The equivalent form of f(x) + g(x), if f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is
4x² + 8x + 4, so option C is correct.
What is a function?In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.
Given:
f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²
Calculate the equivalent form as shown below,
f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²
Simplify the above equation,
f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)
f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3
f(x) + g(x) = 4x² + 8x + 4
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Hanukkah lasts for 8 nights. You have four family members to purchase
gifts for as well as a new Menorah for your home. The Menorah costs
$42.00. If you have a total of $386.00 to spend, how much can you spend on
each family member?
Answer
86
Step-by-step explanation:
You can spend 86 on each family member. 386-42=344
344/4=86
What’s the decimal as a persent
Answer:
37/50
Step-by-step explanation:
74/100
37/50
Answer:
37/50
Step-by-step explanation:
37 ÷ 50 = 0.74
Hope this helped!
Have a supercalifragilisticexpialidocious day!
What's the answer she gave the class a test and I dont know the answer cause she ain't teach us
Wyatt’s class is having pizza party. Each group of 3 students eats 1 1/2 pizzas.
Given the following formula, solve for v.
S=1/2a2v+c
Answer:
Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.
s = 1/2a^2*v+c
First you need to subtract c from both sides to get
s-c = 1/2a^2*v
then you can just divide both sides by 1/2a^2 to get v
(2(s-c))/a^2=v
when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.
Step-by-step explanation:
Xavier opened a savings account with a deposit of $12,000.
The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?
0.9%
1.8%
2.7%
3.6%
Answer:
the answer is 236.25
Step-by-step explanation:
The interest rate on annual basis on the given account should be considered as 0.9%.
Calculation of the annual interest rate:
Here the interest amount be
= Future value - principal
= $12,324 - $12,000
= $324
Now the interest rate be like
Interest = Principal * rate * time period
$324 = $12,000 * rate * 3/ 100
So, the rate be 0.9%.
Hence, The interest rate on annual basis on the given account should be considered as 0.9%.
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The angle between the generator and the central axis of a double-napped cone is 60°. A plane intersecting the cone makes an angle of 50° with the central axis. Which conic section is formed?
circle
ellipse
hyperbola
parabola
Answer:
hyperbola
Step-by-step explanation:
given data
double-napped cone = 60°
plane intersecting cone angle = 50°
solution
conic section is formed hyperbola because here plane intersecting the cone makes an angle of 50° is less than angle b/w generator and central axis of 50°
so correct answer is hyperbola
Answer:
c on edge
Step-by-step explanation:
Find the product
-1/2y(2y^3-8)
Answer:
-y^4+4y
Step-by-step explanation:
Silvia has completed 8 math exercises e. This one fourth of the assignment. How many exercises were assigned?
Answer:
32
Step-by-step explanation:
since there are 4 parts, multiply 8 by 4
Let B be between a and C use the segment addition postulate to solve for W
AB= 4w-4
BC = 2w-8
AC = 24
A- w=10
B- w=6
C- w=4
D- w=-2
Answer:
Value of w = 6
Step-by-step explanation:
Given:
AB= 4w-4
BC = 2w-8
AC = 24
Find:
Value of w
Computation:
AB + BC = AC
4w - 4 + 2w - 8 = 24
6w - 12 = 24
6w = 24 + 12
6w = 36
w = 6
Value of w = 6
Please answer this correctly without making mistakes
Answer:
o.125 cupand 5 fluld
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 cup 2 fluid ounces
1 cup = 8 ounces
8 + 2 = 10 ounces
10 * 4,890 = 48,900 ounces = 6,112.5 cups = 6,112 1/2 cups
1/2 cup = 4 ounces
--> 6,112 cups 4 fluid ounces
Hope this helps!
An employee working 40 hours per week earns a salary of $600 per week but gets a second job offer to work 40 hours per week, hourly at $20 an hour. Which position generates the most income and how much more does that position make? Show your work or explain how you got your answer.
As per the given ratio comparison, We can say that the Second job generates the most income and that position makes him $5 per hour.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, An employee working 40 hours per week earns a salary of $600 per week but gets a second job offer to work 40 hours per week, hourly at $20 an hour.
For the first job, we will calculate the ratio of the employee Salary to the working hours to compare with the salary of the Second job:
Since,
He makes $600 per week for working 40 hours
Thus,
His hourly salary = 600/40
His hourly salary will be $15.
For the second job, it is already mentioned that the employee gets $20 per hour for the same working hours.
therefore, the Second job generates the most income and that position makes him $5 per hour.
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2) Add 1/3n + 2/3 and -1/6n + 1/6m
Answer:
m/6+ n/3 +1/2
Step-by-step explanation:
Please help me, thanks!
Tara has a plastic string that is 3 3/4 feet long. She will cut the string to make bracelets that are each 5/8 foot long. Explain how to use the number line to determine the maxium number of braceletss tara can make
Answer:
The answer is below
Step-by-step explanation:
Given that the length of the plastic string is 3 3/4 feet = 15 / 4 feet.
