the triangles be right triangles. In order to ensure that is the case, you must have MN⊥LP.

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