Determine if (6, 2) is a solution to the system of equations.
2x + y = 10
3x + 2y = 10

Answers

Answer 1

Answer:

no

Step-by-step explanation:

plug 6 in for x and 2 in for y, as (x, y) = (6, 2)

first equation:

y = 1 * y

2(6) + 1(2) = 10

12 + 2 = 10

14 = 10

this is false

second equation:

3(6) + 2(2) = 10

18 + 4 = 10

22 = 10

this is false

for this to be a solution, it must fit into both equations. as this fits into neither, this is not a solution


Related Questions

find two integers whose sum 2and product is _3​

Answers

Answer:

The two integers should be 3 and 1

6x-3=5x-5 multi step equation

Answers

Answer:

x = -2

Step-by-step explanation:

Given

6x - 3 = 5x - 5

Solving

Add 3 to each side.

6x - 3 + 3 = 5x - 5 + 36x = 5x - 2

Subtract 5x from each side.

6x - 5x = 5x - 2 - 5xx = -2

Show that the equation x^3 + x - 3 = 0 has a solution between 1 and 2

Answers

When x = 1:

1³ + 1 - 3 = -1

When x = 2:

2³ + 2 - 3 = 7

Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).

NO LINKS!!! Please assist me with the problem 5a​

Answers

Answer:

  g(x) = -x +1

Step-by-step explanation:

The transformation that reflects f(x) across the y-axis is replacement of x with -x.

__

For f(x) = x +1, replacement of x with -x will perform the desired transformation:

  g(x) = f(-x) = (-x) +1

  g(x) = -x +1

Reflection across y axis rule

(x,y)=(-x,y)

so x turns negative

hence f(x) turns f(-x)

new one is

g(x)=f(-x)

g(x)=-x+1

Assume you are going to buy a new Nissan Rouge priced at $28250 and after the deal you have found out that the sales tax is 10%. Estimate the answer.

Answers

Answer:

≈2825

Step-by-step explanation:

28250*10%≈2825

Pay attention to the ≈ sign

If log(16)=s, what is the value of 2/3 log(6400) - 1/3 log(1600) in terms of s?

Answers

The value of   [tex]\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)[/tex]  in terms of s will be

[tex]\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)[/tex]

What is Logrithm?

A quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Here we have the expression:-

[tex]\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)[/tex]

So in terms of s the expression will become:-

[tex]\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)[/tex]

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help help help help help help​

Answers

Answer:

The scale factor is 5 because the increase in each side of the shape is *5

Find the sum of the series:

Answers

It diverges

Step-by-step explanation:

it is an alternating sequence hence it will diverge

Will give 100 points if you answer im so tired please answer fast

Answers

135.5 in. I think I’m not 100% sure

Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$ The mean absolute deviation is . The values differ from the mean by an average of .

Answers

Using it's concept, it is found that:

The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.

What is the mean absolute deviation of a data-set?

The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the mean of the data-set is given by:

M = (4.6 + 8.5 + 7.2 + 6.6 + 5.1 + 6.2 + 8.1 + 10.3)/8 = 7.075.

Hence, the mean absolute deviation is given by:

MAD = (|4.6-7.075| + |8.5-7.075| + |7.2-7.075| + |6.6-7.075| + |5.1-7.075| + |6.2-7.075| + |8.1-7.075| + |10.3-7.075|)/8 = 1.45

Then:

The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.

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A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of $0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the lower price, should the formula use a z-value that is greater than or less than -1?

I couldn't figure out how to answer a specific question on the site, but the answer is "Less than -1" because they are looking for a price that is lower then the average, or mean price. It should be -1 standard deviation or lower.
Hope this helps someone

Answers

To determine the lower price, the formula should use a z-value that is less than -1.

How to utilize the z-value?

We are given;

Mean; x' = $6.32

Standard deviation; s = $0.47

A positive z-score indicates the raw score is higher than the mean average while a negative z-score indicates the raw score is below the mean average.

Now, we want to find out the lower price from the definition above, we have to use a negative z-score which in this case will be -1.

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8 - 3(2-(3 + 1)2 = 8.2)​

Answers

-3 (-6=82)+8
im pretty sure like 80%

Describe the net for a square pyramid with a base with edges of 6 inches and slant height of 4 inches. Calculate the surface area of the square pyramid. Enter your answer and explanation.

Answers

The square pyramid with a base with edges of 6 inches and slant height of 4 inches have a surface area of 84 in².

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The square pyramid with a base with edges of 6 inches and slant height of 4 inches. Hence:

Surface area = (6 * 6) + 2(6 * 4) = 84 in²

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

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1) How did you decide which prints she could order with out cutting off part of the picture? Explain using properties of similar figures. Be sure to explain in sentences. Make sure you include the following vocabulary words: similar figures, scale factor, dilation, ratio, side lengths, measurement

Answers

The  ability to be able to decide which prints she could order is to look at the environment especially the empty space and then visualize what is missing and what best to fit in.

​What are Similar Figures?

Similar figures are known to be figures that are said to be of the same shape.  They are known to have the same exact size, or one may be bigger than the other.

Note that when two shapes are similar, it is said that their corresponding angles are often same.  The angles are also known to be the same because the shape is still of the same shape and as such one can be able to tell from the way or order of the similarity based on the way that the angles match up and also in the scenario above.

