Answer:
(n = 12)
Step-by-step explanation:
-2n - 16 = 4n + 8
+4n +4n
2n - 16 = 8
+ 16 +16
2n = 24
2 2 = 12
(n = 12)
The graph shows the function f(x) = 3^x. What is the value of f ^–1 (x) at x = 3?
The value of the inverse function f⁻¹(x) at x = 3 is 0.631.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
The function f(x) = 3ˣ is a one-to-one function, which means it has an inverse function denoted by f⁻¹(x).
To find the value of f⁻¹(x) at x = 3, we need to solve the equation f(x) = 3ˣ = 3 for x.
3ˣ = 3
Divide both sides by 3:
3ˣ/3 = 3/3
Simplify:
3ˣ-1 = 1
Take the natural logarithm of both sides:
ln(3ˣ-1) = ln(1)
Simplify:
ln(3ˣ-1) = 0
Now we can solve for x:
ln(3ˣ-1) = 0
3ˣ-1 = e⁰ = 1
3ˣ = 2
x = log₃(2)
So, f⁻¹(3) = log₃(2) ≈ 0.631.
Therefore, the value of f⁻¹(x) at x = 3 is 0.631.
Learn more about inverse functions here:
brainly.com/question/2541698
#SPJ2
Which integer is NOT less than -21?
A. -30
B. -100
C -19
D -25
Answer:
Well -19 is less than -21 so it's the other three.
So it's -30, -100 and -25
What is the least possible positive integer-value of n such that sqrt{18\cdot n \cdot 34}$ is an integer?
Answer:
n = 17. This means, √(18 x 17 x 34) = √(10404) = 102.
Step-by-step explanation:
An integer is a number that is not a fraction.
Given √(18 x n x 34), for the expression to be an integer, the product must be a perfect square. We are looking for n, the smallest number to multiply 18 x 34 to make it a perfect square. We have:
18 x 34 = 2 x 9 x 2 x 17 = 2 x 3 x 3 x 2 x 17 = 2² x 3² x 17.
From here, we see that we need to multiply an extra 17 to make it a perfect square, therefore n = 17. So we have:
√(18 x 17 x 34) = √(10404) = 102
The least possible positive integer-value of n such that [tex]\sqrt{18\cdot n \cdot 34}[/tex] is an integer is 17
The expression is given as:
[tex]\sqrt{18\cdot n \cdot 34}[/tex]
Expand the equation
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 9 \times n \times 2 \times 17}[/tex]
Express 8 as 3^2
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 3^2 \times n \times 2 \times 17}[/tex]
Rearrange the factors as follows:
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 2\times 3^2 \times n \times 17}[/tex]
Express 2 * 2 as 2^2
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2^2\times 3^2 \times n \times 17}[/tex]
Evaluate all exponents
[tex]\sqrt{18\cdot n \cdot 34} = 2\times 3 \times \sqrt{n \times 17}[/tex]
[tex]\sqrt{18\cdot n \cdot 34} = 6 \times \sqrt{n \times 17}[/tex]
For the expression to be an integer, then the radical must be a perfect square.
Given that the expression in the radical is [tex]{n \times 17[/tex], then the value of n must equal 17, at the very least
i.e.
[tex]n = 17[/tex]
Hence, the least possible positive integer-value of n is 17
Read more about integers at:
https://brainly.com/question/13136492
The sum of two numbers is 51.
The difference of the same two numbers is 9.
What are the two numbers?
Answer:
21 and 30
Step-by-step explanation:
x + y = 51
x - y = 9
add the two equations and y's will cancel out
2x = 42 divide by 2
x = 21 so put 21 in for x in the top equation and solve
21 + y = 51
y = 30
There are 4 red marbles, 2 blue marbles, and 6 green marbles in a bag. What is P(red)?
Answer:
well 1/3 is red
Step-by-step explanation:
What was the original price of a bookshelf whose price is $16, when there is a sale for 75% off of the original price?
