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Fynjy0 [20]
3 years ago
8

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

answer: B, -2 edge 2020

Step-by-step explanation:

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Find x for,<br> sin⁻¹ 4x + sin⁻¹ 3x = -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="\
Novay_Z [31]
<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}

So we can rewrite this as:

f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}

Using graphing calculator, we get that this value occurs at:

\boxed{x=-0.2}

3 0
3 years ago
What is the following equation formed when completing the square on Y^2-12y=-27
Salsk061 [2.6K]

Answer:y^1=3 ,y^2=9 if im wrong sorry im wrong but hope you get an a




7 0
3 years ago
Read 2 more answers
Help! is due today please
MakcuM [25]

Answer:

Option 2

Step-by-step explanation:

Minimum value is going to be in the y part of our coordinate, so we can just look there. I went ahead and used a graphing calculator to make things easy.

Starting off with option 2, we can see the minimum is -10. And in option 4 we can see the smallest y value is -6.

Using a graphing calculator (I used desmos), we can graph these other functions and figure out their minimums.

Option 1's y minimum is -7, and Option 3's y minimum is -2.25.

Option 1: -7

Option 2: -10

Option 3: -2.25

Option 4: -6

The questions asks for the <em>smallest</em> minimum value, which in this case is option 2.

7 0
3 years ago
Does anyone know how to solve this?
masya89 [10]

Answer:

b = -125/9

Step-by-step explanation:

1 + log5 ( -9b) = 4

Subtract 1 from each side

1 -1+ log5 ( -9b) = 4-1

log5 ( -9b) = 3

Raise each side to the base 5

5^  log5 ( -9b) = 5^3

This will cancel the log5

-9b = 125

Divide each side by 9

-9b/-9 = 125/-9

b = -125/9

3 0
3 years ago
What is the best way to study and get good grades
sp2606 [1]

Answer: The best way to study is by getting flashcards or something to help you review stuff and the best way to get good grades is by studying, doing your homework, doing your classwork, extra credit any work can help you get good grades AND STUDY!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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