Answer:4
Step-by-step explanation:
Answer:
4 or 2
Step-by-step explanation:
The absolute value of the complex number, 2i, is 2.
If f(x) = x3 – 1 and g(x) = 2x - 1, which choice is equivalent to g(f(x))?
A)
x3 - 3
B)
2x3 - 3
)
2x3 - 2
D)
223 - 1
The equivalent function of g(f(x)) for the given function is 2x³ - 3.
Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
We have been given that
f(x) = x3 – 1
g(x) = 2x - 1
and find out g(f(x)) =?
The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.
g(f(x)) = 2(f(x))- 1
Put the value of f(x) in the equation
g(f(x)) = 2( x³ - 1) -1
g(f(x)) = 2 x³ - 2 -1
g(f(x)) = 2 x³ - 3
Hence , For the given function, 2x3 - 3 serves as the corresponding function of g(f(x)).
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MM can someone answer this riddle
Animal riddle
In reply to an inquiry about the animals on his farm, the farmer says: “I only ever keep sheep, goats, and horses. In fact, at the moment they are all sheep bar three, all goats bar four, and all horses bar five.” How many does he have of each animal?
Richard and Teo have a combined age of 41. Richard is 11 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)
Richard = R & Teo = T
Richard & Teo are combined 41 it means R + T = 41
R = 8 + 2T
R + T = 41 #1
R = 8 + 2T #2
replace 2 in 1
8 + 2T + T = 41
8 + 3T = 41
3T = 41 -8 = 33
T = 11
R = 8 + 2*11 = 30
result = richard is 30 & teo is 11 years old.
2 times of Teo is 22
and 8 years older it means + 8
= 30
Helps me solve this problem please
Answer:
6Step-by-step explanation:
2x - 3x + 20 + 5x - 40 = 4 combine like terms
(2x - 3x + 5x) + (20 - 40) = 4
4x - 20 = 4 add 20 to both sides
4x = 24 divide both sides by 4
x = 6
170.04 in standard form is?
Answer: 0
Step-by-step explanation:
A. Corresponding angles
B.Same side interior angles
C. Alternate exterior angles
D. alternate interior angles
Answer:
Alternate exterior angles
Which equation shows the relationship between the
number of poles ordered, n, and the total cost, c?
A. c = 3n + 120
B. c = 4n + 180
C. c = 20n + 60
D. c = 40n
(NEED HELP ITS DUE TODAY)
The lengths of the sides of a quadrilateral are 4 consecutive even integers.
The perimeter of the quadrilateral is 20 inches.
What is the length of the longest side?
Answer: 8 inches
Step-by-step explanation:
A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.
We then equate the side to the perimeter. This will be:
a + a+2 + a+4 + a+6 = 20
4a + 12 = 20
4a = 20 - 12
4a = 8
a = 8/4
a = 2 inches
The length of the longest side will be:
= a + 6
= 2 + 6
= 8 inches
A baseball player starts the season with 77 career home runs. Ten games into the
season, he has hit 2 home runs. Assume he continues at this pace. Write an
equation for the number of career home runs he has hit. How many career home
runs would you expect him to have at the end of the season (162 games)?
If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.
162 / 10 is approximately 16.
16 × 2 = 32
32 + 77 = 109 career home runs
Using the slope intercept relation, the required equation and the number of home runs at season end would be ;
y = 0.2x + 77109Recall :
y = bx + cc = initial number of hime runs = 77b = slope y = total career home runs x = number of games playedSlope, b = 2 home runs per 10 games = 2/10 = 0.2
The expression can be represented thus:
y = 0.2x + 77Number of home runs at the end of the season :
x = 162
y = 0.2(162) + 77
y = 32.4 + 77
y = 109.4
y = 109
Hence, Total number of hime runs would be 109.
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If angle B measure 135 degrees find measure of Angle Q
A.180
B.45
C.60
D.135
Answer:
D. 135
here are some extra words for fun (and to fill the necessary 20 characters)
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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help graphs are not my favorite
Answer:
d
Step-by-step explanation:
Angela went to the farmers' market to buy some vegetables. She wanted some yellow squash and zucchini which were both on sale for $1.48 per pound. Angela bought 245 pounds of yellow squash and 3110 pounds of zucchini. To the nearest cent, what was the total cost of the vegetables?
The total cost of 245 pounds of squash and 3110 pounds of zucchini is $4965.4.
What is Unitary method?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The unit rate for squash and zucchini is $1.48 per pound.
