Is the point (3 , 2) a solution to the following system of equations?

Is The Point (3 , 2) A Solution To The Following System Of Equations?

Answers

Answer 1

ANSWER

It is not a solution.

EXPLANATION

To find if the point is a solution to the system of equations, we have to replace the values of x and y with 3 and 2 respectively in both equations.

If the solution satisfies both equations, then, it is a solution of the system of equations.

We have:

2 = 4(3) - 10

2 = 12 - 10

2 = 2

Since both sides are equal, it is a solution of the equation.

2 = 3(3) - 6

2 = 9 - 6

2 = 3

Since both sides are not equal, it is not a solution of the equation.

Therefore, the point (3, 2) is not a solution to the system of equations because it is not a solution of both equations.


Related Questions

Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?

Answers

Answer: I need help pls

Step-by-step explanation:

Answer:

Its A.

Step-by-step explanation:

Consider a set of data in which the sample mean is 83.3 and the sample standard deviation is 6.3. Calculate the z-score given that x = 79.8. Round your answer to two decimal places.

Answers

For a set of data in which the sample mean is 83.3 and the sample standard deviation is 6.3 the z-score given that x = 79.8 would be -0.555

We know that the formula for calculating a z-score is :

z = (x - μ) / σ

where z is the standard z - score

x is the observed value

μ is the mean of the sample

σis the standard deviation of the sample

here, set of data in which the sample mean is 83.3 and the sample standard deviation is 6.3

i.e., μ = 83.3,  σ = 6.3

We calculate the z-score for x = 79.8

Using above formula,

z = (x - μ) / σ

z = (79.8 - 83.3) / (6.3)

z = (-3.5) / (6.3)

z = -0.555

Therefore, the z-score is:  -0.555

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3.25% as a fraction in its simplest form

Answers

Answer is 13/4

Step by step: 3.25% changed into a fraction.

We know we want to get rid of the percent by multiplying the top and bottom by 100.

325/100

Now we need to simplify.

Divide top and bottom by 25 = 13/4.

1. The Milky Way galaxy has about 500,000,000 stars. The Andromeda galaxy has about 1,000,000,000,000 stars. How many stars do the two galaxies have all together?
5 x 10^12 stars
1.0005 x 10^12 stars
5.1 x 10^8 stars
1.0005 x 10^8 stars​

Answers

Answer:

The answer would be 1.0005 x 10^12

Or, 1,000,500,000,000

Step-by-step explanation:

You take the first number, 1.0005 then move the decimal to the right 12 times.

Add zeros the the empty spots. Then you get your answer.

A normal distribution is informally described as a probability distribution that is​ "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution.

Answers

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

What is a bell curve known for ?

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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A normal distribution is informally described as a probability distribution that is "bell-shaped" when

In the figure below, h || l and j || K. Find the values of x and z

In the figure below, h || l and j || K. Find the values of x and z

Answers

Answer: The value of z = 32 , x = 103

Step-by-step explanation: As given h || l and j || k .

we can say (3z - 19) = 77  

solving the above equation we get:

3z = 77 + 19

3z = 96

z = 32

Now , The sum of 77 + x =  180

solving this equation we get:

x = 180 - 77

x = 103

Given the two points, write the equation in slope-intercept form. (1,4) (2,7)

Answers

Answer:(_\ヽ

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  レ ノ   ヽ_つ

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Step-by-step explanation: I like cats!

Answer:

y = 3x + 1

Step-by-step explanation:

6TH GRADE MATH, SOMEONE PLS FIND THE SLOPE IN THIS EQUATION TY

6TH GRADE MATH, SOMEONE PLS FIND THE SLOPE IN THIS EQUATION TY

Answers

Answer:

slope is -2

Step-by-step explanation:

100% correct :)

The slope is what is next to the x in y=mx+b

so if it was like this y=3x + 2

3 is the slope

hope that makes sense

The correct simplification of (2x^3 + x^2 - 4x) - (9x^3 - 3x^2)

Answers

Use PEMDAS in order to get the simplified version

Help solving

5/8 + 11/12 =

Help solving 5/8 + 11/12 =

Answers

Answer:

37/24

Step-by-step explanation:

You have to find the common denominator.

You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.

