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mario62 [17]
4 years ago
13

Which expression is equivalent to x+y?

Mathematics
1 answer:
slega [8]4 years ago
8 0
Y+x looollllLl okokok
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The number line shows the graph of inequality.​
Sophie [7]

Answer:

The first one is correct.

Step-by-step explanation:

-3.5 is inside of the shaded area of the line.

I hope this helps.

4 0
3 years ago
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What is 0.0003840 expressed in scientific notation
neonofarm [45]
You can write the fraction 0.0003840 a number of ways.
  0.0003840 = 0.003840/10 = 0.03840/100 = 0.3840/1000 = 3.840/10000

The one we're interested in is the last one, which has one non-zero digit to the left of the decimal point. The power of 10 in the denominator is the 4th power (the number of zeros is 4). 10^4 in the denominator is equivalent to multiplying by 10^(-4) in the numerator.

Expressed in scientific notation,
0.0003840=3.840 \cdot 10^{-4}
5 0
3 years ago
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What is the exponent in the expression?
vlabodo [156]

Answer:

The exponent is 5 because a exponent is what the number times itself like 3^2 is 9.

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3 years ago
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Choose the inequality that could be used to solve the following problem.
Pie
Answer:

3x = - 6

Step-by-step explanation:

Three times a number is at most negative six

3 times a number would be 3 times x, is means the equal sign (=)

3x = - 6

3 0
3 years ago
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Consider the following function. f(x) = 2x3 + 9x2 − 24x (a) Find the critical numbers of f. (Enter your answers as a comma-separ
viktelen [127]

Answer:

(a) The critical number of f(x) are x=-4, 1

(b)

  • Increasing for (-\infty, -4)
  • Decreasing for (-4, 1)
  • Increasing for  (1, \infty)

(c)

  • relative maximum (-4, 112)
  • relative minimum (1, -13)

Step-by-step explanation:

(a) The critical numbers of a function are given by finding the roots of the first derivative of the function or the values where the first derivative does not exist. Since the function is a polynomial, its domain and the domain of its derivatives is (-\infty, \infty). Thus:

\frac{df(x)}{dx}  = \frac{d(2x^3+9x^2-24x)}{dx} =6 x^2+18x -24\\6 x^2+18x -24=0\\\boxed{x=-4, x=1}

(b)

  • A function f(x) defined on an interval is monotone increasing on (a, b) if for every x_1, x_2 \in (a, b): x_1 implies f(x_1)
  • A function f(x) defined on an interval is monotone decreasing on (a, b) if for every x_1, x_2 \in (a, b): x_1 implies f(x_1)>f(x_2)

Combining  the domain (-\infty, \infty) with the critical numbers we have the intervals (-\infty, -4), (-4, 1) and (1, \infty). Note that any of the points are included, in the case of the infinity it is by definition and the critical number are never included because the function monotony is not defined in the critical points, i.e. it is not monotone increasing or decreasing. Now, let's check for the monotony in each interval, for this, we check for the sign of the first derivative in each interval. Evaluating in each interval the first derivative (one point is enough), we obtain the monotony of the function to be:

  • Increasing for (-\infty, -4)
  • Decreasing for (-4, 1)
  • Increasing for  (1, \infty)

(c) From the values obtained in (a) so the relative extremum are the points (-4, 112) and (1, -13). The y-values are found by evaluating the critical numbers in the original function. Since the first derivative decreases after passing through  x=-4 and increases after passing through the point x=1 we have:

  • relative maximum (-4, 112)
  • relative minimum (1, -13)

3 0
4 years ago
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