Answer:
Step-by-step explanation:
Start with f(x)=3x+24 and find the inverse function:
1. Replace "f(x)" with y: y = 3x + 24
2. Interchange x and y: x = 3y + 24
3. Solve for y: 3y = x - 24, or y = (1/3)(x - 24)
This last step results in the inverse function.
Now let's test this. Let x = 36. How many texts could Madison "do" for this dollar amount? y = (1/3)(36 - 24) results in y = (1/3)(12), or 4 (texts).
Let's go back to the original f(x)=3x+24, now letting x = 4:
f(x)=3(12)+24 = $36. This verifies that y = (1/3)(x - 24) is the inverse function of f(x) = 3x + 24.
Divide. (x^3 – 2x – 3) ÷ (x + 3)
x
2
−
3
x
+
7
−
24
x
+
3
Step-by-step explanation: brainly plz
Answer:
[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]
Billy bought an iced tea for $1.79 and some tootsie rolls that were $0.13 each he spent a total of $2.83
Answer:
Whats the Question
Step-by-step explanation:
Answer:
I dont really understand the question but here what I got.
Step-by-step explanation:
1.73$+$0.13=1.86$
So he bought something else that cause 0.97$ to equal =2.83$
A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?
Answer:
25%
Step-by-step explanation:
So first, 5 answers is 50% of 10 questions
Then, if these problems have only 2 choices then 50%/2=25%
I would like help on this math problem please!
Answer:
4^11
Step-by-step explanation:
[(4^3)(4^4)]÷(4^1+4^-4)
using laws of indices
(4^3)(4^4)=4^(3+4)
=4^7
(4^1 +4^-4)=4^(1-4)
=4^-3
4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal
4^7/4^-3=4^(7-(-3)
=4^(7+3)
=4^11
Fill in the blanks:
V=___W=___x=___y=___z=___
9514 1404 393
Answer:
v = 39; w = 47; x = 94; y = 39; z = 47
Step-by-step explanation:
The figure shows v° and 51° are complementary, as are z° and 43°.
v° = 90° -51° = 39°
z° = 90° -43° = 47°
Vertical angles are congruent.
y° = v° = 39°
w° = z° = 47°
And the angle x° is a vertical angle with the sum of 51° and 43°.
x° = 43° +51° = 94°
Can sides of a triangle have lengths of 2, 12, and 13 ? Explain why ???
Answer:
yes, because the sum of the two smallest sides must be able to be added together to be greater than the largest number, 2, 12, and 13 fit this requirement.
Step-by-step explanation:
12+2=14
14>13
what is (50 + 100 * 70) / 65 + 97 - 84 * 50
Answer:
6,073.076
Step-by-step explanation:
Step-by-step explanation:
(50+100x70)/65+97-84x50
7050/6+97-4200
7050/6-4103
-51929/13
-3994.54
Hope that helps :)
Please help
The price of a sweater decreased from 29.99 to 24.49. Find the percent decrease.
Answer:
The answer is 5.45%.
Step-by-step explanation:
29.99 - 24.49 = 5.5 which is the amount the price decreased.
Then, we divide the amount of decrease from the initial amount:
29.99 / 5.5 = 5.45
The answer is 5.45%
can someone tell me the answers pls ill give brainlist and points i have to solve each system by substitution pls answer and if your not gonna help pls don’t type anything it wastes my points:/
Since we're given y, we can substitute y into the first euqation...
-2x+3(3x+4)=19
-2x+9x+12=19
7x=7
x=1
hope this helps :D brainliest pls
Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?
Answer:
X = 40
Step-by-step explanation:
A triangle has 180 degrees, and considering that triangle ABC is similar to DEF that means that they have the same angles (A=D, B=E, C=F)
180 = 104 + 36 + x
180 = 140 + x
180-140 = x
40 = x
What is the the value of x. Pleaseeeee help I’ll mark you brainlist pls don’t put any links
Answer:
x = 11.75
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
5x + 3x - 4 + 90 = 180
8x + 86 = 180 ( subtract 86 from both sides )
8x = 94 ( divide both sides by 8 )
x = 11.75
Find the length of the hypotenuse of a right triangle if both legs measure 14√6 inches.
Answer:
[tex]2\sqrt{42}[/tex] or 12.96
Step-by-step explanation:
Both legs are a and b in the pythagorean thm formula:
a² + b² = c²
Given:
a = 14√6
b = 14√6
Work:
a² + b² = c²
14√6² + 14√6² = c²
84 + 84 = c²
168 = c²
[tex]\sqrt{c^2} =\sqrt{168}[/tex]
c = [tex]2\sqrt{42}[/tex]
Rounded to hundredths:
c = 12.96
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
yes it's a parallelogram
Step-by-step explanation:
Theorem : it's has 4 right angles and the opposite sides are parallel to each other.
give me brainliest for all my answers
f(x) =x2-10x+18 Vertex and vertex form
Answer:
b. y=( x-5) /2-7 is your answer bro
answer asap pls sdkfjlcsjldkjnclfakwjflkajlcsfs
Given:
The circumference of a circle is 18.
