All categories

3 years ago

A consistent, independent system of equations is a system with __________.

1 answer:

4 0

A consistent , independent system of equation is one that has at least one solution.It is independent because it has a single solution.

Step-by-step explanation:

The three types of systems of linear equations in two variables and three types of solutions.

An independent system has exactly one solution pair (x,y). The point of intersection presents the single solution.

An inconsistent system has no solution.such equations will produce two parallel lines with no solution.

A dependent system has infinitely many solution.Such lines are coincident.

Learn More

Equations: brainly.com/question/2595790

Keyword : consistent, independent , equations

#LearnwithBrainly

You might be interested in

a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation b

nikdorinn [45]

Answer:

Part 1)

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

Both values of x are

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

Part 2) The dimensions of the cuboid are

$4\ cm$ , $(-5+\sqrt{266})\ cm$ and $(5+\sqrt{266})\ cm$

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

$V=LWH$

substitute the given values

$V=4(x+1)(x+11)$

$V=924\ cm^{3}$

$4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0$

Complete the square

$x^{2}+12x-230=0$

$x^{2}+12x=230$

$x^{2}+12x+36=230+36$

$(x+6)^{2}=266$

square root both sides

$x+6=(+/-)\sqrt{266}$

$x=-6(+/-)\sqrt{266}$

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

therefore

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

step 2

Find the dimensions of the cuboid

The dimensions are

$4\ cm$

$(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm$

$(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm$

4 0

3 years ago

Read 2 more answers

Please write a word problem to represent 5÷ 1 and 1 half

Advocard [28]

Answer:

Ana baked 5 cookies and wanted to divide 1.5 of the cookies to her friends and the rest to her family. How many cookies were given to her friends?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Out of 3000 welds that have been made on a tower, it is suspected that 35% are defective. To estimate p, the proportion of defec

dusya [7]

Answer:

eeeeee

Step-by-step explanation:

8 0

4 years ago

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend. Ashley watched 6 times as many hours as G

Rainbow [258]

Answer:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Step-by-step explanation:

Let us represent:

The number of times

Ashley watched TV = x

Gabby watched TV = y

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.

= x + y = 14..... Equation 1

x = 14 - y

Ashley watched 6 times as many hours as Gabby.

x = 6y

Using substitution method

We substitute 14 - y for x

14 - y = 6y

14 = 6y + y

14 = 7y

y = 14/7

y = 2 hours

Solving for x

x = 14 - y

x = 14 - 2

x = 12 hours

Therefore:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

6 0

3 years ago

Plz help me with number 4 and 5 this is due tomorrow you don't have to show the work.

kozerog [31]

Where is the shaded region?

7 0

3 years ago