If the function f(x) = 5 + 3x and g(x) = 5 - 9x. The value of f(g(2)) is -34
The given functions are
f(x) = 5 + 3x and g(x) = 5 − 9x.
a. We plug-in 2 in the function g(x) and then the obtained image in the function
f(x)g(2) = 5 − 9 × 2
= 5 - 18
= -13
f(g(2)) = f(-13)
= 5 + 3 × (−13)
= 5 - 39
= -34
b. We find the composite function by replacing x in f(x) by
g(x) f(g(x)) = 5 + 3g(x)
= 5 + 3 × (5−9x)
= 5 + 15 − 27x
f(g(x)) = 20 − 27x
f(g(2)) = 20 − 27 × 2
= 20 − 54
= -34
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Please help me..............
Answer:
it is A
Step-by-step explanation:
If You Had Three Wishes, What Would You Wish For?
Answer:
I would wish to be the brainliest, I would wish for more points, and i would wish for more people to answer my questions
Step-by-step explanation:
thats only for brainly though
Answer:
My three wishes would be:
1: Get all staright A's
2: the sickness that starts with C thats going around goes away forever
3: Have some cheesecake.
Step-by-step explanation:
Help todays the last day for a good grade so ima ask lots of questions bc its a long one
amelia = 5Raj
80 = 5x
x = 16 mins
if 3n + 2 is an odd integer, then n is odd. • Proof : Assume that n is even. This implies that n = 2k for some integer k.
If 3n + 2 is an odd integer, then n must be odd.
The proof starts by assuming that n is even, which means it can be expressed as 2k for some integer k.
Substituting this value in the expression 3n + 2, we get:
3n + 2 = 3(2k) + 2 = 6k + 2
Simplifying further, we can factor out 2 from the expression:
3n + 2 = 2(3k + 1)
Since 3k + 1 is an integer, we can see that 3n + 2 is even, which contradicts our original assumption that it is odd. Therefore, our initial assumption that n is even is false, and we conclude that n must be odd.
This proof follows the method of proof by contradiction, where we assume the opposite of what we want to prove and show that it leads to a contradiction, hence proving the original statement.
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use implicit differentiation to find an equation of the tangent line to the curve at the given point.
Using the implicit differentiation the equation of the tangent line to the curve x^2 + y^2 = 25 at the point (3, 4) is y = (-3/4)x + 19/4.
To find the equation of the tangent line to a curve at a given point using implicit differentiation, we need to differentiate both sides of the equation with respect to x, then solve for dy/dx.
Let's say we have a curve given by an implicit equation, such as x^2 + y^2 = 25, and we want to find the equation of the tangent line at the point (3, 4).
We start by differentiating both sides of the equation with respect to x:
d/dx(x^2 + y^2) = d/dx(25)
2x + 2y(dy/dx) = 0
Next, we solve for dy/dx:
dy/dx = -x/y
Now we can substitute the values x=3 and y=4 into this equation to find the slope of the tangent line at (3, 4):
dy/dx = -3/4
Finally, we use point-slope form to find the equation of the tangent line:
y - 4 = (-3/4)(x - 3)
Simplifying this equation gives us:
y = (-3/4)x + 19/4
So the equation of the tangent line to the curve x^2 + y^2 = 25 at the point (3, 4) is y = (-3/4)x + 19/4.
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I need to know how to find the x,y, and z
Answer:
x =~ 31.2
y =~ 18
z =~ 9
Step-by-step explanation:
cos 30º = 27 / x
0.8660 = 27 / x
x = 27 / 0.8660
x =~ 31.18
w = height (smaller trinagle w, y, z)
tg 30º = w / 27
0.5774 = w / 27
w = 27 * 0.5774
w = 15.5898
tg 30º = z / 15.5898
0.5774 = z / 15.5898
z = 0.5774 * 15.5898
z = 9.00155052
cos 30º = 15.5898 / y
0.8660 = 15.5898 / y
y = 15.5898 / 0.8660
y =~ 18
Supposed Justins graph had an empty circle at 12. Write the inequality represented by this graph.
the inequality is
x> 12
all real numbers greater than 12
interval (12, infinite)
PLEASE HELP!!! I'LL MARK BRAINLIEST!!! PLEASE HELP!!!
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Solve the system of equations below using elimination.
4x + 4y = -37
2x + 5y = -17
Part A: What is the x-value?
Part B: What is the y-value?
Part C: In one paragraph, using your own words, explain the work you did to find the answers to parts A and B.