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89 90 91 92 96 96 99 99 find the median

Answers

Answer: The median is 96

Step-by-step explanation:

Find the measure of the missing angle.

Answers

Answer:

Step-by-step explanation:

a = 180 - 112

= 68 degrees (adjacent angles)

Determine m 117 degrees; supplementary
27 degrees; supplementary
27 degrees; complementary
None of these
117 degrees; complementary

Answers

Answer:

27 degress; complementary

Step-by-step explanation:

complementary is when is adds up to 90 and you need 27 more degrees to make it 90

Answer:27 degrees

Step-by-step explanation:

just need points

Why is dividing a fraction by 3 and then multiplying by 2 the same as multiplying by 2/3?
please i need it now

Answers

it would be the same you would already be dividing by 3 because it’s the denominator and the numerator is 2

The sum of two numbers is -34. The difference of the two numbers is 14. What are the two numbers?

Answers

Answer:

the no. are -10 and -24

when we add -10 with -24 we get -34

Celine hosts a podcast about computers, and Paul hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content. This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes. How long is each episode?

Answers

Using a system of equations, it is found that each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

Variable x: Length of a Celine episode.Variable y: Length of a Paul episode.

Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content, hence:

39x + 42y = 7869

Then:

[tex]y = \frac{7869 - 39x}{42}[/tex]

This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes, hence:

14x + 41y = 6117.

Since [tex]y = \frac{7869 - 39x}{42}[/tex]:

[tex]14x + 41\frac{7869 - 39x}{42} = 6117[/tex]

14x - 38.07x = -1564.64.

x = 1564.64/24.07

x = 65.

[tex]y = \frac{7869 - 39 \times 65}{42} = 127[/tex]

Hence, each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

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Yesterday, there were 80 problems assigned for math homework. Deb got 72 problems
correct and 8 problems incorrect. What percentage did Deb get correct?

Answers

Answer:

90%

Step-by-step explanation:

Do 72/80 to find the decimal

72/80=0.9

Then to convert decimal to percent move the decimal point two times to the right.

0.9=90%

A computer can sort x objects in t seconds, as modeled by the function
below:
t=0.003.x² +0.001.x
How long, in seconds, will it take the computer to sort 12 objects?
Round your answer to the nearest hundredth of a second.

Answers

We are given that, a computer can sort x objects in t seconds, and the below relations is satisfied for each x and t

t = 0.003 x² + 0.001 x

For 12 objects, we can substitute x = 12

⇒ t = (3/1000) (12)² + (1/1000) 12

⇒ t = (12/1000) (3 × 12 + 1)

⇒ t = (12×37/1000)

⇒ t = 444/1000

⇒ t = 0.444

⇒ t ≈ 0.40 seconds (2 dp)

I have a question about this please see attachment below.

Answers

Answer:

Step-by-step explanation:

The quotient of c and 6​

Answers

Answer:

c/6 or c divided by 6

Step-by-step explanation:

x+5= 3(x-4) + 5
What is the answer

Answers

Step-by-step explanation:

x + 5 = 3x -12 + 5

x + 5 = 3x - 7

Subtract 5 from both sides....

x + 5-5 = 3x -7 - 5

x = 3x - 12

Change the sign ...

12 = 3x - x

12 = 2x

12/2 = x

x = 6

hence 6 is the answer.......

[tex]\large\textsf{\textbf{Answer\::}}[/tex]

x=6

[tex]\large\textsf{\textbf{Calculations\::}}[/tex]

First , use the Distributive Property :

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

x+5=3x-12+5

x+5=3x-7

subtract 3x on both sides :

x-3x+5=-7

-2x+5=-7

Subtract 5 on both sides :

-2x=-7-5

-2x=-12

divide by -2 on both sides :

x=6

We've found the value of x : x = 6 .

[tex]\footnotesize\text{hope\:helpful~}[/tex]

For Thursday's English class, 4 students are assigned to give presentations. How many different ways can the teacher order the student presentations?

Answers

Answer:

24 ways

Step-by-step explanation:

By the Fundamental Counting Principle,

Number of permutations = 4 ⋅ 3 ⋅ 2 ⋅ 1

= 4!

= 24

There are 24 different ways the teacher can order the student presentations.

Teresa’s age is 5 years more than twice Ben’s age.
If Ben is x years old, the expression gives the sum of Ben’s and Teresa’s ages.
If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is years.

Answers

Answer:

The first answer is 2x + 5

The second answer is 19

can you guys help me please :(

Answers

1. A= bh = 7*4 = 28 cm

2. 4.3*9 =38.7 in
Hope this helps

Ok then im doing the 3rd one:

Area of a parallelogram =b.h

[tex]11 \frac{3}{4} \times 8 \frac{1}{3} \\ = 11.75 \times 8.33 \\ = 97.8775 \\ = \boxed {97.9}[/tex]

Some children entered a dirt bike race. Sammi came in 12 minutes before Ali. Ali came in 9 minutes after Zack. Conner came in 4 minutes after Ali. Zack finished in 38 minutes. How many minutes did it take for Sammi to finish the race?​

Answers

The answer is 35 minutes because Zach finished in 38 minutes Ali came in 9 min after which make him finish at 47 minutes then Sami came in 12 minutes before Ali making it 35 minutes because 47-12=35

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

17/18pi or 2.97

Step-by-step explanation:

170 degrees to radian

170 * pi / 180 degrees

so, 170pi/180

17/18pi or 2.97

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