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Nana76 [90]
3 years ago
7

The solution set x ≤ 2 or x ≥ 4 is consistent with an equation of the form

Mathematics
2 answers:
pshichka [43]3 years ago
4 0

Answer:

B. |ax + b| ≥ c, where c is greater than zero.

Step-by-step explanation:

Given two inequalities x\le 2 and x\ge 4.

First, make the number in right parts of both inequalities the same by absolute value. You can reach this by subtracting 3:

x\le 2\\ \\x-3\le 2-3\\ \\x-3\le -1

and

x\ge 4\\ \\x-3\ge 4-3\\ \\x-3\ge 1

The two inequalities x-3\le -1 and x-3\ge 1 are equivalent to the ineguality

|x-3|\ge 1

Thus, option B is correct option.

Bingel [31]3 years ago
3 0

Answer:

B

Step-by-step explanation:

on ed2020

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Find the volume of the cylinder shown. Use 3.14 for pi. Round your answer to the nearest hundredth.
finlep [7]

Answer:

1847.26 yards cubed

Step-by-step explanation:

V=πr^2h

π*49*12= 1847.26

Have a good day :)

7 0
3 years ago
What is the slope intercept from of the equation of the line that passes through (7, -5) and (3, -9)
never [62]

Answer:

B. y = x - 12

Step-by-step explanation:

First, find the <em>rate of change</em> [<em>slope</em>]:

\frac{-y_1 + y_2}{-x_1 + x_2} = m

\frac{5 - 9}{-7 + 3} = \frac{-4}{-4} = 1

Then use the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em> because you get it done faster that way. It does not matter which ordered pair you choose:

−9 = 3 + b

−12 = b

y = x - 12

________________________________________________________________________________________________

−5 = 7 + b

−12 = b

y = x - 12

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

4 0
3 years ago
Which inequality is equivalent to -x &lt; 8?
Ilia_Sergeevich [38]

Explanation: \\  - x < 8 \\   - x \times ( - 1) > 8 \times ( - 1) \\ x > 8 \\ Therefore \: the \: answer \: is \:  B

8 0
3 years ago
Please, someone help!
katrin [286]

Answer: 1:10,000

Step-by-step explanation:

given data:

distance of the nearest star system = 100,000,000

distance to size ration of the sun earth system = 10,000

therefore;

100,000,000 / 10,000

= 10,000

The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about 1:10,000 times that of the Sun-Earth system.

5 0
3 years ago
aflati masurile a doua unghiuri complementare stiind ca masura unuia dintre ele este cu 18° mai mica decat triplul masurii celui
Ahat [919]

Answer:

The angle is "27 and 63".

Step-by-step explanation:

Let A and B are two angles, in which  A is " \frac{1}{2} " complementary angles  and B be is another complementary angle.

Condition of complementary angle :

A+B =90 ......(i)

Solution:

\ A = \ 3B - 18 \\\\ \ put \ the \ value \ of \ A \ in \ equation.....(i) \\\\  \ Equation:  \\ \\\Rightarrow  \ A\ +\ B \ =\ 90 \\\\\Rightarrow \ 3B\ -\  18 \ + \ B \ = \ 90 \\\\\Rightarrow \ 4B \ = \ 90 +18 \\\\\Rightarrow \ 4B = 108 \\\\ \Rightarrow  B = \frac{108}{4} \\\\ \Rightarrow   B \ = \ 27\\

\ put \ the \ value \ of \ B \ in \ equation (i).\\\\ \ Equation: \\\\\Rightarrow A+B=90\\\\\Rightarrow A+27=90\\\\\Rightarrow A=90-27\\\\\Rightarrow A= 63

7 0
3 years ago
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