[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf{f(x) = x - 3}[/tex][tex] \sf f(g(x)) = g(x) - 3[/tex][tex] \sf{f(g(x)) = ({x}^{2} + 1}) - 3[/tex][tex] \sf{f(g(x)) = {x}^{2} - 2}[/tex]you can further simplify to get ~
[tex] \sf{(x + \sqrt{2} )(x - \sqrt{2} )}[/tex]The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?
You can use the definition of a function to classify which mapping is a function and which mapping is not a function.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
What is a function?There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.
Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.
So, for a mapping to be function, we need each input to be mapped to only one output.
Using above definitionFor group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.
For group 2, we see that each input has only one output, thus,this group represents a function.
Remember that we assumed that the pair of points were written as
(input, output)
Thus.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
Learn more about functions here:
https://brainly.com/question/13395697
David has a checking account at City center Bank. During the month of April, he made deposits totaling $985.89 and wrote checks totaling $454.27 .He paid a maintenance fee of $18 and earned $2.95 in interest. His balance at the end of the month was $3,005.32. What was the balance at the beginning of April?
the graph shows the volumes of petrol and diesel delivered in the Uk between 1970 and 2012
Answer:
whats the question.
Step-by-step explanation:
Need an answer right away for many points! I will report if it is not applicable.
Answer:
I don't know
Step-by-step explanation:
plus all of them = Answer
Answer:
Step-by-step explanation:
False Line of symmetry is x = -1
False The maximum of f(x) = 3
we can find the maximum of f(x) by putting it in vertex form (y - 3) = - 1(x + 7)² which tells us that the vertex is at (-7, 3)
True -7 < -1
PLS HELP ON GEOMETRY: select all the true statements
Answer:
E
Step-by-step explanation:
Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40%
chance of him selling a candy bar at each house. He has to sell 5 candy bars in all. Let X be
of number of houses it takes.
i. Name distribution (with parameter(s)) of X.
ii. What is the probability he sells his last candy bar at the 11th house?
iii. What is the probability of Pat finishing on or before the 8th house?
Probabilities are used to determine the chances of events.
The given parameters:
[tex]n = 5[/tex] ---- the number of candy bars
[tex]p = 40\%[/tex] ---- the probability of selling a candy bar
(a) Name distributions
The distribution of X is represented as:
[tex]X \sim(r,p)[/tex]
Where:
[tex]r = 5[/tex]
[tex]p= \frac{5\times 40\%}{10}[/tex]
[tex]p= 0.2[/tex]
So, the name distribution of X is [tex]X \sim(r= 5,p = 0.2)[/tex]
(b) The probability that the last candy is sold at the 11th house
This means that:
[tex]n = 10[/tex] --- the number of previous houses
[tex]r = 4[/tex] --- the previous number of candies
[tex]p = 0.4[/tex] --- the given probability of selling a candy
The probability is calculated using:
[tex]P(x = n+1) = ^{n}C_r \times p^{r +1} \times (1 - p)^{n-r}[/tex]
This gives
[tex]P(x = 10+1) = ^{10}C_4 \times 0.4^{4 +1} \times (1 - 0.4)^{10-4}[/tex]
[tex]P(x = 11) = ^{10}C_4 \times 0.4^{5} \times (0.6)^6[/tex]
[tex]P(x = 11) = 210 \times 0.4^5 \times 0.6^6[/tex]
[tex]P(x = 11) = 0.1003290624[/tex]
Approximate
[tex]P(x = 11) = 0.1003[/tex]
Hence, the probability that the last candy is sold at the 11th house is 0.1003
(b) The probability he sells the candies on or before the 8th house
The probability is calculated using:
[tex]P(x \le 8) = P(5 \le x \le 8)[/tex]
This gives
[tex]P(x \le 8) = ^{10}C_5 \times 0.4^{6} \times (0.6)^5 + ^{10}C_6 \times 0.4^{7} \times (0.6)^4 + ^{10}C_7 \times 0.4^{8} \times (0.6)^3 +^{10}C_8 \times 0.4^{9} \times (0.6)^2[/tex]
[tex]P(x = 11) = 0.1737[/tex] ---- approximated
Hence, the probability he sells the candies on or before the 8th house is 0.1737
Read more about probabilities at:
https://brainly.com/question/251701
A.
x y
0 3
1 5
2 7
3 9
4 11
B.
x y
0 0
1 6
2 12
3 18
4 24
C.
x y
0 0
1 -3
2 -6
3 -9
4 -12
D.
x y
0 1
1 3
2 6
3 10
4 15
Which table(s) show x and y in DIRECT PROPORTION?
