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AnnyKZ [126]
3 years ago
12

How many solutions are there to this equation?

Mathematics
2 answers:
Lelechka [254]3 years ago
6 0
There are 0 solutions
victus00 [196]3 years ago
6 0

Answer:  the correct option is

(b) 0.

Step-by-step explanation:  We are given to find the number of solutions for the following linear equation :

9x-16=9x-23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the number of solutions of the given equation, we must try to solve the equation and find the value of x.

From equation (i), we have

9x-16=9x-23\\\\\Rightarrow 9x-9x=-23+16\\\\\Rightarrow 0=-7,

which can never be possible.

Thus, the given equation has NO solution.

Option (b) is CORRECT.

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∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

3 0
2 years ago
Find the length of BC.
Murrr4er [49]

Answer:

C, 53.68 units

Step-by-step explanation:

tan 54° = \frac{x}{39}

39 tan 54° = x

x= 53.6788949 (just plug it in a scientific or graphing calculator)

x≈53.68

4 0
2 years ago
10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH.<br> 1. Y = 2x + 3<br> 2. Y = 3/4x - 2
Alenkasestr [34]

Answer for problem 1: slope = 2, y intercept = 3

Answer for problem 2: slope = 3/4, y intercept = -2

Explanation:

Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).

4 0
3 years ago
Read 2 more answers
Write an= 8 + (n-1)(3) as a function
Citrus2011 [14]

Answer:

The answer to your question is 3n+5

5 0
3 years ago
Please look at picture attached! i will mark you brainlyest if right!
katrin2010 [14]
Amp is the number in front of sine so its 1/2 aka D :)
8 0
2 years ago
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