Answer:
[tex]\longrightarrow 5n+1\longleftarrow[/tex]
Step-by-step explanation:
[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]
Answer:
[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]
Step-by-step explanation:
We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).
[tex]f(n)+g(n)[/tex]
We know that:
[tex]f(n)=2n+1\\g(n)=3n[/tex]
Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)
[tex](2n+1)+(3n)[/tex]
Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.
[tex](2n+3n)+(1)[/tex]
[tex](5n)+1[/tex]
[tex]5n+1[/tex]
f(n)+g(n) is equal to 5n+1
12. Carlos charges c dollars per hour for landscaping services. If he increases
his rate by 25%, which expression represents his new rate, in dollars per hour?
A. C +0.25
B. c + 25
C. C +0.25c
D. C + 25c
in the school there is 1 boy for every 4 girls. there is a total of 11 boys how many girls are in choir
Answer:
There are 33 girls in choir
Step-by-step explanation:
4 x 11 = 44 (we get four from the 1 boy for every 4 girls)
assuming that we have 44 kids in the class, 1/4 will be boys. 44/4 = 11 which means that we subtract 11 from 44 which will get you 33.
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
In the school, there is 1 boy for every 4 girls.
If there is a total of 11 boys. Then the number of girls in the choir will be given as,
⇒ 11 x 4
⇒ 44 girls
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
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What is the range of the function f(x) = 1/2 x- 2 when the domain is { 2,4,6}
Answer:
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Step-by-step explanation:
Domain and Range
Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.
We have the function:
[tex]\displaystyle f(x) = \frac{1}{2} x-2[/tex]
And the domain is
[tex]x\in\{2,4,6\}[/tex]
Compute the range by assigning each value of x:
For x=2:
[tex]\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1[/tex]
[tex]\displaystyle f(2) = -1[/tex]
For x=4:
[tex]\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0[/tex]
[tex]\displaystyle f(4) = 0[/tex]
For x=6:
[tex]\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1[/tex]
[tex]\displaystyle f(6) = 1[/tex]
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Find the slope of the line.
The slope of the line is =
(Simplify your answer. Type an integer or a fraction.
If BD and EG are parallel lines and mDCA = 127°, what is mDCF?
Answer:
In the diagram above, AB is parallel to EH, and BD is parallel to FH. Also, AB = BC, and EF = FH. If ∠EGC = 70°, then ∠D =
(A) 65°
Step-by-step explanation:
∠IHJ and ∠FEH are the corresponding angles in the given figure.
What are Angles?an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line
CJ is the transversal to DF and GI.
From the given options Angle IHJ and angle FEH are corresponding angles.
Hence, ∠IHJ and ∠FEH are the corresponding angles in the given figure.
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if tanΘ =√3 determine all the possible values of Θ such that -2π≤0≤2π
Answer:
Sure! Can you tell me the digits of pi?
Step-by-step explanation:
Help me solve this problem please please
Answer: D. x > -1
Step-by-step explanation:
Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation
Answer:
Yes, he did
Step-by-step explanation:
We have that:.
Total time = 45
At time t, he moves at 8mph.
This gives: 8t
The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).
Hence, the total is
8t + 5(45 - t)
By comparison, we can conclude that Larry modeled the situation correctly.
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Answer:
The answer is
[tex] \huge y = 4x - 22[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (3, -10) and the slope 4
We have
[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]
We have the final answer as
[tex]y = 4x - 22[/tex]
Hope this helps you
Answer:
y+10=4(x-3) in point-slope form
Step-by-step explanation:
In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.
The number of hours worked by each of the employees last week at two stores are listed below.
Hours Worked in a Week at Two Stores
Store 1 16, 28, 36, 40, 78
Store 2 22, 27, 33, 36, 40
Which statements are true and supported by the data in the table? Check all that apply.
The data for store 1 shows greater variability.
The median number of hours worked for the two stores is the same.
The mean of the data for store 1 is greater than the mean of the data for store 2.
The interquartile range of both data sets is the same.
The range of the data for store 1 is less than the range of the data for store 2.
Answer:
The correct options are;
1) The data for store 1 show greater variability
2) The mean of the data for store 1 is greater than the mean of the data for store 2
Step-by-step explanation:
The given information are;
Hours worked in a week
Store 1
16, 28, 36, 40, 78
Store 2
22, 27, 33, 36, 40
Using an online application, we have;
For store 1
The range is 78 - 16 = 62
Mean = 39.6
Standard deviation ≈ 20.88 (Higher variability)
Median = 36
Lower quartile = 22
Upper quartile = 59
Interquartile range = 59 - 22 = 37
For store 2
The range is 40 - 22 = 18
Mean = 31.6
Standard deviation ≈ 6.41 (Lower variability)
Median = 33
Lower quartile = 24.5
Upper quartile = 38
Interquartile range = 38 - 24.5 = 13.5
Answer:
The correct answers are:
1) The data for store 1 shows greater variability.
3) The mean of the data for store 1 is greater than the mean of the data for store 2.
Step-by-step explanation:
I got these two correct on Edge 2021!
