as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
[tex]2(x-2)^2=8(7+y)\hspace{5em}\stackrel{\textit{quick switcheroo}}{2(y-2)^2=8(7+x)} \\\\\\ (y-2)^2=\cfrac{8(7+x)}{2}\implies (y-2)^2=4(7+x)\implies (y-2)^2=28+4x \\\\\\ y-2=\pm\sqrt{28+4x}\implies \boxed{y=2\pm\sqrt{28+4x}}\qquad \impliedby f^{-1}(x)[/tex]
Difference of functions
Mei needs to cut a 12-inch loaf of bread into slices that are inch thick.
a. How many 2-inch thick slices can Mei cut from the 12-inch loaf of bread?
b. How many inches of bread would be left over?
a. The number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is 6.
b. The inches of bread that would be left over is zero.
How to illustrate the expression?The information given an be solved by Illustratingnut with an expression. This is simply used to show the relationship between the variables that are provided or the data given regarding an information.
Since Mei needs to cut a 12-inch loaf of bread into slices that are inch thick, the number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is:
= 12 / 2
= 6
There'll be no left over
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The quotient of 25 and 5 increased by 3
Answer: 8
Step-by-step explanation: Based on the given conditions, formulate 25/5+3 Reduce the sum or difference: to 8 therefore the answer is 8
Answer:
down below
Step-by-step explanation:
The quotient means the total amount that comes from dividing two things. In this case, the problem is asking for 25 and 5 to be divided. 25 divided by 5 is 5. You can check this by multiplying 5 and 5 to get 25. So, you know it's right. Now, take 5 and add 3 to it. 5 + 3 = 8. So, the answer is 8.
Hope this helps! :)
What type of graph is absolute value?
On [0,∞] the function grows, whereas on [-∞, 0], it shrinks. f has absolute minimum value is 0, and it also has the same relative minimum value (0,0).
What does an absolute value graph look like?On the graph, you are able to see a "open circle" at it when x< 0. (0, 0).
This is due to the fact that, as we've previously demonstrated, the points at y = x approaching (0, 0) as the x-values approach 0.Since x needs strictly be less than zero on only this stretch, the open circle being drawn in its place.When x ≥ 0, a point in (0, 0) is plugged in, thus "plugging" the hole shown by either open circle.Therefore, we get:On [0,∞] the function grows, whereas on [-∞, 0], it shrinks. Function f absolute minimum value is 0, and it also has the same relative minimum value (0,0).F has absolute minimum value is 0, and it also has the same relative minimum value (0, 0). F's highest relative value is zero.There consequently no absolute maximum value of f due to the graph's infinitely high y values.
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William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2000 for their reception. If the reception hall charges a $70 cleanup fee plus $30 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
The answer is 64 people.
Step-by-step explanation:
If they invite 64 people and all of them show up you multiply that by 30 you get 1,920 add 70 to that and you get 1,990. The reason that 64 is the maximum is because if it were 65 it would go over their budget and if it were below 64 then we wouldn't be getting the greatest number possible.
Find the volume of this cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for pi
Answer:37.68
Step-by-step explanation:
given:
diameter of cylinder =4in.
radius of cylinder=2in.
height of cylinder =3in.
Volume of cylinder=πr^2h
. = 3.14×2×2×3
. = 37.68 in Cube
Answer:
113.1
Step-by-step explanation:
If π= 3.14 And The Equation For This Type Of Problem Is V=πr2h then all you do is do 3.14 times 9 times 4
Where Your Multiplying 3 To Square Of 2 To Get 9, So Take that 3.14 Multiply It By 9 And Then 14, Thus the answer is 113.1
Hope This Helps
If you simplify(x^3/x/x)^3, what power rules do you need to simplify it? a. Addition Rule and Power of a Power Rule b. Subtraction rule and Power of a Power. c. Division Rule and Power of a Power Rule d. Power of a Product Rule and Power of a Power Rule e. None of these choices
Answer:
. c. Division Rule and Power of a Power Rule
Step-by-step explanation:
(x^3/x/x)^3
=(x³/x/x)³
First we need to solve the brackets. Anything written in the fraction form a/b/c can be written as a*c/b.
