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3 years ago

A number to the 12th power divided by the same number to the 9th power equals 343. What is the

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

Explanation:

Let's call our number

. The statement written as a formula is

125

We can simplify the fraction, and we have

125

To solve for

, take the third root of both sides:a

(

125

)

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Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

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2 years ago

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TiliK225 [7]

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2 years ago

F(x)=12x2-4x-8. G(x)=11x-6

AlekseyPX

Answer: Second option.

Step-by-step explanation:

Given the functions f(x) and g(x):

$f(x)=12x^2-4x-8\\\\g(x)=11x-6$

You need to divide them in order to find $(\frac{f}{g})(x)$ asked in the exercise. Then:

$(\frac{f}{g})(x) =\frac{12x^2-4x-8}{11x-6}$

Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.

Let's find the value of "x" for which the denominator of the function would be zero:

1. You need to make the denominator equal to zero:

$11x-6=0$

2. Finally, you must solve for "x":

$11x=6\\\\x=\frac{6}{11}$

Therefore, as you can see, the answer is:

$(\frac{f}{g})(x) =\frac{12x^2-4x-8}{11x-6}$ , $x=\frac{6}{11}$

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3 years ago

Which theorem proves that the triangles are congruent?<br> A. AAS<br> B. SSS<br> C. SAS<br> D. ASA

boyakko [2]

Answer:

D. ASA

Step-by-step explanation:

ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.

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3 years ago

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The school production of 'Our Town' was a big success. For opening night, 315 tickets were sold. Students paid $1.50 each, w

Westkost [7]

Step-by-step explanation:

700.50√315=2.65

2.65×1.50=

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3 years ago