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4 years ago

Which table shows a proportional relationship between x and y?

Mathematics

1 answer:

kvasek [131]4 years ago

6 0

Answer:

the third table listed here

Step-by-step explanation:

A "proportional" relationship has the same y/x ratio for all values of x and y.

... first table: all entries but one have y/x = 1/3. The 3rd entry has y/x = 0.4—not the same.

... second table: 6/4 ≠ 8/6

... third table: all entries reduce to y/x = 15

... fourth table: 3/2 ≠ 4/3

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Which number line represtents the solution to |x+4|=2?

vlada-n [284]

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

$|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x$

To solve the equation, you need to treat the two cases as above:

$|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2$

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

$|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x$

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

7 0

3 years ago

Is -2-x the same as -2x?

garik1379 [7]

Answer:

yes

Step-by-step explanation:

the variable cannot have a negative symbol, unless it has no number.

4 0

3 years ago

-<br> The expression x² - 5 is prime.<br> Is it true or false

lana [24]

Answer:

false

Step-by-step explanation:

X squared minus 5 is not necessarily prime

7 0

3 years ago

What is 2688 divided by 16

Pie

Hi there!

This should be easy do write out on a calculator...
But your answer is 168.

16 goes into 1688 about 168 times. :P

Hope this helps! PM me if you need further explanation.

6 0

4 years ago

Read 2 more answers

What is the missing length?<br> 20 cm<br> area = 580 cm

Ludmilka [50]

Answer:

580 / 20 = 29 cm = P

7 0

3 years ago