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Morgarella [4.7K]
3 years ago
14

2x+3 less than or equal to 5

Mathematics
2 answers:
rjkz [21]3 years ago
6 0
2x+3 \leq 5 \\  \\ (2x+3)-3 \leq (5)-3 \\  \\ 2x \leq 2 \\  \\   \frac{2x}{2}  \leq  \frac{2}{2}  \\  \\ x \leq 1 \\  \\x=( -\infty} ,1]
ycow [4]3 years ago
3 0
2x + 3 ≤ 5
<u>      -3   -3</u>
      2x ≤ 2
      <u>2x</u> ≤ <u>2</u>
       2     2
       x =  1
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I need help on solving these types of geometry problems! Teacher said the answer is 7 but I have to show work. Thank you!
Nikolay [14]

The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.

This means

82^\circ=m\angle 2

\implies82=10x+12

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4 0
3 years ago
Find the area between the graph of the function and the x-axis over the given interval, if possible.
vodomira [7]

Answer:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

Step-by-step explanation:

In order to calculate the area between the function and the x axis we need to solve the following integral:

A = \int_{-\infty}^1 \frac{5}{(x-2)^2}

For this case we can use the following substitution u = x-2 and we have dx = du

A = \int_{a}^b \frac{5}{u^2} du = 5\int_{a}^b u^{-2}du

And if we solve the integral we got:

A= -\frac{5}{u} \Big|_a^b

And we can rewrite the expression again in terms of x and we got:

A = -\frac{5}{x-2} \Big|_{-\infty}^1

And we can solve this using the fundamental theorem of calculus like this:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

7 0
3 years ago
The bowl has a diameter of 10 inches. What is its radius?​
Licemer1 [7]
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7 0
3 years ago
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ELEN [110]

Answer: both the left and right sides go to +∞

<u>Step-by-step explanation:</u>

End behavior can be determined by two things:

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<u>Sign of leading coefficient</u>:

positive: right side goes to +∞

negative: right side goes to -∞

⇒ Leading coefficient of this function is 3 so the right side goes to +∞

<u>Degree (exponent of leading coefficient)</u>:

even: both the left and right sides point in the SAME direction

odd: the left and right sides point in OPPOSITE directions

⇒ Degree of this function is 4 so the left side will point in the same direction as the right side.

8 0
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alexgriva [62]
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