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1 year ago

Plz help. what is the simplified expression for

Mathematics

1 answer:

vlada-n [284]1 year ago

5 0

Answer:

3²

Step-by-step explanation:

3³x3³=3^6

3^6÷3^4=3²

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Divide.<br><br> −2 4/7<br><br> Enter your answer as a mixed number, in simplified form, in the box.

Katarina [22]

Answer:
-3 $\frac{3}{7}$

Explanation:
$\frac{-24}{7}$ = -3 $\frac{3}{7}$
So first make the improper fraction into a mixed number by taking out all the whole numbers from the numerator (3) and making sure the proper sign is in front of the answer (- 3) your remainder is the original numerator minus the product of the answer times the denominator: 24 - (3 • 7) = 24 - 21 = 3. Rewrite the mixed number.

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2 years ago

How many solutions does a independent system of equations have?

Degger [83]

Answer:

one solution

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

Step-by-step explanation:

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2 years ago

Find the sum of (x + 5) and (2x + 3)

weeeeeb [17]

Answer:

3x+8

Step-by-step explanation:

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2 years ago

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For the equation 3(2x − 5) = 6x + k, which value of k will create an equation with infinitely many solutions?

lana [24]

Answer: K = -14

Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable

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2 years ago

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Discuss the continuity of the function on the closed interval.Function Intervalf(x) = 9 − x, x ≤ 09 + 12x, x > 0 [−4, 5]The f

quester [9]

Answer:

It is continuous since $\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)$

Step-by-step explanation:

We are given that the function is defined as follows $f(x) = 9-x, x\leq 0$ and $f(x) = 9+12x, x>0$ and we want to check the continuity in the interval [-4,5]. Note that this a piecewise function whose only critical point (that might be a candidate of a discontinuity) x=0 since at this point is where the function "changes" of definition. Note that 9-x and 9+12x are polynomials that are continous over all $\mathbb{R}$ . So F is continous in the intervals [-4,0) and (0,5]. To check if f(x) is continuous at 0, we must check that

$\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)$ (this is the definition of continuity at x=0)

Note that if x=0, then f(x) = 9-x. So, f(0)=9. On the same time, note that

$\lim_{x\to 0^{-}} f(x) = \lim_{x\to 0^{-}} 9-x = 9$ . This result is because the function 9-x is continous at x=0, so the left-hand limit is equal to the value of the function at 0.

Note that when x>0, we have that f(x) = 9+12x. In this case, we have that

$\lim_{x\to 0^{+}} f(x) = \lim_{x\to 0^{+}} 9+12x = 9$ . As before, this result is because the function 9+12x is continous at x=0, so the right-hand limit is equal to the value of the function at 0.

Thus, $\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)=9$ , so by definition, f is continuous at x=0, hence continuous over the interval [-4,5].

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2 years ago

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Plz help. what is the simplified expression for ​

Plz help. what is the simplified expression for