Answer:
f⁻¹(x) = 1/2 x + 2
Step-by-step explanation:
f(x) = 2x - 4 y=2x - 4
swap x and y: x = 2y - 4
solve y: 2y = x + 4
y = 1/2 x + 2
Inverse notation: f⁻¹(x) = 1/2 x + 2
Rob and Matt made 55 cups of lemonade
for their lemonade stall. Rob made 7 more
lemonades than Matt.
How many lemonades did Matt make?
Answer:
Rob made 31, and Matt made 24
Step-by-step explanation:
55 in total
Rob made 7 more do 55 - 7 = 48
48 / 2 = 24
24 for Matt
24 +7 = 31
31 for rob
Answer:
24 cups of lemonade
Step-by-step explanation:
Rob made 7 more then Matt. You could say that Matt made 24 and Rob made 31 and it would be correct.
You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.
Answer:
x is greater than or equal to 42 inches (I can't do the smybol for it)
Step-by-step explanation:
Find the radius of a cylinder with a volume of 200 in and a height 5 in.
Answer:
r≈3.57in
Step-by-step explanation:
Need help asap! What is x and y?
Answer:
C
Step-by-step explanation:
I THINK THAT IS THE ANSWER.
need to know soon! please help
Answer:
59
Step-by-step explanation:
62+59= 121
180-121= 59
Answer:
m<1 = 121
Step-by-step explanation:
59 + 62 = 121
180 - 121 = 59
180 - 59 = 121
3x + 2 ( 4x + 7) "terms"
help pleas
2x + 3 +2x +3 hhhhhhh
I REALLY NEED HELP ON THIS!!! The graph below shows the amount of snowfall recorded in New York during that time. Write an equation to represent the relationship between amount of snow accumulated and time.
Answer:
Y=.5x
Step-by-step explanation:
For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps
Miguel needs to fix a window screen that is 23 feet above the ground. A ladder leans against a building and forms a 75 degree angle with the ground. The angle where the building and ground meet is 90 degrees. The ladder he uses makes a 75° angle with the ground. What is the shortest possible length of the ladder if the top of it is 23 feet off the ground? Round to the nearest whole number. 6 ft 22 ft 24 ft 89 ft
Answer:
24
Step-by-step explanation:
i did it on edge
The shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side in the right triangle."
What is Pythagoras theorem?"In right triangle, a² + b² = c², where c is hypotenuse and a, b are other two sides of the right triangle."
What is sine of angle?"In right triangle for angle x, [tex]sin(x)=\frac{opposite~ side~ of~ angle~x}{hypotenuse}[/tex] "
For given question,
Consider the following figure.
In right triangle WXY, WX is 23 feet as a window screen is 23 feet above the ground.
WY represents the ladder.
that is the hypotenuse of right triangle WXY is the length of the ladder.
A ladder leans against a building and forms a 75 degree angle with the ground
⇒ ∠WYX = 75°
Consider the sine of ∠WYX .
[tex]\Rightarrow sin(75)=\frac{WX}{WY}\\\\ \Rightarrow 0.9659=\frac{23}{WY}\\\\ \Rightarrow WY=\frac{23}{0.9659}\\\\ \Rightarrow WY=23.81\\\\\Rightarrow WY\approx 24[/tex]
This means the hypotenuse WY is approximately 24 ft.
Therefore, the shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.
Learn more about the hypotenuse here:
https://brainly.com/question/8587612
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My boys got me I’m giving brainliest
Answer:
B
Step-by-step explanation:
Ali is y years old.
Bhavara is twice as old as Ali.
Ceris is 3 years younger than Ali.
The total of their ages is 125
years.
Work out the age of each person.
(4 marks)
Ali years=
Bhavara years=
Ceris years=
Ali = Y
Bha = 2Y
Cer = Y - 3
Then
Y + 2Y + Y-3 = 125
4Y - 3 = 125
4Y = 128
Ali = Y = 32
Bha = 2Y = 64
Cer = Y - 3 = 29
Hope it Helps :)
The ages of each person are,
⇒ Ali years = 32
⇒ Bhavana years = 64
⇒ Ceris years = 29
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Ali is y years old.
Bhavara is twice as old as Ali.
Ceris is 3 years younger than Ali.
And, The total of their ages is 125 years.
Now,
Since, The age of Ali = y
And, Bhavara is twice as old as Ali.
Hence, The age of Bhavara = 2y
And, Ceris is 3 years younger than Ali.
