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Over [174]
3 years ago
10

-19=6k+9-4K solve for k

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
8 0

Answer:

-14

Step-by-step explanation:

-19=6k-4k+9

-19=2k+9

subtract 9 from both sides

-28=2k

-14=k

To check your answer plug 14 in for k

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Which expressions represent rational numbers? select all the apply. startroot 100 endroot startroot 100 endroot 13.5 startroot 8
zlopas [31]

The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.

<h3>What is a rational number?</h3>

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

1.  √100 × √100

→ √100 × √100

→ 10 × 10 = 100

This is a rational number.

2.  13.5 + √81

→ 13.5 + √81

→ 13.5 + 9 = 22.5

This is a rational number.

3.  √9 + √729

→ √9 + √729

→ 3 + 27 = 30

This is a rational number.

4.  √64+ √353

→ √64 + √353

→ 8 + √353

This is an irrational number.

5.  1/3 + √216

→ 1/3 + √216

→ 1/3 + √216

This is an irrational number.

6.  1/5 + 2.5

→ 1/5 + 2.5

→ 0.2 + 2.5 = 2.7

This is a rational number.

More about the rational number link is given below.

brainly.com/question/9466779

7 0
2 years ago
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

6 0
1 year ago
1 Shannon runs at a constant rate. She can run 3 miles in 26 minutes. What distance, Y in miles, can she run in 15 minutes, x?
Crazy boy [7]

Answer:

1,75 miles

Step-by-step explanation:

3 miles ______26 minutes

1 miles =>26 :3 =8,5 (8 minutes and 5 seconds)

15:8,5 =1,75 miles

7 0
2 years ago
Find the missing measure. Round to the nearest whole number (9mm, xmm, 4mm) find x
fredd [130]
The answer is 10mm, I answered this in a previous question.
6 0
3 years ago
I have a triangular shaped base. I am composed of 3 rectangular faces. I am a 3D figure. What am I?
Alisiya [41]

Answer:

<em>Triangular prism </em>

Step-by-step explanation:

4 0
2 years ago
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