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Juli2301 [7.4K]
2 years ago
6

Solve for x

Mathematics
1 answer:
Mademuasel [1]2 years ago
4 0

Answer:

x = 9

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)}

Given

11^{x} = 11^{4} × 11^{5} = 11^{(4+5)} = 11^{9}

Since the bases on both sides are common, then equate the exponents

x = 9

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Write two different rational functions whose graphs have the same end behaviour as the graph of y=3x^2
baherus [9]

Answer:

               y=x^2+5x+20\\ \\ y=8x^2+35

Explanation:

The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.

Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.

The limits of the quadratic function of general form y=ax^2+bx+c as x approaches negative infinity or infinity, when a  is positive, are infinity.

That is because as the absolute value of x gets bigger y becomes bigger too.

In mathematical symbols, that is:

\lim_{x \to -\infty}3x^2=\infty\\ \\ \lim_{x \to \infty}3x^2=\infty

Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².

Two examples are:

         y=x^2+5x+20\\ \\ y=8x^2+35

5 0
3 years ago
There are 84 boys in a freshman class of 146 students. Find the ratio of boys to girls.
fredd [130]
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3 years ago
What is the greatest common factor of 3x4, 15x3, and 21x??
luda_lava [24]

Answer:

The GCF of 3x^4, 15x^3 and 21x is 3x^2

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