A function f (x) and g (x) then:
(f + g) (x) = x² - x + 6
Further explanation
Like the number operations we do in real numbers, operations such as addition, installation, division or multiplication can also be done on two functions.
Suppose a function f (x) and g (x) then:
(f + g) (x) = f (x) + g (x)
(f + g) (x) is a new function of the sum of f (x) and g (x)
Likewise with other function operations:
(f-g) (x) = f (x) - g (x)
(fg) (x) = f (x) x g (x)
(f / g) (x) = f (x) / g (x)
In addition to the above operations we can combine two functions using the function composition with the symbol o
(fog) (x) = f ((g (x))
Known on the question
f (x) = x² + 1
g (x) = 5 x
Summing the two functions f (x) and g (x):
(f + g) (x) = f (x) + g (x)
(f + g) (x) = x² + 1 + 5 - x
(f + g) (x) = x² - x + 6
Mercury metal is poured into a graduated cylinder that holds exactly 22 ml. The mercury used to fill the cylinder weighs 308 g. From this information, calculate the density of mercury.
The density of mercury will be equal to 14 g/cm³.
It is given that the graduated cylinder holds exactly 22 ml and mercury used to fill the cylinder weighs 308 g.
We have to find out the density of the mercury.
What is the formula for density ?
The formula for density will be Density (D) = [tex]\frac{M}{V}[/tex] , where M is mass / weight of the object and V is the volume of the object.
As per the question ;
Graduated cylinder holds 22ml.
∵ 1 ml = 1 cc or cm³
So ,
The volume of graduated cylinder = 22 cm³
The weight of mercury = 308g
We know that ;
Density of mercury = Weight / Volume
⇒ Density of mercury = [tex]\frac{308}{22}[/tex]
⇒ Density of mercury = 14 g/cm³
Thus , the density of mercury will be equal to 14 g/cm³.
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Help 85 points !!!! ASAP
f(−2) = _______
X, Y graph. Plotted points negative 3, 0; negative 2, 2; 0, 1; and 1, negative 2.
Answer
2
Step-by-step explanation:
If (-2, 2) is a plotted point for the function f(x), it means f(-2) = 2.
3. A family of 6 is visiting a mall. The mall has 10 exit doors. Assume random selection. Find the probability that a. No family member chooses the same exit door. b. Every family member chooses the same exit door
Answer:
(A) 0.6
(B) 0.1
Step-by-step explanation:
(A) Find the probability that NO family member chooses the same exit door.
Now, if no family member chooses the same exit door with another, it means that each person chooses a separate door. If each person chooses a separate door, then 6 out of 10 doors are chosen!
This translates to 6/10 which is = 0.6
So the probability that each family member has a door to him or herself is 0.6
(B) Find the probability that EVERY family member chooses the same exit door.
In this case, the number of persons (family members) does not really count. The focal point of the question is that everybody chooses the same door (and will use the same door). This means that only 1 door out of 10, will be chosen AND the probability that only one door out of 10 will be chosen is
1/10 = 0.1
Evaluate for a = -8, b = 7, c = -4, and d = 2.
a/b x b + ab
a divided by b times b plus a and b
All the students in the sixth grade either have pets or do not have pets at home.88%of the students have pets.6 students do not have pets.How many students are in the sixth grade?
Answer:
There are 50 students in the sixth grade.
Step-by-step explanation:
Given that 88% of students have pets which means that only 12% do not have pets. It says that only 6 students do not have pets so we can assume that 12% is equals to 6 students. We have to form an expression for the number of students.
Lets make x = total number of students,
[tex] \frac{12}{100} \times x = 6[/tex]
[tex]x = 6 \div \frac{12}{100} [/tex]
[tex]x = 6 \times \frac{100}{12} [/tex]
[tex]x = 50 \: students[/tex]
help asap it important
Which of the following is a true statement? right answer gets brainliest
A. The absolute value of -13 is not equal to 13.
B. The absolute value of 13 is equal to the opposite of -13.
C. The absolute value of 13 is equal to the opposite of 13.
D. The absolute value of -13 is equal to the opposite of 13.
PLEASE!
William is studying the hair colors of all students attending his college. He collects data from the 25 students in his statistics class. Which type of sampling is used?
a) Convenience sampling
b) Stratified sampling
c) Cluster sampling
d) Systematic sampling
Answer:
Convenience sampling
Step-by-step explanation:
sampling plans are defined as ways, strategies used by researchers to select participants for their study. Kinds of sampling includes simple, systematic, stratified, cluster, quota, convenience and judgment(All sampling).
Convenience sampling is a type of sampling method that entails taking or chooses the individuals easiest to researchers reach. It is simply known for its ease of data collection and no random selection. sample is simply a part of a known population selected to act in place or representt the entire population.
Sarah bought 3 purses which cost $12.30, $34.23 and $23.19. How much did she spend?
Answer:
$69.72
Step-by-step explanation:
If n(A)=26, n(B)=17, and n(A∩B)=∅, then what is n(A∪B)?
Answer:
43
Step-by-step explanation:
its ans may be 43 as A intersection B is 0
57.6 divided by 9.6 equals?
Answer: 6
Step-by-step explanation: 57.6/9.6=6
Answer:
it equals 6
Step-by-step explanation:
Put the following equation of a line into slope-intercept form,
simplifying all fractions.
2y – x = -8
Which power has a value greater than 240 and less than 245?
