Given the definitions of f (x) and g(2) below, find the value of g(f(5)).
f(x) = x² - 6x – 6
g(x) = -3x + 11
Answers
Answer:
[tex]g(f(5)) = 44[/tex]
Step-by-step explanation:
First, solve for [tex]f(5)[/tex]
[tex]f(5) = 5^2-6(5)-6 = -11\\[/tex]
Then, plug in what you got for [tex]f(5)[/tex] into [tex]g(x)[/tex]. Since [tex]f(5) = -11[/tex] you will be solving for [tex]g(-11)[/tex].
[tex]g(-11) = -3(-11) + 11 = 44[/tex]
the answer is 44.
Please be sure to mark this answer as brainliest if it satisfies you.
Step-by-step explanation:
your answer is in the photo attached
Related Questions
The two photos are both for the same question please help I dont know how to solve the revered graph
Answers
Answer:
point b is plotted incorrectly
Step-by-step explanation:
find the distance between two points 5,5 and -4,6
Answers
Answer:
19.06
Step-by-step explanation:
Put the points into the distance formula:
[tex]d=\sqrt{(-4-5)^2+(6-5)^2}[/tex]
Solve:
[tex]d=\sqrt{(-9)^2+(1)^2}[/tex]
[tex]d=\sqrt{82}[/tex]
[tex]d=9.055385[/tex]
Answer:
[tex]\displaystyle d = \sqrt{82}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, 5)
Point (-4, 6)
Step 2: Solve for d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in coordinates [Distance Formula]: [tex]\displaystyle d = \sqrt{(-4-5)^2+(6-5)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-9)^2+(1)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+1}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{82}[/tex]What is the measure of angle N?
Answers
Answer:
42.7+90+N=180
132.7+N=180
N=180-132.7
Angle N =47.3°
[tex]\frac{1-(-5)}{7-2}[/tex]
Answers
Answer:
2
Step-by-step explanation:
A system of equations is shown.
y = 3x - 2
y = x2
What are the solutions to the system of equations?
Answers
Answer:
x = 1, y = 1
x = 2, y = 4
Step-by-step explanation:
substitution method:
x² = 3x - 2
x² - 3x + 2 = 0
(x - 2)(x - 1) = 0
x = 2
x = 1
A parallelogram with a height of 2x+3 has an area listed below. What is the length of the base of the parallelogram? 2x^2+13x+15
Answers
Answer:
x+5
Step-by-step explanation:
I thought what 2 numbers if multiplied made 15
also 2x+3 already has a 3
so I'm guessing 3 and 5
then I put them next to each other
(2x+3) ( +5)
I put a x in the second parenthesis as a guess because the area had a 2x^2 in it . that could only happen with 2x * x
so (2x+3) (x+5)
(-2)x(+4)x(+3)x(-1)=
Can you help me please?
Pode me ajudar por favor?
Podría ayudarme por favor?
Answers
Answer:
-24
Step-by-step explanation:
-2×4= -8
-8×3= -24
-24×1= -24
I hope this helps ^-^
Ms. James is buying petri dishes for a science experiment for her students. The supply store sells petri dishes in packages of 15. Ms. James needs 350 petri dishes for her students this year and she already has 25. How many packages should she order? Will she have any petri dishes leftover? If so, how many? Explain. pls i need it nowww
Answers
Answer:
ms.james already as 350 so minus 25 from that which is 325.Then divide that by 15 which is 21 and she will have 6 left over
Answer:
330
Step-by-step explanation:
350 325 ÷ 15 = 21.6666666667
- 25 21x15 = 315 so get 22 bc 22x15=330
-------
325
Kant's sister has 150 red marbles and 360 pink marbles and she wants the same number of marbles on each row, what is the least number of rows she can make ?
Answers
Answer:
We know that Kant's sister has 150 red marbles and 360 pink marbles.
She separates the marbles in rows, such that each row must have the same number of marbles.
The least number of rows she can make is when she puts N marbles in each row, such that N is the greatest common factor between 150 and 360.
To find the greatest common factor between 150 and 360 we can write them as the product of prime numbers.
