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2 years ago

What are the three differences between an inconsistent system and a consistent and independent system. Explan?

1 answer:

5 0

Hey there Mejia021274,
1) Independent systems have exactly one solution:
x + y = 1
x - y = 3
x = 2, y = -1

2) Inconsistent systems have no solutions :
5x + y = 6
5x + y = 10
There is no solution as 5x + y cannot be equal to 6 and 10

3) Consistent systems have a lot of solutions:
x+y = 5
2x+2y = 10 
A few solutions to this system are (1,4), (2,3), (3,2), (4,1), (5,0), and so on.

Hope this helps :))

~Top

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Simplify the polynomial. Then find its value for the given value of the variable.

vekshin1

Answer:

Step-by-step explanation:

Simplified expression:

$3x^3 -x^3 +5x^3-9x^3$

$2x^3 +5x^3-9x^3$

$7x^3 -9x^3$

$-2x^3$

If x = -1, the value of the expression is:

$-2x^3$

$-2(-1^3)$

$-2(-1)$

$2$

Hope this helps!

3 0

2 years ago

Nine times fours is what

wel

Answer:

Step-by-step explanation:

9 x 4 =46

5 0

2 years ago

Read 2 more answers

I did 3 over 7 then 8 over x. I'm getting decimals. ‍♀️

julia-pushkina [17]

Answer:

The length of side b is 9.

Step-by-step explanation:

Triangles are similar if they have the same shape, but can be different sizes.

When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle $ABC$ is similar to the triangle $XYZ$ . Therefore the following relation must be true:

$\frac{AB}{AC} =\frac{XY}{XZ}$

We know that side $AB$ is equal to 8, side $AC$ is equal to b, side $XY$ is equal to $2\frac{2}{3}$ , and side $XZ$ is equal to 3.

Substituting these values into the above relation and solving for b we get that:

$\frac{8}{b} =\frac{2\frac{2}{3} }{3}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{b}=\frac{\frac{8}{3}}{3}\\\\8\cdot \:3=b\frac{8}{3}\\\\24=b\frac{8}{3}\\\\8b=72\\\\b=9$