Answer with explanation:
The given functions in x are
1. f(x)=4 x² + 9 x
2. h(x)= 2 x
3. g(x)=18 x
To check whether the function is increasing or not , there are two ways
1. The graph of function is sloping Upwards.
2. For, two real x number ,that is if , a ≥ b, then , f(a) ≥ f(b).
All the three given function in x, are increasing because ,for increasing , x , value of function increases.
For Integral numbers,
⇒Function 1
f(x)=4 x² + 9 x
f(1)=4×1²+9×1
=4 +9
=13
f(2)=4×2²+9×2
=4 × 4 +18
=16 +18
= 34
f(2) - f(1)=34 - 13
= 21
→→Function B
h(x)= 2 x
h'(x)=2
Rate of change of function is constant, which is equal to 2.
→→Function C
g(x)=18 x
g'(x)=18
Rate of change of function is constant, which is equal to 18.
≡⇒→Rate of change of function ,f(x) is maximum among three functions.That is, f(x)=4 x² + 9 x , has highest rate of increasing, for increasing value of, x.
What kind of vehicle do you prefer: two-door, four-door or minivan? What types of data will this statistical questions represent?
Answer:
Categorical
Step-by-step explanation:
Take a vote and write it down, take your data and see how the results are.
A jewelry store is selling a set of 4 pairs of gemstone earrings for $58, including tax. Neva and three of her friends want to buy the set so each could have a pair of earrings. Write and solve a multiplication equation to find how much each person should pay.
SOMEONE HELP ME ON HOW TO DO THIS???
i am a 2 digit number. I am the difference of two numbers whose sum is 36. The larger of these numbers is twice the smaller. What number am I?
Help me with this .
Figure STOP is reflected about the y-axis to obtain figure STO'P:
Which statement best describes the relationship between the two figures?
The measure of angle S is equal to the measure of angle P’.
The measure of angle P is equal to the measure of angle T’.
Figure STOP is congruent to figure S’T’O’P’.
Figure STOP is bigger than figure S’T’O’P’.
Figure stop is congruent due to the same shape and size
Which expression is equivalent to
1/2(2+3x−6)
Geometry Proof if you can explain to me the process as you do the problem thad be a plus
How many minutes pass from 4:21 to 4:59
Answer:
37 minutes
Step-by-step explanation:
Final answer:
To calculate the time elapsed from 4:21 to 4:59, perform a subtraction of the two times which results in a difference of 38 minutes.
Explanation:
To find out how many minutes have passed from 4:21 to 4:59, you have to perform a simple subtraction operation. Subtract the earlier time from the later time. In this case, it's 4:59 minus 4:21.
Step 1: Note the minutes in each time. We have 59 minutes at 4:59 and 21 minutes at 4:21.
Step 2: Subtract the earlier minute count from the later one. So, 59 minus 21 equals 38.
Therefore, from 4:21 to 4:59, 38 minutes have passed.
Need help on this please
reference angle of 400°?
You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6th year?
Answer:
The amount in the account in the beginning of the 6th year is $6375 .
Step-by-step explanation:
Formula
[tex]Simple\ interest = \frac{Principle\times Rate\ times Time}{100}[/tex]
As given
You invest $5000 in an account at 5.5% per year simple interest.
Principle = $ 5000
Rate = 5.5 %
Time = 5 years
(As calculate amount in the account for beginning of 6th year.)
Putting all the values in the formula
[tex]Simple\ interest = \frac{5000\times 5.5\times 5}{100}[/tex]
[tex]Simple\ interest = 50\times 5.5\times 5[/tex]
Simple interest = $ 1375
Amount = Principle + Simple interest
Putting values in the above formula
Amount = $5000 + $1375
Amount = $ 6375
Therefore the amount in the account in the beginning of the 6th year is $ 6375 .
How long is a kilometer in comparison to .5 mile?
How to solve 9x-2y=19
Jessie set up a lemonade stand for three days. On Saturday, she sold 10 2/3 gallons of lemonade. On Saturday, she sold 3 1/3 gallons more than she sold Saturday. On Monday, she sold 2 2/3 gallons Less than she sold on Saturday. How many gallons of lemonade did Jessie sell on Monday?
The number of gallons of lemonade did Jessie sell on Monday was 14/3.
Organizing the information given in the statement, we have that:
On Saturday, she sold 10 2/3 gallons of lemonadeOn Sunday, she sold 3 1/3 gallons more than she sold SaturdayOn Monday, she sold 2 2/3 gallons Less than she sold on sundayCalculating how many gallons were sold, we have:
[tex]= 10 (2/3) - 3(1/3)\\= 32/3 - 10/3\\= 22/3[/tex]
For monday we have:
[tex]=2(2/3)-22/3\\=22/3-8/3\\=14/3[/tex]
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20 POINTS AND BRAINLIEST!!! Three dentists wanted to compare the ages of their patients. They each calculated their patients’ mean age and the mean absolute deviation of their ages. They displayed the results in a table.
