A consistent and dependent system of linear equations has how many solutions?​

Answers

Answer 1

Answer/Step-by-step explanation:

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.


Related Questions

PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

b

Step-by-step explanation:


The balance in Alex's bank account is $675. The account
earns 6% simple interest calculated twice per year. If Alex
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756

Answers

Answer:

$852

Step-by-step explanation:

From the given question, the following are given:

Present value, PV = $675

Rate, r = 6% = 0.06

Number of years, n = 2 years

Number of times per year, m = 2

The balance in his account is the future value (FV), so that;

Future value = PV[tex](1+r)^{nm}[/tex]

                     = 675[tex](1+0.06)^{(2*2)}[/tex]

                     = 675 x 1.26248

                     = 852.174

Future value = $852

Thus, the balance in Alex's account would be $852.

Find the measure of the missing angle

Answers

Answer:

79 degrees

Step-by-step explanation:

the 2 angles together make a 180 degree angle

Multiple Choice.
What is the solution to the square root of -75 to the nearest integer?
A 9
bB. 8
C.-8
D. -9
MAXIMUM POINTS

Answers

Answer:

I belive it is 'A'  9

Step-by-step explanation:

because the square root is 8.66025404 so that rounded to the nearest integer would be 9

1.83 x 10^8 is how many times greater than 6.1 x 10^5?

Answers

Answer:

1.83 x 10^8 is how many times greater than 6.1 x 10^5?1.83 x 10^8 is how many times greater than 6.1 x 10^5?

Step-by-step explanation:

Nancy hopes to collect 100 oysters from the ocean. She has
collected 15% of her goal so far. How many oysters does
she have?

Answers

Answer:

15 oysters have been collected

Step-by-step explanation:

15/100 x 100

100 on the right hand side being the oysters she must collect and the 15% being the percentage of oysters she has collected divided by 100 which is used when finding out the percentage of numbers

A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!

Answers

Answer:

B

Step-by-step explanation:

9x20=180

help if you can dont answer if you dont know please

Answers

Answer:

Area of the shaded region 85 square inches

Step-by-step explanation:

10(width)x8(height)=80

Triangle on the right= (8x5)/2=20

Triangle on the left=(8x5)/2=20

Both triangles' area=40

80+40=120

Not shaded area=5x7=35

120-35=85

(-2,1); m = 5
Find the equation of the line

Answers

Here’s the correct answer, how I got it, and something to help you for next time :)

if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum​

Answers

formula p= 100 I/RT

100×1050÷7.5×4

105000÷30

p= sh 3500

Find d²y/dx² in terms of x and y.
y^5 = x^7
d²y/dx² =????​

Answers

Answer:   [tex]\frac{14y}{25x^2}[/tex]

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

Work Shown:

First calculate [tex]\frac{dy}{dx}[/tex] through the use of implicit differentiation.

Don't forget about the chain rule.

[tex]y^5 = x^7\\\\\frac{d}{dx}\left[y^5\right] = \frac{d}{dx}\left[x^7\right]\\\\5y^4\frac{dy}{dx} = 7x^6\\\\\frac{dy}{dx} = \frac{7x^6}{5y^4}\\\\[/tex]

Go back to line 3, shown above, and apply the derivative to both sides.

You'll be using the product rule.

[tex]5y^4\frac{dy}{dx} = 7x^6\\\\\frac{d}{dx}\left[5y^4\frac{dy}{dx}\right] = \frac{d}{dx}\left[7x^6\right]\\\\\frac{d}{dx}\left[5y^4\right]*\frac{dy}{dx}+5y^4*\frac{d}{dx}\left[\frac{dy}{dx}\right] = 42x^5\\\\20y^3*\frac{dy}{dx}*\frac{dy}{dx}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]

Use substitution and isolate [tex]\frac{d^2y}{dx^2}[/tex] to get the following:

[tex]20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\20y^3*\left(\frac{7x^6}{5y^4}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5y^5}+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5x^7}+5y^4\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]

[tex]\frac{196x^5}{5}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\5y^4*\frac{d^2y}{dx^2}=42x^5-\frac{196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{210x^5-196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{14x^5}{5}\\\\[/tex]

[tex]\frac{d^2y}{dx^2}=\frac{14x^5}{5}*\frac{1}{5y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5}{25y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5*x^2}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14x^7}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y^5}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y}{25x^2}\\\\[/tex]

Noah had $5.25 and Lin had $8.95. How much did they have altogether? Group of answer choices $ 3.70 $ 46.99 $ 14.20 $ 14.10

Answers

Answer:

C. $14.20

Step-by-step explanation:

I got this answer because $8.95 plus $5.25 equals $14.20.