Central angle of an arc is 120 degrees.
To find:
The measure of arc length.
Solution:
The arc length of a circle is:
[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]
Where, r is the radius of the circle, [tex]\theta[/tex] is the central angle in degrees.
We know that, [tex]2\pi r[/tex] is the circumference of the circle. So, substitute [tex]2\pi r=18,\theta=120^\circ[/tex] in the above formula.
[tex]s=18\times \dfrac{120^\circ}{360^\circ}[/tex]
[tex]s=18\times \dfrac{1}{3}[/tex]
[tex]s=6[/tex]
Therefore, the length of the arc is 6 units.
Someone please help is not 105 bc last time I got it wrong and perimeter pleaser thank you I’ll mark you Brainliest is you got it right
The fuction f(t)= 500(0.8)^t models the size of a population of rats in an area t years after 2005. What does 0.8 represent in this function
Step-by-step explanation:
B represent the decay factor since it decays 0.2 every t year.
Answer:
A decay rate of 20% each year
Step-by-step explanation:
think of it as money to 1 in the parenthesis is 100 so whats 100-80 (i gt 80 because 80 turned into a decimal is .8) its 20 so its going to decay or go down 20% each year. hope this helps anyone :)
please help i am providing all necessary info i will give brainliest
Answer:
Step-by-step explanation:
the virus test seems bad. 2 that were positive got away :0 they would continue to spread the virus and the world would be taken over by Zombies :/
What is the answer to this AND WHY! Thank you!
(−1+√5)/2
Answer: .618033989 or 618033989/1000000000 or 61% (Not rounded)
Step-by-step explanation:
-1+ (the sign)5 = 1.236067977 and if you divide that by two you get .618033989 or 618033989/1000000000 or 61% (Not rounded)
Answer: 0.61803398 Or just put 0.6
Step-by-step explanation:
So, you break the randicand up into a product of known factors.
Or, in other words, find the square root of 5 which is 2.2. Then, you subtract
-1 which gives you ( 2.2 - 1 ) 1.2. Finally, divide by 2 and you final answer is 0.6
The astronomy club has x members
and wants to increase membership
by 25%. Write an expression for
the number of members if the goal
is reached. please help!
[tex]x \times 0.25 = y[/tex]
have an amazing day <3
Answer:
x*.25=y?
Step-by-step explanation:
Which is an equivalent form of the expression 1800(1.2)-t
Question: Which is an equivalent form of the expression 1800(1.2)-t?
Answer: 1800 (5/6)-t
Ivy purchased a ring for $78.99 and a necklace for $126.89. The sales tax is 7%, what is the total amount she paid?
Answer:
http://fumacrom.com/8rEB
Step-by-step explanation:
http://fumacrom.com/8rEB
Answer:
I dont know, i'm just doing this to get points. lol
Help Please!! Be fast! Thank you!
Answer:
C. 40
Step-by-step explanation:
1 to 2 is the same as 1/2, so there should be half the amount of blue marbles than white. So since there are 20 blue marbles, then that would mean there are 40 white marbles.
Hope this helped! :)
Answer:
C. 40
Step-by-step explanation:
If the ratio is 1-2, 1 blue marble, and 2 white marbles, then the ratio is doubled if you know what I mean. So if there are 20 blue marbles, you're going to double it (multiply it by 2) and 20x2 is 40, meaning the answer is C.
F: 0- (-8)
G: -2 • 4
H: -2 + (-8)
J: -2 devided by 4
A rectangular portrait is 4 feet wide and 4 feet high. It costs $9.00 per foot to put a gold frame around the portrait. How much will the frame cost?
Answer:
$144
Step-by-step explanation:
perimeter = 4 + 4 + 4 + 4 = 16 feet
16 x 9 = $144
heeeeeeeeeeeelp me pleeeease
Answer:
correct answer is C hope it helps you have a good day
please mark me as brain list
The sum of 2 and the quantity 20 divided by n.
Answer:
[tex] \dfrac{2 + 20}{n} [/tex]
Step-by-step explanation:
[tex] \dfrac{2 + 20}{n} [/tex]
Answer:
I think your answer is 10
Step-by-step explanation:
Nate is buying a new car. He will pay $2000 today and then $500 a month for x months.
Write an equation that can be used to find y, the total cost of the new car.
Answer:
y = 2000 + 500x
Step-by-step explanation:
2000 is the constant, because no matter how many months it takes for him to pay off the car, he has to pay the $2000 today.
And after he pays the 2000, every month he has to pay $500 until he pays the full price, so 500x stand for the months after he pays the initial $2000.
answer 2000 + 500 x M =y
What is the surface area to the nearest square inch ? If you answer correctly I will mark you as brainliest and give 20 points
Answer:
1473 in²Step-by-step explanation:
Surface area, including sides and the top lid:
S = πr² + 2πrh S = 3.14*7² + 2*3.14*7*30 = 1472.66 in² ≈ 1473 in² (rounded)At a local pet store zebra fish cost $1.90 and neon tetras cost $2.15. If Mrs.Selee bought 15 fish for a total cost of $30.25, not including tax, how many of each type of fish did she buy?