Determine if the system of equations has a unique solution.

3x - 2y + z = 15

2x + 4y + 6z = 30

X - 2y + 4z = 10

A. No solution
B. Linearly Dependent, infinite solution
C. Linearly Independent, Unique solution​

Answers

Answer 1

Answer:

C. Linearly Independent, Unique solution

Step-by-step explanation:

x=11/2

y=7/4

z=2


Related Questions

what is 34÷6837 show ur work​

Answers

Answer:

Step-by-step explanation:

  If you're allowed to use a calculator, type in 34, the division symbol, 6837, and finally enter:

  34 / 6837 = 0.00497

Answer:

0.00497294135

Step-by-step explanation:


PLEASE HELP

Absolute Value Inequalities

Answers

what do you need help with?

Charlie deposited $115 in a savings account. Each week thereafter he deposits $35 into the account. How much total money has Charlie deposited after 30 weeks?

Answers

Answer:

$1165

Step-by-step explanation:

30x35 = 1050

1050+115=1165

Equation: 115+35x

Plug 30 in for x
115+35(30)
115 + 1050
= $1165

write the equation of the line perpendicular to the given line y= -2/3 x + 1

Answers

since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)

using the formula y=mx+c

y=2/3x +1

m1=2/3

m2= -1/2/3

m2= -3/2

the slope of the second line is -3/2 and it passes through the point(3,-2)

using the formula y-y1 = m(x-x1)

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

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

multiply both sides by 2

2(y+2) = -3(x-3)

2y+4 = -3x+9

2y = -3x+5

y= -3/2x + 5/2

BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!

Answers

The function is increasing where the slope is positive. The slope is positive from 4 to infinity.

Hope this helps!! :)

I went to the movies and bought 4 tickets. It cost me 23 dollars for the tickets after I applied my 5 dollar Tuesday discount. Create an equation for this situation where x is cost of each ticket. How much did each ticket cost? (answer asap pls)

Answers

Answer:

x= 5.75$

Step-by-step explanation:

23 divided by 4 = 5.75$ (without the discount it is 10.75$)

Answer:

each ticket=$7.

x=7

Step-by-step explanation:

The total price of your tickets AFTER applying your $5 discount was 23.

Therefore, the price of 4 tickets would be 23+5, aka 28.

We can first begin with,

4x-5=23

4x=23+5

4x=28

x=7.

abe purchased a candle at the candle store. The candle is 9 inches long and the packaging started the candle burns down at the rate of 1/2 an inch per hour.
If abe lit the candle and let it burn. How long would the candle be after 5 hours

Show how you figured it out

Answers

Answer:

6.5 Inches in 5 hours.

Step-by-step explanation:

1. 0.5 * 5 = 2.5

2. 9 - 2.5 = 6.5

Therefore after 5 hour's, the candle will be 6.5 inches that duration

(hope this helps!)

Dalawang batong itim

Answers

Sa tabi mo.

[tex] \: \: [/tex]

Step-by-step explanation:

I havenot understand queation


What is an equation of the line that passes through the point (-4,-6) and is
perpendicular to the line 2c – y = 6?

Answers

Answer:

y = -1/2c - 8

Step-by-step explanation:

2c - y = 6

2c -6 = y

Slope: 2. Slope of the perpendicular line: -1/2

Point (-4,-6)

y-intercept = -6 - (-1/2)(-4)

b = -6 -2 = -8

The equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

What is equation of the line ?

Equation of the line: The general equation of a straight line is [tex]y = mx + c[/tex]. This variable [tex]'c'[/tex] is called the intercept on the [tex]y-axis[/tex].  And [tex]y = c[/tex] is the value where the line cuts the [tex]y-axis[/tex].

Here,

[tex]m=[/tex] the gradient,

[tex]c=[/tex]  the intercept on the y-axis

We have,

An equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] .