Answer:
Part A: x = -39/4 or -9.75
Part B: y = 1/2 or .5
Step-by-step explanation:
Part C: Multiply the bottom equation by 2, obtaining 4x + 10y = -34. Subtract the top equation (4x + 4y = -37) from this equation, obtaining 6y = 3. Solving this, y = 1/2
(y = .5). Substitute this value of y into the equation 4x + 4y = -37, and then solve for x:
4x + 4(1/2) = -37
4x + 2 = -37
4x = -39, so x = -39/4 or -9.75
SECOND TIME POSTING I RLLY NEED HELP GUYS URGENNTTTT PLS PLS PLS!
Type the missing number in this sequence:
3, 18, ____, 648, 3,888, 23,328
Answer:
108
Step-by-step explanation:
18*6 = 108
the perimeter of a rectangle is (10x2).if it's width is (2x-1),which expression represents the length
a.5x-2
b.3x+2
c.8x+3
d.12x+1
Answer:
optionC 8x+3 is the answer...
10x+2=2x-1+length
so length= 8x+3
A mixed economy is dependent only on the choices of individuals and businesses a combination of individual choice and government protection where people produce and trade traditional goods completely based on government decisions
Answer:
In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.
Answer:
a combination of individual choice and government protection
Step-by-step explanation:
I need help plz someone help me
Answer:
N'=(0, 0)
K'=(4,4)
I'=(4, 0)
What fraction is equivalent to 75% of 1/3
Answer:
1/4
Step-by-step explanation:
consider the following discrete probability distribution. x −10 0 10 20 p(x = x) 0.35 0.10 0.15 0.40 what is the probability that x is less than 5?
The probability that x is less than 5 = 0.45
Discrete probability distribution:
It is a type of probability distribution that displays all the possible values of a discrete random variable accompanying the affiliated probabilities. We can also say that a discrete probability distribution provides the chance of occurrence of every possible value of a discrete random variable.
Discrete probability distribution:
x = -10 0 10 20
P(X=x) = 0.35 0.10 0.15 0.40
The probability that x is less than 5:
P(X<5) = 1 - P (X = 10) - P(X= 20)
1 - 0.15 - 0.40 = 0.45
The probability that x is less than 5 is = 0.45
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Without knowing its side lengths, can you determine the ratio of the perimeter of a square to the length of one of its sides? Explain.
A square's side to perimeter ratio is one to four.
How do you calculate a perimeter's ratio?The quantity of two-dimensional space a shape occupies is referred to as its area. Simply dividing the perimeter by the area yields the ratio of a shape's perimeter to area. It is simple to calculate this. The perimeter ratio and scale factor are the same. In reality, the scaling factor for every ratio between any two similar shapes is the same (diagonals, medians, midsegments, altitudes, etc.).The Perimeter is equal to a constant multiplied by the Side length, or the Perimeter is equal to four when divided by the Side length. There is so no doubt that the link between Side length and Perimeter is proportionate.To learn more about ratio, refer to:
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2. People ride in a mini-bus from the hotel to the airport. Sixty people need to go to the airport, and they are going to ride in 3 mini-buses. The same number of people rides in each mini-bus. How many people will ride in each mini-bus?
Answer:
20 people will ride each bus
Step-by-step explanation:
60 people, and 3 buses
you would divide 3 by 60
A bus driver marries a dental assistant. What is their
combined income each week?
Helppppp please
Answer:
it should be 1571.19
Step-by-step explanation:
If you combine the you just need to add them using the amount under weekly 584+987.19= 1571.19 weekly
Find the perimeter and area of the regular polygon to the nearest tenth.
The perimeter of the regular pentagon is approximately 17.64 feet.
The area of the regular pentagon is approximately 5.708 square feet.
We have,
To find the perimeter and area of a regular polygon with 5 sides and a radius of 3 ft, we can use the formulas for regular polygons.
The perimeter of a regular polygon:
The perimeter (P) of a regular polygon is given by the formula P = ns, where n is the number of sides and s is the length of each side.
In a regular polygon, all sides have the same length.
To find the length of each side, we can use the formula for the apothem (a), which is the distance from the center of the polygon to the midpoint of any side. The apothem can be calculated as:
a = r cos (180° / n), where r is the radius and n is the number of sides.
Substituting the given values:
a = 3 ft x cos(180° / 5)
Using the cosine of 36 degrees (180° / 5 = 36°):
a ≈ 3 ft x cos(36°)
a ≈ 3 ft x 0.809
a ≈ 2.427 ft
Since a regular polygon with 5 sides is a pentagon, the perimeter can be calculated as:
P = 5s
However, we still need to find the length of each side (s).
To find s, we can use the formula s = 2 x a x tan(180° / n), where a is the apothem and n is the number of sides.