Answers

You will have 6,381.396 over 5 years

please help me asap, i was absent the day we learned this and haven't been able to pick it up

please help me asap, i was absent the day we learned this and haven't been able to pick it up

Answers

Answer:

Your dead meat then...

Step-by-step explanation:

But I’m pretty sure its b?

sorry if it’s wrong

Answer:

the answer is c took this before


Blood contains three types of cells including red blood cells, white blood cells, and platelets. For approximately every 420 red blood cells in humans with certain medical conditions,
there are 30 platelets and 2 white blood cells. Write the ratio of red blood cells to platelet cells.
O Points:
a simplified fraction)

Answers

Step-by-step explanation:

Evalate the expression when m=4 and m=6

Tessa bought stock in a restaurant for $160.00. Her stock is now worth $224.00. What is the percentage increase in the value of Tessa's stock?

Answers

Answer:

64.00 was incressed

Step-by-step explanation:

Answer:

about 51-52 percent should be the answer

Step-by-step explanation:

please mark brainlyiest

2/5 X -3/4
i need help on this

Answers

Answer:

\(-\frac{3}{10}\)

Step-by-step explanation:

\(\frac{2}{5} *-\frac{3}{4} \\=-\frac{6}{20} \\=-\frac{3}{10}\) (Reduced to simplest form.)

What is the area of a circle with a radius of 13 inches?
Use 3.14 to approximate T.
Enter your answer in the box.
in²

Answers

Answer: 530.66 in^2

Step-by-Step Explanation:

Radius (r) = 13 in
Pi (π) = 3.14
Area = πr^2

Therefore,
=> πr^2
= π * r * r
= 3.14 * 13 * 13
= 40.82 * 13
= 530.66

Area = 530.66 in^2

The length of the top of a table is 4 m greater than the width. The area is 60m^2. Find the dimensions of the table

Answers

Answer:

Width = 6 m

Length = 10 m

Step-by-step explanation:

Let the width of the table be x meters.

Therefore, length of the table = (x + 4) meters.

\(length \times width = Area \\ \\ x(x + 4) = 60 \\ \\ {x}^{2} + 4x - 60 = 0 \\ \\ {x}^{2} + 10x - 6x - 60 = 0 \\ \\ x(x + 10) - 6(x + 10) = 0 \\ \\ (x + 10)(x - 6) = 0 \\ \\ x + 10 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 10 \: \: or \: \: x = 6 \\ \\ \because \: dimensions \: can \: not \: be \: negative \\ \therefore \: x \notin \: 10 \\ \implies \: x = 6 \\ x + 4 = 6 + 4 = 10 \\ width \: of \: table = 6 \: m \\ length \: of \: table = 10 \: m\)

Using the present value approach, solve the following:

Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?

Answers

Answer:

Step-by-step explanation:

$100x0.5x1=$5

A fort had enough food for 120 soldiers for 200 days. After 5 days 30 soldiers leave the for . How long will the remaining food last now ?

Answers

We have that

\(undefined\)

Food for 120 people for 1 day=120x
Total available food=120x*200(food available for 200 days for 120 people)
Total food =24000x
Food consumed in 5 days=120x*5=600x
Food left after 5 days=24000x-600x=23400x
As 30 people died after 5 days, remaining people 90
Food required for 90 people for day =90x
No of days food can be consumed for 90 people=food left/food consumption per day
=23400x/90x
=260
So their remaining food will be last for another 260 days .

Multiply (2.5x10^-5)x(2x10^-4)

Answers

Answer:7·10^(-9), or

   7

----------

10^9

Step-by-step explanation:

Multiply 3.5 and 2 together, obtaining 7.

Then add the exponents -6 and -4, obtaining -10.

The product is thus 7·10^(-10), or, after simplification,

7·10^(-9), or

   7

----------

10^9

The sum of two numbers is 50 and the difference is 18. What are the numbers?

Answers

set up 2 systems of equations: x+y=50 and x-y=18. Solve the second one for x to get x=y+18. Then plug y+18 in for x in the first equation to get y+18+y=50. Solve that for y to get y=16. Then plug that in the second equation to get x-16=18, solve for x to get 34. So, the numbers are 34 and 16.

