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Fofino [41]
3 years ago
7

Complete the function table below for the function f(x) = 5x - 7

Mathematics
1 answer:
kati45 [8]3 years ago
3 0
1     2   3   4      5    6   
-2    3   8   13   18  23 
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Please help!!As soon as possible!!
pychu [463]

Answer: Their equations have different y-intercept but the same slope

Step-by-step explanation:

Since, the slope of the line passes through the points (2002,p) and (2011,q) is,

m_1 = \frac{q-p}{2011-2002} = \frac{q-p}{9}

Similarly, the slope of the line asses through the points (2,p) and (11,q) is,

m_2 = \frac{q-p}{11-2} = \frac{q-p}{9}

Since, m_1 = m_2

Hence, both line have the same slope.

Now, the equation of the line one having slope m_1 and passes through the point (2002,p) is,

y - p = \frac{q-p}{9}(x-2002)

Put x = 0 in the above equation,

We get, y = \frac{2000(p-q)}{9}+p

The y-intercept of the line one is (0, \frac{2000(p-q)}{9}+p)

Also, the equation of second line having slope m_2 and passes through the point (2,p)

y-p=\frac{q-p}{9}(x-2)

Put x = 0 in the above equation,

We get, y = \frac{2(p-q)}{9}+p

The y-intercept of the line one is (0, \frac{2(p-q)}{9}+p)

Thus, both line have the different y-intercepts.

⇒ Third option is correct.

6 0
3 years ago
What ratio is proportional to 18/21
Doss [256]

Answer:

There are many.

Step-by-step explanation:

When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.

An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.

\dfrac{18}{21} = \dfrac{6}{7}

That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:

\dfrac{6}{7} x \dfrac{2}{2} = \dfrac{12}{14}

That's the same ratio scaled up by a factor of 2.

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{3}{3} = \dfrac{18}{21}

That's the ratio given

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{4}{4} = \dfrac{24}{28}

Scaled up by a factor of 4

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{5}{5} = \dfrac{30}{35}

Scaled up by a factor of 5.

The list goes on and on.


3 0
3 years ago
How to factor 9X^3-27
azamat
You will find teh GCF of that this will give you 9(x3-3) now you can fator it teh factors of these can be (x2+1) and (x-3)
4 0
2 years ago
Round 36, 993 to nearest thousands
Natalija [7]
37,000 , The 6 is closer to 10 than it is 0
5 0
2 years ago
Read 2 more answers
please help me with this question! i will give 40 points and brainliest! please help with answer and explanation. thanks you so
riadik2000 [5.3K]

Answer:

to find the sale price, you need to find what 34% of 82 is.

82 x 0.34 = 27.88

subtract that from the original price

82 - 27.88 = $54.12

you could also multiply 82 by (1 - .34) to get the same answer

82 x (.66) = $54.12

sale price is $54.12

hope this helps:)

Step-by-step explanation:

3 0
2 years ago
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