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eimsori [14]
3 years ago
15

What is the positive solution of |2x-6|=9?

Mathematics
1 answer:
Anarel [89]3 years ago
5 0

Answer:

x = 15/2

Step-by-step explanation:

Remove the absolute value brackets.

2x-6=9

Add 6 to both sides.

2x = 15

Divide both sides by 2

x = 15/2

The answer is a fraction because 15/2 can't become a whole number.

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What is the least common multiple (LCM) of 5 and 12?
geniusboy [140]

The least common multiple of 5 and 12 is 60.

4 0
3 years ago
Do numbers below 0 make sense outside of the context of temperature? If you think so, give some examples to show how they make s
koban [17]

Answer:

Yes, they make sense outside the context of temperature.

Step-by-step explanation:

If you are standing in a line, and mark your current position as 0 then if you take two steps ahead it can be counted as positive and if you take two steps back from your current position it can be counted as negative. The positive and negative can denote your forward and backward movement respectively.

If we denote the growth in companies revenue as positive and dip as negative then it would also make sense. A positive number would mean profit for the company while a negative sign would show loss.

3 0
3 years ago
X-4y=28 2x+y=2 Elimination
makvit [3.9K]

\left\{\begin{array}{ccc}x-4y=28\\2x+y=2&\text{multiply both sides by 4}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-4y=28\\8x+4y=8\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad9x=36\qquad\text{divide both sides by 9}\\.\qquad\boxed{x=4}\\\\\text{Put the value of x to the second equation:}\\\\2(4)+y=2\\8+y=2\qquad\text{subtract 8 from both sides}\\\boxed{y=-6}\\\\Answer:\ \boxed{x=4\ and\ y=-6\to(4,\ -6)}

3 0
3 years ago
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(p, q) = 8qe−p + 4pe−q, (0, 0) ma
Pachacha [2.7K]

Answer:

Step-by-step explanation:

Given \ f (p,q) = 8qe^{-p} + 4pe^{-q}  \  where \ P_o(0,0) \\ \text{thus the gradient of f is: }  \\ \\  \bigtriangledown f(p,q) = \Big(\dfrac{\partial f}{\partial p}, \dfrac{\partial f}{\partial q} \Big) \\ \\  \dfrac{\partial f}{\partial p} = -8qe^{-p} + 4pe^{-q} \\ \\ \dfrac{\partial f}{\partial p} = 8qe^{-p} - 4pe^{-q}  \\ \\  Then: \bigtriangledown f(p.q) = (-4qe^{-p}+ 8qe^{-q}, 4qe^{-p}- 8qe^{-q}) \\ \\ f(0,0) = (-4*(0)e^{-0}+ 8*(0)e^{-(0)}, 4*(0)e^{-(0)}- 8*(0)e^{-(0)})  \\ \\  = (0+8,4-0)  = (8.4)

\Big| \Big | \bigtriangledown f(0,0) = \sqrt{(8)^2+4^2}  \\ \\ = \sqrt{64+16} \\ \\ =  \sqrt{80}

\mathbf{the \ direction \ of \ maximum \ change  \ is }= \mathbf{\sqrt{80}}  \\ \\  \mathbf{direction }(8,4)

7 0
3 years ago
Which of these following equations solve for x in the two pictures
Roman55 [17]

Answer:

X-14 / 2 = 24

Step-by-step explanation:

X-14 / 2 = 24

X-14 / 2 = 24

7 0
4 years ago
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