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malfutka [58]
3 years ago
9

Which pair of numbers is relatively prime

Mathematics
2 answers:
nydimaria [60]3 years ago
6 0

Answer:

D is correct.

Step-by-step explanation:

I just finished taking the quiz.

Anna007 [38]3 years ago
5 0
Without any calculations it's evident it can't be neither B (both numbers are even, so they're divisible by 2) nor C (the numbers end in 0 and 5, so they're divisible by 5).

A.
57=3\cdot19\\
96=2^5\cdot3
Both numbers have a factor of 3, so they're not relatively prime.
That means it must be D. But, let's check it.

143=11\cdot13\\
323=17\cdot19

Indeed, those two numbers are relatively prime.

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Classify each system of equations as having a single solution, no solution, or infinite solutions.
mina [271]
To find what the answer is for this problem, we need to find out whether each of them have infinite, no, or single solutions. We can do this individually.

Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.

2y = -4x + 10
y = -2x +5

Since both equations give the same line, the first one has infinite solutions.

 Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form. 

x = 26 - 3y becomes
3y = -x + 26
y = -1/3x + 26/3 

2x + 6y = 22 becomes
6y = -2x + 22
y = -1/3 x + 22/6

Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions. 

Now the third one. We do the same steps. 

5x + 4y = 6 becomes
4y = -5x + 6
y = -5/4x + 1.5
 
10x - 2y = 7 becomes
2y = 10x - 7
y = 5x - 3.5

Since these two equations are completely different, that means that this system has one solution.

Now the fourth one. We do the same steps again. 

x + 2y = 3 becomes
2y = -x + 3
y = -0.5x + 1.5

4x + 8y = 15 becomes
8y = -4x + 15
y = -1/2x + 15/8

Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions. 

Now the fifth one. 

3x + 4y = 17 becomes
4y = -3x + 17
y = -3/4x + 17/4

-6x = 10y - 39 becomes
10y = -6x + 39
y = -3/5x + 3.9

Since these equations are completely different, there is a single solution. 

Last one!

x + 5y = 24 becomes
5y = -x + 24
y = -1/5x + 24/5

5x = 12 - y becomes
y = -5x +12

Since these equations are completely different, this system has a single solution. 
8 0
3 years ago
What is the fifth root of 16 times the fifth root of 8
Lena [83]

Answer:

2.63901582155

Step-by-step explanation:

4 0
3 years ago
Help me, idk what to do​
ikadub [295]

Answer:

second one is the correct option which says 35+5x=90

3 0
3 years ago
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Write all the integers between the given pairs (write them in the increasing order.)
laila [671]

-30

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7 0
3 years ago
15 POINTS!! I NEED TO KNOW THE ANSWER WITHIN 2 HOURS!!! PLEASE HELP!!
iogann1982 [59]
<h3>Answer: x*a^2 or a^2*x</h3>

======================================

Work Shown:

a^(b+2) = a^b*a^2 ... break up the exponent

a^(b+2) = x*a^2 ... replace a^b with x

We don't know the value of 'a' nor the value of x, so we cannot evaluate further. This is the same as a^2*x because order of multiplication does not matter. For example, 2*3 = 6 and 3*2 = 6, so 2*3 = 3*2.

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3 years ago
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