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Tomtit [17]
2 years ago
7

Help math math math ASAP

Mathematics
2 answers:
valentinak56 [21]2 years ago
6 0

Answer:

\displaystyle y = -5x + 10

Step-by-step explanation:

5<em>x</em> + <em>y</em> = 10

- 5x - 5x

_________

\displaystyle \boxed{y = -5x + 10}

I am joyous to assist you at any time.

STALIN [3.7K]2 years ago
4 0
<h3><u>Solution</u>:-</h3>

The equation of any straight line can be written as in slope intercept form as -

\green{ \underline { \boxed{ \sf{y=mx+c}}}}

where,

  • m is its slope
  • c is its y-intercept.

<em><u>Given equation:- </u></em>

\begin{gathered}\\\implies\quad \sf 5x+y = 10 \\\end{gathered}

<u>Arranging it in slope intercept form by transposing 5x to RHS </u>

\begin{gathered}\\\implies\quad \sf y = 10 -5x \\\end{gathered}

\begin{gathered}\\\implies\quad \sf y =  -5x +10\\\end{gathered}

\leadstoComparing the equation y = -5x +10 with the standard form of the equation, we get -

\quad \bull\: \sf m= -5

\quad \bull \: \sf c= 10

Thus , 5 is our required answer.

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Factor of x^3-x^2-24x-36
Basile [38]
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
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f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
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What is the slope of this line? ​
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