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alexandr1967 [171]
2 years ago
9

Which represents the compound inequality x < -2 or x ≥ 3 using interval notation?

Mathematics
1 answer:
Elden [556K]2 years ago
5 0
We are given the inequality x < -2 or x ≥ 3 in which the problem asks to determine the domain of the inequality. In this case, this means numbers less than -2 or numbers equal to 3 and greater than three. The relation that illustrates the previous statement is B. x e(-∞,-2) n[3,∞) 
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Solve the following logarithmic equations.<br> log2(49x^2) = 4
Mariana [72]

Answer:

x_{1} = \frac{4}{7} \\x_{2} = \frac{-4}{7} \\

Step-by-step explanation:

To solve this equation, one must apply the following logarithmic property:

if

log_{a}(b) = c\\

then

b= a^{c}

Applying it to the problem at hand:

2^{4} = 49x^{2} \\x^{2} = \frac{16}{49} \\x_{1} = \frac{4}{7} \\x_{2} = \frac{-4}{7} \\

The solutions to the problem are 4/7 and -4/7.

*Note that this solution was pretty straight forward because log2(16) = 4 is a known value, otherwise, a change of base to a base ten log would be required.

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2 years ago
Jeff Brown has collected sales data for his cupcake stand. Calculate the weighted moving average forecast for period 13 with wei
valentinak56 [21]

Answer:

Step-by-step explanation:

To calculate the weighted moving average for period 13 with weights 0.4 and 0.3.

P13 = (30.7x 0.4) + (42.0x 0.3)

P13 = 12.28 + 12.60

P13 = 24.88

6 0
2 years ago
Find the 12th term of the geometric sequence 2, -8,32, ...
Stells [14]

Answer:

-8388607

Step-by-step explanation:

a = 2

r = -8/2 = -4

12th term = (2)×(-4)¹¹

= -8388608

7 0
2 years ago
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Scott wants to buy fencing to place around a circular rock garden. The diameter of the circle is 16 feet. Using 3.14 for π, Calc
denpristay [2]

Answer:

200.96 square feet

Step-by-step explanation:

The amount of fencing Scott will need to buy can be gotten by calculating the area of the circular rock garden .

Area of a circle is given by

Pi r^2

Where

r = radius

Given diameter of 16 feet

r = diameter/2

= 16/2

= 8 feet

Pi = 3.14

Therefore,

Area = 3.14 x 8^2

= 3.14 x 8 x 8

= 200.96 square feet

The amount of fencing Scott will need to buy is 200.96square feet

5 0
2 years ago
Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?
Reptile [31]

Answer: parabola

Step-by-step explanation:

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2 years ago
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