Bracelets of 5/8 foot long is needed to be made. To determine the maximum number of bracelets that can be made; using the number line, 5/8 is subtracted repeated times from 15/4.
We can see that when 5/8 is subtracted 6 times from 15/4, the result is 0.
15/4 ÷ 5/8 = 6
Hence Tara can make 6 bracelets from the plastic sting.
b. Logan continues the game with this clue: “My decimal is 3 hundredths less
than 3 tenths." Use pictures and/or words to show your thinking.
Answer:
Step-by-step explanation:
Three tenths is 3/10 or 30/100 so if we take three hundreds from this it is 27 over hundred ( 27/100).
HELP ASAP!!!!!!!!.!!!!
plz help me I dont know
geometery plz help
9514 1404 393
Answer:
all are No
Step-by-step explanation:
The given triangle is ΔABE, where AB is the hypotenuse and BE is the long side.
In each of the other triangles listed, The first two letters are not the name of the hypotenuse, so none are similar.
_____
Additional comment
The similar triangles would be ΔADB, ΔEDC, ΔBEC, and ΔBDE.
Answer:
all of them are
Step-by-step explanation:
please help meh I'm I'm slowlyy from this question TwT send help
Answer:
so what XDXD
Step-by-step explanation:
Type the correct answer in the box. Figure 1 is similar to figure 2. The height of the cone in figure 2 is centimeters.
On Plato!!!
The height of the cone in figure 2 is 4.5 centimeters.
Similar figureTwo figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
From the diagram, the two cone are similar. Let h represent the height of the cone in figure 2, hence:
h/3 = 12/8
h = 4.5 cm
The height of the cone in figure 2 is 4.5 centimeters.
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Answer:
4.5
Step-by-step explanation:
Is 7 a positive or Negative number?
PLZ HELP I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!
write an expression equivalent to 6(x + y) + 11 - 5, and state which property you used to write it.
Answer:
6x+6y+6
Step-by-step explanation:Distributive property and adding
The caverns of sonora have two different tours the crystal palace and the horseshoe lake tour
A student has a class that is supposed to end at 9:00am and another that is supposed to begin at 9:10am. Suppose the actual ending time of the 9am class is a normally distributed random variable (rv) X1 with mean 9:02am and standard deviation 1.5 minutes. Suppose that the starting time of the 9:10am class is a normally distributed rv X2 with mean 9:10am and standard deviation 1 minute. Suppose further that the time necessary to
Answer:
0.8340
Step-by-step explanation:
The aim of this question is to find the probability that the student makes it to the second class prior to when the lecture commences.
Provided that A, B, and C are independent of each other from the full complete question.
Then; we want P(A + C < B)
So A [tex]\sim[/tex] N (2, 1.5)
B [tex]\sim[/tex] N (10, 1)
C [tex]\sim[/tex] N (6, 1)
P(A + C - B < 0)
Since they are normally distributed( i.e. A + C - B)
Then;
E(A + C -B) = E(A) + E(C) - (B)
E(A + C -B) = 2 - 10 + 6
E(A + C -B) = -2
Var(A+C -B) = Var(A) + Var (B) + Var (C)
Var(A + C -B) = (1.5)² + (1)² + (1)²
Var(A + C -B) = 4.25
The standard deviation = [tex]\sqrt{4.25}[/tex]
The standard deviation = 2.06155
[tex]P(A+C-B) = p \Big (Z < \dfrac{0-(-2)}{2.06155} \Big )[/tex]
[tex]P(A+C-B) = p \Big (Z \le 0.97014 \Big )[/tex]
[tex]\mathbf{P(A+C-B) = 0.8340}[/tex]
Please help me I’m confused
S=1+2+3+........+100
Answer:
5050
Step-by-step explanation:
Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:
1 + 2 + 3 + 4 + … + 98 + 99 + 100
First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.
1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50
100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51
1 + 100 = 101
2 + 99 = 101
3 + 98 = 101
:
:
:
:
48 + 53 = 101
49 + 52 = 101
50 + 51 = 101
It was realized by him that final total will be fifty times of 101 means:
50(101) = 5050.
Based on this, Gauss has derived formula as:
The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:
S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence
As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.
Answer : 5050
To have $25,000 to spend on a new car in five years, how much money should Jill invest today at 8% compounded monthly?
Answer:
The answer is C. $16,780
Step-by-step explanation:
Answer:
c, 16,780
Step-by-step explanation:
plato
Three units to the right of seven is?
Answer:
10 i think
Step-by-step explanation:
Answer:
Notice that distance is always positive or 0. (-3)
Step-by-step explanation:
Find the interquartile range (IQR) of the data in the dot plot below.
goals
Luis's lacrosse scoring each season
43
45
46
47
48
Number of goals
Answer: According to the picture the IQR would be 3.5
Step-by-step explanation:
all work must be shown and easy to read or follow.
Find the Greatest Common Factor of the Numerator and Denominator
1. 1248
2. 2024
3. 1070
Answer: The answer is two.
Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.