Answer:
$64.00
Step-by-step explanation:
64-75%
Brianne evaluated the expression 42+4(6-2)
Answer:
Follow the rule of BODMAS (brackets, of, division, multiplication, addition, subtraction)
Ans: 58
Step-by-step explanation:
42 + 4(6 - 2) Process --> 6 - 2 = 4
= 42 + 4 * 4 Process --> 4 * 4 = 16
= 42 + 16 Process --> 42 + 16 = 58
= 58
Hope this helps :)
A musician started his practice at 10:15 p.M. He finished his practice at 11 p.M. How many minutes did he practice?
Answer:
45 minutes
Step-by-step explanation:
Answer:
45 minutes
Step-by-step explanation:
60(an hour, 11pm) - 15 = 45
The original price of a suit is $150. The store decides to mark up the suit 75%. What price is the store selling the suit for?
Answer:
262.50
i think thats the answer.
Answer:
$162.50
Step-by-step explanation:
75% of 150 is 112.5
112.5 + 150 = 162.5
If you answer correctly I will release a new question worth 100 points
Sir, what were the cases of Cherokee Nation v. Georgia and Worchester v. Georgia? How do the cases relate to what is happening now? (Question 2 is directed to the Native American man on the horse)
Answer:
Use the Difference of Squares rule to multiply (7x−3)(7x+3)
HELPPPP
Answer:
x^4 + 7x^3 + 12x^2
Simplifying
x4 + 7x3 + 12x2
Reorder the terms:
12x2 + 7x3 + x4
Factor out the Greatest Common Factor (GCF), 'x2'.
x2(12 + 7x + x2)
Factor a trinomial.
x2((4 + x)(3 + x))
Final result:
x2(4 + x)(3 + x)
Step-by-step explanation:
an equivalent expression
5(x+10)+x
Answer:
6x+50 is the answer if u simplify it
Step-by-step explanation:
Answer:
6x+50
Step-by-step explanation:
Distribute the 5 and add
5x+50+x=6x+50
Helppppppppppppppppppppppppppppppppppppp
Answer:
1.25X+3
Step-by-step explanation:
(-4,8) AND (4,-2)
Rise
-------
Run
8+2 = 10
-4-4= -8
1.25
from the y intercept 0, the line is a 3, (0,3)
PLS
HELP AND IF U DONT KNOW THEN DONT ANSWER.IF H ANSWWR RIGHT ILL GIVE BRAINLIEST
Answer:
Additive inverse: a+(-a)=0
Additive identity: a+0=a
Multiplicative inverse: a•1/a=1
Multiplicative identity: a•1=a
Step-by-step explanation:
4.
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
legs: 24 in. and 16 in.
A. 34.7 in.
B. 31 in.
C. 28.8 in.
D. 17.9 in.
Answer:
The answer is C. 28.8 in
Step-by-step explanation:
Given a=16 and b=24,
c = 28.84441 = 8√13
∠α = 33.69° = 33°41'24" = 0.588 rad
∠β = 56.31° = 56°18'36" = 0.98279 rad
h = 13.3128
area = 192
perimeter = 68.84441
inradius = 5.57779
circumradius = 14.42221 = 4√13
i need help with the question below
(20 POINTS AND BRAINLIEST IF ANSWERED CORRECTLY)
Patricia claims she can graph a fourth degree polynomial function with 4 turning points. Is this possible or impossible?
Answer:
it is posible...because tha polynomial have expression than two algebriac
!!!!NEED HELP ASAP PLS PLS PLS !!!
In a valley, Checkpoint A is located at 44 feet below sea level. Checkpoint B is located at 77 feet above sea level. How much higher is Checkpoint B than A?
121 feet
111 feet
33 feet
−33 feet
DO THESE ALL PLZZ IM GIVING BRAINLIEST
Answer:
2/3, 2 and 1/6, 9/2
3:4 or 3/4
38%, 19/50, 0.38
97%, 97/100, 0.97
Step-by-step explanation:
Answer:
Step-by-step explanation:
5) Red : Green = 15 : 20 = 3 : 4
6) a) 28%
[tex]\frac{28}{100}[/tex]
0.28
b) 97%
97/100
0.97
Let f(x) and g(x) be polynomials as shown below.
Which of the following is true about f(x) and g(x)?
f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial.
f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial.
Answer:
i think it is a but i am not sure please let me know
Step-by-step explanation:
good luck!
