Answers
Answer:
10:A 11:D
Step-by-step explanation:
10)
g([tex](\sqrt{x+1}^2+3)/(\sqrt{x+1} )[/tex]
rewrite [tex]\sqrt{x+1}^2[/tex] as x +1
g [tex](\sqrt{x+1}^2)[/tex] = [tex]\frac{x+1+3}{\sqrt{x+1} }[/tex]
add 1+3
g[tex](\sqrt{x+1}^2)[/tex]=[tex]\frac{x+4}{\sqrt{x+1} }[/tex]
combine and symplify
[tex]g{\sqrt{x+1} } *\frac{{x+4 (\sqrt{x+1}) } }{{x+1} }[/tex]
reorder factors of the second side
[tex]g{\sqrt{x+1} } *\frac{{\sqrt{x+1} (x+4) } }{{x+1} }[/tex]
take out the root x+1
and you are left with A
11.
f(g(x))
substitue g into f
f([tex]f{\sqrt{x+3} } =\((\sqrt{x+3})^2 +9}[/tex]
rewrite sqrroot x+3 as x+3
[tex]f{\sqrt{x+3} } =\(x+3 +9}[/tex]
Now add 3+9
[tex]f{\sqrt{x+3} } =\(x+12}[/tex]
we get x+12
Now for domain
[tex]f{\sqrt{x+3} } =\((\sqrt{x+3})^2 +9}[/tex]
set the radicand root sqr x+3 >= 0 to find the expression defined
[tex]x+3\geq 0[/tex]
subtract 3 from both sides
[tex]x\geq 3[/tex]
turn it into interval notation
[-3,+∞)
Related Questions
¿Cuántas combinaciones se pueden
hacer con una letra del abecedario
(tiene 27 letras diferentes) y los números
8 y 14?
Answers
Queremos ver cuantas combinaciones diferentes se pueden hacer con una letra del abecedario y los números 8 y 14.
La respuesta es:
Hay 162 combinaciones diferentes.
Primero dejemos la letra fija, asumamos que queremos ver las combinaciones entre la letra A, el número 8, y el número 14.
Tenemos 3 elementos, entonces el número de combinaciones será solo 3 factorial, o:
combinaciones = 3! = 3*2*1 = 6
Hay 6 combinaciones diferentes de esos 3 elementos.
Ahora recordamos que ademas de A hay 26 opciones más, entonces la letra tiene un total de 27 permutaciones posibles. Es decir, el número total de combinaciones va a ser 27 veces lo que obtuvimos arriba:
Total de combinaciones = 6*27 = 162
Hay 162 combinaciones diferentes.
Sí quieres aprender más, puedes leer:
https://brainly.com/question/21591279
Find the average rate of change of f(x)=4x^2-6 on interval [1,a]
Answers
9514 1404 393
Answer:
4a +4
Step-by-step explanation:
The average rate of change of f(x) on the interval is ...
(f(a) -f(1))/(a -1)
= ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)
= 4(a² -1)/(a -1) = 4(a +1) = 4a +4
The average rate of change on the interval is 4a +4.
Rajan had Rs. 6000 in his bank account on a particular day. A week later he deposited Rs.
1500 and next day, he had to withdraw ଵ
ଷ
rd of his total balance. Find his balance amount in
the bank after withdrawal.
step by step plzzz
Answers
Answer:
Step-by-step explanation:
Deposited 60000(debit)
cash 60000(credit)
Deposited 1500(debit)
cash 1500(credit)
debit 61500 credit 61500
Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey?
Answers
Answer:
30
Step-by-step explanation:
6x5
The original price of the jersey is $ 30
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the original price of the jersey be = $ x
The percentage discount on the original price = 20 %
The difference between the original price and the discounted price = $ 6
So ,
By the percentage equation ,
Percentage discount on the original price = difference between the original price and the discounted price
And ,
( 20 / 100 ) of original price = $ 6
On simplifying the equation , we get
( 20/100 ) x = 6
( 1/5 ) x = 6
Multiply by 5 on both sides , we get
x = 5 x 6
x = $ 30
So , the original price of the jersey is $ 30 and the discounted price is $ 24
Hence , the original price of the jersey is $ 30
To learn more about equations click :
https://brainly.com/question/12861068
#SPJ2
Solve pls brainliest!
Answers
Answer:
18 + v = 67
Step-by-step explanation:
v represents Victor's age, and 18 more than it is 67.
Add 18 to Victor's age, resulting in 67.
The equation is 18 + v = 67.
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m
Answers
Answer:
* 2/3 / formula then multiply the numbers then you get the answer
Part 2: Write a rule to describe each transformation
NO LINKS! NO ASSESSMENT!
Answers
Answer:
(x, y) → (x, -y)Step-by-step explanation:
We can see each corresponding point of the figures is mirrored over x- axis.
This is a reflection and the rule is:
(x, y) → (x, -y)Answer:
(x,y) => (x, -y)
Step-by-step explanation:
U in -x, y -> U' in -x, -y(transformation : x to x and y to -y)
T in -x, -y -> T' in -x, y(transformation : -x to -x (stand) and -y to y)
V in -x, y -> V' in -x, -y(transformation : -x to -x (stand) and y to -y)
So The Rule is :
(x,y) => (x, -y)#LearnWithEXO
Why was Yellowstone National Park created?
A. to set aside land for animals as more people moved west
B. to protect bears from humans and other predators
C. to keep different types of animals together in one place
D. to stop people from moving further west
Answers
Answer:
Step-by-step explanation:
The answer is A. to set aside land for animals as more people moved west
Easy HELP
Find the missing measurement:
1 km/1 hr = ? m/1 hr
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
As we know,
1 km = 1000 m
so,
1 km/1 hr = 1000m/1 hr
Each container of Twizzlers holds 105 pieces. Each
student will receive 1 Twizzler with their lunch. If
there are 1250 students in the school, how many
containers does the school need to buy for each
student to receive 1 Twizzler?
Answers
Answer:
The school would need to buy 12 containers for each student to receive 1 Twizzler.
Step-by-step explanation:
1250/105 = 11.9 or 12
8.24 ➗ 2 = 4.12 ones ➗ 2
Answers
Answer:
2.06
Step-by-step explanation:
A movie is 1 3/8 hours long. Write the mixed number 1 3/8 as a decimal.
Answers
Answer:
1 3/8 as a decimal is 1.375
Step-by-step explanation:
It's a terminating decimal.
Order of operations
7 x 18 - 4 + 14
Answers
Answer:
136
Step-by-step explanation:
(7×18−4)+14
(126−4)+14
122+14
136
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 18 by 28 ft brick patio installed.
Answers
Answer:
Exact = 3822
Step-by-step explanation:
2275/(15*20) = cost per square footage which is approx. 7.583
18*28* cost per footage = 3822
[tex]\sqrt50 + \sqrt18\\[/tex]
Answers
Answer:
8\sqrt2=\sqrt128
Step-by-step explanation:
[tex] \sqrt{50} = 5 \sqrt{2} \\ \sqrt{18} = 3 \sqrt{2} [/tex]
please help
Describe what we should do to the graph if we have g(x) = x + a
Answers
Answer:
para saan po yarn anong grade
Pleas help thx need asap!
Answers
Answer: 2
Step-by-step explanation:
Find The value of X in a supplementary angle pair.
Help much appreciated!
Answers
Just think 96+(x-30)=180 degrees you can drop the parenthesis and add 96 with 30 to get 126 then subtract 180 with 126 to get 54 degrees
is the product of 2 numbers always the LCM
Answers
Answer
I guess so.
To find the LCM you need to know the lowest digit as possible.
For example,
Question: What is the LCM of 8 and 6?
Answer: Table of 8: 8, 16, 24, 32, 40,48
Table of 6: 6, 12, 18, 24, 30, 36, 42, 48
Now look at the tables again and, did you see the LCM???......
If so your answer would be 24.
Step-by-step explanation:
-4x - (4 - 3x) + x - 9
Answers
Answer:
5
Step-by-step explanation:
-4x-4+3x+x-9 distributive property
combine like terms which would delete x, so the answer would be 5
Calculate the sum.
29+59
options:
79
718
1845
−39
Answers
Answer:
718
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
88
Step-by-step explanation:
all the options are wrong it is 88
PLEASE HELP ITS MATH THANK YOU
Answers
Answer:
he needs 91 packets of seeds
Step-by-step explanation:
5214 divided by 66 gets 79 and then do 7189 divided by 79 to get 91
How much money will be in an account at the end of 6 years if $8000 is deposited at 7% interest compounded 2 times per year? Assume no deposits or withdrawals are made. HELPPPPPPPPPPPP
Answers
Answer:
$12,088.55
Step-by-step explanation:
$8000(1+(0.07/2))^(2*6)
$8000(1.035)^(2*6)
$8000(1.51106865)
$12088.5492 - exact
$12088.55 - real
Please help me with this i will give you brainlesist
Answers
Answer: 4
pls give brainliest
Li believes that the graph shows a direct variation.
do +
LI
Why is Li incorrect in saying that the graph shows a direct variation?
Answers
Answer:
b. or 2. When the x-value is 0, the y-value is 1.
Step-by-step explanation:
welcome bestie <3.
Write the recursive and explicit formula for the following sequence: -3, -1, 1, 3, …
Answers
It would be +2 so -3+2=-1, -1+2=1, 1+2=3
How much would you need to deposit in an account now in order to have $3000 in the account in 10 years? Assume the account earns 4% simple interest. Round your answer to the nearest cent.
Answers
50,000
hope it helps you
Which pairs of rectangles are similar polygons?
Select Similar or Not Similar for each pair of rectangles.
Answers
-similar
-similar
Answer: it’s actually
A and B: similar
B and C: not similar
A and C: not similar
Step-by-step explanation:
the person below me was actually wrong, i know because i took the quiz ( thx a lot bro got my quiz wrong)
HELP A CHICKEN NUGGET OUT!
What is the value of x−9? 14x−(x+2)=−14 Enter your answer in the box. x−9=
Answers
William Shakespeare wrote 37 plays, including tragedies, comedies , and histories. He wrote the same number of tragedies and histories, He wrote the same number of tragedies and histories , but the number of comedies he wrote is 3 less than twice the number of tragedies. Write the system of equation to find how many of each type of play did Shakespeare write.
Answers
Answer:
10 tragic and histories, and 1y comedies
Step-by-step explanation:
let X = the number of tragedies
let X = the number of histories
2x - 3 = the number of comedies
x + x + 2x - 3 = 37
4x = 40
x = 10
2x - 3 = 2(10) - 3 = 17 comedies.