Answer:
242 or 243 or 241 or 244 or any decimals
Achange in temperature of 6°C is equivalent to a
change in temperature of
°F
Celsius
1
2
6
Fahrenheit
18
3.8
2
Math
the answer is 10.8.
A Tortoise walks 12 inches per minute. Convert to feet per hour.
Answer:
60 feet per hour
Step-by-step explanation:
12 ÷ 12 = 1
1 * 60 = 60
A mí me (gustar) mucho el chocolate.
Fill in the blank with the correct
Answer:
I believe Gusta is the correct answer.
Step-by-step explanation:
Answer: it’s Gustaba
Step-by-step explanation: I took the test
What is the length of segment DF?
Answer:
I believe it's 68.
Question 2 (1 point)
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7
gallons of gas?
Answer:
63/3 m/7
Step-by-step explanation:
i dont have time to exlplain lol just trust
Help me out, please?
Because the population size may change over time, you also decide to look at rates,which for drug overdose are generally expressed as deaths/100,000 residents.The statepopulation for 2015 was estimated at 11,620,000.Calculate the rate of drug overdosedeaths
This question is incomplete, the complete question is;
As the junior public health epidemiologist in a large state in the Midwest Rust Belt, you have been asked by your supervisor to assist her in updating the statistics on opioid deaths. She is also asking for your help in writing a brief report describing the current situation for the annual report on drug abuse.
- In 2015, there were 3050 drug-related deaths, of which 2950 involved opioids, What percent of the deaths were due to opioids? Express your answer in the following format: XX.XX% (e.g., 54.81%).
- Because the population size may change over time, you also decide to look at rates, which for drug overdose are generally expressed as deaths/100,000 residents. The state population for 2015 was estimated at 11,620,000.Calculate the rate of drug overdose deaths.
Answer:
the rate of drug overdosedeaths is 27 per 100,000 residents
Step-by-step explanation:
Given that;
3050 drug-related deaths in 2015,
Deaths due to opioids in 2015 is 2950
percentage = (2950 / 3050) × 100 = 96.72%
therefore
percentage of the deaths that were due to opioids in 2015 is 96.72%
-
we know that
State population for 2015 = 11,620,000
Number of drug-related deaths in 2015 = 3050
Death rate is number of deaths recorded divided by the number of population, and then multiplied by 100,000 as in the question
so
Rate of drug overdose = (3050 / 11620000) × 100,000
=26.25 ≈ 27 per 100,000 residents { since of person can't be decimal)
therefore
the rate of drug overdosedeaths is 27 per 100,000 residents
Need HELP URGENT please
Answer: D
Step-by-step explanation: 3 is smaller than 4 and 4 is smaller than 6. And 3 is smaller than 5 and 5 is smaller 6
Shawn makes bracelets using stone beads. He buys beads for $0.30 each. The wire used to make each bracelet costs $0.10.
a) Write an equation to find the cost (c) to make a bracelet with b beads.
b) one of shawn's popular bracelets, the Charmer, includes 15 stone beads. Another bracelet, the sparkler, uses 20 beads. how much does it cost to make each bracelet?
I have no idea how to do this!
The equation to find the cost (c) is C= 0.30b + 0.10.
The cost to make each bracelet is $10.70.
We have,
Shawn buy beads for $0.30 each.
The wire used to make each bracelet costs $0.10.
If C is the cost then the equation for the cost is
C = 0.30b + 0.10
where b is number of beads.
Now, Number of beads = 15 then cost is
C = 0.30(15) + 0.10 = $4.6
and, if number of beads is 20 then the cost is
C = 0.30(20)+ 0.10 = 6.1
Then, the total cost is = 4.6 + 6.1 = $10.7
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Prior to conducting your study, you want your sample to be _____ to the population so that your sample represents the population
Similar
Opposed
Different
Incongruent
A.
(0, -1)
B.
(1, 0)
C.
(0, 0)
D.
(1, -1)
what is the question you can't just give the options bruh
Can somwon help me wit this queston plaese
Answer:
11
Step-by-step explanation:
if you have 10 apples then get 1 more you would have 11 :)
11
Hope this helps
James King
Are the lines x - 2y = 4 and y= 2x - 2 parallel, perpendicular, or neither?
O A.
parallel
OB.
perpendicular
O C.
neither
Please answer fast
Answer:
I'm pretty sure it's neither
3) Write an equation in point-slope form for the line. Slope is -2 and (1, 1) in on the line.
Answer:
[tex]y - 1 = -2(x - 1)[/tex]
Step-by-step explanation:
point slop form is
[tex](y - y1) = m (x - x1)\\x1 = 1\\y1 = 1\\m = -2\\\\Thus,\\(y - 1) = -2 (x - 1)[/tex]
Identify the slope, x-intercept and y-intercept of each line
Determine whether the example is a descriptive or inferential statistic. Give an explanation for your answer.
On April 29, 2020, 42.3% of songs on the Spotify "New Release 2020" playlist had explicit lyrics.
Answer:
The lyrics are explicit because it can be more on the fantasy and metaphoric side. The lyrics barely have real life answers. So, that is why it is explicit.
Step-by-step explanation:
PLS mark me brainliest
What is the difference between m(x)=0 and m(0)?
Answer:
Line vs pointStep-by-step explanation:
The difference between m(x) = 0 and m(0) is
m(x) = 0 is the line overlapping with x-axis as for any value of x the value of m equals 0m(0)= 0 is the point on the same line overlapping with origin (0, 0)So the difference is line vs point on the same line