Hence, The age of Ceris = y - 3
Here, The total of their ages is 125 years.
Hence, We get;
⇒ y + 2y + y - 3 = 125
⇒ 4y - 3 = 125
⇒ 4y = 125 + 3
⇒ 4y = 128
⇒ y = 32
Thus, We get;
The age of Ali = 32 years
The age of Bhavara = 2y
= 2 × 32
= 64 years
The age of Ceris = y - 3
= 32 - 3
= 29 years
Learn more about the mathematical expression visit:
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At Harrison Middle School 0.96 of the student population was in attendance last Friday
Write 0.96 as a percent and as a fraction (in simplest form).
Please explain:))
You plan to meet a friend at a local bowling alley on Sunday afternoon. Prior to bowling, you must pay an initial fee of $6.00 to rent shoes and will then pay $4.00 per game you play. Which equation (written in slope-intercept form) best models this scenario? Let y represent your total cost and x represent the number of games you play. Group of answer choices y = 4x + 6 y = 2x + 6 y = 6x + 4 y = 4x
Answer:
[tex]y = 4x + 6[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Fee = \$6.00[/tex]
[tex]Rate = \$4.00[/tex]
Required
Derive the linear equation
Let the number of games be x.
Let the total cost be y
So, if the rate of 1 game is $4
Then x games costs 4x
The total cost (y) is then calculated as:
y = Initial Fee + Cost of x games
Substitute values for initial fee and cost of x games
[tex]y = 6 + 4x[/tex]
Rewrite as:
[tex]y = 4x + 6[/tex]
Prove the sum of three consecutive is divisible by three, that the sum of 5 consecutive integers is divisible by 5, but the sum of four consecutive integers is not divisible by 4
Answer:
Proved
Step-by-step explanation:
Solving (a):
Let the numbers be: [tex]x, x + 1, x + 2.[/tex]
Their sum is:
[tex]Sum = x + x + 1 + x + 2[/tex]
Collect Like Terms
[tex]Sum = x + x + x + 1 + 2[/tex]
[tex]Sum = 3x + 3[/tex]
Divide sum by 3.
[tex]Result = \frac{Sum}{3}[/tex]
[tex]Result = \frac{3x+3}{3}[/tex]
[tex]Result = \frac{3(x+1)}{3}[/tex]
[tex]Result = x + 1[/tex]
Hence, this is true because there is no fractional part after the division
Solving (b):
Let the numbers be: [tex]x, x + 1, x + 2,x+3,x+4[/tex]
Their sum is:
[tex]Sum = x + x + 1 + x + 2+x + 3 + x + 4[/tex]
Collect Like Terms
[tex]Sum = x + x + x + x + x+1 + 2 + 3 + 4[/tex]
[tex]Sum = 5x+10[/tex]
Divide sum by 5.
[tex]Result = \frac{5x + 10}{5}[/tex]
[tex]Result = \frac{5(x + 2)}{5}[/tex]
[tex]Result = x + 2[/tex]
Hence, this is true because there is no fractional part after the division
Solving (c):
Let the numbers be: [tex]x, x + 1, x + 2,x+3[/tex]
Their sum is:
[tex]Sum = x + x + 1 + x + 2+x + 3[/tex]
Collect Like Terms
[tex]Sum = x + x + x + x + 1 + 2 + 3[/tex]
[tex]Sum = 4x+6[/tex]
Divide sum by 4.
[tex]Result = \frac{4x + 6}{4}[/tex]
Split
[tex]Result = \frac{4x}{4} + \frac{6}{4}[/tex]
[tex]Result = x + 1.5[/tex]
The 1.5 means that the sum can not be divisible by 4
Which of the following will not translate as a mathematical
question three times a number equals fifteen.
two less than a number is equal to twelve.
Six Plus the number is seven.
A number divided by eight, Plus four.
PLEASE HELP ME FAST
Answer:
a number divided by eight, plus four
____ is a line that passes through exactly one point on a circle
Answer:
Radius????????????????
the point p and all points to the left and right of P
Answer:
ifyiohdihw5;goish;5iyhw;lij5yp'owk5yjw6iyjhge5g.liejh.lijs4l5yjwe4il5jywo4j5
Step-by-step explanation:
;orihwuklh5tijw/i6yji5yjitkyn5kkt;elfojyjhk;tmghl
Determine the value of z
Answer:
C
Step-by-step explanation:
First we need to find out y.
5y + 45 = 180 (angles on straight line)
y = 27
5y = 135
Then we could apply the angle sum of a pentagon to find out z.
