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3 years ago

Is the number -284.2 rational or irrational?

Mathematics

1 answer:

Tpy6a [65]3 years ago

5 0

Answer: -284.2 is a rational number

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Solve with matrices. 5x -3y = 18 and 2x + 7y = -1

muminat

We'll use Cramer's rule for 2 equations:

ax + by = e

cx + dy = f

5x -3y = 18 a=5 b=-3 e=18

2x + 7y = -1 c=2 d=7 f=-1

denominator determinant (dn) = (a * d) - (c * b) = 5 * 7 - (2 * -3) = 41

x = [(e * d) - (f * b)] / dn

[18 * 7 - (-1 * -3)] / 41 =

123 / 41 = 3

y = [(a * f) - (c * e)] / dn

= (5 * -1) -(2 * 18) / 41 =

-41 / 41 = -1

Source:

1728.com/cramer.htm

6 0

4 years ago

Which Function rule describes the pattern in the table? x:-2,-1,0,1,2 / y:14,11,8,5,2 A) y=3x+8 B) y= -3x-8 C) y=3x-8 D) y=-3x+8

Leona [35]

For every value tht x increases, y decreases by 3

-3x

Then to find the y intercept, look at 0's corresponding value (8)

-3x+8

6 0

3 years ago

Solve for g: 4g/14 - 3/7 - g/14 = 3/14

Luden [163]

Answer:
g = 3

Explanation:
To solve for g, we will need to isolate the g on one side of the equation.
This can be done as follows:
 $\frac{4g}{14} - \frac{3}{7} - \frac{g}{14} = \frac{3}{14}$ 

1- multiply all terms by 14 to get rid of the fraction:
4g - 6 - g = 3

2- Combine like terms:
4g - g = 3 + 6
3g = 9

3- Isolate the g:
 $\frac{3g}{3} = \frac{9}{3}$

g = 3

Hope this helps :)

8 0

3 years ago

Read 2 more answers

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Anuta_ua [19.1K]

Answer:yes

Step-by-step explanation:

There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

6 0

3 years ago

Read 2 more answers

How do i complete the square for this equation ? x^2+ 8x+y^2-2y=64

liraira [26]

Simplifying x2 + 8x + y2 + -2y = 64
Reorder the terms: 8x + x2 + -2y + y2 = 64 Solving 8x + x2 + -2y + y2 = 64 Solving for variable 'x'.
Reorder the terms: -64 + 8x + x2 + -2y + y2 = 64 + -64
Combine like terms: 64 + -64 = 0 -64 + 8x + x2 + -2y + y2 = 0

The solution to this equation could not be determined.

4 0

3 years ago