Step-by-step explanation:
if I understand correctly, then f(x) has the domain of [-1, 1] and the range of [0, 1].
the domain of a function is the interval or set of the valid values of x. and the range is the interval or set of the valid values of y.
the new function we could call g(x) is
y = f(x+2) + 1
so, remember, f(x) is only defined for x values of of [-1, 1].
the argument of f(x) must never be outside that interval, or it is undefined.
the new function now uses f(x) in the form of f(x+2). that means, if we use the same x values as for the original f(x) we would land mostly in undefined areas (only x=-1 would work), because we would use f(x) with argument values from 1 to 3.
how can we regulate this back to the valid interval of -1 to 1 ?
by saying that the domain of g(x) is actually 2 less than the domain of f(x) : [-3, -1]
the "+ 1" at the end changes the range. g(x) has then a range interval that is greater by 1 than the range interval of basic f(x).
so, it is [1, 2]
Safe Combination. The author owns a safe in which he stores all of his great ideas for the
next edition of this book. The safe combination consists of four numbers between 0 and 99. If
another author breaks in and tries to steal these ideas, what is the probability that he or she will
get the correct combination on the first attempt? Assume that the numbers are randomly
selected. Given the number of possibilities, does it seem feasible to try opening the safe by
making random guesses for the combination?
Answer: 1/96059601
Don't break in
Step-by-step explanation:
First we need to find how many combinations there are.
We can find that by multiplying the four different number of options which in this case are all 99.
99 * 99 * 99 * 99
= 96059601
There are 96059601 different combinations and one correct combination.
So, the chance of them getting it is 1/96059601
It is definitely not a nice number so probably don't try and break in.
3x+2=198
Solve it as Soon as possible!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for x ~
[tex]3x + 2 = 198[/tex][tex]3x = 198 - 2[/tex][tex]3x = 196[/tex][tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]Answer:
[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+2=198
Step 1: Subtract 2 from both sides.
3x+2−2=198−2
3x=196
Step 2: Divide both sides by 3.
[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]
Result:
[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]
equation with a variable on both sides that equal 27
Answer:
x +20 = 20 + 4 -x +10 (x =7)Step-by-step explanation:
equation with a variable on both sides that equal 27
x +20 = 20 + 4 -x +10
A polygon has 7 sides. The interior angle measures are 131°, 127°, 134°, 122°, 132°, 120°, and x°. Find the value of x Help ASAP
Please look at the picture for question.
Answer:
Step 1
Step-by-step explanation:
h/0.5 = 7
In step 1, he need to multiply 0.5 on both sides.
Instead, he divided 0.5 to 7 ( i.e ) 7/0.5, This is the mistake.
The correct solution,
Step 1 :
h/0.5 • 0.5 = 7 • 0.5
Step 2 :
h = 14
Holly has 65 stamps in het collection. To expand the collection, she is planning to buy some books of stamps
that have 18 stamps each All of the books cost the same. Holly is not sure yet about the number of
books of stamps she wants to buy, bbut she has enough money to buy up to 5 of them. We a function to
describe how many stamps Holly can buy La x represents the number of books of stamps Holly buys. Find a
reasonable domain and range for the function.
Answer:
i think if she buys 5 books the she will have 90 stamps cuz 1 book cost 18 stamps then 5 books = 18x5=90
Step-by-step explanation:
In one year the Mcallister family jobs their car 50,600 miles to the nearest thousands how many miles did they drive their car that year
Answer:
51,000 thousand
Step-by-step explanation:
the miles are above 500 , 600 so they rounded up to 51,000
Hope that helped :) have a great day !
Answer:
The distance driven by the McAlister family car in one year, to the nearest thousand, is 51,000 miles
Simplify: (1 – 8) – (2 – 9).
________
[tex] \: [/tex]
(1 - 8) - (2 - 9) = ...
= (-7) - (-7)
= -7 + 7
= 7 - 7
= 0
Simon bought a $48 table on sale at 30% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression
A)0.003(50)
B)0.3(50)
C)3(50)
D)30(50)
Explain, please!
Answer:
The answer is B. Hope this helps!
who can prove 2+2=5
Answer:
saya tidak ingin mengatakannya tapi kalian akan menjadi gila ya
Answer:
i can see a really tiny 0.5 next to both of them
2.5+2.5=5
tadaaaaa
Step-by-step explanation:
What is the sum of the numbers
1*2+2*3+.....n(n+1)
Answer:
8+n²+n
Step-by-step explanation:
Simplfy the expression
An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?
The temperature in the production department is 21°C at 12 noon. If
the temperature increases 1.5° C every hour, what will the temperature
be at 5 pm?