Equations:

x + y = 50

x = y - 18

-------------------

Add and solve for "x"::

2x = 32

x = 16

-----

Solve for "y"::

16 + y = 50

y = 34

ANSWERS ARE IN BOLD

Find the measure of prq if p is 33, r is 17x + 1 and q is 10x + 1

Answers

The expression we get after measuring prq is 5610x²+ 891x+33.

Given that,

p is 33, r is 17x+1 and q is 10x+1

We have to find the measure of prq.

Take the,

p is 33, r is 17x+1 and q is 10x+1

Now,

prq

By multiply we get an expression

Multiplying each term to each other.

(33)(17x+1) (10x+1)

1st multiply 33 to 17x+1

(561x+33) (10x+1)

Now multiply each 561x with 10x+1 and 33 with 10x+1

5610x²+ 561x+ 330x+33

Adding 561x and 330x

5610x²+ 891x+33

Therefore, The expression we get after measuring prq is 5610x²+ 891x+33.

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solve for b, i already solved for A
will give brainliest

solve for b, i already solved for A will give brainliest

Answers

Answer:

b=23 degrees

Step-by-step explanation:

a was 66 degrees so b=23 degrees   180-90-66=23

Help!! Factor the common factor out of each expression

Help!! Factor the common factor out of each expression

Answers

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

What is the equation?

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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helphelphelphelphelphelphelphelp

helphelphelphelphelphelphelphelp

Answers

Answer:

Step-by-step explanation:

the areas are the same, the outer squares of Q are the ones missing in the center

Guys i really need help, i will give brainliest to the right answers

Guys i really need help, i will give brainliest to the right answers

Answers

It’s D. The ordered pair goes in order of x coordinate and then y coordinate (x,y)

Answer:

the answer is D.

All the points match the ones on the graph.

Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line

Answers

Answer is C) it is located between the numbers 2 and 3 on the number line

Explanation

The square root of a number is “what number times itself”

2 x 2 = 4

3 x 3 = 9

7 is between 4 and 9 so C is the correct answer

Area: Change in Dimensions
A rectangle FGHJ has a width of 3 inches and a length of 7 inches.

Area: Change in DimensionsA rectangle FGHJ has a width of 3 inches and a length of 7 inches.

Answers

Step-by-step explanation:

this is not complicated at all. first and second graders can do a-c (come on, you know how to calculate the area of a rectangle) and with some imagination also d and e.

this is meant for you to actually do it so that you get a feeling for these things.

I will therefore leave the pure calculation to you.

and I will give you some help for the conceptual/ theoretical part.

the area of a rectangle is, of course, length × width (or height some on the view you have on an object).

let's just call them l and w.

so the regular area is

Ar = l×w

now one dimension (or example and for the width, but it does not matter, it is the same for the length) is doubled.

it simply means the new width is twice the old width.

so the area with a double width is

A2w = l×(2×w) = 2×(l×w)

so, that means also the area is doubled compared to the regular area.

now, both dimensions are doubled.

A2w2l = (2×l)×(2×w) = 4×(l×w)

so, the area grew 4 times a large as the regular area.

what is the rule here ?

let's triple the dimensions.

A3w3l = (3×l)×(3×w) = 9×(l×w)

as you can easily see : the new area grows with the square of the scaling factor, when we change both dimensions equally.

the reason is simple - as our little equations show, we have to multiply in the scaling factor of every dimension in play.

therefore, the new area grows with the product of the scaling factors of the involved dimensions. if both scaling factors are the same, then the area grows therefore by the square of the common factor.

and this principle applies to every shape, where the area is constructed out of 2 dimensions. any other additional multiplication factors don't matter for this, because this is all one big multiplication of several factors, and if you multiply one of these factors by an additional factor, the whole result changes by that factor.

Need help, pls!!!
ty!

Need help, pls!!!ty!

Answers

The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.

The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.

The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).

Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

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The radius of the base of a cylinder is
about 6 cm2. What is the volume of the
cylinder? (Use 3.14 for n.)
10 cm
6 cm--
A 113.04 cm3
B 1,130.4 cm
C 2,260.8 cm3
D 4,521.6 cm3

Answers

Answer:

I believe it's B

Step-by-step explanation:

Sorry if I'm wrong. All I did was multiply the numbers with 3.14 and got around that, was 10 the height?

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