In order to calculate the cost for 245 pounds of squash and 3110 pounds of zucchini unitary method can be used as follows,
The cost for 245 pounds of squash is 245 × 1.48 = $362.6
And, the cost for 245 pounds of squash is 3110× 1.48 = $4602.8.
Thus, the total cost is given as 4602.8 + 362.6 = $4965.4.
Hence, the total cost of vegetables at the given rate is $4965.4.
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While creating your résumé, what should you do before making a final copy to fix any typos or errors?
Answer:
you could ask a friend or someone you are close to, to proof read it. You could also but it through Grammarly to find all errors that someone could just overlook.
angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.
Answer:
50° and 130°
Step-by-step explanation:
Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°
3x-4+8x-14=180°
11x-18=180°
11x=198°
x=18°
Angle1 = 3*18 -4 = 50°
Angle2 = 8*18 -14= 130°
The area of a Rhombus is 60cm² and one of its diagonals is 15cm, then the length of other diagonal is
The area of a rhombus is give by 1/2 times the product of the diagonals. Therefore:
60cm2=12(d1⋅d2)
where d1 and d2 are the diagonals. Letting d1=15cm and solving for d2 gives d2=8cm.
The two diagonals bisect each other and are perpendicular to each other. Therefore the four triangles created by the diagonals in the rhombus are right triangles. Using the Pythagorean theorem on any of these triangles yields that the sides s of the rhombus are given by
(152 ) 2 + (82)2 = s 2
or s = 172cm.
The perimeter is therefore 4 X 172 = 34 cm.
PLS HELP WITH THIS QUESTION
Answer:
I think C
Step-by-step explanation:
Factor out the greatest common factor. 21x2 - 6x 21x2 - 6x =
Answer:
21x²-6x=x(21x-6)...
If a = 5x + 8 and d = 62, find the value of x.
Answer:
first if a=d that 62=5x+8
62-8=5x+8-8 ...substract by same number
54=5x ....simplifying
54/5=5x/5 ....divided by two equal part
10.8=x
Apply the Triangle Sum Theorem, and solve for x.
5x° (Angle G)
4xº(Angle H)
3xº(Angle J)
Answer:
15°
Step-by-step explanation:
5x°+4x°+3x°=180°
12x°=180°
X=(180/12)°
X=15°
Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?
Answer:
No it cant
Step-by-step explanation:
(3,-1) is not a possible solution for the equation y > 2x-3
The points that touch the x and y intercept are (1.5,0) and (0,-3)
Solve for x:
(X+5)^1/2 = (5-2x)^1/4
Answer:
X = Negative 2 (-2)
What is the solution for the system of equation
Y=-2x+8 y=x-4
Answer:
(x , y) = (28/5 , 8/5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x , y) = ( 28/5 , 8/5 )
Find the mistake made in the steps to solve the equation below
Answer:
C. Step 3 is incorrect and should be x=10/8
Answer:
c. step 3 is incorrect and should be x=10/8
In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step? 1 minus x + 2 + 2 x = 10 x minus 5 minus x 1 minus x minus 2 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 5 minus x
Answer:
1-x-2+2x = 10x-25-x
Step-by-step explanation:
The given equation is as follows :
1-(x+2)+2x=5(2x-5)-x
We need to solve the above equation.
Firstly opening bracket off LHS and applying distributive property at RHS.
1-x-2+2x=5(2x)-5(5)-x (Distributive property :a(b+c) = ab+ac)
1-x-2+2x = 10x-25-x
So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.
Answer:
It's b
Step-by-step explanation:
I got it right on edge
Solve for x and y, will mark brainliest please help!
Answer: x=37, y=9
Step-by-step explanation:
3x+11+x+21=180
4x+32=180
4x=148
x=37
3(37)+11=14y-4
111+11=14y-4
122=14y-4
14y=126
y=9
i just need some help on a few math questions. i'm very bad at math sorry :(
Answer:
Q1) D
Q2) A
Q3) A
Q4) I'm sorry I can't figure this one out
Q5)2.7
Step-by-step explanation:
Anyone know the answer ?
Answer:
b
Step-by-step explanation:
hope this helps
What is the slope-intercept equation
for the following line?
y = -2x + [?]
What is the intercept?
Answer:
y = -1/2x - 3
Step-by-step explanation:
Below are two parallel line intersecting them
Answer:
x = 53°
Step-by-step explanation:
alternate exterior angles are equal
Answer:
Step-by-step explanation:
Two lines are parallel.
x = 53
Alternate exterior angles are equal