150 = 15*10 = (3*5)*(2*5)
360 = 36*10 = (6*6)*(2*5) = (2*3*2*3)*(2*5)
Here we can see that the factors: 2, 3, and 5 appear (at least) one time in each number, this means that the greatest common factor between 150 and 360 is the product of these 3 factors:
GCF = 2*3*5 = 30
This means that we need to make rows with 30 marbles each.
and we will have:
150/30 = 5 rows of red marbles
360/30 = 12 rows of pink marbles.
A total of 5 + 12 = 17 rows.
At City Burger, 4 of the last 8 customers wanted cheese on their burgers. What is the experimental probability that the next customer will want cheese on his or her burger?
help fast please!!!
Answers
A club has members from three grades.
It has 36 members from sixth grade, 24 members from seventh grade, and 30 members from eighth grade.
What is the ratio of the club's seventh graders to eighth graders?
Answers
help ASAP Ill mark brainliest
Answers
Answer:
1:4
Step-by-step explanation:
there are 5 questions. there is one correct answer so the rest must be wrong. so the ratio of correct to wrong is 1:4.
A triangle has one angle of 120 degrees what must be true about the other two angles A- the sum of the two angles must be equal to 120 degrees. B- the two angles must be the same measure C- the sum of two angles must be 60 degrees
Answers
Answer:
C
Step-by-step explanation:
A triangles sum of all the angles will be 180, so since we already have one as 120, then that least 60. So the sum of the two extra angles has to be 60.
PLZ HELP ITS DUE RN BRAINIEST TO WHOEVER RIGHT!
Answers
Answer:
About -5.8 and -.2
Step-by-step explanation:
Zeros at -5.828 and -.172
can someone please help me
Answers
Answer:
B
Step-by-step explanation:
Since the function calls for you subtracting 1 from the input to the output, B makes sense.
Answer:
B is the correct answer bc
4-1=3
3-1=2
9-1=8
pls help ill give brainliest if correct
pic is attached
Answers
Answer:
option 3
Step-by-step explanation:
Identify the height of a triangke in whixb b = 12 m and A = (18x - 6) m^2
Answers
Answer:
h = (3x − 1) m
Step-by-step explanation:
Eric's team won 20 games last season and James team won 6 games. Which equation will find how many more games Eric's team won than James team?
A.) y + 6=20
B.) 6y=20
C.) y-6=20
D.) Y/6=20
Answers
Answer:
A) y + 6 = 20Step-by-step explanation:
Let the difference is y.
Then it is:
y = 20 - 6Equivalent equation is:
y + 6 = 20Correct choice is A
Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.
Answers
Answer:
not a regular polygon
Step-by-step explanation:
A regular polygon is an n-sided polygon in which the sides are all the same length and are symmetrically placed about a common center
The circumference of a circular garden is 138.16 feet. What is the radius of the garden? Use 3.14 for it and do not round your answer.
Il feet
?
Answers
Answer:
11 feet
Step-by-step explanation:
The radius of the circular garden is approximately 22 feet.
The formula to calculate the circumference of a circle is given by:
C = 2πr
where C is the circumference and r is the radius of the circle.
We are given the circumference as 138.16 feet, so we can set up the equation:
138.16 = 2 * 3.14 * r
To solve for the radius (r), we can rearrange the equation:
138.16 = 6.28r
Dividing both sides of the equation by 6.28:
138.16 / 6.28 = r
r ≈ 22
Therefore, the radius of the circular garden is approximately 22 feet.
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Find the solution to the following system using substitution or elimination:
Please help this is my 5th time asking this question
Answers
C. (1, 10)
10=3(1)+7
10=3+7
10=10
Select the correct answer
A scientist is studying the motion of waves by measuring the distance between the crests and troughs of waves in a particular area. He set up a
series of buoys at equal intervals, and attached a depth detector to each buoy.
After gathering data, the scientist modeled the positions of the buoys at a specific instance with the
given function, where x is the horizontal
distance, in feet, from the first buoy and 1() is the depth of the water, in feet, at that location.
f(3) = 2cos(61) + 13
Select the correct representation of the buoy positions modeled by function f.
Answers
Answer:
i got it right on the test
Step-by-step explanation:
The correct representation of the buoy positions is modeled by function f shown in picture (B) option (B) is correct.
