<img src="https://tex.z-dn.net/?f=2nx%5E%7B2%7D%20%2B15n%2B7%5C%5C" id="TexFormula1" title="2nx^{2} +15n+7\\" alt="2nx^{2} +15n+

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ki77a [65]

3 years ago

7\\" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

Answer:

x = ± √(-15n-7) / √2n (± (-15n-7)^(1/2) / (2n)^(1/2))

Step-by-step explanation:

Factoring?

2nx² + 15n+7 = 0

2nx² + 0*x + (15n+7) = 0 ... ax²+bx+c=0

Roots: x = (-2b ± √b²-4ac)) / 2a = (0 ± √0-4*2n*(15n+7)) / 4n

x = ± (√8n (-15n-7)) / 4n = ± (2√2n(-15n-7)) / 4n = ± (√2n(-15n-7)) / 2n

or x = ± √(-15n-7) / √2n

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Plz help I'll give brainy!!!

marta [7]

Answer:

see below

Step-by-step explanation:

we are given a exponential function

$\displaystyle y = \left(1/5\right) ^{x}$

we want to figure out the missing values of y for x i.e (-2,-1, and 2) to do we can consider substituting so,

when x is -2 y should be

$\displaystyle y = \left(1/5\right) ^{ - 2}$

rewrite ⅕ in exponent notation:

$\displaystyle y = \left((5) ^{ - 1} \right) ^{ - 2}$

by law of exponent we obtain:

$\displaystyle y = (5) ^{ 2}$

simplify square:

$\displaystyle y = \boxed{ 25}$

when x is -1:

$\displaystyle y = \left(1/5\right) ^{ - 1}$

rewrite ⅕ in exponent notation:

$\displaystyle y = \left((5) ^{ - 1} \right) ^{ - 1}$

use law of exponent which yields:

$\displaystyle y = \boxed5$

when x is 3:

$\displaystyle y = \left(1/5\right) ^{ 3}$

by law of exponent we obtain:

$\displaystyle y = 1/ {5}^{3}$

simplify square which yields:

$\displaystyle y = \frac{1}{ \boxed{125}}$

5 0

3 years ago

What is the maximum r-value for the polar equation r = -3 + 5 sin theta? Note that a maximum r-value is a maximum value of (r),

kipiarov [429]

Answer:

Step-by-step explanation:

The given equation, r = -3 + 5 sin theta, includes a sine term whose max value is +5 and whose min value is -5. We are interested in finding the max value that r can have. To obtain this, take that constant term, -3, and add teh max value of the sine function, which is +5. Net: 5 - 3 = 2.

The max value that r = -3 + 5 sin theta can take on is +2.

5 0

3 years ago

Read 2 more answers

Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to

Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

$\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24$