Similarly (x³/x/x)³ can be written as (x*x³/x)³
Solving further the x can be cancelled by x leaving x³ behind.
(x³)³
Now applying the Power of a Power Rule
x³*³= x⁹
First the division rule and then the power rule is applied.
PLEASE HELP !!
Find the value of x
picture attached
Answer:
x = 11
Step-by-step explanation:
The two angles are consecutive interior angles so they add up to 180
13x -26 + 5x + 8 = 180
13x + 5x -26 + 8 = 180
18x - 18 = 180
18x = 180 + 18
18x = 198
x = 11
write X^2+4x+5 in the form (x+a)^2-b
Answer:
(x + 2)² + 1
Step-by-step explanation:
Given
x² + 4x + 5
To express in vertex form use the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² + 4x
= x² + 2(2)x + 4 - 4 + 5
= (x + 2)² + 1 ← in vertex form
What is the diameter of B?
With explanation. No links.
What is the solution for 3x 2y 5?
The solution for 3x 2y 5 is x = 0 and y = -2.5
The solution for 3x 2y 5 can be found by first rewriting the equation in standard form, which is ax + by = c. In this case, the standard form would be 3x + 2y = -5.
Next, we can calculate the value of y in terms of x by using the following formula:
y = (c - ax) / b
Substituting in the values, we get:
y = (-5 - 3x) / 2
Now, we can substitute this expression for y into the original equation to solve for x:
3x + 2((-5 - 3x) / 2) = -5
3x + (-5 - 3x) = -5
6x + -5 = -5
6x = 0
x = 0
Finally, substituting x = 0 into the expression for y, we get:
y = (-5 - 3(0)) / 2
y = (-5 - 0) / 2
y = -5 / 2
y = -2.5
The solution for 3x 2y 5 is x = 0 and y = -2.5
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please do this quick
Find the length of the third side. If necessary, round to the nearest tenth
Answer:
I'm pretty sure the answer for this is 28 :))
08 Match the following
Column
Column B
( Ul Janes mill a Goveror-geroveral
ul official documente bl Biotanicalganda
Ili warn Hasting
Ivcustard Apple di preserved
Indial
(CI A History ob British
10. Ashton walked into the restaurant and 4 employees were working registers. Use the trend line equation to predict how long he will wait to place his order.
On solving the provided question, we can have that by unitary method the answer will be total salary = 4 * 2340 = $ 9360
What is unitary method ?
The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
in a restaurant = 4 employees
salary of 1 = $ 2340
total salary = 4 * 2340 = $ 9360
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HELP ME!!!!!!!!!!!!!!!!
Answer:
It is 20 for admission and 10 for each class
Step-by-step explanation:
Because the line is at a 45 degree angle and the graph is 1-10
if the radius of a circle is 5 what is the circumference
Answer:
31.42
hope this helps
have a good day :)
Step-by-step explanation:
Answer: 31.4
Step-by-step explanation:
May someone plz help me!
Answer:
#1Net worth = $5480.80Liabilities = $3260.60Assets = $5480.80 + $3260.60 = $8741.40Assets increase 10%:
$8741.40*1.1 = $9615.54Liabilities decrease 10%:
$3260.60*0.9 = $2934.54Net worth now is:
$9615.54 - $2934.54 = $6681.00Correct choice is J
#2Total budget:
250 + 825 + 1247 + 385 + 722 + 657 + 250 + 291 = 4627Transportation and clothing:
657 + 385 = 1042Percentage of transportation and clothing:
1042 / 4627 * 100% = 23%Correct choice is C
#3Gross income:
$1618.30Deductions:
$19.80 + $1618.30*(0.045 + 0.15) = $335.37Net pay:
$1618.30 - $335.37 = $1282.93Kira is going to the airport. It is 9:50 AM right now. Kira's flight will depart in 3 hours 39 minutes. What is the departure time of her flight?