A)A and B only
B)B and C only
C)C and D only
D)D and A only
Answer:)
Step-by-step explanation:
what is the point slope equation of the line that has a slope of 1/8 and goes through the point (2,-3)
Answer:
Step-by-step explanation:
(y + 3) = (1/8)(x - 2)
What expression is equivalent to 8t-18-20t+14
Answer:2(4t-9-10t+7) is answer and for the next it 2(-6t-2)
The position of a 2 kg object is given as x(t) = Bt2 +5, where x is in meters and t is in seconds. (a) Determine the force F responsible for this motion. (3) (b) If the force only results in a change in the kinetic energy of the object of 200 J between tı = 0 s and t2 = 5 s, determine the value of B. (3) (C) Without using kinematics (equations of motion), determine the displacement of the object during these 5 seconds referred to in part (b). (2)
(a) Given the position function
x(t) = (B m/s²) t² + 5 m
it's clear that the object accelerates at B m/s² (differentiate x(t) twice with respect to t), so that the force exerted on the object is
F(t) = (2 kg) (B m/s²) = 2B N
(b) Recall the work-energy theorem: the total work performed on an object is equal to the change in the object's kinetic energy. The object is displaced by
∆x = x(5 s) - x(0 s)
∆x = ((B m/s²) (5 s)² + 5 m) - ((B m/s²) (0 s)² + 5 m)
∆x = 25B m
Then the work W performed by F (provided there are no other forces acting in the direction of the object's motion) is
W = (2B N) (25B m) = 50B² J = 200 J
Solve for B :
50B² = 200
B² = 4
B = ± √4 = ± 2
Since the change in kinetic energy and hence work performed by F is positive, the sign of B must also be positive, so B = 2 and the object accelerates at 2 m/s².
(c) We found in part (b) that the object is displaced 25B m, and with B = 2 that comes out to ∆x = 50 m.
Help plz I don’t get it
Answer:
x = 15
Step-by-step explanation:
you divide 15 by 3 first because of pemdas
15 divided by 3 = 5
4 + 5 = 9
Mrs. Heath baked 56 cookies. She put an equal number of cookies into 7 bags. How many cookies did she put in each bag?
Answer:
8
Step-by-step explanation:
you have to divide 56 by 7 and you will get 8.
Answer:
8
Step-by-step explanation:
You're dividing the 56 cookies into 7 bags, so you write 56 ÷ 7 = 8
14 14) Write an expression for the perimeter of a
rectangular room with sides x + 4 and
2x - 3
f
A) 3x + 7
C) 6x + 2
B) 3x + 1
D) 6x + 12
Check the picture below.
Convert the equation to polar form. (Use variables r and as needed.)
x2 − y2 = 12
In converting to polar coordinates, we take
x = r cos(t)
y = r sin(t)
Then in the given equation,
x² - y² = 12
(r cos(t))² - (r sin(t))² = 12
r² cos²(t) - r² sin²(t) = 12
r² (cos²(t) - sin²(t)) = 12
r² cos(2t) = 12
r² = 12 sec(2t)
what is -6 - 2=
A. 8
B. -4
C. -8
D. 4
Alyssa’s bank charges $0.15 for each check written, $0.25 per ATM transaction, and a monthly fee to maintain a checking account. The table shows Alyssa’s checking account activity for December.
HLEPPPP huryyyyyyy
Answer:
Correct answer: 2.25
What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is compounded monthly
Answer:
Well the answer would be 865,920. Hope this helped! this is the way i learned it so if its wrong i'm super sorry!
Step-by-step explanation:
I = p x r x t
I = 82,000 x 8 x 11yrs
BUT WAIT! this is MONTHLY, so convert 11 x 12 = 132 and then move 8 back 2 spaces = 0.08 so the correct equation is
I = 82,000 x 0.08 x 132
I = 865,920
A circle with radius of 9 cm sits inside iſ circle with radius of 11 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth
Answer:
Step-by-step explanation:
it is two left night
2. In a class 70 students, 44 like Bookkeeping, 36 like- Commerce, and 17 like both bookkeeping and commere How many student like both book keeping and commerce?
