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4 years ago

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Without graphing, is the system independent, dependent, inconsistent? {12x=3y=12 y=-4x+5

1 answer:

Alla [95]4 years ago

7 0

Okay so you out them into the form of y=mx+b. since equation 2 is already like that you need to do it to equation 1. which is y=-4x+4. graph both equations. if it has a solution (1 point where the two lines meet) it is consistantly and independent. if they are parallel lines and the solution is 0 the system is inconsistent and the lines are dependent. if it's the same line they are consistent and dependent. the line is not the same since the y intercept is different. the slope is the same though which tells us its parallel. so the system has a solution of 0 and is inconsistent and the lines are independent.

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Please help answer the question.

muminat

Answer:

a. $\dfrac{y^8}{x^{10}}$

Step-by-step explanation:

First step is ti distribute the exponent outside the parenthesis. According to the law of exponents, you need to distribute it to each variable.

$\left(\dfrac{x^{-4}y}{x^{-9}y^5}\right)^{-2}\\\\=\dfrac{x^{(-4\times-2)}y^{(1\times-2)}}{x^{(-9\times-2)}y^{(5\times-2)}}\\\\=\dfrac{x^{8}y^{-2}}{x^{18}y^{-10}}$

Now again, following the law of exponents, if you have negative exponents, you put them in the opposite side of the fraction.

$=\dfrac{x^8y^{-2}}{x^{18}y^{-10}}\\\\=\dfrac{x^8y^{10}}{x^{18}y^{2}}\\\\$

Next, when it comes to division, we subtract the exponents of the numerator and the denominator of similar variables.

$=\dfrac{x^8y^{10}}{x^{18}y^{2}}\\\\=x^{(8-18)}y^{(10-2)}\\\\=x^{-10}y^8$

Since the exponent of x is negative, we move it below the fraction.

$\dfrac{y^8}{x^{10}}$

6 0

3 years ago

Please help me with this

Drupady [299]

The answer is d 9,891

3 0

3 years ago

Let p: A number is greater than 25. Let q: A number is less than 35. If p ∧ q is true, then what could the number be? Select two

melisa1 [442]

Answer:

The correct answer are 28 and 32.

Step-by-step explanation:

Given p: A number is greater than 25, that is, the possible numbers are 26, 27, 28, 29, 30, 31, 32, 33, 34, .... and so on. And

q: A number is less than 35, that is the possible numbers are 34, 33, 32, 31, 30, 29, 28, 27, 26, .... and so on.

Now, p ∧ q is true when both p and q are true, this means that we have to find numbers that follow the criterion of both p and q.

So, p ∧ q = {26, 27, 28, 29, 30, 31, 32, 33, 34}. Therefore, the correct answers are 28 and 32.

3 0

3 years ago

Read 2 more answers

Solve (x+1<5) n (x-4> -3).<br> A (all real numbers)<br> B [x|1 C [x|x<4 or x> 1)

katovenus [111]

Answer:

1 < x < 4 . . . . {x | x < 4 <u>and</u> x > 1}

Step-by-step explanation:

We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.

x + 1 < 5

x < 4 . . . . . . . subtract 1

__

x -4 > -3

x > 1 . . . . . . . add 4

So, the solution is ...

(x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions

As a compound inequality, this is written ...

1 < x < 4

_____

<em>Comment on the problem</em>

The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.

7 0

3 years ago

Myra wants to buy some nice kicks for a birthday party she notices the shoes are 20% off. If the shoes are now $24, how much did

Butoxors [25]

The answer is 4*0.20 =28.20

5 0

3 years ago

Read 2 more answers