So,

Line [tex]2c - y = 6[/tex]  

[tex]2c - y = 6[/tex]

⇒ [tex]y=2c-6[/tex]

and  [tex]y = mx + c[/tex]

On comparing above two equations

[tex]m=2[/tex]

and Slope [tex]=-\frac{1}{m}[/tex]

So, Slope [tex]=-\frac{1}{2}[/tex]

Now,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slope of required equation [tex]=\frac{-1}{Slope \ of \ 2c-y=6}[/tex]

                                              [tex]=\frac{-1}{\frac{(-1)}{2} }=2[/tex]

Now,

Equation of line with slope [tex]2[/tex] and passing through point [tex](-4,-6)[/tex] ,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]2=\frac{y_{2} -(-6) }{x_{2} -(-4) }[/tex]

[tex]2x_{2} +8=y_{2} +6[/tex]

[tex]2x_{2} -y_{2} +2=0[/tex]

So, the equation of the line is  [tex]2x_{2} -y_{2} +2=0[/tex] .

Hence, we can say that the equation of the line that passes through the point [tex](-4,-6)[/tex]  and is perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

To know more about Equation of the line click here

https://brainly.com/question/2564656

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This question requires you to enter the answer in the box provided on the screen.
Fractions should be entered in lowest terms using a forward slash (/) and converted to improper fractions when applicable.
Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash (/) to enter the answer.
Two numbers are given.

64 and 80

What is the greatest common factor of these two numbers?

Answers

Answer:

16

Step-by-step explanation:

The greatest common factor is the greatest integer which divides evenly into both numbers.  One way to find this is to list all of the divisors of one of the numbers, and then select the biggest of those that divides evenly into the other number, and that number is the greatest common factor.

We start with 64.

Its divisors are 1, 2, 4, 8, 16, 32, 64.  The biggest of those numbers which divides evenly into 80 is 16.  

Thus, the greatest common factor is 16.

PLEASE I NEED HELP QUICKLY

Answers

Answer:

Step-by-step explanation:

6x - 5 + 3x - 4 = 180     {Supplementary angles}

6x + 3x - 5 - 4 = 180

Combine like terms

9x - 9 = 180

Add 9 to both sides

9x = 180 + 9

9x = 189

Divide both sides by 9

 x = 189/9

x = 21

[tex]\small\boxed{\begin{array}{cc} \hline\sf \normalsize {Math \: \: \: Question}\\ \hline\end{array}}[/tex]

=================================

The nswer is × = 21

=================================

[tex]\begin{gathered}\begin{gathered}\tiny\boxed{\begin{array} {} \red{\bowtie}\:\:\:\: \red{\bowtie}\\。◕‿◕。\end{array}}\end{gathered}\end{gathered}[/tex]:BrainliestBunch

simply the following expression

Answers

Answer:

C.

x^8 / y^28 z^20

Step-by-step explanation:

Answer: c

Step-by-step explanation:

= [tex](\frac{y^{7} z^{5} }{x^{2} } )^{-4}[/tex]

[tex]= (\frac{x^{2} }{y^{7} z^{5} } )^{4}[/tex]

[tex]= \frac{x^{8} }{y^{28} z^{20} }[/tex]

please give me a brainliest answer

How many times does the graph y = (x + 3)2 touch the x-axis?
x

Answers

Answer:

one

Step-by-step explanation:

y = (x + 3)^2

Start with the parent function y = x^2.

y = x^2 touches the x-axis at only 1 point, (0, 0).

The difference between y = (x + 3)^2 and its parent function y = x^2, is that in y = (x + 3)^2, x was replaced by x + 3. That is a translation of 3 units left. The function y = (x + 3)^2 still only touches the x-axis once, but at x = -3.

Answer: one

Answer:

Step-by-step explanation:

To answer this, set the function y = (x + 3)^2 touch the x-axis (where y = 0) and find the actual value(s) of x:

y = (x + 3)^2 = 0

Taking the square root of both sides, we get x + 3 = ±0, or x = -3.  As this equation is a quadratic, there MUST be two roots; the roots are {-3, -3}.  Thus in theory, the graph touches the x-axis in two places, but these two places are identical:   (-3, 0)

Evaluate the expressions 2(8-4)

Answers

Answer:

8

Step-by-step explanation:

2(8-4)

PEMDAS says parentheses first

2 * (4)

Then multiply

8

Answer:

8

Step-by-step explanation:

2(8-4)

2(4)

8

Cup o’ Coffee buys its coffee for $1.25 a cup. The coffee shop then sells each cup for $3.75. What is the percent markup for a cup of coffee?

