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3 years ago

Solve each system .If a system's equations are dependent or if there is no solution,state this .

Mathematics

2 answers:

tankabanditka [31]3 years ago

6 0

9514 1404 393

Answer:

(x, y, z) = (-8 2/7, -10, -7 3/7)

Step-by-step explanation:

A graphing calculator or matrix solver can find the solution easily. It is ...

(x, y, z) = (-8 2/7, -10, -7 3/7)

You can find y by subtracting the second equation from the third:

(2x -y +z) -(2x -3y +z) = (-14) -(6)

2y = -20

y = -10

Putting this value into the first equation and either of the others gives ...

x -3z = 14

2x +z = -24

Subtracting twice the first of these from the second gives ...

(2x +z) -2(x -3z) = (-24) -2(14)

7z = -52

z = -52/7 = -7 3/7

x = 14 +3(-7 3/7) = -8 2/7

So, the solution is (x, y, z) = (-8 2/7, -10, -7 3/7).

lukranit [14]3 years ago

6 0

Answer:

Step-by-step explanation:

No Solution!

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Find the exact value of s in the given interval that has the given circular function value.

docker41 [41]

Answer:

$\displaystyle s=\frac{3\pi}{4}$

Step-by-step explanation:

<u>Trigonometric Values</u>

We need to find the angle s in the interval [π/2,π] where:

$\displaystyle \sin s=\frac{\sqrt{2}}{2}$

There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.

The first angle s whose sine is $\frac{\sqrt{2}}{2}$ is:

$\displaystyle s=\frac{\pi }{4}$

The other angle is its supplementary angle:

$\displaystyle s=\pi-\frac{\pi }{4}=\frac{3\pi}{4}$

Only this last angle lies on the required interval, thus:

$\boxed{\displaystyle s=\frac{3\pi}{4}}$

8 0

3 years ago

How is 0.025¯¯¯¯ written as a fraction in simplest form?

LUCKY_DIMON [66]

I am not sure if you wrote a repeating decimal with the line next to the 0.025 so comment if you need it. If it wasn't repeating it would be simply 1/40 if there is no repeating and you only want 0.025 is a fraction in simplest form.

8 0

4 years ago

(_2/3)(Raised to power 3) multiplied by (_3/2)(raised to power 2)

Irina18 [472]

Answer:

$\frac{-2}{3}$

Step-by-step explanation:

From the given question,

$(\frac{-2}{3} )^{3}$ x $(\frac{-3}{2} )^{2}$

Applying the required principle of indices to solve the question, we have;

$(\frac{-2}{3} )^{3}$ x $(\frac{-3}{2} )^{2}$ = $\frac{(-2)^{3} }{3^{3} }$ x $\frac{(-3)^{2} }{2^{2} }$

= $\frac{-8}{27}$ x $\frac{9}{4}$

= $\frac{-72}{108}$

= $\frac{-2}{3}$

Thus, the final answer is $\frac{-2}{3}$ .

5 0

3 years ago

Consider the trinomial x^2 + 3x − 40. as a first step to factoring it, find the factors of −40 such that the sum of those factor

photoshop1234 [79]

What are factors of -40?
(-20)(2)
(-10)(4) (sum of these factors is 6, which is not what we wanted)
(-5)(8) = -40 and the sum of the factors (-5) and (8) is 3.

{-5, 8} is the list of factors of -40 that add up to 3.

3 0

4 years ago

Frances can complete 91 oil changes in 7 days How many oil changes can Frances complete in 11 days .

user100 [1]

Answer:

143

Step-by-step explanation:

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3 years ago