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AlekseyPX
3 years ago
5

Find t(6) for the function t(n) = 0.009n.

Mathematics
2 answers:
creativ13 [48]3 years ago
4 0
T(6) = 0.009 * 6 
t(6) = 0.054
Rudiy273 years ago
4 0
T(6)=9/1000(6)=54/1000=0.054
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Find the slope of the given points (3, 4) and (7,-4).<br> A)-1/2<br> B) 2<br> C) -2<br> D) 0
kakasveta [241]

Answer:

-2

Step-by-step explanation:

y = kx + n

When you insert the given points you get

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7 0
3 years ago
11. Find the solutions of x^2-x-30 = 0.
asambeis [7]

To find the solutions of quadratic equation, there are two ways to do which are:

  • Factorize
  • Quadratic Formula

<u>S</u><u>t</u><u>e</u><u>p</u><u> </u><u>1</u>

- Factor the expression.

To factor the expression, refer below:

\displaystyle \large{ (x - a)(x - b) =  {x}^{2}  - bx - ax + ab}

For bx and ax, both can be common-factored. Therefore

\displaystyle \large{ (x - a)(x - b) =  {x}^{2}  - (b  +  a)x + ab}

From the above, we conclude that:

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  • The last term is a×b
  • Thus, we have to find two numbers that satisfy a+b and a×b

From the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.

\displaystyle \large{{x}^{2}  - x - 30 = (x  +  5)(x - 6)}

Because in the middle term, it is -x which is negative, we have to let the highest number become negative.

From the factored expression:

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Then we replace the standard equation with factored form.

\displaystyle \large{ (x  +  5)(x - 6) = 0}

For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!

Hence

\displaystyle \large{ x =  - 5, 6}

Therefore, the solutions are x = -5, 6.

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3 years ago
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Step-by-step explanation:

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