Answer: Choice C
[tex]y = x^2+2, \ x \ge 0[/tex]
=============================================
Work Shown:
[tex]f(x) = \sqrt{x-2}\\\\y = \sqrt{x-2}\\\\x = \sqrt{y-2} \ \text{ swap x and y}\\\\x^2 = y-2 \ \text{ square both sides}\\\\y = x^2+2\\\\f^{-1}(x) = x^2+2\\\\[/tex]
Since the range of f(x) is [tex]y \ge 0[/tex] this means the domain of the inverse will be [tex]x \ge 0[/tex]
The domain and range swap when you go from the original function to the inverse, or vice versa (due to x and y swapping)
So we must state the inverse is [tex]y = x^2+2 , \ x \ge 0[/tex]
._. kan someone help?
Answer:
The third one
Step-by-step explanation:
it number 3 one no prob
Step-by-step explanation:
4 1/3 minus - 2/3
Please hurry!
Answer: 11/3
Step-by-step explanation:
(4 1/3) - (2/3) = (13/3) - (2/3) = 11/3
Answer: 5
Step-by-step explanation:
[tex]\displaystyle\\4\frac{1}{3} -(-\frac{2}{3})=\\\\ \frac{(4)(3)+1}{3} +\frac{2}{3}=\\\\ \frac{12+1+2}{3}=\\\\ \frac{15}{3}= \\\\5[/tex]
g(x)=x^2-4
f(x) = -2x-3
Find g(-6) – f(-6)
someone help and please show steps!! <3 10 points !!!
Answer:
23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x² - 4
f(x) = -2x - 3
g(-6) is x = -6 for function g(x)
f(-6) is x = -6 for function f(x)
Step 2: Evaluate
g(-6)
Substitute in x: g(-6) = (-6)² - 4Exponents: g(-6) = 36 - 4Subtract: g(-6) = 32f(-6)
Substitute in x: f(-6) = -2(-6) - 3Multiply: f(-6) = 12 - 3Subtract: f(-6) = 9g(-6) - f(-6)
Substitute: 32 - 9Subtract: 23The ratio of tuna to catfish is 4:9. If there are 24 tuna in the enclosure at the aquarium, how many catfish are
there?
Solve for
5(2 – 8) = 20
Answer:
Step-by-step explanation:
5x - 40 = 20
5x = 20 + 40
5x = 60
x = 60/5
x = 12
Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
5(x - 8) = 20
Step 2: Solve for x
Divide 5 on both sides: x - 8 = 4Add 8 on both sides: x = 12Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(12 - 8) = 20Subtract: 5(4) = 20Multiply: 20 = 20Here we see that 20 does indeed equal 20.
∴ x = 12 is a solution to the equation.
True/False;
This table represents a linear function.
True
False
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Zero Slope: its graph is a ____________ line. When the ____ is on the top (numerator) when using the slope formula. When the ___ values are the same when looking at a table.
Answer:
Horizontal, 0, y
Step-by-step explanation:
distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.
Answer:
a = 3
Step-by-step explanation:
Calculate the distance d using the distance formula and equate to 4
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)
d = [tex]\sqrt{(2-2)^2+(a+1)^2}[/tex] = [tex]\sqrt{0+(a+1)^2}[/tex] = [tex]\sqrt{(a+1)^2}[/tex] = a + 1 then
a + 1 = 4 ( subtract 1 from both sides )
a = 3
note: enter your answer and show all the steps that you use to solve this problem in the space provided. write and solve an equation that represents the following situation: 35 people paid a total of $245 for admission to a local soccer game. what is the price of admission?
The price of each admission is 7
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total amount paid for admission = $245
Total number of people=35
So,
let the price of admission be x
So, 35x= 245
Now dividing both side by 35
35x/35=245/35
x= 7
Hence, price of each admission is 7.
