The function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]
The functions are given as:
[tex]f(x) = log_2(x) + 2[/tex]
[tex]g(x) = log_2(x^3) - 4[/tex]
(a) Function h(x)This is given as:
[tex]h(x) = f(x) + g(x)[/tex]
So, we have:
[tex]h(x) = log_2(x) + 2 + log_2(x^3) - 4[/tex]
Collect like terns
[tex]h(x) = log_2(x) + log_2(x^3)+ 2 - 4[/tex]
[tex]h(x) = log_2(x) + log_2(x^3)- 2[/tex]
Apply law of logarithm
[tex]h(x) = log_2(x \times x^3)- 2[/tex]
[tex]h(x) = log_2(x^4)- 2[/tex]
Apply law of logarithm
[tex]h(x) = 4log_2(x)- 2[/tex]
Hence, function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]
(b) System of nonlinear equationsThe equations are not given.
So, the question cannot be solved
Read more about composite functions at:
https://brainly.com/question/10687170
show the solution for the inequality 2x+5<8
Answer:
2x<8-5(collect the like terms)
2x< -3
divide both sides by 2
x < -3/2
Answer:
x = 1.5
Step-by-step explanation:
2x + 5 < 8
-5 -5
2x/2 = 3/2
x = 1.5
Jessica says she’s thinking of two numbers. They are 24 units apart on the number line, and they are opposites. What are the two numbers?
Answer:
12, -12
Step-by-step explanation:
24/2 = 12
If AABC ~ AZXY, A = 60°, and B = 85°, what is Y?
=
Answer:
45
Step-by-step explanation:
A wallet contains 6 five dollar bills and 4 one dollar bills. Two bills are randomly selected (without replacement) and their total is noted. List the possible values for the random variable X = TOTAL value of the two bills you might select. Then determine the probability that each of these totals might occur: Find the expected value (mean) for the total value of the two bills selected: $____________________________ () =μ = ∑( · ()) Gain, x P(x)
Answer:
See if this works for you
Step-by-step explanation:
Which is a better statistical question to ask your classmates if you are interested in finding out about the books sixth-graders enjoy reading?
A. What is the title of the book you read most recently?
B. What are five of your favorite books?
Answer:
B. What are five of your favorite books?
Answer:
B. What are five of your favorite books?
This way, you'll be able to find out what genres the sixth graders enjoy reading the most, because there is some variability in the answers, other than just guessing the genre they like with the title of one book.
evaluate (mn)(x) for x= -3
(mn)(-3) =
Answer:
-3mn
Step-by-step explanation:
What is the sum if −146.082 is added to the difference of 197 and 101.82?
Answer:
-50.902
Step-by-step explanation:
197-101.92=95.18.
Subtract 146.082 from 95.18, as you are adding a negative number, which means to subtract 146.082.
Hope this helps!
The 2 figures are similar. Robert uses the proportion GH/PQ = GK/RQ to find RQ. What is roberts error? What proportion should he have used?
Answer:
Robert's error was dividing it by the other model. The formula he should have used was, "GK/KL = PQ/RQ"
Step-by-step explanation:
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
x y
4 7
5 -1
6 -9
What is the answer for x
5x = 20
Answer:
4
Step-by-step explanation:
divide each side by 5 to isolate x. 20/5 is 4
Step-by-step explanation:
5x = 20[tex]x \: = \: \frac{20}{5} \\ x \: = \: 4[/tex]
Hope it can help you..
40 as a percentage of 250?
Step-by-step explanation:
16 percent
Solving our equation for P
P% = Y/X
P% = 40/250
p = 0.16
Convert decimal to percent:
P% = 0.16 * 100 = 16%
A hiker drops a pebble from a bridge 240 feet above a canyon. The polynomial
- 16t² + 240 gives the height of the pebble t seconds after it was dropped. Find the
height when t = 3.
Answer:
96
Step-by-step explanation:
The equation of line P is Y equals -7 divided by X +6 line Q is perpendicular to pee what is the slope of line Q
What is the volume of the cylinder below?
Answer: i dum BTW I DONT THINK SOMEONE FOUND THIS HELPFUL IN LIKE 10 SECONDS IT HAS NO MAHTS
Step-by-step explanation: no
10. Jack earned $112 in 8 hours.
How much did he earn per hour?
Answer:
Jack earned $14 per hour.
Step-by-step explanation:
$112 in 8 hours
So 8x = 112
To find x, 1 hour, we divide 112 by 8
8x = 112
x = 112/8
x = 14
-Chetan K
Answer:
jack will earn 14$ per month
Step-by-step explanation:
Please helpppppppppppppppppppppppppppppp
Answer:
29 meters per second
Step-by-step explanation:
That is the answer
Part II.
1. Tara lives in a state where there is no sales tax. She bought 7 tacos and paid with a $20 dollar bill.
Her change was $9.50
a. Define the variable and represent the situation with
an equation:
b. Solve this equation using a graph.
c. Explain how you obtained the answer from the graph.
lanton comnuter. She already has
Answer:
7
Step-by-step explanation:
HELP ME PLEASE! | Khan Academy | ILL GIVE BRANLIEST
Answer:
(A) -8c + 6Step-by-step explanation:
[tex]2( - 6c + 3) + 4c \\ 2( - 6c) + 2(3) + 4c \\ - 12c + 6 + 4c \\ - 12c + 4c + 6 \\ - 8c + 6 \\
Help help help please please
Answer:
[tex]4^6[/tex]
Step-by-step explanation:
We have a simple formula to follow:
[tex]a^{b} * a^d = a^{b+d}[/tex]
So the new equations is:
[tex]4^{-3+9} = 4^6[/tex]
The answer is [tex]4^6[/tex]
-Chetan K
Answer:
4^6
Step-by-step explanation:
please mark me as brainlest
write as a decimal forty seven thousands
Answer:
47.000 is the answer for forty seven thousands I thinj
[tex]\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {Answer:}}}[/tex]
[tex]47.000 \: would \: be \: the \: answer[/tex]
[tex]\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {ChaEunWoo2009}}}[/tex]
#CarryOnLearning
C-5/c+4=3/2 please solve
Answer:
c=2
Step-by-step explanation:
Firstly you should cross multiply. By doing that, we get:
2(c-5)=3(c-4)
Then, expand:
2c-10=3c-12
Then simplify.
-c-10=-12
-c=-2
c=2
jillian and kalvon and running a race jillian is tunning 12 feet per second . kalvon is running 6 feet per second . kalvom starts 30 feet in front of jillian . at what rate does jillian catch up to kalvon
Find three different fractions between 1/4 and 1/2. (They must not be equivalent fractions).
Answer:
1/3 2/5
Step-by-step explanation:
I don't know how to explain it here 2
5(2x / 3y) how solve
Answer:
30xy
Step by step explanation:
If I make $10 an hour, how much money will I make per every 1 minute?
Answer:10/60
=0.1666666666666666666p
Approximately
0.17
Step-by-step explanation:
A lumber company is able to clear about 3 acres of dense forest each day. Assuming that, on average, each acre of forest contains 311.5 large sized trees, what is a good estimate of the number of large trees that the company could clear in 7 days?
A.
1,800 trees
B.
12,600 trees
C.
6,300 trees
D.
10,500 trees
Butter Crate Snacks sends a selection of treats in the mail each month. Sidney bought a 4-month subscription for a friend. She used a one-time coupon and received $8 off the total cost. Sidney paid $40 in all. How much does each month normally cost?
Cost without coupon=40+ 8=$48
Total months=4
Cost of each month:-
[tex]\\ \sf{:}\dashrightarrow 48/4[/tex]
[tex]\\ \sf{:}\dashrightarrow 12\$[/tex]
The monthly cost of of the subscription without applied coupon is 12 dollars.
What is unitary method ?Unitary method is a mathematical technique for first finding the value of a single unit then deriving the given unit by multiplying with it.
According to the given question Butter Crate Snacks sends a selection of treats in the mail each month and Sidney bought a 4-month subscription for a friend.
She used a coupon of 8 dollars and the price she paid with coupon applies is 40 dollars.
∴ Price without the coupon is (40 + 8) dollars.
= 48 dollars.
So, 4 months of subscription costs 48 dollars.
∴ 1 month of of subscription will cost 48/4 dollars.
= 12 dollars.
learn more about unitary method here :
https://brainly.com/question/20349467
#SPJ2
PLZZZZZZ HeLp
First aid training isn't necessary for fitness center staff because it's more important to rely on professional paramedics. True or False
Answer:
Its False
Step-by-step explanation:
i hope its right
Which symbol correctly compares these fractions?
−13/15□−5/6
>
<
=
Find the size of angle