Find the volume of a juice box that is 3 in by 1 1/2 in by 4 inches
Answer:
The volume of a juice box is 18 cubic inches.
Step-by-step explanation:
Given the dimensions
3 in by 1 1/2 in by 4 inchesInterpreting the dimensions such as:
[tex]l = 3[/tex] inch[tex]w=1\frac{1}{2}=\frac{3}{2}[/tex] inch[tex]h = 4[/tex] inchUsing the formula to determine the volume
[tex]V=\:l\:\times \:w\:\times \:h[/tex]
substitute l = 3, w = 3/2, h = 4
[tex]V=3\times \frac{3}{2}\times \:4[/tex]
[tex]V\:=\:\frac{36}{2}[/tex]
[tex]V = 18[/tex] cubic inches
Therefore, the volume of a juice box is 18 cubic inches.
4 Two rectangles have a scale factor of 3. If the area of the smaller rectangle is 45, what is the area of the larger rectangle?
Answer:
I need the PONTS
Step-by-step explanation:
Mr. Roble is traveling to the store and drives 4 miles in 16 minutes. Write a unit rate that describes Mr. Roble's trip to the store.
Answer: 4 miles = 16 min
4 miles : 16 min
Step-by-step explanation:
You have to multiply by the same number
The unit rate that describes Mr. Roble's trip to the store is 0.25 miles per minute.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Mr. Roble is traveling to the store and drives 4 miles in 16 minutes.
∴ The unit rate that describes Mr. Roble's trip to the store is,
= (4/16) miles per minute.
= 1/4 or 0.25 miles per minute.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ5
Find the circumference of a circle with radius of4 inches use 3.14 for pi round your answer to the nearest hundredth
Answer:
25.136 in
Step-by-step explanation:
Step one:
given data
radius = 4 inches
Circumference= 2πr
substitute
C=2*3.142*4
C=25.136 in
The circumference is 25.136 in
Did I get this right I need help plz
Answer: Choice C) 6x+5y = -20
You have the correct answer. Nice work.
=================================================
Work Shown:
y = (-6/5)x - 4
5y = 5*( (-6/5)x - 4 )
5y = 5*(-6/5)x - 5*4
5y = -6x - 20
6x+5y = -20
-----------
Explanation:
In the second step, I multiplied both sides by 5 to clear out the denominator. Two steps later (step 4), we have 5*(-6/5)x turn into -6x, so the fraction goes away.
In the last step, I added 6x to both sides to get the equation into standard form Ax+By = C. In this case, A = 6, B = 5, and C = -20.
If the sales tax for the city of Los Ángeles is 9.75% , how much tax would you pay for an item that costs $200.00
Answer:
219.50
Step-by-step explanation
9.75% can be converted into 0.0975 so multiply 0.0975 by 200 you get 19.5. add 19.5 to 200 and you get 219.50
Reina and Sam are multiplying (84)5 (73)9.
Reina's Work Sam's Work
(84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 820727
Is either of them correct? Explain your reasoning.
Answer: So Reina and Sam are multiplying (84)5 (73)9 and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's (84)5 (73)9 = 84-573-9 = 820727
So Sam's Actually they are doing or multiplying using exponents. Reina's work (8*)s(7³)º=8*+5+ 73+9= 8° 712 This is incorrect because she added exponents instead of multiplying exponents Sams work (8*)5 (7³)º=84x5 73x9= 820 727 This is correct because Sam multiplied exponents correctly Exponents are multiplied not added.
Step-by-step explanation: Have a blessed day and hope this helps.
My reasoning is in there. I calculated I hope that is helps a lot. god bless you
I need to know how to solve this and the answer
The figure below has a point marked with a large dot.
First, translate the figure 8 units to the left and 7 units up.
Then, give the coordinates of the marked point in the original figure and the final figure.
Point in original figure:
Point in final figure:
!!
Answer:
I'm pretty sure it's
original (4, -4)
final figure (-4, 3)
2(6k+8)-6k=4
What is the answer
Answer:
k=-2
Step-by-step explanation:
2(6k+8)-6k=4
12k+16-6k=4
6k+16=4
6k=-12
k=-2