Please mark brainliest

please help me if you don’t know the answer, please don’t answer it.

Answers

Answer:

Step-by-step explanation:

(1/2)/3 = x/4

1/6=x/4

x=4/6 = 2/3

x = 4/6 = 2/3 is the answer, hope this helps!!

Find the exact length of the third side.
48
14

Answers

Answer:118

Step-by-step explanation:

It has to equal 180 degrees in total so 48+14=62

180-62=118

So the answer is 118

Brainliest to whoever answers this correctly!

Answers

The slope is a number that tells how steepness it is.

Meaning that the bigger slope it is, the more steepness it is.

We compare how steepness it is. Greater slope, greater steepness.

As plotted the graph of g(x) = -7x - 1

The g(x) does have more steepness than f(x).

Therefore, the answer is A.

Explain why xyz is similar to lmz ​

Answers

Answer:

Because they both have 65 degree angles and are both triangles

Step-by-step explanation:

Answer:

because they have the same bottom degrees

Step-by-step explanation:

The Equation (y-y1)=m(x-x1) represents the point-slope form of a linear equation.Which equation can be used to find y1?

y1 = m(x – x1) + y

y1 = -mx + mx1 – y

y1 = y – mx + mx1

y1 = -mx – mx1 + y​

Answers

Answer:

Step-by-step explanation:

The first one

AP
Solve the absolute value inequality 2|x-7/2|+4>9 algebraically. Select the correct graph of the solution.

Answers

Answer:

x < 1 or x > 6

Step-by-step explanation:

PLZ HELP ME QUICKKKKKKKKKKK

Answers

Answer:

i guess

Step-by-step explanation:

How many students voted for each
participant?

Answers

Answer:

12 people voted for Matthew and 18 people voted for Diana.

Step-by-step explanation:

1. Multiply 30 by 0.4 to get 12.

2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.

What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?

Answers

Answer:

22 meters per second

Step-by-step explanation:

If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.

The Spanish club raised $131.25 by having a garage sale and car wash. The amount raised at the car wash was half the amount raised at the garage sale. How much was raised at each event​

Answers

Answer:

Car Wash: $43.75   and   Garage Sale: $87.5

FINDDDD VALUE OF Z !!!!!

Answers

I can help you did you ask Siri?

Just take a picture on Siri the would lead you to the answer.

Step-by-step explanation:

I hope that helps please give me Brainliest

z=9 hope this helps!!!

Solve.

x/2 + 8 = 14

x=

Answers

Answer: x=12

Explanation:

can you help me please? ( I didn't mean to pick a answer)​

Answers

Answer:

#3:8n-4

Step-by-step explanation:

combine like terms

3n+n=4n

-7+5=-2

4n-2

multiply that by 2 to get the perimeter, which is 8n-4

a2+14a+49 please help me​

Answers

I think it is (a+7)^2

bro sombody help me i am extremly not smart
and bad at math, thank you

Answers

Answer:

sure wuts ur question? I GOT IT

4 LBS

What’s the question then I’ll help lol

Colton opened a savings account and deposited $1,000.00 as principal. The account earns 11% interest, compounded annually. What is the balance after 8 years? Round your answer to the nearest cent.

Answers

Answer:

$2304.5

Step-by-step explanation:

The balance after 8years=P(1+R/100)^t

=1000(1+11/100)^8

=$2304.5

The solution to the system is

( , )

Answers

Answer:

x = ½

y = 3

Step-by-step explanation:

—Math

0,8 –4x = –0,4y ==> –4x + 0,4y = –0,8

6x + 0,4y = 4,2 ==> 6x + 0,4y = 4,2

______________–

–10x = –5,0

x = –5/–10

x = 1/2

–4x + 0,4y = –0,8

–4(½) + 0,4y = –0,8

–2 + 0,4y = –0,8

0,4y = –0,8 + 2

y = 1,2/0,4

y = 3

x = ½

y = 3

Follow my account^^

What is the result when 3x4 + 10x3 + 14x2 + 12x + 5 is divided by x + 1?

Answers

Answer:

3x^3 + 7x^2 + 7x + 5

Step-by-step explanation:

Use long division for polynomials.

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