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ad-work [718]
2 years ago
15

CAN SOMEONE PLS HELP ME WITH THIS? ITS SO URGENT (Pls show solution too)

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
4 0

Answer:

Step-by-step explanation:

t + u = 11 ----------- (1 )

10t + u = 10u + t - 9

10t + u - 10u - t = -9

10t - t + u - 10u = - 9

Combine like terms

9t - 9u = -9

Divide the entire equation by 9

\dfrac{9}{9}t-\dfrac{9}{9}u=\dfrac{-9}{9}

t - u = -1  --------------(2)

Add equation (1) & (2) and so, u will be eliminated and we can find the value of t

(1)       t + u = 11

(2)      <u>t  - u = -1</u>

         2t     = 10

               t = 10/2

t = 5

Plugin t = 5 in equation (1)

5 + u = 11

    u = 11 - 5

u = 6

The original number is 56

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Answer:

<h2>Sets of Ratios that are Proportion</h2>

3/11 and 17/6

<h3>12/7 and 36/21</h3>

60/55 and 7/25

7/6 and 52/48

<h3>4/10 and 8/20</h3>

<h3>Solution:</h3>

> 12/7 and 36/21

\frac{12}{7}  =  \frac{36}{21}  \\ 12(21) = 36(7) \\ 252 = 252

> 4/10 and 8/20

\frac{4}{10}  =  \frac{8}{20}  \\ 4(20)  = 8(10) \\ 80 = 80

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Given f(x) = (lnx)^3 find the line tangent to f at x = 3
kirill [66]
Explanation

We must the tangent line at x = 3 of the function:

f(x)=(\ln x)^3.

The tangent line is given by:

y=m*(x-h)+k.

Where:

• m is the slope of the tangent line of f(x) at x = h,

,

• k = f(h) is the value of the function at x = h.

In this case, we have h = 3.

1) First, we compute the derivative of f(x):

f^{\prime}(x)=\frac{d}{dx}((\ln x)^3)=3*(\ln x)^2*\frac{d}{dx}(\ln x)=3*(\ln x)^2*\frac{1}{x}=\frac{3(\ln x)^2}{x}.

2) By evaluating the result of f'(x) at x = h = 3, we get:

m=f^{\prime}(3)=\frac{3}{3}*(\ln3)^2=(\ln3)^2.

3) The value of k is:

k=f(3)=(\ln3)^3

4) Replacing the values of m, h and k in the general equation of the tangent line, we get:

y=(\ln3)^2*(x-3)+(\ln3)^3.

Plotting the function f(x) and the tangent line we verify that our result is correct:

Answer

The equation of the tangent line to f(x) and x = 3 is:

y=(\ln3)^2*(x-3)+(\ln3)^3

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1 year ago
Translate the following words to algebra symbols, using "n" as the variable. The product of six and a number is 24.
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