What is cos function?It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
We have:
A scientist studying the motion of waves by measuring the distance between the crests and troughs of waves in a particular area.
The equation he set up:
f(x) = 2cos(πx/8) + 13
As we know the cos function has a maximum value is 1 and a minimum value is -1
The maximum value:
f(0) = 2(1) + 13
f(0) = 2 + 13
f(0) = 15
The minimum value:
f(8) = 2(-1) + 13
f(8) = -2 + 13
f(8) = 11
Thus, the correct representation of the buoy positions is modeled by function f shown in picture (B) option (B) is correct.
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What is the value of x?
Answers
Answer:
Step-by-step explanation:
Calculate the width of it,then add all the sides together.
On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Lucas counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?
67
61
63
65
Answers
Answer:
67
Step-by-step explanation:
There are 65 seats in row 20, option D is correct.
Given that number of seats in row 3 are 31.
Number of seats in row 6 are 37
We need to find the rate of increase, we can calculate the difference in the number of seats between row 6 and row 3 and divide it by the number of rows in between:
Rate of increase = (Number of seats in row 6 - Number of seats in row 3) / (6 - 3)
Rate of increase = (37 - 31) / (6 - 3)
Rate of increase = 2
So, the number of seats increases by 2 seats per row.
To find the number of seats in row 20, we can use the rate of increase:
Number of seats in row 20 = Number of seats in row 3 + (Rate of increase × (20 - 3))
Number of seats in row 20 = 31 + (2× (20 - 3))
= 31 + (2 × 17)
= 31 + 34
= 65
Therefore, there are 65 seats in row 20.
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Bob and his friends went out to lunch.
• They bought 3 sandwiches and 3 bottles of water.
The bottles of water cost $1.50 each.
• The total bill was $30.00.
How much does one sandwich cost if they cost the same amount?
Answers
Answer:
Each sandwich cost 8:50
Step-by-step explanation:
total 30$
total price of the waters 4:50
30-4:50=25:50
25:50÷3=8:50
This is about pi and 25 is NOT the answer. If you choose 25, have a link, an answer that isn't even near the answer to the question (ex. "Hhhhjjhf thank you" isn't a real answer) you will be reported. Thank you guys need explanation for brainliest but is optional.
Answers
Answer: 19.625in
Step-by-step explanation:
3.14*1.25*1.25 = 4.90625
4.90625*4 = 19.625in
Answer: 19.625in
Step-by-step explanation:
Are they similar?
Or not?
Answers
Answer:
They look similar but their not
Step-by-step explanation:
because of their length and
The first triangle is a Scalene because all the side are different and
The second triangle is a isosceles because it has to side of equal length.
Which of the following statements correctly describes the evidence shown by
the structures in the accompanying image?*
Whale
Frog
Porce
Bird
VARROW
O c. The human and the bat share analogous bone structures in their forelimbs
b. Only the human and the frog share homologous bone structures
a. The bat and the frog share analogous bone structures in their forelimbs
d. All the species shown share homologous structures in their forelimbs
All the species shown share analogous
ructures in
forelimbs
O
This is a required question
Answers
Look at this table:
-4
10
81
-3
10
27
10
-2
9
-1
10
3
0
10
Write a linear (y = mx + b), quadratic (y = ax?), or exponential (y = a(b)") function that
models the data.
y =
Answers
Your y=MX+b equation would be y=20/81x+10
Hope this helps!
if 2 bags of nuts cost $5.50, how much will 7 bags cost
Answers
Answer:
$19.25
Step-by-step explanation:
Find the cost of one bag.
5.50/2=2.75
Multiply bag of one by the amount of bags wanted.
2.75*7=19.25
Therefore, the answer is $19.25
Please consider giving a thanks, a good rating, and brainliest! It is very much appreciated! Thanks a lot!
Cost of 7 bag of nut using the unitary method is $19.25
What is Cost?A cost is the value of money that has been used up to produce something or deliver a service
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Cost of 2 bags of nuts = $5.50
Cost of 1 bag of nuts =[tex]\frac{5.50}{2} =2.75[/tex]
Cost of 7 bags of nuts =7×2.75= $19.25
Hence, the cost of 7 bags of nuts is $19.25
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