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frozen [14]
3 years ago
11

Can someone explain please​

Mathematics
1 answer:
blondinia [14]3 years ago
3 0

Answer:

\large\boxed{B.\ \dfrac{7}{4}}

Step-by-step explanation:

\dfrac{\Delta y}{\Delta x}=\dfrac{14}{8}=\dfrac{14:2}{8:2}=\dfrac{7}{4}

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Long division<br> 3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2
inna [77]
(6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2) / (3x+1)

We divide first number from first parenthesis with first number from second parenthesis. Then the resulting number we multiply by all numbers in second parenthesis and substract from first parenthesis.

6 x^{6}/3x = 2 x^{5} \\  \\ 6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2 - 6 x^{6} -2 x^{5} = 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2\\

We repeat previous steps until we run out of numbers:
3x^{5}/3x=x^{4} \\ \\ 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2-3x^{5}-x^{4}= \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2 \\ \\ \\ x^{4}/3x= \frac{1}{3} x^{3} \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2-x^{4}- \frac{1}{3} x^{3}= \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2 \\ \\ \\ - \frac{28}{3} x^{3}/3x= - \frac{28}{9} x^{2} \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2+ \frac{28}{3} x^{3}+ \frac{28}{9} x^{2} = \\ \\ \frac{91}{9} x^{2}-10x+2
\frac{91}{9} x^{2}/3x=\frac{91}{27} x \\ \\ \frac{91}{9} x^{2}-10x+2-\frac{91}{9} x^{2}-\frac{91}{27} x= \\ \\ -\frac{361}{27} x+2 \\ \\ \\ -\frac{361}{27} x/3x=-\frac{361}{81} \\ \\ -\frac{361}{27} x+2+\frac{361}{27}x+\frac{361}{27}= \\ \\ \frac{415}{27}

We are left with a number that has no x inside. This is remainder.
The final solution is sum of all these solutions and remainder:
(2 x^{5}+x^{4}+\frac{1}{3} x^{3} - \frac{28}{9} x^{2} +\frac{91}{27} x)+(-\frac{361}{81} )
6 0
3 years ago
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75
ryzh [129]
If this were to be graphed, the independent variable would be the price of the ticket for the rides. The dependent variable would be the total cost.

The fair admission is not a variable because it is a constant price for every single person who goes into the fair.

The problem asks to use y to represent the total cost and x to represent the number of ride tickets. In order to fully write out the equation, we have to figure out what the fair admission costs.

43.75 = 1.25(25) + b

*b represents the fair admission

Multiply 1.25 by 25

43.75 = 31.25 + b

Subtract 31.25 to find what b costs.

12.50 = b

The fair admission costs $12.50.

Solution: y = 1.25x + 12.50

3 0
3 years ago
Read 2 more answers
Mary scored 10 points less than Judy in the game. Lucy scored twice as many points as
kodGreya [7K]
The answer for this is 10
6 0
3 years ago
Can you please help me with this?
11Alexandr11 [23.1K]

Answer:

y=1

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, the ratio of x:y are 3:1

Because the x is literally 3, the ratio is...3:1.

Hence, y=1

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!

4 0
3 years ago
Find the coordinates of the points of intersection of the graphs with coordinate axes:
natali 33 [55]
It would be (3,0) and (0,3) respectively.
8 0
3 years ago
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