Answers

Answer:

47%

Step-by-step explanation:

.375 × .125 = .046875

rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.

move the decimal three digits to the left and you get, 47%.

Hope this helps brainlest? please

how do i solve this??

Answers

Answer:

128º

Step-by-step explanation:

You just add the two angles together

<GFE=<KFE+<GFK

<GFE=100+28

<GFE=128

A chef made 20 desserts in

60 minutes. How many

minutes would it take him

to make 90 desserts?

Answers

it would take him 270 minutes

1. Find the product of 4 X 2 X 3 two different ways.

Answers

Answer:

6 x 4

8 x 3

The product: 24

Hope This Helps! •v•

Step-by-step explanation:

Answer:

6 x 4

8 x 3

The product: 24 K12 is how i know thx bye! :D

Solve for B
A=3B+4C
B=?​

Answers

Answer:

[tex]3b + 4c = a[/tex]

[tex]3b = a - 4c[/tex]

[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4}{3} [/tex]

[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4c}{3} [/tex]

[tex]b = \frac{a}{3} + \frac{ - 4c}{3} [/tex]

[tex]b = \frac{a}{3} - \frac{4c}{3} [/tex]

Step-by-step explanation:

Thanks!!!!!

100- 58.90 is equal to what

Answers

Answer:

41.1

Step-by-step explanation:

use calculator

100- 58.90 is equal to 41.10

Calculate the surface area of the three-dimensional objects below.​

Answers

The answer is:
____34____

please help! i reward brainliest
plz no silly answers

Answers

Answer:

With 4 times the number of machines, it would take 8 hours

Step-by-step explanation:

8 hours, have a great day. brainliest?

How do you know if the exponent is negative in scientific notation

Answers

Answer:

if the original number is a decimal the exponent is negative for example .005 would be 5x10^-3

Step-by-step explanation:

the exponent is only positive for whole numbers like 50 500 5000 hope it helps

Answer:

if the decimal point moves to the right

Which of the following is not a perfect cube?125729225512

Answers

Answer: if you meant: 125, 729, 225, 512.

The answer is 225

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] = 5

[tex]\sqrt[3]{729}[/tex] = 9

[tex]\sqrt[3]{512}[/tex] = 8

[tex]\sqrt[3]{225}[/tex] = 6.08220199557

Which of the following statements must be true based on the diagram below? Select all that apply.( diagram not to scale)

Answers

ST is an angle of bisector

Find the slope of the line that passes through (3, 6) and (7, 7).

Answers

Answer:

0.25

Step-by-step explanation:

do y2-y1 divided by x2-x1

Answer:

1/4

Step-by-step explanation:

[tex]m=\frac{7-6}{7-3} =\frac{1}{4}[/tex]

I hope this help you

Tabitha sent 22 text messages every day for 7 days. How many messages did she send total?
154 messages
176 messages
164 messages
144 messages

Answers

22 x 7 = 154
She sent 154 messages

Answer:

the answer is 154

Step-by-step explanation:

22x7=154

I Will brainlist who can answer this question please!!!​

Answers

The answers are
D) x^2 - 9, A) 8x - 600, C) 9, B) php1000, T) 10 and 45

Work out m and c for the line:
Y = 2x – 1
m =
C =

Answers

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

The values are :

[tex] m = 2[/tex]

[tex]c = - 1[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

The equation of the given line is :

[tex]y = 2x - 1[/tex]

aand general equation of a line is :

[tex]y = mx + c[/tex]

where,

m = slope of the line

c = y - intercept of the line

now, by equating both the equations we get :

[tex]m = 2[/tex]

[tex]c = - 1[/tex]

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

Hey there, first let's find the slope.

M=y2-y1/x2-x1.

M=7-3/2-1 which is 4/1.

So your slope is 4

So now we have y=4x+b.

Now we need our Y-intercept (B). which is -1

So your answer is Y=4x-1

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