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what is an explicit formula for the following sequence 1,5,9,13,17 ? plssss helppp mee
Answer:
plus 4 every time
Step-by-step explanation:
1+4=5+4=9+4=13+4=17
Todd swam three trials of the 50-meter freestyle. His time was 32.15 seconds for the first trial, 31.67 seconds for the second trial, and 30.55 seconds for the third trial. Part A What is Todd's combined time for all three trials? Enter your answer in the box. seconds Part B How much faster was Todd's second trial than his first trial? Enter your answer in the box. second(s)
Answer:
A. 94.37 seconds
B. 0.48 seconds
Step-by-step explanation:
Total distance = 50 meters
First trial = 32.15 seconds
Second trial = 31.67 seconds
Third trial = 30.55 seconds
A. What is Todd's combined time for all three trials
Todd's combined time for the three trials = First trial + Second trial + Third trial
= 32.15 seconds + 31.67 seconds + 30.55 seconds
= 94.37 seconds
B. How much faster was Todd's second trial than his first trial?
Second trial = 31.67 seconds
First trial = 32.15 seconds
Time taken for first trial - Time taken for second trial -
= 32.15 seconds - 31.67 seconds
= 0.48 seconds
Todd's second trial was 0.48 seconds faster than his first trial
let s be the annual sales (in millions) for a particular electronic item. the value of s is 53.4 for 2008 . what does s
The meaning of s in the question is that it means the Annual Sales for a particular electronic item is 53.4millions for the year 2008
The Annual sales is the total amount of money that a company makes during the period of 12 months for the sale of a product.
In the question it is mentioned that the value of s is 53.4 for the year 2008.
and s denotes the annual sales for electronic item in that particular year .
S in the statement means Annual Sales for a particular electronic item in the year 2008 was of 53.4 millions.
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Josiah is 5 years older than Alexis. In 7 years the sum of their ages will be 85. How old is Josiah now?
Can you help me solve it!!
Answer:
Step-by-step explanation:
Alexis is X years old
Josiah is X + 5 years old
in 7 years:
Alexis is x + 7 years old
Josiah is x + 5 + 7 => x + 12 years old
Sum of their ages is 85 :
x + 7 + x + 12 = 85
2x + 19 = 85
2x = 85 - 19 = 66
x = 66/2 = 33 => Alexis age
Josiah is x + 5 = 33 + 5 = 38 years old
Which equation describes the lines passing through (4,-2) with a slope of 1/2?
A. y = 1/2x + 5
B. y = 1/2x + 4
C. y = 1/2x - 2
D. y = 1/2x - 4
Answer:
y = 1/2x +4
Step-by-step explanation:
Write in y = mx + b form.
In the following expression, 7x +15, what is the 7?
A. coefficient
B. term
C. constant
D. variable
Answer:
A. coefficient
Step-by-step explanation:
A constant is the number that isn't with any variable, which in this case, the constant would be 15.
A variable is a unknown value, which in this case, the variable would be x.
The term are the numbers in the equation, which in this case, the terms would be 7x and 15.
The 7 in the expression 7x + 15 is the coefficient.
The correct option is A.
What is an expression?A term is composed of one mathematical expression. A single variable (a letter), a single integer (positive or negative), or a number of variables that have been multiplied but never added or subtracted are all examples of single variables. There is a number in front of certain words that are variables. A word or phrase is preceded by a coefficient.
In general, a coefficient is the numerical factor of a term that contains a variable. In this case, the term containing the variable x is 7x, and the coefficient of this term is 7. The term 15 is a constant term, which is a term that does not contain any variables.
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1/4 of the original price is marked down if the sales price is 128.00 what is the original price DONT not round your answer to the nearest hundredth
Answer:
Ipguifiyfohvlbouviyfiyfyivojviyc itcitditcyivuy if it go
help pls
i will be friend
Answer:
brainliest pls
Step-by-step explanation:
In your own words, explain the steps you would need to take to find slope from data in a table.
