Write the augmented matrix for the following system of equations.
- 3x + 2y = 7
5 – 2x = 7y

Answers

Answer 1
X,y= (-39/25 , 29/25)
Answer 2

Answer:

Point Form: [tex](-\frac{39}{25} , \frac{29}{25} )[/tex]

Equation Form: [tex]x=-\frac{39}{25} , y=\frac{29}{25}[/tex]

Step-by-step explanation:

Using its matrix, you are going to solve with

Write both equations in standard form. ...

Make the coefficients of one variable opposites. ...

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.


Related Questions

write 25 * 10^6 in standard form

Answers

?
25•10•10•10•10•10•10

• = multiply

Classify each number below as a rational number or an irrational number.

Answers

Answer:

1. not

2.yes

3.yes?

4.yes?

5.no

Step-by-step explanation:

i put question marks by ones im not posivie about

Write an equation with variables on both sides that has no solution. Explain why it has no solution.

Answers

Answer:

4x - 5 = 2(2x + 1)

Step-by-step explanation:

4x - 5 = 2(2x + 1)

4x - 5 = 4x + 2

Then you would subtract the 4x on each side leaving you with:

-5 = 2

And obviously the value of -5 does not equal the value of 2 so therefore this equation has no solution

Hope that was what you were looking for.

when a number divides another number exactly the smaller number is called

Answers

Answer:

1) A number that divides another number evenly is called a factor of that number. For example, 16 can be divided evenly by 1, 2, 4, 8, and 16. So the numbers 1, 2, 4, 8, and 16 are called factors of 16.

2) A number that divides a given set of numbers is called a common factor of the numbers.

Step-by-step explanation:

i hope its right

Given the quadratic function
2x²+y=8x-6,identify the following.​

Answers

y= - 48 - 2x2, X E R

Lins father is paying for a 20 dollar meal. He has a 15% - off coupon for the meal. After the discount, a 7% sales tax is applied

Answers

Answer 18.19

20x0.85=17
17x(1.07)=18.19

(3√200+ 5√150 - 7√600) : √50

Answers

Answer:

-67.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't know if I did this right, but I ended up with 30√2 - 45√6

Sorry If it isn't right, have a nice day and keep learning

I think the answer is C not 100% correct

Answers

Answer:

Yeah you are right. None of the other options make much sense and this is a function.

Step-by-step explanation:

Plot the ordered pairs from the table.

Answers

The first point is on the 10 minute line in between 4 and 6 kilometer line

The second point is on the 15 minute in between the 10 and 12 kilometers line

The third point is on the 20 minute line and 18 kilometer line

The ordered pair is plotted in the graph attached in the solution.

Given that Timony has three friends, the table shows the time taken by him to reach at his friends place and the distance of the homes of each of his friend.

We need to plot the ordered pair formed by the time and distance on the graph,

The ordered pair are:

(5, 10)

(11, 15)

(18, 20)

Plot the ordered pairs on the graph according to the given values:

The first ordered pair is (5, 10). This means that Timony took 5 units of time to reach a friend's place that is located 10 units of distance away. Mark this point on the graph.The second ordered pair is (11, 15). Timony took 11 units of time to reach a friend's place that is located 15 units of distance away. Mark this point on the graph.The third ordered pair is (18, 20). Timony took 18 units of time to reach a friend's place that is located 20 units of distance away. Mark this point on the graph.

Hence the ordered pair is plotted.

Learn more about ordered pair click;

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Ay help its easy pleaseeee.

Answers

Answer:

425ft.

Step-by-step explanation:

Just add 395 and 30 together.

Hope this helps. Pls give brainliest!

Answer:

425 ft

Step-by-step explanation:

So the snorkeling was 30 ft BELOW sea level while the hike was 395 ft ABOVE sea level.

Below is negative so 30 ft below is -30

Above is positive so 395 ft above is 395

the difference between 395 and -30 looks like this:

395- (-30)

So you can simplify to get this equation:

395+30

which is 425

So the difference between the snorkel and hike is 425 ft

Hope this helps!

Suppose 10 and 6 are common factors of two numbers. What other
factors must the numbers have in common? Explain.


Answers

Answer: 2

Step-by-step explanation:

We can list out their factors

10:1,2,5,10

6:1,2,3,6

Both have the same factors of 2.

Answer: 2

Step-by-step explanation:

since the factors or 10 are 5 and 2

and the factors of 6 are 3 and 2

then 2 must also be a common factor of the other numbers

-1≤ 3x-10≤ 2 please help me

Answers

Answer:

3 ≤ x ≤ 4

Step-by-step explanation:

Step 1: Add 10 to all parts/sections.

[tex]-1 + 10 \leq 3x - 10 + 10 \leq 2+10[/tex] [tex]9\leq 3x\leq 12[/tex]

Step 2: Divide all parts/sections by 3.

[tex]\frac{9}{3} \leq \frac{3x}{3} \leq \frac{12}{3}[/tex] [tex]3 \leq x \leq 4[/tex]

Therefore, the answer is 3 ≤ x ≤ 4.

Answer:

3≤ x≤ 4    

Step-by-step explanation:

-1≤ 3x-10≤ 2

Add 10 to each side

-1+10≤ 3x-10+10≤ 2+10

9≤ 3x≤ 12  

Divide each side by 3

9/3≤ 3x/3≤ 12/3

3≤ x≤ 4    


Sketch a possible curve of f(x) given the graphs of f ‘ (x) and f’’ (x) below:

Answers

Step-by-step explanation:

Graph 1 is a parabola and has 2 x points and a turning point

meaning it has a minimum and a maximum point.

conclave points are the highs and lows, once you show this in table then you can interpreted them on a graph see the examples attached.

Graph 1 is opposite to shown interpreted conclave so instead of --c++

we write  + + c - - and draw on quadrant 1 instead of quadrant 3

graph 2 is decreasing so instead of -+ c then + + it would show + -  c then - - so the curve stays in quadrant 3 and 4. Also where c is we draw a 0 and say whether it is minimum or maximum point.

Both graph 1 and 2 demonstrate minimum points for their f(x) for c.

so in your workings within the table you write min as seen in red within the attachment. They wrote max, but you write min as you are in decreasing conclave fx values that reach min point c then they increase and become parabolas.

Solve for x.

8 ≤ x - (-14)

Answers

[tex]8 \leqslant x - ( - 14) \\ 8 \leqslant x + 14 \\ 8 - 14 \leqslant x + 14 - 14 \\ - 6 \leqslant x \\ x \geqslant - 6[/tex]

I hope I helped you ^_^

The answer it x >_ - 6

Need help pleaseeeee

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The zeros of the given function is the value of x coordinates of the points where the function cuts (intersects) the x - axis .

here, the points at which the function intersects x - axis are :

(-3 , 0)

(1 , 0)

so, the required zeros are -3 and 1

The price of a toy usually costing £50 is increased to £65. Work out the percentage increase.

Unfortunately the answer doesn't seem obvious to me. If i could have the answer as quickly as possible it would be very helpful. Thank you

Answers

Answer:

115%

Step-by-step explanation:

115% percent increase in usual value, I may guess see other answrrs too

Answer:

30%

Step-by-step explanation:

The percentage increase is calculated as

[tex]\frac{increase}{original}[/tex] × 100%

increase = £65 - £50 = £15 , then

percent increase = [tex]\frac{15}{50}[/tex] × 100% = 15 × 2% = 30%

solve the simultaneous equations 2x + 3y = 13 4x - y = -2

Answers

Answer:

Step-by-step explanation:

y  =  13 /3

x  =  7 /12

Answer: y=4

x=0.5

Step-by-step explanation:

There are 12 finalists in a singing competition. The top four singers receive prizes. How many ways can the singers finish first through fourth?

Answers

See below for solution

Answer:665,280

Step-by-step explanation:

Formula for Permutations,

The supplement of an angle is 4 times as large as the angle. Find the angle

Answers

Answer:

mark me barinlest

Step-by-step explanation:

supplement angles have sum = 180, complement angles have sum = 90

180-x = 4(90-x)

180-x = 360 -4x

3x = 180

x = 180/3

x = 60

answer measure of the angle = 60

Answer:

36°

Step-by-step explanation:

Supplementary angles sum to 180°.

Let the angle be x then the other angle is 4x.

Their sum is:

x + 4x = 1805x = 180x = 180/5x = 36

Round to the nearest whole number. Simplify (5(12 - 2)2 + 7]/3=

Answers

(5(12-2)2+7)/3

(5(10)2+7)/3

(50(2)+7)/3

(100+7)/3

107/3

35.66666...

36

4 x -6

How many groups?

A. 4
B. -6

Answers

Answer:

2(2x - 3)

the grouping is [ ]

Jill is thinking of a number. Twenty less than one forth of the number is -45. Find Jill's number.

Answers

Answer:

The number is -100, Jill can think of something else, now.

Step-by-step explanation:

x = the number

x/4 - 20 = -45 {twenty less than one-fourth of the number is -45}

x/4 = -25 {added 20 to each side}

x = -100 {multiplied each side by 4}

Answer:

-31.25

Step-by-step explanation:

Jill's number=[1/4×(-45)]-20

=-11.25-20

=-31.25

write the first five terms of the geometric sequence with the given 1st term and the common ratio.

hi can someone please answer my question i really need the complete step-by-step solution thank you ❤️ ​

Answers

Answer:

1/2, 1/4, 1/8, 1/16, 1/32

Step-by-step explanation:

Given GP with:

[tex]a_1= 1/2, r = 1/2[/tex]

The equation for nth term is:

[tex]a_n=a_1*r^{n-1}[/tex]

Find the first 5 terms:

[tex]a_1=1/2\\a_2=1/2*1/2=1/4\\a_3=1/2*(1/2)^2=1/8\\a_4=1/2*(1/2)^3=1/16\\a_5=1/2*(1/2)^4=1/32[/tex]

What equation, in point-slope form, matches the graphed line shown?



Question 3 options:

y−5=−23(x+9)

y−6=45(x−2)

y−2=−34(x−6)

y+6=45(x+3)

Answers

Answer:

Here’s the graph

Step-by-step explanation:

The equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1) is:

y = (-3/4)x + 13/2

The correct answer is: Option C: y - 2 = -3/4(x - 6).

Here, we have to find the equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1), we first need to find the slope (m) of the line using the formula:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

where [tex](x_1, y_1) = (6, 2) ; (x_2, y_2) = (10, -1)[/tex].

m = (-1 - 2) / (10 - 6)

m = (-3) / 4

Now that we have the slope (m), we can use the point-slope form of the equation of a line:

[tex]y - y_1 = m(x - x_1)[/tex]

Using the point (6, 2):

y - 2 = (-3/4)(x - 6)

Now, simplify the equation:

y - 2 = (-3/4)x + 9/2

Finally, move -2 to the other side to get the equation in the point-slope form (y = mx + b):

y = (-3/4)x + 9/2 + 2

y = (-3/4)x + 9/2 + 4/2

y = (-3/4)x + 13/2

So, the equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1) is:

y = (-3/4)x + 13/2

The correct answer is: Option C: y - 2 = -3/4(x - 6).

To learn more on equation click:

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complete question:

missing graph is attached:

(This question is related to the picture question)
The fish population in local lake is 10,000 the population increases by half every year which function represents the fish population after X years
F(x)= 10,000 parentheses (1.5)^x
Pls help it would mean a lot I’m stressing need ASAP

Answers

Answer:

5. [tex]f(x) = 10,000 (1.5)^x[/tex]

Step-by-step explanation:

==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

Let's test it

Initial: 10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

--

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

--

Let's try our equation.

[tex]f(x) = 10,000 (1.5)^x[/tex]

[tex]x=2[/tex]

[tex]10,000(1.5)^2[/tex]

[tex]10,000(2.25) = 22,500[/tex]

*Edit: I just seen that the question is related to the picture question

someone pls help... i’ll give brainliest !!

Answers

\frac{3x^{2}-4x+3}{x-3}

Type a digit that makes this statement true.
20,604,70_
is divisible by 6

Answers

Answer:

2

Step-by-step explanation:

The answer to the question is 2

Please answer ASAP Brainlest to best answer PLEASE (HURRY DUE TODAY)
A scuba diver descends in the water at a rate of 1 8/12 feet per minute for 3.1 minutes. He immediately changes course when he sees a large fish and ascends at a rate of 22 feet per minute for 2 minutes.

What is the scuba diver's position relative to sea level after the 5.1 minutes?

Enter your answer as a decimal
Please!

Answers

Answer:

-13.35

Step-by-step explanation:

i hopr its right

true or false? A subtraction expression with a positive integer and a negative can have a difference of zero

Answers

Answer:

False

Step-by-step explanation:

Subtracting a negative integer is equivalent to adding a positive integer. So adding a positive integer to a positive integer can never be zero.

Which expressions have exactly two factors? Choose ALL that apply.
A) a+ 7
B)4•n•n
C)3(b-1)
D)xy
E)m•m+8
F)2•2•2•2•2

Answers

Answer: The answer is F.

Step-by-step explanation: It’s F because the number would be multiplied equally because all of the number are multiplied by 2. The rest of them either have variables or variables with numbers in them, which looks kind of funky, so F is the answer. I hope you get it right :). Sorry, if I was late for the reply and if you already figured it out… :(.

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