Answer: (-∞,-1) ∪ (0,+∞)
Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.
In this case, fog(x) means:
fog(x) = f(g(x))
fog(x) = [tex]3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4[/tex]
[tex]fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4[/tex]
[tex]fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4[/tex]
[tex]fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}[/tex]
[tex]fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}[/tex]
[tex]fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}[/tex]
This is the function fog(x).
The domain of a function is all the values the independent variable can assume.
For fog(x), denominator can be zero, so:
[tex]x(x^{2}+x) \neq 0[/tex]
If x = 0, the function doesn't exist.
[tex]x^{2}+x \neq0[/tex]
[tex]x(x+1) \neq0[/tex]
[tex]x+1\neq0[/tex]
[tex]x\neq-1[/tex]
Therefore, the domain of this function is: -∞ < -1 or x > 0
6 more than the product of 5 and a number.
Answer:
6+ 5n
Step-by-step explanation:
Answer:
My answer to the question is 6>5n.
write slope-intercept form of the equation of the line described.
through(5,4), parallel to y=(1/5)x-5
Answer:
y = 1/5x + 3
Step-by-step explanation:
parallel lines have the same slope
y = 1/5x + b
4 = 1/5(5) + b
4 = 1 + b
b = 3
y = 1/5x + 3
y = wx ± zx, solve for x
Answer: x = y/w+z
Step-by-step explanation:
POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! 2 QUESTIONS!!
9. Which compound inequality represents the inequality 3|y + 7| − 16 > 5?
A) y + 7 < −7 OR y + 7 > 7
B) y + 7 > −7 AND y + 7 < 7
C) y + 7 < −7 AND y + 7 > 7
D) y + 7 > −7 OR y + 7 < 7
12. What equation could be used to represent the verbal representation below?
Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
A) 10A=44
B) 10A=300
C) 10A=44+300
D) 10A=300-44
Answer:
9.(A) y + 7 < −7 OR y + 7 > 7
12.(C) 10A=44+300
Step-by-step explanation:
What is 1,872.072 rounded to the nearest hundredth?
Answer:
1872.07
Step-by-step explanation:
2 rounds down so... 0.07
1872.07
Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.
A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.
Answer:
which times could Rory's phone have been plugged into the charger? Select three options.
6 hours
9 hours
11 hours
14 hours
19 hours
Step-by-step explanation:
I am not sure if this is the anwer but i think it is
The answer is 9, 11, 19.
-
Got it right on edge :))
Please help ASAP! Thank you<3
Answer: I believe its 2
Step-by-step explanation:
Start on the top, 4 squared is 16, then divided by two is 8, plus 6 is 14, then on the bottom 4+3 equals 7 so then you get, 14/7 and that equals 2.
hope this helps
For the equation: -1 -5(4+6x) = 5(1 - 6x) – 26, what is the value of x?
HEY MATE HERE IS YOUR ANSWER.
PLEASE MARK ME AS A BRAINLIEST......
The U.S department of Agriculture reported that 45 out of every 115 milk drinkers drink skim milk. If a store owner orders 23 gallons of milk, how many should be skim
Answer:
8.99999999998
Step-by-step explanation:
45:115::_:23
The ratio between 45 and 115 is 2.55555555556 so 23 divied by that is 8.99999999998
Express 81 as the sum of first nine consecutive odd numbers
Answer:
see explanation
Step-by-step explanation:
The sum of the first 9 consecutive odd numbers is
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81
Answer: 1+3+5+7+9+11+13+15+17=81
Step-by-step explanation:
The sum of the first 9 consecutive odd numbers is
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81
Wilma has 21 coins in her pocket made up of dimes and quarters. If the total value of the coins is $3.45, how many of each coin does she have?
Answer:
x = 12
y = 9
12 coins of dimes
9 coins of quartes
Step-by-step explanation:
x ---> coins of dimes
y ---> coins of quartes
x + y = 21
0.1x + 0.25y = 3.45 * 100
x + y = 21 L1
10x + 25y = 345 L2
x = 21 - y
Reemplace in L2
10(21 - y) + 25y = 345
210 - 10y + 25y = 345
15y = 345 - 210
15y = 135
y = 9
x = 21 - y
x = 21 - 9
x = 12
there are 300 window for b buildings. assuming there is an equal number of windows per building, how many windows does each building have
Answer:
[tex] x = \frac{300}{b} [/tex]
Step-by-step explanation:
We are given that, "b" number of buildings has 300 windows.
Let b represent the number of buildings.
Let x represent the number of windows per building.
Thus, the following equation can be used to expressed the number of windows for b buildings:
Number of buildings*number of windows per building = 300 windows
[tex] x*b = 300 [/tex]
The number of windows each building has would be:
[tex] \frac{x*b}{b} = \frac{300}{b} [/tex]
[tex] x = \frac{300}{b} [/tex] windows per building
What would be the fourth and fifth figures? How many dots will be in the 100th figure?
Answer:
4th=8 dots
5th=10 dots
100th=200 dots
Step-by-step explanation:
Since you’re adding two dots each time, it will always bed double the figure number.
4th=8 dots
5th=10 dots
100th=200 dots
Answer:
The fourth figure is 8 Dots
The fifth figure is 10 Dots
The hundredth figure will be 200 Dots
Step-by-step explanation:
The figure dots increase by two so we multiply the dot number by the amount of increase
which means
The Fourth figure have 4 dots so 4 × 2=8
The Fifth figure have 5 dots so 5 × 2 =10
The hundredth figure have 100 dots so 100 × 2 =200
Hope u like it ❤️
comment me for any question
What is (-3/4)x(7/8)
Is 1+4(3x-10)-12x equivalent to -39
Answer:
No solution-40 =38Step-by-step explanation:
[tex]1+4\left(3x-10\right)-12x=39\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+4\left(3x-10\right)-12x-1=39-1\\\\Simplify\\4\left(3x-10\right)-12x=38\\\\\mathrm{Expand\:}4\left(3x-10\right)-12x:\quad -40\\-40 =38\\\\The \:sides\: are\: not\: equal \:so\\\mathrm{No\:Solution}[/tex]
Can someone help with this I don’t understand
Answer: see below
Step-by-step explanation:
3x-12=7x+8 ⇔ given
-12=4x+8 ⇔ addition property of equality
-20=4x ⇔ subtraction property of equality
x=-5 ⇔ division property of equality
-----------------------
5(x-1)=4x+13 ⇔ given
5x-5=4x+13 ⇔ distributive property
x-5=13 ⇔ subtraction property of equality
x=18 ⇔ addition property of equality
If a rectangular shopping cart basket is 31 inches long, 19.5 inches wide, and 20 inches high, what is the volume of the shopping cart basket?
Answer:
12,090
Step-by-step explanation:
multiply 31*19.5*20
Answer:
12,090 inches
Step-by-step explanation:
volume is length x width x height, so all you have to do is multiply all the numbers by each other (31 x 19.5 x 20)
4. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 5. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
Answer:
See below.
Step-by-step explanation:
4)
So we have the function:
[tex]g(y)=7-6y[/tex]
And we want to find:
[tex]g(s+1)[/tex]
So, substitute y for (s+1):
[tex]g(y)=7-6y\\g(s+1)=7-6(s+1)\\[/tex]
Distribute:
[tex]g(s+1)=7-6s-6[/tex]
Subtract:
[tex]g(s+1)=-6s+1[/tex]
5)
So we have the function:
[tex]h(t)=t^2-2t[/tex]
And we want to find:
[tex]h(x-3)[/tex]
So, substitute t for (x-3):
[tex]h(t)=t^2-2t\\h(x-3)=(x-3)^2-2(x-3)[/tex]
Square and distribute:
[tex]h(x-3)=(x^2-6x+9)+(-2x+6)[/tex]
Combine like terms:
[tex]h(x-3)=(x^2)+(-6x-2x)+(9+6)[/tex]
Add:
[tex]h(x-3)=x^2-8x+15[/tex]
And those are our answers :)
please help i don’t know how to do this
Answer: A
Step-by-step
simplify -16 + 9 - (-2) + (-5)
A. 0
B. -10
C. -14
D. -28
Answer:
B. -10Step-by-step explanation:
[tex]-16 + 9 - (-2) + (-5)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-16+9=-7\\\\=-7-\left(-2\right)+\left(-5\right)\\\\=-7+2+\left(-5\right)\\\\-7+2=-5\\\\=-5+\left(-5\right)\\\\=-10[/tex]
B. - 10
Step-by-step explanation:Hi there !
-16 + 9 - (-2) + (-5) =
- (-) = +
+ (-) = -
= - 16 + 9 + 2 - 5
= - 10
Good luck !
which are composite numbers?
49
35
32
41
47
Answer:
49, 35 and 32 are composite and the rest are orime numbers
Answer:
[tex] \boxed{ \bold{ \huge{\boxed {\sf{49 \: , \: 35 \: , \: 32}}}}}[/tex]
Step-by-step explanation:
Composite numbers are whole numbers that can be divided by numbers other than itself and 1.
Among 49 , 35 , 32 , 41 and 47,
: 49 , 35 and 32 are composite numbers.
49 is a composite number as it comes in the multiplication table of 1 , 7 and 49 . So, this means it comes in the table of more than 2 numbers. 35 is a composite number as it comes in the multiplication table of 1 , 5 , 7 and 35.32 is a composite number as it comes in the multiplication table of 1 , 2 , 4 and 16. 41 is not a composite but a prime number as it comes in the multiplication table of only 1 and 41 [ 1 and itself ] 47 is not a composite but a prime number as it comes in the multiplication table of only 1 and 47 [ 1 and itself ]Hope I helped!
Best regards!!
3+27:(-3)
helpppp pleaseee
Answer:
30
Step-by-step explanation:Just put it
Stuck on this 6/9 times 3
Answer:
2
Step-by-step explanation:
6/9 * 3
First you can either simplify this to make it easier or directly multiply. Simplify it by dividing 3 on the 9.
6/3=2
Or you can multiply and it would be 18/9, because 6*3=18.
18/9=2
can someone please help me
Answer:
Y is less than or equal to -1
James read that bears can weight up to 125 kg. He wants to convert this to pounds so he can understand how heavy that really is. Convert the bears weight to pounds. (1kg = 2.205 lbs)
Answer:
275.63 pounds
Step-by-step explanation:
To convert it to pounds, multiply the weight in kg by 2.205
125(2.205)
= 275.63 pounds
Answer:
125 kg = 275.578 lbs
Step-by-step explanation:
1 Kilogram (kg) is equal to 2.2046226218 pounds (lbs). To convert kg to pounds, multiply the kg value by 2.2046226218. For example, to convert 4 kilograms to pounds, multiply 4 by 2.2046226218, that makes 4 kg is 8.81849049 lbs.
Hope this helps! :D
Bernardo skates at a circular rink that has a radius of 4 yards. If he uses 3.14 for π , what area would he estimate for the skating rink? * 1 point Option 4 12 yards 50 yards 25 yards
Answer: 50 yards
Step-by-step explanation: area of a circle is πr² so 3.14 x 4² = 50.24
Paul's dog has 6 puppies. Three of them are a mixture of black and white, two are all black, and one is all white. Express as a fraction the numbers that are... (hint: do not reduce the fractions) Black and white: _/_ all back: _/_ all white: _/_
Answer:
Black and white = 3/6
All Black = 2/6
All White = 1/6
Step-by-step explanation:
Black and white: 1/2
All black: 1/3
All white: 1/6
Needs reduced fractions
If f(x) and f-1(x) are inverse functions of each other and f(x)=2x+5, what is f-1(8).
Answer: 3/2
Step-by-step explanation:
On a coordinate plane, solid circles appear at points (negative 7, 1), (negative 6, 4), (negative 2, 8.5), (negative 1, 7.75), (1, 4), (2, 1). A curved line connects these points in an arc.
Use the graph to determine the input values that correspond with f(x) = 1.
x = 4
x = 1 and x = 4
x = −7 and x = 4
x = −7 and x = 2
Answer:
x=-7 and x=2
Step-by-step explanation:
lol i just got it right laughing crying emoji
Answer:
x = -7 and x = 2 :)
Step-by-step explanation:
is 19/14 an rational number
Answer:
19/14 is a irrational number
Step-by-step explanation:
Because when you divide 19 by 14, it keeps on going and the numbers are not repeating. so it is irrational