Have a nice day :)
What is 2/3 as a decimal
Answer:
[tex]. \frac{}{66} [/tex]
Answer:
0.66666667
Step-by-step explanation:
PLEASE HELP IF YOU GET RIGHT I GIVE BRAINLIEST
Answer:
i think 36
Step-by-step explanation:
brainliest?
Answer: 36
Step-by-step explanation:
45-27=18
18+18=36
What is the value of -8 + 4.5 – (-1.2
Answer:-2.3
Step-by-step explanation:
-8 + 4.5 = -3.5
-3.5 -(-1.2)= -2.3
Pls help dont lie
Or else I get wrecked
Answer:
19.20
Step-by-step explanation:
P.S im not a genius
If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13
The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
If f(x) = 2x – 5 and g(x) = x² – 4x – 8.
Then the function (f+ g)(x) will be
(f+ g)(x) = f(x) + g(x)
(f+ g)(x) = 2x – 5 + x² – 4x – 8
(f+ g)(x) = x² – 2x – 13
Then the correct option is A.
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In the diagram below, m
Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABE
Let the second triangle be represented as ΔCDE
The measure of angle ∠EAB = 62°
The measure of angle ∠ABE = 56°
The sum of the interior angles of a triangle = 180°
So , the measure of angle ∠AEB = 180° - ( 62° + 56° )
The measure of angle ∠AEB = 180° - 118°
The measure of angle ∠AEB = 62°
And , by vertically opposite angles
The measure of angle ∠AEB = measure of angle ∠CED
And , the measure of ∠CDE = 180° - ( 82° + 62° )
The measure of ∠D = 180° - 144°
The measure of ∠D = 36°
Therefore , the measure of ∠m = 36°
Hence , the measure of angle ∠D is 36°
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A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4200 seats. The students filled 84% of the seats in the theater. How many 6th graders went on the trip?
You need to find 84% of 4200 to get the amount of students. First change the percent to a decimal, and multiply 0.84 x 4200.
There were 3528 total students at the theater.
Plz answer it’s timed
Answer:
1,5
Step-by-step explanation:
cuz it's part of the green
Plz help me I’ll give brainliest
It costs $2.37 to paint one square foot of wall. You need to paint a wall that measures 864.5 square feet. It will cost to paint that wall. (Round your answer to the nearest hundredth)
a $204.88
b $2,048.87
c $2,048.86
d. $2,848.87
Answer:
B- hope this helps:)
Step-by-step explanation:
The total cost to paint 864.5 square feet of wall is $2,048.87.
It is given that the cost to paint one square foot of wall is $2.37.
We are asked to find the total cost to paint 864.5 square feet of wall.
What are the different place values in a given number with a decimal point?If we have a number that has a decimal point then we have two parts.
The whole number part and the fractional part.
After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.
You can also see the given figure below.
We know that,
One square foot = $2.37.
Remember that Feet is the plural form of the foot.
We can write,
864.5 square feet = 864.5 x one square foot
Because in 864.5 square feet we have 864.5 one square foot.
And since one square foot cost $2.37.
864.5 square feet will cost 864.5 x 2.37 dollars.
Now,
864.5 x 2.37 = $2048.865.
Rounding to the nearest hundredth.
6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.
Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.
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A cookie recipe calls for 2 cups
of sugar.
How much sugar will I need if I
only make 2/3 of a batch?
Answer:
6
Step-by-step explanation:
Answer:I am not sure about the answer but when 2 multipled by 3 X 2 equals to 4/3
4(8-6)+2(4+8)
Solve?
[tex] \huge{\boxed{\sf{32}}}[/tex]
Step by step explanation:
Step 1:
→[tex]4(8-6)+2(4+8)[/tex]
Info: + × - = -
Step 2:
→[tex]32 - 24 + 8 + 16[/tex]
Step 3:
→[tex]56 - 24[/tex]
Step 4:
→[tex]\green{32✓}[/tex]
solve the question please
the mass of the moon
Answer:
The answer is 10^24kg. 0.07346.
write 38/11 as a decimal. use a bar to indicate which digit or group of digits repeat
Answer:
3.454545... put the bar over the first 45 after the decimal to show that it repeats
Step-by-step explanation:
Have a good day:)
A fraction is a way to describe a part of a whole. The fraction 38/11 can be written as [tex]3.\overline{45}[/tex].
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given the fraction is 38/11, therefore, if we perform division for the given fraction we will get,
[tex]\dfrac{38}{11} = 3.45454545.....[/tex]
The bar is kept on the numbers that are repeating, therefore, the bar should be kept over the digits 0.45.
Hence, the fraction 38/11 can be written as [tex]3.\overline{45}[/tex].
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Graph the linear function f(x)=3−6x
Answer:
(-1,9) (0,3), (1,-3), (2,-9)
Step-by-step explanation:
y intercept is -3
slope is -6, so you would go down by 6 and right by 1.
Answer:
The coordinates to graph this would be (-1,9) (0,3) (1,-3) (2,-9)
Match the equation on the left with its solution(s) on the right.
that doesn't give the answer
Answer:
what doesnt give the answer??
Step-by-step explanation:
A disadvantage of privately owned media is its __________.
Answer:
Its D
Step-by-step explanation:
Find the range of this function