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AnnyKZ [126]
3 years ago
12

Need help with this please. Given the following functions: f(u)=tan(u) and g(x)=x^9. Find:

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0
You have
.. f'(u) = sec(u)^2
Putting in u = g(x) = x^9, this becomes
.. f'(g(x)) = sec(x^9)^2


You know
(f(g(x))' = f'(g(x))*g'(x) . . . . . chain rule
From previous results, this is
.. sec(x^9)^2*9x^8
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How to do this problem​
Mumz [18]

Answer:

y = 3/2x -14

Step-by-step explanation:

do the inverse of -2/3 what is 3/2

and now sole the equation of y+8 = 3/2(x-4)

distribute 3/2 ---> y+8 = 3/2x - 8

subtract 8 from both sided getting you y=3/2x-14

7 0
3 years ago
Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)
kifflom [539]

Answer:

\displaystyle y=\frac{2}{3}(x+5)+2

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

The given line can be expressed as:

\displaystyle y=-\frac{3}{2}x+4

We can see the slope of this line is m1=-3/2.

The slopes of two perpendicular lines, say m1 and m2, meet the condition:

m_1.m_2=-1

Solving for m2:

\displaystyle m_2=-\frac{1}{m_1}

\displaystyle m_2=-\frac{1}{-\frac{3}{2}}

\displaystyle m_2=\frac{2}{3}

Now we know the slope of the new line, we use the slope-point form of the line:

y=m(x-h)+k

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}

6 0
3 years ago
Which could be used to find the number x.
Kazeer [188]

Answer:

c.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the y and x-intercept for <br> -x+3y+3
Darya [45]
-x+3y+3=0 <-- This puts the expression into an equation to make it solvable.
3y+3=x  <-- Use Addition Property of Exponents to move the (x) to the right
3y=x-3 <-- Use Subtraction Property of Exponents to move the (3) to the right
y=\frac{1}{3}-1 <-- Use Division Property of Exponents to remove the 3 from y
y=\frac{1}{3}-1 < This is the equation for the y-intercept

-x+3y+3=0 <-- Same as above, makes it so the expression is an equation to solve
-x+3=-3y <-- Use Subtraction Property of Exponents to move the 3y to the right
-x=-3y-3 <-- Use Subtraction Property of Exponents to move the 3 to the right
x=3y+3 <--Use Divison Property of Exponents to remove the -1 from x
x=3y+3 <-- This is the equation for the x-intercept

Hope this helped!


6 0
3 years ago
Read 2 more answers
Gloria has a lunch account in the school cafeteria. The balance, f(x), in her account can be represented by the function f(x) =
Snezhnost [94]
F(x) = -1.50x + 40.....basically, this is saying that Gloria has  40 bucks in her lunch account and each meal costs her 1.50.

By changing the -1.50 to -2.75 means she is paying more for her meals...the cost of a meal went up from 1.50 to 2.75.
7 0
3 years ago
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