Answer: 1:29pm
Step-by-step explanation:
9:50am + 3 hours = 12:50pm
12:50pm + 10 minutes= 1:00pm
1:00pm+ 29 minutes= 1:29pm
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
Step-by-step explanation:
Christopher has set up a lemonade stand outside his house and sells small cups and large cups of lemonade. Each small cup holds 10 ounces of lemonade and each large cup hold 20 ounces of lemonade. Christopher used 800 ounces of lemonade and sold twice as many small cups as large cups. Graphically solve a system of equations in order to determine the number of small cups sold, x , x, and the number of large cups sold, y y.
Christopher sold 20 cups of large 20-ounce cups of lemonade
outside his house.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, Christopher has set up a lemonade stand outside his house and sells small cups and large cups of lemonade.
Small cups sold is x and the number of large cups sold is y.
Each small cup holds 10 ounces of lemonade and each large cup holds 20 ounces of lemonade and he sold 800 ounces.
Therefore,
10x + 20y = 800...(i)
He also sold twice as many small cups as large cups.
Therefore,
2y = x...(ii)
10(2y) + 20y = 800.
20y + 20y = 800.
40y = 800.
y = 20.
So, He sold 20 cups of large lemonade.
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There are red, yellow, blue and green counters in a bag. The probability of picking red is 0.25. The probability of picking yellow is 0.15. The probability of picking blue is 0.2. Work out the probability of picking green? *
Answer:
The probability of picking a green is 0.4
Step-by-step explanation:
Mathematically, when we talk of the highest possibility an event can have, we have the answer as 1
Hence, when we add up all the probabilities, it is expected that we arrive at a value equal to 1
Thus, the probability of selecting each individual colors add up to 1
since we have the probability of three colors, the probability of the fourth will be the sum of the others subtracted from 1
we have the probability of picking a green as;
1 - 0.25 - 0.15 - 0.2 = 0.4
3(x-3) = 20 what is x
Answer:
x ≈ 9.7
how mny decimal places do u need?
Step-by-step explanation:
3( x-3 )= 20
>3x - 9 = 20
>3x = 29
> x= 9.66666667
Giving brainlist to whoever answers
Answer:
Diagram D.
Step-by-step explanation:
Answer:
Its the fourth diagram
Letter D
HOPE I HELPED! :)
please help!
in the equation x^2+12x+32=(x+a)(x+b), b is an integer. find algebraically, all possible values of b.
AREA OF CIRCLES HELP PLS
Answer:
432ft^2
Step-by-step explanation:
24/2=12
3 x 12 x 12=432
What is step 3 in problem solving?
Step 3 is Define the problem Goals.
there are 8 steps, which are as follows,
1- Define the Problem
2- Clarification of the Problem
3- Define the problem Goals
4- Identify main Cause of the Problem
5- Develop a Action Plan
6- Execute that Action Plan
7- Analyze the Results
8- Continuous Improvements
Problem solving
Problem solving is the method of determining the problem and then clarify the doubts and prepare a action plan and then execute the action plan and find out the desired results and if the results are not appropriate then improve the action plan and your way of doing until you get the desired results.
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3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm square base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the medallion.
Answer:
Heres my notes
Step-by-step explanation:
Which best explains why |–4| = 4?
Answer:
Absolute Value
Step-by-step explanation:
|-4| is equal to 4 because Absolute Value is the distance from zero to a number on a number line. The vertical bars "||" in Absolute Value convert the number to it’s positive.
Examples:
|-12| = 12
|5| = 5
I need help with this question
Answer:
It would also be 78 degrees
Step-by-step explanation:
You would call those two angles "alternate angles"
Answer:
78 degrees
Step-by-step explanation:
mark me brainliest please