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Anna007 [38]
3 years ago
11

Find the midline for f(x)=−2+4cosx.

Mathematics
1 answer:
diamong [38]3 years ago
7 0
The mid-line for f(x) = 4cos x is y = 0. In the given equation, the term -2 is described as the y-shift. Therefore the mid-line for f(x) = -2 + 4cos x is:
y = -2.
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Step-by-step explanation:

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Explain why each non-zero integer has two square roots but only one cube root.
lilavasa [31]

if we have a number like say hmm 4, and we say hmmm √4 is ±2, it simply means, that if we multiply that number twice by itself, we get what's inside the root, we get the 4, so (+2)(+2) = 4, and (-2)(-2) = 4, recall that <u>minus times minus = plus</u>.

so, any when we're referring to even roots like \bf \sqrt[2]{~~},\sqrt[4]{~~},\sqrt[6]{~~}...., the positive number, that can multiply itself an even amount of times, will produce a valid value, BUT the negative number that multiply itself an even amount of times, will also produce a valid value.

now, that's is not true for odd roots like \bf \sqrt[3]{~~},\sqrt[5]{~~},\sqrt[7]{~~}...., because the multiplication of the negative number will not produce a valid value, let's put two examples on that.


\bf \sqrt[3]{27}\implies \sqrt[3]{3^3}\implies 3\qquad because\qquad (3)(3)(3)=27&#10;\\\\\\&#10;however\qquad (-3)(-3)(-3)\ne 27~\hspace{8em}(-3)(-3)(-3)=-27&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;\sqrt[3]{-125}\implies \sqrt[3]{-5^3}\implies -5\qquad because\qquad (-5)(-5)(-5)=-125&#10;\\\\\\&#10;however\qquad (5)(5)(5)\ne -125~\hspace{10em}(5)(5)(5)=125


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6 0
3 years ago
HELP ME!!! Then I will help you on a question.
Firlakuza [10]

Answer:

$150

Step-by-step explanation:

Let the account earns 5% APR as simple interest for the invested principal.

Now, the formula of simple interest gives that,

A = P(1 + \frac{rt}{100}), where A is the final amount, P is the principal amount invested, r is the % of interest and t is the number of years for which the principal is invested.

So, the interest earned will be given by, I  = P \times \frac{rt}{100}

Hence, in our case, $300 is invested for 10 years at a simple interest of 5%. So,  I = 300\times \frac{5 \times 10}{100} = 150 dollars.

Therefore, the amount of interest earned will be $150. (Answer)

5 0
3 years ago
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