28.5 (I don't know if this is fully correct)
a 16 cup of carton of ice cream cost $12 .00. what is price
Answer:
Price for what?one cup or?
PLEASE HELP 20 POINTS
What is the value of the expression 5(6/12-1/4) + 0.5
Answer:
5/8
Step-by-step explanation:
First you need to reduce the fractions then you choose a common denominator to calculate:6/12=1/2 then you see the you see 1/4 can be a common denominator so you equal 1/2 to the denominator by 4, which means multiplying 2 by both the numerator and denominator, we get 2/4 after that you add and subtract in parentheses and you will get 1/4 then you multiply by 5 to get 5/4 the finally you have to plus 0,5 you will get 7/4 done.
what is the important variable in the problem?
Gary had a pizza party for his friends 14 people showed up, and they had 50 pieces of pizza. How many pieces of pizza did each person have?
Answer:
3
Step-by-step explanation:
each friend would have 3 pizzas
what would the answer be for:
2 −5−24.
with full steps.
If Dylan does a job in 50 hours and Kristen does a job in 75 hours, how long will it take them to do the job
together?
What is the range of the relation graphed below?
Answer:
a
Step-by-step explanation:
A customer buys a different DVD that has an original selling price of $28. The DVD is discounted by 15%. The customer must pay a 5% sales tax on the discounted price of the DVD.
What is the total amount, in dollars, the customer pays for the discounted DVD?
answer is 27.2$ of all pay
The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False
9514 1404 393
Answer:
B. False
Step-by-step explanation:
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
There is nothing in the diagram to require the triangles be congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ7
The governor of state A earns $51,615 more than the governor of state B. If the total of their salaries is $291,335, find the salaries of each.
Answer:
A = $171,475, B = $119,860
Step-by-step explanation:
A represents the salary of the governor of state A.
B represents the salary of the governor of state B.
A is $51615 larger than B, so you get the equation:
A = B + 51615
The total of the two salaries is $291335, so you can the second equation:
A + B = 291335
Using the first equation, substitute the quantity (B + 51615) for A in the second equation.
(B + 51615) + B = 291335
2B + 51615 = 291335
2B = 239720
B = 119860
Plug this value of B back into either of the equations.
A = B + 51615 = 119860 + 51615 = 171475
g(x) = -x + 2, find g(5)
Answer:
-3
Step-by-step explanation:
-(5)+2 = -3
Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2
Answer:
A.) 6a^3 + 12a^2 - 15a
Step-by-step explanation:
Area = w * l
Area = 3a(2a^2 + 4a - 5)
Area = 6a^3 + 12a^2 - 15a
Hamid needs to find the height of a parallelogram. The base is 3 inches long and the area is 30 square inches. What is the height?
Step 2 of 2: Finally, solve the problem by substituting in the appropriate values. (Round your answer to 2 decimal places if necessary.)
Answer:
the height is 10 inches
Step-by-step explanation:
area of a parallelogram is base times height
3h=30
divide both sides by 3
h=10
Answer:
area is base times height the base us 3 inches the area is 30 inches 3 times 10 is 30 so 10 is the height
PLEASE HELP MEEEE!!!!!!!!!
Answer:
a) 1,144 rad/min
b) 182.1 rev/min
Step-by-step explanation:
d= 24 inches
radius = 24/2 or 12 inches
speed = 13mi/h
need to convert speed to inches/min
v = Θ * r
1 mile = 63360 inches, and 1 hour = 60 min
13 mi * (63360 in / mi)
= 823680 in / (1 hr * 60 min / hr)
=13728 in/min
Now go back to the equation
13728 in / min = ω * 12 in
13728 /12 = Θ
1,144 rad/min
b) 1 revolution = 2π
w= Θ/2π
w= 1,144rad/ min/2pi rad
w= 182.1 rev/min
How are congruent angles and congruent segments similar?
A wheel on Ruben’s bicycle is 1.5 ft in diameter. Reuben races the bicycle for 155 ft. How many times does the wheel turn as the bicycle travels this distance? Use the value 3.14 for ㅠ. Round your answer to nearest tenth. Do not round any intermediate steps.
Answer:
32
Step-by-step explanation:
1.5 × 3.14 =4.71
155÷4.71=32.909
so,answer is 32
This is K12 in sixth grade
The committee is planning a party and 150 guests are expected. Each table seats 12 people.
How many tables will be needed to seat all 150 guests?
12
13
162
1800
Answer:
13
Step-by-step explanation:
divide 150 by 12
the answer is 12.5
round 12.5
;)
Which sums and/or differences equal 14? Check all that apply.
Answer:
What's the choices??
Step-by-step explanation:
