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frutty [35]
3 years ago
14

Can you help me?? please

Mathematics
1 answer:
fomenos3 years ago
4 0
4. domain is all real numbers
range is y less then or equal to 4
6. domain is all real numbers
range is all real numbers
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The point P(5, −4) lies on the curve y = 4/(4 − x).
dalvyx [7]

Answer:

4

Step-by-step explanation:

Slope refers to the steepness of the line.

Slope is equal to change in value of y divided by change in value of x.

The slope of the secant line is given by \frac{f(x)-f(a)}{x-a}.

Given points are P\left ( 5,-4 \right )\,,\,Q\left ( x,\frac{4}{4-x} \right )

So, slope of the secant line is \frac{\frac{4}{4-x}+4}{x-5}=\frac{4+4(4-x)}{(x-5)(4-x)}=\frac{20-4x}{(x-5)(4-x)}=\frac{-4(x-5)}{(x-5)(4-x)}=\frac{-4}{4-x}=\frac{4}{x-4}

(i) At x = 4.9,

\frac{4}{4.9-4}=\frac{4}{0.9}=4.444444

(ii) At x = 4.99,

\frac{4}{4.99-4}=\frac{4}{0.99}=4.040404

(iii) At x = 4.999,

\frac{4}{4.999-4}=\frac{4}{0.999}=4.004004

(iv) At x = 4.9999,

\frac{4}{4.9999-4}=\frac{4}{0.9999}=4.0004

(v) At x =5.1,

\frac{4}{5.1-4}=\frac{4}{1.1}=3.636364

(vi)

At x = 5.01,

\frac{4}{5.01-4}=\frac{4}{1.01}=3.960396

(vii) At x = 5.001,

\frac{4}{5.001-4}=\frac{4}{1.001}=3.996004

(viii) At x = 5.0001,

\frac{4}{5.0001-4}=\frac{4}{1.0001}=3.9996

(b)

Slope of the tangent line is 4.

5 0
3 years ago
A rectangle as the width of 9 units and length of 40 units. What is the length of the diagonal?
Kitty [74]

Answer:

the Diagonal is 41 units

Step-by-step explanation:

Since the sides of a rectangle, to be a rectangle, meet at 90° we use Pythagorean Theorem a² + b² = c²  

Width and Length are the legs and the diagonal is the hypotenuse

9² + 40² = c²

81  + 1600 =  c²

1681 = c²

√1681 = √c²

41 = c

3 0
3 years ago
Express 14100000 in scientific notaion
S_A_V [24]
<span>14100000 written in scientific notation would be 1.41 x 10^7  because you have to make the number be between 1 and 10, so you would put your decimal between the 1 and 4, then you would count the number of zeros in standard form, then you would solve and your answer would be 1.41 x 10^7</span>
8 0
3 years ago
Read 2 more answers
PLS HELP
Rzqust [24]
1+1=2!!

hope that helps
8 0
3 years ago
Read 2 more answers
You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introdu
mariarad [96]

Answer:

  • Calculus texts: 600
  • History texts: 0
  • Marketing texts: 0

Step-by-step explanation:

Each Calculus text returns $10/2 = $5 per unit of shelf space. For History and Marketing texts, the respective numbers are $4/1 = $4 per unit, and $8/4 = $2 per unit. Using 1200 units of shelf space for 600 Calculus texts returns ...

  $5/unit × 1200 units = $6000 . . . profit

Any other use of units of shelf space will reduce profit.

7 0
3 years ago
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