Which statements are true?
Select each correct answer. YOU CAN PICK MORE THAN ONE ANSWER
A. Dr. Appiah’s patients’ ages vary more than do Dr. Cantwell’s patients’ ages.
B. Dr. Appiah’s patients’ ages vary less than do Dr. Singh’s patients’ ages.
C. Dr. Singh’s patients’ ages and Dr. Appiah’s patients’ ages vary about the same amount.
D. Dr. Cantwell’s patients’ ages and Dr. Singh’s patients’ ages vary about the same amount.
13. Find the sales tax for three CDs, if each CD is $1429 and the sales tax is 7.25%.
use the GCF to factor 30+40
which explains how to determine 40% of 50?
A. find 10% of 50 by dividing 50 by 10. Then multiply the result by 4.
B. find 10% of 50 by dividing 50 by 10. Then multiply the result by 40.
C. find 50% of 40 by dividing 40 by 2. Then multiply the result by 4.
D. find 50% of 40 by dividing 40 by. Then multiply the result by 40.
I'll give brainliest if you show your work. Plz answer quickly. 0.89 is a square root except the only one that is being divided by 2.
Four students provide the following approximations for the square root of 0.89.
Anyah states that the square root of 0.89 is between 0.44 and 0.45 because of 0.44<0.89/2<0.45.
Matthew states that the square root of 0.89 is between 0 and 1 because of 0< 0.89<1.
Rhoda states that the square root of 0.89 is between 0.9 and 1.0 because of 0.9^2 <0.89<1.0^2
Ming states that the square root of 0.89 is between 0.93 and 0.95 because of (0.93)^2<0.89<(0.95)^2
Which solution(s) are correct?
Anyah's only
Ming's only
Anyah’s, Matthew’s, and Rhoda’s
Matthew’s, Rhoda’s, and Ming’s
The correct option is D. Matthew’s, Rhoda’s, and Ming’s.
Given,
Four students provide the following approximations for the square root of 0.89.
On calculating,
[tex]\sqrt{0.89} =0.943398113[/tex]
Now considering the 4 students approximations,
1. Anyah states that the square root of 0.89 is between 0.44 and 0.45 because of [tex]0.44<0.89/2<0.45.[/tex] This statement of anyah is false because the [tex]\sqrt{0.89} =0.943398113[/tex], hence it not lies in between [tex]0.44[/tex] and [tex]0.45.[/tex]
2. Matthew states that the square root of [tex]0.89[/tex] is between 0 and 1 because of 0< 0.89<1. clearly the value of [tex]\sqrt{0.89} =0.943398113[/tex] lies in between [tex]0[/tex] and [tex]1.[/tex]So this statement is true.
3. Rhoda states that the square root of [tex]0.89[/tex] is between [tex]0.9[/tex] and [tex]1.0[/tex] because of [tex]0.9^2 <0.89<1.0^2[/tex] . this statement is true because the square of [tex]0.9[/tex] is [tex]0.81[/tex] and the square of [tex]1[/tex] is [tex]1[/tex] , and [tex]0.89\\[/tex] lies in between them. So the statement is true.
4. Ming states that the square root of [tex]0.89[/tex] is between [tex]0.93[/tex] and [tex]0.95[/tex] because of [tex](0.93)^2<0.89<(0.95)^2[/tex]. this statement is also true.
Here only Anyah's statement is false.
Hence the correct option is D. Matthew’s, Rhoda’s, and Ming’s.
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Carson has 0.21 of a dollar. How many different combinations of coins could he have?
The combination of coins Carson can have , 21 pennies, 1 dime, 2 nickels, 1 penny, 4 nickels, 1 penny
What is currency?Currency is anything that is generally accepted to have value as a medium of exchange so that it can be traded for goods and services. The trading system within an economy is based on its currency, which is usually specific to a country and issued by that country's government.
2 dimes, 1 penny
21 pennies
1 dime, 2 nickels, 1 penny
4 nickels, 1 penny
Given that, Carson has 0.21 of a dollar.
So, he can have = 21 pennies [1 penny = 0.01 dollar]
= 2 dimes, 1 penny = 20 cents + 0.01 dollar = 0.21 dollar
= 1 dime, 2 nickels, 1 penny = 10 cents + 10 cents + 0.01 dollars = 0.21 dollar
= 4 nickels, 1 penny = 20 cents + 0.01 dollar = 0.21 dollar
Hence, the combination of coins Carson can have , 21 pennies, 1 dime, 2 nickels, 1 penny, 4 nickels, 1 penny
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What is the solution of 2(x + 4) - x = 15?
please solve in a easy way
Drag the system of equation to the point that represents the solution to the system.
The graph shows how many centimeters above a table top, y, a painted spot on an automated hamster wheel is for a given number of seconds x. How many degrees is the painted spot turning in 0.75 s? Enter your answer in the box. ??
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. f(x) = 3(4)(2x-4). h(x) = (x + 2)3 + 1.
A) x=-3
B) x=0
C) x=2
D) x= 4
Answer:
The correct option is D.
Step-by-step explanation:
The exponential function is
[tex]f(x)=3(4)^{2x-4}[/tex]
The polynomial function is
[tex]h(x)=(x+2)^3+1[/tex]
Find the values of both functions at x=-3, 0, 2, 4.
x values f(x) h(x)
-3 0.0000029 0
0 0.012 9
2 3 65
4 768 217
From this table we can say that the exponential function f(x) exceeds the polynomial function g(x) at x=4.
Therefore the correct option is D.
Midstate has averaged 1.2 inches of rain for each of the last ten months. For how many months must the Midstate average 1.6 inches of rain to bring the overall average rainfall for the period to 1.5 inches?
Andrew and Emily are playing a word game. For each correct answer, they earn 10 points, and for each incorrect answer, they lose 5 points. At the end of the game, Andrew has 55 points and Emily has -10 points. How many more points does Andrew have then Emily has ?
65 more points Andrew than Emily has in order to have the same points.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Given that, Andrew and Emily are engaged in wordplay. They receive 10 points for each accurate response, and they deduct 5 points for each erroneous response. Andrew has 55 points at the end of the game, while Emily has -10 points.
We have to apply the subtraction operation to find how many more points Andrew has than Emily has,
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
=55-(-10)
=65
Thus, 65 more points for Andrew than Emily in order to have the same points.
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Share 150 pounds in the ratio 4:1
Final answer:
To share 150 pounds in the ratio of 4:1, divide the total by the sum of the parts of the ratio to find the value of one part, then multiply to find each share. The shares are 120 pounds and 30 pounds.
Explanation:
To share 150 pounds in the ratio of 4:1, you first need to add up the parts of the ratio (4 + 1 = 5 parts). Then, divide the total amount by the number of parts to find out how much one part is worth. In this case, 150 pounds ÷ 5 parts = 30 pounds per part. The ratio dictates that one share should have 4 parts and the other should have 1 part. Therefore, multiply 30 pounds by 4 to find the first share: 30 pounds × 4 = 120 pounds. The second share is just one part: 30 pounds × 1 = 30 pounds.
To summarize, the first person would receive 120 pounds and the second person would receive 30 pounds. This completes the sharing of 150 pounds in a 4:1 ratio.
Unit conversion is not directly relevant to this problem, but if you need to convert units, remember to use the proper conversion factors and set up the appropriate proportion.
To share 150 pounds in the ratio 4:1, divide the weight into 5 parts and allocate 4 parts for one ratio and 1 part for the other ratio. Each part would be equal to 30 pounds.
Explanation:To share 150 pounds in the ratio 4:1, you can divide the total weight into 4 parts for one ratio and 1 part for the other ratio. To find the weight for each part, divide 150 by the sum of the ratio, which is 5 (4+1). Each part would be equal to 150/5 = 30 pounds. Therefore, in the ratio 4:1, the first part would be 4 parts x 30 pounds = 120 pounds, and the second part would be 1 part x 30 pounds = 30 pounds.
Hey sports memorabilia enthusiast collected autographed baseballs.The enthusiast is giving an autographed baseball who each of his three grandchildren. If the baseballs are selected at random what is the probability that Hank Aaron, Alex Rodriguez, and Mikey mantle autographed baseballs are given to his grandchildren? Their are a total of 5 baseballs.
Answer:
1/10
Step-by-step explanation:
Which fraction is a multiple of 1/9
Final answer:
A fraction is a multiple of 1/9 if it can be written as a whole number multiplied by 1/9. For example, 2/9 is a multiple of 1/9 because it is obtained by multiplying 1/9 by 2.
Explanation:
To find which fraction is a multiple of 1/9, one can multiply 1/9 by any whole number. For instance, if we multiply 1/9 by the number 2, we obtain 2/9. This resulting fraction is indeed a multiple of 1/9 since we have simply doubled the numerator while keeping the denominator the same. When we multiply both the numerator and the denominator by the same factor, we are maintaining the proportion, hence a multiple of 1/9.
So the question at hand is about identifying a fraction that, when simplified, would be a whole number times 1/9. Such fractions can be formed by multiplying the numerator (1) of 1/9 by any non-zero integer and keeping the denominator (9) constant. For example, 3/9 is a multiple of 1/9 as 3 is a whole number and 3/9 can be simplified to 1/3, which is 3 times 1/9.