Answer:
17
Step-by-step explanation:
you said that in the problem lol
Answer:
17 like both bookkeeping and commerce
Step-by-step explanation:
The problem statement itself tells you ...
"17 like both bookkeeping and commerce"
calculate the exact value of (5/12-11/13)/3/26
Answer:
-67/12168
Step-by-step explanation:
(5/12-11/13)/3/26 Find the least common denominator to get
65/156 - 132/156 = -67/156
-67/156 /3 /26 multiply -67/156 by 1/3 to get -67/468
-67/468 /26 multiply -67/468 by 1/26 to get 12168
-67/12,168
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
I think D because CBD is half of ABC
Step-by-step explanation:
If I am wrong I appologize
I need help ASAPPP this is very important
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
what is the eight term of the arithmetic sequence defined by the rule A(n)=-12+2(n-1) RIGHT ANSWER ONLY
Answer:
a₈ = 2
Step-by-step explanation:
Substitute n = 8 into the nth term rule
A(8) = - 12 + 2(8 - 1) = - 12 + 2(7) = - 12 + 14 = 2
Find the value of x.
Answer:
Step-by-step explanation:
The top left angle is 55 (alternate interior angles).
x + 100 + 55 = 180 All triangles are made up of 180 degrees
x + 155 = 180 Subtract 155 from both sides.
x = 180 - 155 Combine
x = 25
Hence, 'x = 25°' is the value of 'x'
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
2/7>b+5/7 solve the inequality
[tex]\dfrac 27 >b +\dfrac 57\\\\\implies 2 > 7b +5~~~;[ \text{Multiplying both sides by 7}]\\\\\implies 2-5>7b\\\\\implies -3>7b\\\\\implies -\dfrac 37 >b\\\\\implies b<-\dfrac 37\\\\\\\text{Interval,}~ \left(-\infty, -\dfrac 37 \right)[/tex]
( I will give brainliest! ) What is the simplified expression of
4x + 2(3x + 7) - 7x?
Answer:
[tex]3x + 14[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2(3x + 7) - 7x[/tex]
[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]
[tex]4x + 6x + 14 - 7x[/tex]
Step 2: Combine like terms
[tex]4x + 6x + 14 - 7x[/tex]
[tex](4x + 6x - 7x) + 14[/tex]
[tex]3x + 14[/tex]
Answer: [tex]3x + 14[/tex]
Write 0.4 as a fraction in simplest form. Please explain step by step to get marked as brainliest!
Answer:
2/5
Step-by-step explanation:
0.4 x 10/10
= 4/10 divide by 2
=2/5
License plates in a particular state display 3 letters followed by 3 numbers. How many different license plates can be manufactured? (Repetitions are allowed.)
Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence [tex]n_1 = n_2 = n_3 = 26[/tex].For the 3 numbers, there are 10 outcomes, hence [tex]n_4 = n_5 = n_6 = 10[/tex]Then:
[tex]N = 26^3 \times 10^3 = 17576000[/tex]
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at https://brainly.com/question/24314866
HELP!!!! I need help
Answer:
1 Tenths = 10 Hundredths
10.74 - 10.60 = 0.14
0.14 = 14 hundredths
Thus, you need 10 ones, 6 tenths and 14 hundredths to make 10.74.
a fancy beaded bracelet requires 3 and 1/4 in of string for everyone in of the length of the bracelet if you were to make a bracelet that is 7 1/2 in long how much string would you need
Answer:
I'm going to call the length of the bracelet the number of times you have to add to get back to the first bead. This is the same as the number of beads, except in one case:
The shortest bracelet has length 1 and starts with (0,0). If you add one time, you get back to the first 0. But the bracelet has two beads. (Every bracelet has to have at least two beads to start.)
The next shortest bracelet starts with (0,5), and has length 3:
0 5 5
There is a bracelet of length 4 that starts with (2,6) (the first example on the main page):
2 6 8 4
There is a bracelet of length 12 that starts with (1,3) (the second example on the main page):
1 3 4 7 1 8 9 7 6 3 9 2
There is a bracelet of length 20 that starts with (0,4)
0 4 4 8 2 0 2 2 4 6 0 6 6 2 8 0 8 8 6 4
There is a bracelet of length 60 that starts with (0,1)
(I'll let you have the fun of writing all the beads.)
Step-by-step explanation: