9514 1404 393
Answer:
(f/g)(x) = 1/(2x)
x ≠ 1/2
Step-by-step explanation:
[tex](f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}[/tex]
The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.
Mrs. Ellis can divide her class into groups of 3 students or 4 students. Which of the following is a possible size of her class? plz hurry and answer
Answer:
24
Step-by-step explanation:
24/3=4
24/4=3
Please help
h(x)
=
3x2 – 2x + 13
h(3) = [?]
Be sure to simplify your answer.
Answer:
34
Step-by-step explanation:
h(x)=3x² – 2x + 13
By replacing x with 3, we get
h(3)=3×3² – 2×3 + 13
=3×9-6+13
=27+7
=34
Simplify the expression |-0.8x10|
Answer:
if x=1, then the answer is 0.8
Step-by-step explanation:
The graph to the right is called a circle graph or pie chart. The
circle represents a whole, or 100%. This particular graph
shows the average percent of the workday that is spent on
various tasks. Use this graph to answer the following question.
Email 2x%
Role-Specific Tasks 41%
Collaborating Internally x%
Searching and Gathering Info 17%
What percent of an average worker's time is spent on tasks
other than role-specific tasks?
TITIE
Answer:
41
Step-by-step explanation:
59 percent of an average worker's time is spent on tasks other than role-specific tasks.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, The graph to the right is called a circle graph or pie chart. The circle represents a whole, or 100%. This particular graph shows the average percent of the workday that is spent on various tasks. Use this graph to answer the following question.
Email 2x%
Role-Specific Tasks 41%
Collaborating Internally x%
Searching and Gathering Info 17%
Since Who;e graph conclude to 100%
Thus,
2x + 41 + 17 +x = 100
3x = 42
x = 14
Time spent other than Role specific = 100 - 41 = 59
Therefore, Other tan role specific tasks average worker spent on other task is 59 percent of their time,
Learn more about percentage here:
https://brainly.com/question/29306119
#SPJ1
What the image of (- 6, 5) after a reflection over the line y = x ?
Answer:
25
Step-by-step explanation:
A table and 8 chairs together weigh
97 lb. If the table weighs 25 lb,
how much does each chair weigh?
Find the inverse of the following functions (a) y = ln(3x + 7)
Answer:
[tex]y = ln(3x + 7) [/tex]
let inverse be m :
[tex]m = ln(3x + 7 ) \\ {e}^{m} = 3x + 7 \\ {e}^{m} - 7 = 3x \\ \\ x = \frac{ {e}^{m} - 7 }{3} [/tex]
subsitute m with x :
[tex]{ \boxed{ \boxed{ {y}^{ - 1} = \frac{ {e}^{x} - 7 }{3} }}}[/tex]
Where do you put the commas in 200000000000000000000
Answer:
Step-by-step explanation:
200,000,000,000,000,000,000
your welocome
Answer:
200,000,000,000,000,000,000
Step-by-step explanation:
What you do is instead of starting from the left you start from the right and after every three digits you add a comma.
I hope this helped!!
Frank is excited to fly his new drone. It takes off from a picnic table that is 1 meter high, and
it climbs 3 meters per second.
Write an equation that shows how the drone's elevation in meters, y, depends on the number
of seconds it has been flying, X.
Answer:
y=1+3x
Step-by-step explanation:
y= 1 + 3x
Hope I helped
Answer:
y= 3x + 1
Answer Explanation:
Mack beat his opponent by
SEVEn points in a game which
ends when a total of
101 points have been scored.
How many point did Mark
have
Answer:
94
Step-by-step explanation:
When a player reaches 101 points, they win. So that means that Mack reached 101 points. Since his opponent was seven points behind, we can subtract 7 from 101 to find Mark's, that is Mack's opponent's, score:
[tex]101-7=94[/tex]
Therefore, we can safely conjecture that Mark scored 94 points.
When there is -2^2, how come the answer is negative and not positive.
Answer:
the negative cancels out the positive
asap due today
oooooooooooooooooo
Answer:
3x - 2 = 10
Step-by-step explanation:
Inverse equation
1. g(n)= 2+(n+2)^3
2. f(n)= 1/2n+3/2
Answer:
1
[tex]g(n) = 2 + {(n + 2)}^{3} [/tex]
let the inverse be m :
[tex]m = 2 + {(n + 2)}^{3} \\ {(n + 2)}^{3} = m - 2 \\ n + 2 = \sqrt[3]{(m - 2)} \\ n = \{ \sqrt[ 3]{(m - 2)} - 2 \}[/tex]
therefore:
[tex]{ \boxed{ \boxed{g {}^{ - 1}(n) = \{ \sqrt[3]{(n - 2)} - 2 \}}}}[/tex]
2.
[tex]f(n) = \frac{1}{2} n + \frac{3}{2} [/tex]
let inverse be x :
[tex]x = \frac{1}{2} n + \frac{3}{2} \\ \\ 2x = n + 3 \\ n = 2x - 3[/tex]
therefore:
[tex]{ \boxed{ \boxed{f {}^{ - 1}(n) = 2n - 3 }}}[/tex]
Which equation represents a line that passes through the points (5,-2) and (8,4)?
A. y= -2x*8
B. y= 1/2x-9/2
C. y=x-6
D. y=2x-12
Three painters worked 6 hours each at $35.50 per hour. They used
9 gallons of paint at $29.85 per gallon. Find the total charge.
Answer:
$907.65
Step-by-step explanation:
$35.50 for 6 hrs is $213 times 3 because of the 3 painters, which is $639. $29.85 times 9 is $268.65. Add together you get $907.65
Find the area of the following figure: 12 cm :3 cm 10 cm 2. 15 cm 30 cm2 36 cm 2 18 cm
Answer:
I think it's 15 cm^2
Step-by-step explanation:
I not sure about this
Area of a triangle :
[tex] \hookrightarrow \: \dfrac{1}{2} \times base \times height[/tex]
[tex] \hookrightarrow \: \dfrac{1}{2} \times 10 \times 3[/tex]
[tex] \hookrightarrow5 \times 3[/tex]
[tex] \hookrightarrow \: 15 \: \: {cm²}[/tex]
Including a 9% sales tax an inn charge 149.33 per night
Step-by-step explanation:
9% tax means 9% increase
multiplier ×1.09
149.33×1.09=162.7967
plss mark brainliest
Community Gym charges a $40 membership fee and a $65 monthly fee. Workout Gym charges a $190 membership fee and a $55 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
Answer:
Step-by-step explanation:
65m + 40 = 55m + 190
65m - 55m = 190 - 40
10m = 150
m = 15 months
which best describes the relationship between the successive terms in the sequence below?
Answer:
You haven't displayed the full question
Write 2.3181818... as a mixed number.
Can someone explain this to me please and answer ?
Find the area shaded in yellow
[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
To find the area shaded in yellow in the given question in square units you have to count the number of squares the yellow figure occupies. In simpler terms, you only need to count the yellow coloured squares in the given graph. In this graph, about 52 squares are shade yellow. So, the area shaded in yellow is [tex]\large\boxed{\underline{\bf \: 52 \: square \: units.}}[/tex]
Use the quadratic formula to solve x2 – 5x + 3 = 0.
ОА.
51/37
X =
2
B.
*.51473
O c. x.-311
2
D. X-
25+ 117
2
RE
Answer:
x is 4.30 and 0.697
Step-by-step explanation:
Quadratic formular:
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ [/tex]
a » 1
b » -5
c » 3
[tex]x = \frac{ - ( - 5)± \sqrt{ {( - 5)}^{2} - (4 \times 1 \times 3)} }{(2 \times 1)} \\ \\ x = \frac{5± \sqrt{13} }{2} [/tex]
Therefore, values of x :
[tex]x = \frac{5 + \sqrt{13} }{2} \: \: and \: \: \frac{5 - \sqrt{13} }{2} \\ \\ x = 4.30 \: \: and \: \: 0.697[/tex]
the distance between the base of the tree and the base of the building is:
please
my guess is "15m" is it correct ?
Explanation:
Apply the pythagorean theorem to find the missing side.
[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]
The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.
Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.
solve 12+20 using distributive property and the gcf
Answer:
4(3+5). the sum in the parenthesis is 8 and the gcf is four. 4*8=32
Step-by-step explanation:
Isolate the variable by adding a constant to each side of the equation 4(x-5)=25
Answer:
ummm I think u want the answer x= 11 1/4
Answer:
x = 45/4
Step-by-step explanation:
4(x - 5) = 25
4x - 20 = 25
4x - 20 + 20 = 25 + 20
4x = 45
4x/4 = 45/4
x = 45/4
What is m∠A? help haha
Help me pls, will mark brainliest (just 1-7)
Answer:
6
Step-by-step explanation:
take one away
PLEASE HELP
Bethany and Heather ran a mile in gym
class. Bethany finished in 8 minutes and
Heather finished in 10 minutes. Find the
difference in their times.
Evaluate the expression for the given value of the variable.
50 - 7w/3 + 4w When w=6
Answer:
60
Step-by-step explanation:
50 - 7×6 / 3 + (4×6)
50 - 14 + 24 = 60