When I say "your own words" PLEASE DON'T GIVE ME THE SAMPLE RESPONSE ON EDGE
Answer:
For me when I am finding the slope I actually use the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex].
Step-by-step explanation:
Step 1 you have to find the x and y
Step 2: Use the slope formula
Step 3: Subtract y2 and y1 to get your answer
Step 4: Subtract x2 and x1 to get your answer
Step 4: If your answer is easy to divide simplify it, if not leave it as it is
That's all I know
I hope this helps :)
Answer:
Choose two sets of data (x and y values). Calculate the difference between the two y values. Calculate the difference between the corresponding two x values. Slope is the difference in y values / difference in x values.
Hope this Helps!
homeworklibexpress the area a of a right triangle as a function of the height h if the base of the triangle is twice its height?
Answer:
A = h²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
here b = 2h , then
A = [tex]\frac{1}{2}[/tex] × 2h × h = h × h = h²
At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What was the original price?
Answer: $134.40
Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.
PLEASE HELP ITS DUE TMR
Answer:
it's 42 my bad...
Step-by-step explanation:
Answer:
Choice C 42 in^2
Step-by-step explanation:
Area of a triangle= 1/2(b)(h)
= 1/2(3)(6)
= 9
Since there is two triangles we can do:
9(2) = 18
Area of a rectangle = (b)(h)
= (4)(6)
= 24
24+18 = 42 in^2
Solve for linear equations by substitution
x + 2y = 6
X-y=3
Answer:
Let's solve your system by substitution.
x+2y=6;x−y=3
Step: Solvex+2y=6for x:
x+2y=6
x+2y+−2y=6+−2y(Add -2y to both sides)
x=−2y+6
Step: Substitute−2y+6forxinx−y=3:
x−y=3
−2y+6−y=3
−3y+6=3(Simplify both sides of the equation)
−3y+6+−6=3+−6(Add -6 to both sides)
−3y=−3
−3y
−3
=
−3
−3
(Divide both sides by -3)
y=1
Step: Substitute1foryinx=−2y+6:
x=−2y+6
x=(−2)(1)+6
x=4(Simplify both sides of the equation)
Answer:
x=4 and y=1
Step-by-step explanation:
Answer:
x=4 and y=1
Answer the following question and will mark Brainliest
Answer:
[0, ∞)
Step-by-step explanation:
The domain is the x values in a function. As you can see from the graph, the function touches zero (touching meaning the value zero is bracketed) and goes to infinity (infinity is parenthesis).
If a value is included it is bracketed. If it is not included it is used with parenthesis (infinity cannot be reached to it is used with parenthesis).
What is 1% of 75? explain how
Answer:
0.75
hope it helps
plz mark brainliest
Answer:
0.75
Step-by-step explanation:
1%×75
=1/100×75
=0.01×75
=0.75
is 4(5c + 3) and 9c + 7 equivalent?
Answer:
No sir
Step-by-step explanation:
when you see Parentheses beside a number it means your mutiplying
your answer would be: 20c + 12
Answer:
Find the exact value using trigonometric identities.
20
c
+
12
Step-by-step explanation: 20 c + 12 c will give you your answer.
Using the diagram below and with reference to the angle θ, state the length of the opposite side.
The diagram is not drawn to scale.
cm
Answer:
given,
θ is the angle of the opposite side
cm=θ
distance between (-4,0) and (2,2)
8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4, 4)}
a) Yes
b) No
Answer:
A
Step-by-step explanation:
Can someone help, I need to pass. Find the value of k
Answer:
D
Step-by-step explanation:
45+62=107
180-107=73
Answer:
D) k=73
Step-by-step explanation:
easy triangles add up to 180
180-62-45=73
Brainliest please
Can someone help me plz I will mark brainliest
Answer:
the answer its C i hope i Helped you
Step-by-step explanation:
Answer:
C. infinitely many solutions
Step-by-step explanation: