Answer: [tex]f^{-1}(x)=\sqrt{x+49}[/tex]
Step-by-step explanation:
To find the inverse of a function, you want to switch the x with y and y with x. After that, you solve for y.
y=x²-49 [switch x with y and y with x]
x=y²-49 [add both sides by 49]
x+49=y² [square root both sides]
[tex]y=\sqrt{x+49}[/tex]
Now, we know that [tex]f^{-1}(x)=\sqrt{x+49}[/tex].
The governor of state A earns $54,675 more than the governor of state B. If the total of their salaries is $284,695, find the salaries of each.
The governor of state A earns $nothing, and the governor of state B earns $nothing.
Answer:
Government A earns 54 675 US$, Government B earns 230 020 US$
Step-by-step explanation:
7900 dollars is placed in an account with an annual interest rate of 5.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 34300
dollars?
Answer:
x=28.7
Step-by-step explanation:
I just answered the question.
Help I’m stupid and don’t know how to do this
Answer:
y = x/w
Step-by-step explanation:
1) We have to isolate y
2) An easy way to do this is to switch the places of y and w since we are just solving for y
3) Therefore, the answer is y = x/w
Hope this helps!
NEED HELP ASAP (GET GOOD POINTS)
Answer:
3 degrees in 1 hour
Step-by-step explanation:
.75 degrees
-----------------
1/4 hours
Multiply the top and bottom by 4
.75 degrees *4
-----------------
1/4 hours*4
3 degrees
------------------
1 hour
The hole for a footing needs to be 8 ft deep. If it is currently 1 ft 5 inch deep how much deeper does it need to be dug? Give the answer in inches
Josh works as a tutor for 11$ an hour and a waiter for 15$ an hour. This month he worked 106 hours. What expression solves this?
Answer: -4t + 1590
Step-by-step explanation:
Given : Josh works as a tutor for $11 an hour and as a waiter for $15 an hour.
This month, he worked a combined total of 106 hours at his two jobs.
Let t be the number of hours Josh worked as a tutor this month.
Then, the number of hours Josh worked as a waiter = 106 -t
Then, the total money earned this month ( in dollars)
= 11 (No. of hours worked as a tutor)+ 15 (No. of hours worked as a waiter)
=11(t) + 15(106-t)
= 11t+1590-15t
= -4t+1590
Hence, the expression for the combined total dollar amount he earned this month =
The algebraic expression to this problem is 11x + 15y = 106
What is algebraic expression?Algebraic expressions have variables, numbers, and operations. A variable is a letter that represents an unknown amount.
Let number of hours Josh worked as a tutor be x hour.
Let number of hours Josh worked as a waiter be y hours.
The equation becomes -
11x + 15y = 106
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Barbara has 9 stuffed animals. Trish has 3 times as many stuffed animals as Barbara. How many stuffed animals does Trish have?
Answer:
27
Step-by-step explanation:
9 + 9 + 9 = 27
I hope this helps :)
Answer:
trish has 27 because 9 times 3=27 love yall
Step-by-step explanation:
All checked baggage on a particular airline company must not exceed 64 inches or an additional fee is charged.
The size of the baggage is determined by adding length + width + height.
If a bag has a height of 22 inches and a width
that is 16 inches less than the length, what lengths are acceptable for the bag to be checked free of charge?
If the bag is to be checked free of charge. its length must be __ inches or less.
vhbhbububjbvuvhjuvvbihjbuvi
Answer:
thanks
Step-by-step explanation:
:) hahahahahah
Name the two subset(s) of real numbers to which the number -10 belongs
Answer:
The positive and negative whole numbers are the Integers. Note that Natural numbers are a proper subset of the Integers which, in turn, is a proper subset of the Rationals. 45,368 is Natural, Whole, Integer, AND Rational.
Step-by-step explanation:
If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
shown to the right
new road
10,000 m
24,000 m
The cost of building the new road is s
(Round to the nearest dollar as needed)
Answer:
$4,160,000
Step-by-step explanation:
First, find the length of the new road in km using Pythagorean Theorem.
According to Pythagorean Theorem:
c² = a² + b²,
Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.
Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
c² = 24² + 10²
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Lenght of the new road = 26 km
If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000
The cost of building the new road is $4,160,000.
Calculation of the cost of building:here we determine the length by using the Pythagorean Theorem.
So,
[tex]c^2 = a^2 + b^2[/tex]
Here
c is the longest leg
And, a and b are the 2 other legs of the ∆.
Now
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
So,
[tex]c^2 = 24^2 + 10^2[/tex]
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Now the cost should be
= 160,000(26)
= $4,160,000
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3s – 12 = -21
Solve for s
Answer:
S= -3
Step-by-step explanation:
3s-12=-21
3s= -21+12
3s= -9
s= -9/3
s= -3
Answer:
s = -3
Step-by-step explanation:
[tex]3s - 12 = - 21[/tex]
Collect like terms
[tex]3s = - 21 + 12[/tex]
Add the numbers :
[tex] - 21 + 12 = - 9 \\ \\ 3s = - 9[/tex]
Divide both sides of the equation by 3
[tex] \frac{3s}{3} = \frac{ - 9}{3} [/tex]
Simplify
[tex]s = - 3[/tex]
Combine the like terms to create an equivalent expression:
\large{-k-(-8k)}−k−(−8k)minus, k, minus, left parenthesis, minus, 8, k, right parenthesis
Answer:
7k
Step-by-step explanation:
−k−(−8k) = -k +8k = 7k
Use the number line below, where , , and . a. What is the value of y? b. Find RS and ST. R S T a. What is the value of y? y 4 (Type an integer or a decimal.) b. Find RS and ST. RS 4.2 (Type an integer or a decimal.)
Answer:
y = 4
RS = 35
ST = 26
Step-by-step explanation:
Given:
RS = 8y + 3
ST = 5y + 6
RT = 61
Required:
a. Value of y
b. Numerical lenght of RS and ST
SOLUTION:
a. Points R, S and T are collinear, therefore, based on segment addition postulate, the following equation can be created to find the value of y:
[tex] RS + ST = RT [/tex]
[tex] (8y + 3) + (5y + 6) = 61 [/tex] (substitution)
Solve for y
[tex] 8y + 3 + 5y + 6 = 61 [/tex]
Combine like terms
[tex] 8y + 5y + 3 + 6 = 61 [/tex]
[tex] 13y + 9 = 61 [/tex]
Subtract 9 from both sides
[tex] 13y + 9 - 9 = 61 - 9 [/tex]
[tex] 13y = 52 [/tex]
Divide both sides by 13
[tex] \frac{13y}{13} = \frac{52}{13} [/tex]
[tex] y = 4 [/tex]
b. RS = 8y + 3
Plug in the value of y
RS = 8(4) + 3 = 32 + 3
RS = 35
ST = 5y + 6
Plug in the value of y
ST = 5(4) + 6 = 20 + 6
ST = 26
Answer:
Guy above me is Wrong its 14
Step-by-step explanation:
Solve the system of equations using the tables below
Answer:
(x, y) = (0, 3)
Step-by-step explanation:
(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.
h(x) = x - 2
g(x) = 4x - 3
Find (h. g)(x)
Find the nth term of the sequence:
23, 19, 13, 5, -5.......
Answer:
Step-by-step explanation:
Given the sequence :
23, 19, 13, 5, -5.......
From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.
19 - 23 = -4
13 - 19 = -6
5 - 13 = -8
-5 - 5= -10
Hence an constant difference of - 2 after each successive difference.
Hence, this is a quadratic sequence
With the formula
an² + bn + c
9|9-8x|=2x+3 solve the equation
Answer:
the answer is this because x=39/37,6/5
5) Which of the following expressions has
the greatest value?
A-
2-3
B-2-(-3)
C2-(-3)
Need help pizzazz anyone?
Why is (-5) to the 28th power positive but without parentheses it is negative?
Answer:= (10+5^2)*((5*-2)+9-3^3)/2
= (10+25)*((5*-2)+9-3^3)/2
= (35)*((5*-2)+9-3^3)/2
= 35*((5*-2)+9-3^3)/2
= 35*((-10)+9-3^3)/2
= 35*(-10+9-3^3)/2
= 35*(-10+9-27)/2
= 35*(-1-27)/2
= 35*(-28)/2
= 35*-28/2
= -980/2
= -490
Step-by-step explanation:
please help me im confused
Answer:
it a d) option i.e d) AAS test
make me as brilliest and follow me....mWhich of the following quadrilaterals contains opposite angles that are congruent? Select all that apply.
trapezoid
isosceles trapezoid
parallelogram
rhombus
rectangle
square
The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square. The correct options are C, D, E, and F.
What are Quadrilaterals?Quadrilaterals are polygons with four sides, four vertices, and four angles.
The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square.
The opposite sides and opposite angles are equal in a parallelogram.
All sides are equal and opposite angles are equal in a Rhombus.
Opposite sides are parallel and equal, and all angles measure 90 degrees in a Rectangle.
All sides and angles are equal in a square.
Therefore, The correct options are C, D, E, and F.
To know more about Quadrilaterals
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Reply back please! Scientific Notation
Answer:
Sorry didnt realize it didnt post
2.) 1.16 x 10^-1
4.) 9.006 x 10^-9
6.) 3.68 x 10^3
8.) 6.92810457 × 10^-3
Step-by-step explanation:
11(k-1) 7(k-y) help fast ASAP IM STUCK PLESEE ALSO NEED TO SHOW WORK
Answer:
y=-[tex]\frac{4k-11}{7}[/tex]
k=-[tex]\frac{7y}{4}[/tex]+[tex]\frac{11}{4}[/tex]
what is88226 X 9991?
Answer:
881465966
Step-by-step explanation:
An error has been made in subtracting the two polynomials shown in the work below the problem is (6x^2-4x-5)-(3x^2-7x=2)
Answer/Step-by-step explanation:
Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.
6x² - 4x - 5
- 3x² - 7x + 2
= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]
= 3x² + 3x - 7
The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.
The sign is very important, it defines the value of the term.
We can choose to solve the problem in another way shown below:
(6x² - 4x - 5) - (3x² - 7x + 2)
Distributive the negative sign in the second polynomial
6x² - 4x - 5 - 3x² + 7x - 2
Combine like terms
6x² - 3x² - 4x + 7x - 5 - 2
3x² + 3x - 7
8. A pizza shop charges $7.00 for a cheese pizza and $1.50 per topping. The total charge for Megan's pizza was $11.50. Write and solve on equation to determine how many toppings Megan ordered on her pizza. Variable: Equation: Solution:
Answer:
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
Step-by-step explanation:
Let the number of topping be x.
Cost of 1 topping = $1.50
Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x
Cost of cheese pizza = $7.00
Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping
Total cost for cheese pizza for x topping = 7 + 1.5x
Given that The total charge for Megan's pizza was $11.50
thus,
7 + 1.5x = 11.50
1.5x = 11.50 - 7
1.5x = 4.5
x = 4.5/1.5 = 3
Thus, there were three toppings
______________________________________
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
Estima el producto de 767 y 5,751.
(Redondea cada número al valor posicional mayor.)
(No estoy seguro si este es el valor posicional más alto, pero estoy casi seguro). Cuando redondea estos números, obtiene 800 y 6,000. el producto de estos dos números es 4800000. ¡Espero que esto ayude! salud.
-.75X-2 = .25x
What is x
Answer:
x = -2
Step-by-step explanation:
Add 0.75x to both sides of the equation.
-0.75x -2 = 0.25x . . . . . given
-0.75x +0.75x -2 = 0.25x +0.75x
-2 = 1.00x . . . . simplify
x = -2