90 + 5y + z + 82 + 135 = 180(5-2)
442 + z = 540
z = 98 i.e. C
Solve:
1/3(2x-6/5)=4/9(x+1/3)
[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]
[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]
[tex]54x - 162 = 60x + 60[/tex]
[tex] - 222 = 6x[/tex]
[tex]x = - 37[/tex]
I guess it's right.We learnt this way in Turkey.
Simplify. Remove all perfect squares from inside the square root. V125
Answer:
5 square root5
Step-by-step explanation:
FIRST ANSWER GETS BRAINLIEST!!!
Alistair Inc. shipped 32 packs of batteries to a retail store. Regular packs contain four batteries each, and super packs contain six batteries. A total of 166 batteries were shipped. How many regular packs were sent?
Answer:
Number of regular packs sent = 13
Step-by-step explanation:
Let,
x be the number of regular packs shipped
y be the number of super packs shipped
According to given statement;
x+y=32 Eqn 1
4x+6y=166 Eqn 2
Multiplying Eqn 1 by 4
4(x+y=32)
4x+4y=128 Eqn 3
Subtracting Eqn 3 from Eqn 2
(4x+6y)-(4x+4y)=166-128
4x+6y-4x-4y=38
2y=38
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{38}{2}\\y=19[/tex]
Putting y=19 in Eqn 1
x+19=32
x=32-19
x= 13
Hence,
Number of regular packs sent = 13
HELP PLEASE
Which equation can you use to find the value of x?
Answer:
3x=78+x-2
Step-by-step explanation:
Answer: 3x = 78 + x - 2
Step-by-step explanation:
1. Identify whether this equation has a solution that is positive, negative, or zero:
3x - 5= -3
1. positive
2.negative
3.Zero
I honestly don't get this, need help
what do you need help with?
A repeating decimal + A fraction
Answer:
3.33333333333+1/3=3.6666666666666666
Answer:
yup you're correct, nice job
i need this quick!!
What are the constants in the equation 3x+2=9
a - 3
b - x
c - 2 and 9, constants have a fixed value
d - none of the above
Answer:
Option C i.e. 2 and 9, constants have a fixed value is a correct option.
Step-by-step explanation:
In algebra, a constant is basically a fixed value.
Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.
For example: in ''2x+7=3'', 7 and 3 are constants.
Please note that the number with variable x in the term is a coefficient.In our case:
Given the equation
[tex]3x+2=9[/tex]
Therefore, 2 and 9 are constants, having a fixed value.
Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.
There were 96 students and 34 adults at the concert. If 65% of the seats were filled, how many seats are in the auditoriom? Round your answer to the nearest whole percent
Answer: 200 seats
Step-by-step explanation:
There are 96 students and 34 adults in a concert. The total number of people present is therefore:
= 96 + 34
= 130 people
These 130 people only fill 65% of the seats. Assume the total number of seats is x:
130 = 65% * x
x = 130/65%
x = 200 seats
PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP
I WILL GIVE A BRAINLIEST TO WHOEVER ANSWERS RIGHT
what is the square root of 2.4 divided by the reciprocal of 3 , divided by 0.483?
My answer is 1.192 I hope this helps u
Answer:
9.622318872565011
Step-by-step explanation:
The square root of 2.4 is a very long decimal, but here it is: 1.549193338482967
And if you divide it by the reciprocal of 3, (which is 1/3) it would basically be multiplying by 3. So:
1.549193338482967 x 3= 4.6475800154489
Finally, divide it by 0.483:
9.622318872565011
Tip: you should use a calculator on questions like these.
What is the value of the expression 19 - ?
At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.
Answer:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]b = blue[/tex]
[tex]y = yellow[/tex]
[tex]r = red[/tex]
Required
Represent as a matrix
For Sammy:
[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]
So, we have:
[tex]2b + 1y + 3r = 1500[/tex]
[tex]2b + y + 3r = 1500[/tex]
For Jamie:
[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]
So, we have:
[tex]1b + 2y + 2r = 1225[/tex]
[tex]b + 2y + 2r = 1225[/tex]
For Yvonne:
[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]
So, we have:
[tex]2b + 3y + 1r = 1200[/tex]
[tex]2b + 3y + r = 1200[/tex]
The system of equations are:
[tex]2b + y + 3r = 1500[/tex]
[tex]b + 2y + 2r = 1225[/tex]
[tex]2b + 3y + r = 1200[/tex]
To represent as a matrix, we have:
[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]
This gives:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]