Substituting the values:
s = 2 x 2.427 ft x tan(180° / 5)
s ≈ 2 x 2.427 ft x 0.726
s ≈ 3.528 ft
Now we can calculate the perimeter:
P = 5s
P ≈ 5 x 3.528 ft
P ≈ 17.64 ft
Area of a regular polygon:
The area (A) of a regular polygon is given by the formula
A = (1/2) x n x s x a, where n is the number of sides, s is the length of each side, and a is the apothem.
Substituting the values:
A = (1/2) x 5 x 3.528 ft x 2.427 ft
A ≈ 5.708 ft²
Therefore,
The perimeter of the regular pentagon is approximately 17.64 feet.
The area of the regular pentagon is approximately 5.708 square feet.
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alex generated a mix of numbers on his calculator,what is the median?
6 multiplied by 3, then increased by 10
Answer:28
Step-by-step explanation:
Break it up! 6x3 is 18. Then 18 + 10 is 28 :P
Hope this helps :D
if two lines begin parallel but later diverge, the geometry is
Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.
I understand that you would like an explanation related to parallel lines in geometry and the final answer should be concise, covering the main point in the last two lines.
In geometry, parallel lines are lines in a plane that never intersect or touch each other at any point. These lines always maintain the same distance from one another. However, if two lines start as parallel but later diverge, it indicates that they are no longer maintaining the same distance from each other. In such a case, the geometry under consideration is non-Euclidean.
Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.
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Write the first five terms of the sequence whose general term, an, is given
an= - 5n + 8
Answer: See Explanation
Step-by-step explanation:
1st term = an= - 5n + 8 = -5(1) + 8
= -5 + 8
a1 = 3
2nd term = an= - 5n + 8 = -5(2) + 8
= -10 + 8
= -2
3rd term = an= - 5n + 8 = -5(3) + 8
= -15 + 8
= -7
4th term = an= - 5n + 8 = -5(4) + 8
= -20 + 8
= -12
5th term = an= - 5n + 8 = -5(5) + 8
= -25 + 8
= -17
will someone plz help
ps funny photo
134.84 percent.
Just divide 384 by the other number
PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.
Answer:
The inequality that models the story is h < 16.
Step-by-step explanation:
The information provided states that Eduardo ONLY wants 16 hot dogs at most which means he doesn't want to cook anymore hot dogs than 16 of them. The line below the symbol means that it could also equal to that number which is what Eduardo also wants. Now that we know the inequality, we also need to graph it. All you need to do is plot the endpoint at 16 with an arrow pointing to the left. It also requires a closed circle because it doesn't mean just less than, don't forget, it means less than OR equal to. A closed circle just means to shade the dot by the way.
Answer: h < 16
Step-by-step explanation:
h (the number of hotdogs) has to be less or equal to 16
for the line do a closed circle on 16, and have the arrow go left
Farmer Ed has 3,000 meters of fencing. and wants to enclose a reclangular plot that borders on a river. If Famer Ed does nat fence the side along the river, What is the largest area that can be enclos
Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.
What is the largest area that can be enclosed?To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.
Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.
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Use the GCF and the distributive property to write 18 + 45 as a product.
Answer:
(6x9) + (9x1)
Step-by-step explanation:
What is the endpoint of a line segment with these points? Endpoint: Z(–21, 15) Midpoint: M(–13, 29) (–5, 43) (–17, 22) (–27, 21) (–29, 1)
Answer: A - (-5, 43)
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!! WILL GIVE BRAINLIEST IF RIGHT! 2 PPPL HAVE TO ANSWER FIRST
Answer: J
Step-by-step explanation:
\(log_2 24 - log_2 3 = log_2 (24/3) = log_2 8 = 3\)
So \(log_5 x = 3 -> x=125\)
If P(A|B) = .4 and P(B) = .6, then P(A∩B) = .667.
O True
O False
Given P(A/B) = .4, P(B) = .6 then P(A∩B) = .667 is False.
The formula for conditional probability is:
P(A/B) = P(A∩B) / P(B)
where,
P(A∩B) = probability of both A and B events occurring at the same time.
We have to find P(A∩B) so,
Substitute the values in the above formula
0.4 = P(A∩B) / 0.6
By moving 0.6 to the left side we get
P(A∩B) = 0.4 × 0.6 = 0.24
Thus, P(A∩B) ≠ 0.667
Hence P(A/B) = .4, P(B) = .6 then P(A∩B) = .667 is False.
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List the following in order from least to greatest 20,2-2,(-2)2,-22
Answer:
(-22) ,- (2)2 , 2-2 , 20
Step-by-step explanation:
negative then postive
20
2-2=0
(-2)*2=(-4)
-22
hope this helps :)
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