Step-by-step explanation:
f(x) = x + 3/ 2
For a
f(2) = 2 + 3 / 2
= ( 4 + 3 ) /2
= 7/2
For b
f(x) = x + 3/2
f^-1(x) = ?
Let y = f(x)
y = x + 3/2
Interchanging the roles of x and y we get,
x = y + 3 / 2
y = x - 3 / 2
Therefore f^-1(x) = x - 3 / 2
For c)
f ^ -1(12) = 12 - 3 / 2
= (24 - 3) / 2
= 21 / 2
Hope it will help :)
Hockey teams are often confronted with the dilemma of whether or not to pull a goalie at the end of the game when they are down a goal or two. One analyst reports that in 40% of those games in which a goalie was pulled a goal was scored with one empty net, and of those goals scored 25% were scored by the team that pulled the goaltender. Given that the goalie has been pulled by a team, what is the probability that team will score a goal?
Answer:
Step-by-step explanation:
so 30% of the total number of goals shot is 5
30% of what number is 5....turn ur percent to a decimal..." of " is multiply
let the number of shots represent x
0.30x = 5...divide borh sides by 0.30
x = 5/0.30
x = 16.66 shots
PLEASE I NEED THIS ANSWER ASAP IF YOU ANSWER I WILL PUT YOU A BRAINLEST
Hope made 333 different yo-yos. She used 1\dfrac341
4
3
1, start fraction, 3, divided by, 4, end fraction meters of string for the first yo-yo, 111 meter of string for the second yo-yo, and a total of 4\dfrac134
3
1
4, start fraction, 1, divided by, 3, end fraction meters of string.
Hope uses the equation, 1\dfrac34+1+y=4\dfrac131
4
3
+1+y=4
3
1
1, start fraction, 3, divided by, 4, end fraction, plus, 1, plus, y, equals, 4, start fraction, 1, divided by, 3, end fraction to represent the situation.
What does the variable yyy represent in the equation?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Number of yo-yos Hope made
(Choice B)
B
Number of meters of string in third yo-yo
(Choice C)
C
Total number of meters of string Hope used
Answer:
choice b maybe?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.
List all the possible outcomes of the 3 throws.
Given:
Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.
To find:
The list of all the possible outcomes of the 3 throws.
Solution:
Let H represents heads and T represents tails.
For each throw we have 2 choices either H or T.
For three throws the total number of possible outcomes is
[tex]2^3=8[/tex]
Now, list the possible outcomes as shown below.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Therefore, the list of 8 possible outcomes is HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
Chris bought 2 chicken sandwiches and 3 bowls of vegetable soup for $16.50. Jim bought 1 chicken sandwich and 2 bowls of vegetable soup for $9.50. What was the cost of a bowl of soup? A) $4.50 B) $2.50 C) $5.50 D) $3.25
Answer:
Step-by-step explanation:
This is a system of equations, best solved by using the elimination method. But first we have to come up with our 2 equations that represent the system. Let's call the chicken sandwiches "c" and the bowls of soup "b".
If Chris bought 2 chicken sandwiches and 3 bowls of soup for $16.50, his equation is:
2c + 3b = 16.50
If Jim bought 1 sandwich and 2 bowls of soup for $9.50, then his equation is:
1c + 2b = 9.50
We put these together, one above the other, lining up the variables:
2c + 3b = 16.50
1c + 2b = 9.50
If we multiply the second equation by -2 we can eliminate the c variable. Multiplying the second equation by -2 changes only that equation, making the "new" system:
2c + 3b = 16.50
-2c - 4b = -19.00
When we add straight down each column, the c's cancel each other out (they subtract away) and in the b column we have -1b, and in the answer column, we have -2.50.
That equation is -b = -2.50 or b = 2.50
A bowl of soup costs $2.50, choice B
PLEASE HELP! GIVING POINTS!
I need Help and I need it FAST!
Answer:
[tex] \huge a)\frac{1}{ {3}^{9}. {6}^{18} }[/tex]Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] {x}^{ - y} < = > \frac{1}{ {x}^{y} } [/tex][tex]( {x} ^{z} )^{y} < = > {x}^{y \times z} [/tex]let's solve:[tex]( {3}^{3} . {6}^{6} {)}^{ - 3} [/tex]
[tex] \frac{1}{( {3}^{3}. {6}^{6} {)}^{3} } [/tex]
[tex] \frac{1}{ {3}^{3 \times 3}. {6}^{6 \times 3} } [/tex]
[tex] \frac{1}{ {3}^{9}. {6}^{18} }[/tex]7-x=-2
find the variable
Answer:
Step-by-step explanation:
7-x=-2
-x=-2-7
-x=-9
x=9
A right cone has a slant height of 17 feet, and the diameter of the base is 30 feet. What is the height, h, of the cone?
I WILL MARK BRANILEST
Answer:
8
Step-by-step explanation:
Answer:
Its 8 100%
Step-by-step explanation:
Edit: OK its right here is the The work And no I didn't copy
Write an expression for the sequence of operations described below.
Answer:
[tex]\frac{8 + c}{b}[/tex]
Step-by-step explanation:
this is what i got
plsss help (ZOOM TO SEE FULL PIC)
Answer:
350+280+553=1183
C
Step-by-step explanation:
Simplify the following expression to an answer with only positive exponents.
(2x^5y^7)(-5x^4z^-5) / y^12z^6
Answer:
The correct answer is (edit: b).
Step-by-step explanation:
[tex]\frac{(2x^5y^7)(-5x^4z^{-5})}{y^{12}z^6}\\\\\frac{-10x^9y^7z^{-5}}{y^{12}z^6}\\\\\frac{-10x^9}{y^5z^{11}}[/tex]
Help I will make you as brainlist please
Answer: C
Step-by-step i just know
An electronics company finds that 5 out of 75 capacitors produced are damaged. How
many damaged items can they expect if the company produces 1,500 capacitors?
=============================================
Explanation:
5/75 = 1/15 means that 1 out of every 15 capacitors are damaged.
Multiplying this with the 1500 capacitors produced, we expect about (1/15)*1500 = 1500/15 = 100 capacitors are damaged in this batch.
---------
A slightly different approach:
Saying "1 out of every 15 capacitors are damaged" means we can form the ratio
1 damaged: 15 total
Then multiply both sides by 100 so that the "15 total" jumps up to "1500 total" and we get the following
1 damaged: 15 total
100*(1 damaged): 100*(15 total)
100 damaged: 1500 total
We get the same answer as before.
Keep in mind that it's not a guarantee that we'll find 100 damaged capacitors out of 1500 total, but rather this is an estimate based on the average. So instead of saying "there are 100 damaged capacitors" it would be better to say "there are expected to be about 100 damaged capacitors".
100 items can they expect if the company produces 1,500 capacitors.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
An electronics company finds that 5 out of 75 capacitors produced are damaged.
So, if there are 1500 capacitors then the damaged one are
= 5/ 75 x 1500
= 5 x 20
= 100 capacitors
Learn more about Unitary Method here:
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can some one help me plz!!!
i am marking brainlyest
Answer:
its a or c
Step-by-step explanation:
Rashida keeps her collection of 162 books on three shelves there are 42 books on the first shelf there are x books on the second self the number of books on the third shelf is 2 times the number of books on the second shelf what is the value of x the number of books on the second shelf
Answer:
f
Step-by-step explanation:
162-42=120
divide 120 by the other 2 shelves and get 60. if its 2 times the number of books on the second shelf its 60.
Choose the best graph that represents the linear equation: -5x - y = 0 Graph A On a coordinate plane, a line goes through (0, 0) and (1, 5). Graph B On a coordinate plane, a line goes through (0, 0) and (5, 1). Graph C On a coordinate plane, a line goes through (0, 0) and (negative 1, 5). Graph D On a coordinate plane, a line goes through (0, 0) and (1, negative 5). a. Graph A c. Graph C b. Graph B d. Graph D
Answer:
2,4 is indeed correct on edg.
Graphs that show a linear function is second option
The linear equation graphs are the equation of straight line graph with slope.
for example y = mx where (x,y) be the point on the line and m be the slope.
here the only second graph shows a straight line graph. y values changes by when x value changes. there is a slope.
when we a x value we can compute the corresponding y value.
Step-by-step explanation:
5. Dennis is selling chocolate bars for a
fundraiser, and if he sells over $175 worth of
candy, he'll win a prize. If chocolates sell for
$2.50 a bar, and Dennis has already sold $40
worth of candy, then how many more bars does
he have to sell in order to win a prize?
Variable:
Inequality:
Solution:
Answer: 54, inequality would be 2.50x+40>or=175 i think
Step-by-step explanation:175-40=135 divided by 2.50=54
Answer: 54, inequality would be 2.50x+40>or=175 i think
Step-by-step explanation:175-40=135 divided by 2.50=54
Solve the system of equations – 5x + y = 56 and x + y = -4 by combining the
equations.
Answer:
Your solution is (-10, 6).
Step-by-step explanation:
Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.
-5x + y = 56
x + y = -4
Let's change the second equation into one with one variable on each side.
y = -x - 4
Now, plug this into your first equation.
-5x + (-x - 4) = 56
Distribute the + sign.
-5x - x - 4 = 56
Combine the like terms.
-6x - 4 = 56
-6x = 60
Isolate x by dividing both sides by -6.
x = -10
Now plug this back into either equation.
-10 + y = -4
Add 10 to both sides to find y.
y = 6
Your solution is (-10, 6).
Check this by plugging in these values into the equation you have not checked yet.
-5(-10) + (6) = 56
50 + 6 = 56
56 = 56
Your solution is correct.
Hope this helps!
Answer:
x=-10; y=6
Step-by-step explanation:
combine the equations:
-5x + y + x + y = 56 +(-4)
-4x + 2y = 52
add 4x to each side
2y=52+4x
divide by 2
y=26+2x
now substitute 26+2x for y in the second equation:
x + 26 + 2x = -4
3x + 26 = -4
3x = -30
x = -10
therefore y = 6
The options for A , B , C , and D will be below:
A : 2 , 4 , 6 , 0 , 1 , 8
B: 2 , 4 , 6 , 0 , 1 , 8
C: 2 , 4 , 6 , 0 , 1 , 8
D: 2 , 4 , 6 , 0 , 1 , 8
Answer:
8 4 2 0
Step-by-step explanation:
I sold something on ebay and I go to the UPS store to
ship the package. The cost for the box is $3, and it cost
$4.50 per pound to ship.
1) Write an equation to model this situation.
2) Is the domain discrete or continuous? Explain
First you will input the equation, then submit it, then you
will be asked to explain.
imple
Answer:
1) 3+4.50x = total cost
2) continuous, because x will be the continuous change depending on the pounds
Step-by-step explanation:
The equation to model the situation is C(w) = 3 + 4.50w, and the domain is continuous because weight (w) can take any real number value for the package.
1. The equation to model this situation can be written as follows:
Total Cost (C) = $3 (Cost of the box) + $4.50 per pound (Weight of the package in pounds)
Let's denote the weight of the package in pounds as "w." The equation is:
C(w) = 3 + 4.50w
2. The domain in this situation is continuous. The weight of the package (w) can take any real number value, and the cost function C(w) is valid for all real values of weight. There are no restrictions or gaps in the possible values of weight, meaning it is continuous.
In summary, the equation to model the situation is C(w) = 3 + 4.50w, and the domain is continuous because weight (w) can take any real number value for the package.
To know more about equation
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Please help, she never told is how to do this and i cant find any answers
Answer:
The variable is going to be divided
you solve by multiplying 9 to both sides to eliminate the fraction, then add 6 on both sides to get the variable by itself.
Step-by-step explanation:
PLEASE HELP!! Will give brain and 5 stars
6.) ∆DAY
7.) SAS
Hope it helps ⭐⭐⭐there are 153 people in line for a ride at an amusement park the ride can take 40 people at a time how many times will the ride need to run so that every person in the lines gets a turn?
Answer:
Step-by-step explanation:
we need to divide
153/40=3.825
the ride needs to run 4 times
Find mP.
A. 27°
B. 31°
C. 59°
D. 86°
Answer: Answer is actually A) 27
Step-by-step explanation: :)
I will give brailiest
Estimate the sale price of the item.
30% off a bike for $432.43
Answer:
Purchase Price:
$432
Discount:
(432 x 30)/100 = $129.60
Final Price:
432 - 129.60 = $302.40
Step-by-step explanation:
Answer:
About $129
Step-by-step explanation:
30% of $432.43 rounds to 30% of $430 = .3 x 430 = About $129 dollars
Hope that helps!
Carlos has a $20 bill. He wants to buy his mom something for her birthday. He uses part of the
money to buy a some flowers. The flowers cost $15.99. He also wants to use the rest of the money
to buy some chocolate candies. Each chocolate costs $0.50. Which of these inequalities describes
the situation, where n is the number of chocolates Carlos is able to buy?
A) 15.99 -0.50n S 20
B) 15.99 -0.50n 20
C) 15.99 +0.50ns 20
D) 15.99 +0.50n > 20
Answer:
D) $15.99 +$0.50n> $20
Step-by-step explanation:
First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.
Answer:
whats the question here
Step-by-step explanation:
Answer:
The 2nd and 4th one
Step-by-step
60.5 feet
16 feet
75.5 feet
How many squares of grass will need to be ordered to fill the entire park
Answer:
73084
Step-by-step explanation:
60.5*16*75.5
968*75.5
73084
SOLVE
r(s 2) (t) when r = 2, s = 3, and t = 5
pls help
Answer:
320 or 40 sorry if I´m wrong
Step-by-step explanation:
Answer:
Step-by-step explanation:
2(3*2)(5)
2*3*2=24
24*5=120
PLEASSSE get this this circle bs mad wack
Answer:
x = 6
Step-by-step explanation:
The inscribed angle is half the measure of its intercepted arc, that is
3x + 5 = 0.5 × 46 = 23 ( subtract 5 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Answer:
x = 6
Step-by-step explanation:
The inscribed angle is half the measure of its intercepted arc, that is
3x + 5 = 0.5 × 46 = 23 ( subtract 5 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
