1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anvisha [2.4K]
3 years ago
9

Evaluate the function f(x) at the given numbers (correct to six decimal places).

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer:

The values of given function are shown in the below table.

Step-by-step explanation:

The given function is

f(x)=\frac{x^2-5x}{x^2-x-20}

Simplify the given function.

f(x)=\frac{x(x-5)}{x^2-5x+4x-20}

f(x)=\frac{x(x-5)}{x(x-5)+4(x-5)}

f(x)=\frac{x(x-5)}{(x+4)(x-5)}

Cancel out the common factor.

f(x)=\frac{x}{x+4}

Substitute x=5.5 in the above equation.

f(5.5)=\frac{5.5}{5.5+4}

f(5.5)=\frac{5.5}{9.5}

f(5.5)=0.57894736842

f(5.5)\approx 0.578947

Similarly find the value for all values of x.

The values of given function are shown in the below table.

You might be interested in
What is the sum of the first five terms of the geometric sequence in which a1=10 and r=1/2?
Tomtit [17]
(10(1-(1/2)^5)/1-(1/2) = 

20(1-1/32)
=155/8
5 0
3 years ago
Read 2 more answers
a bank receives a deposit for $30000. If the bank has a 10 percent reserve requirement approximately how much money could be ini
Elodia [21]
It might be 30000 maybe
5 0
3 years ago
_______ the problem by formulating assumptions and recognise certain variables and their relations
patriot [66]

Answer:

Research Hypothesis solves the problem by .....

Step-by-step explanation:

Research Hypothesis is a set of assumed statements, consisting certain variables & their relationships

The variables whose relationship are to be checked by hypothesis testing, are independent & dependent variables. The causal variable(s) are independent variables & the effected variable is the dependent variable.

  • Null Hypothesis : It is the hypothesis assuming no statistically significant relationship between independent & dependent variables
  • Alternate Hypothesis : It is the hypothesis assuming statistically significant relationship between independent & dependent variable

Example : To check the research question, of relationship between research variables, by formulating hypothesis assumed statement

Y = b0 + b1X ; where

Y = dependent variable, X = independent variable, b0 = autonomous, b1 = X intercept on Y  

  • H0 : b1 = 0 {No significant relationship between X & Y}
  • H1 : b1 ≠ 0 {Significant relationship between X & Y}

This way : Research hypothesis solves the problem by - formulating hypothesis assumptions, which recognise the variables & their relations. At last, acceptance of null  or alternate hypothesis gives the final research conclusion & interpretation

7 0
3 years ago
15. Davis wants to pour 5 gallons of punch into
Sonja [21]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Davis wants to pour 5 gallons of punch into ½ gallon jugs How many jugs will he need?

A. 2½

B. 5½

C. 10

D. 15

Answer:

Number of jugs = 10

Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

Step-by-step explanation:

David has 5 gallons of punch that he wants to pour into jugs.

The capacity of 1 jug is ½ gallon.

The required number of jugs may be found as

Number of jugs = gallons of punch/capacity of jug

For the given case, we have

Gallons of punch = 5

capacity of jug (in gallons) = ½ = 0.5

So, the required number of jugs is,

Number of jugs = 5/½

Number of jugs = 5/0.5

Number of jugs = 10

Therefore, Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

7 0
3 years ago
If a coin is flipped 20 times and a head comes up 13 times, What is the relative frequency of a head coming up?
ira [324]

65%

because 20 / 13 = 0.65

0.65 • 100 = 65%

7 0
3 years ago
Other questions:
  • What percent of 50 is 10
    14·2 answers
  • What is the location of the point on the number line that is 3/5 of the way from A=2 and B= 17
    5·2 answers
  • Caroline is making 8 badges of biscuits each batch uses 5/6 cup of flour how many cups of flour does she need
    9·1 answer
  • Find the value of x.
    7·2 answers
  • How do I solve this?
    15·1 answer
  • What is the circumference of the circle below? Use the formula C = 2tr.
    14·2 answers
  • The price of a video game was reduced from $60 to ​​​​​​​$45. By what percentage was the price of the video game reduced?
    13·2 answers
  • What angles are they ?
    14·2 answers
  • Pls help stuck on big ideas math
    11·1 answer
  • Use the graph of f to describe the transformation that results in the graph of g.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!