Answer:
f⁻¹(x) = 2ˣ / 9
Step-by-step explanation:
f(x) = log₂ (9x)
y = log₂ (9x)
swap y and x: x = log₂ (9y)
solve y: 9y = 2ˣ y = 2ˣ / 9
f⁻¹(x) = 2ˣ / 9
The equation of the inverse of the function f(x) = log2 (9x) should be considered as the [tex]f^{-1}(x) = 2^x / 9[/tex]
Calculation of the equation of the inverse of the function:Since
f(x) = log₂ (9x)
So,
y = log₂ (9x)
Now
swap y and x so x = log₂ (9y)
And, now we have to solve for y
9y = 2ˣ
y = 2ˣ / 9
f⁻¹(x) = 2ˣ / 9
Hence, The equation of the inverse of the function f(x) = log2 (9x) should be considered as the [tex]f^{-1}(x) = 2^x / 9[/tex]
Learn more about equation here: https://brainly.com/question/8208446
Are the points (12, 11), (2, 7), (5, 9), and (1, 5) part of the same linear function?
what is prime factorization in math??
expressing a number with products of prime number
Answer:
P rime Factorization" is finding which prime numbers multiply together to make the original number.Step-by-step explanation: so like 3x3 equal 9. the prime will be 3 and 3 so it will just be like 3x3
Pls help me Solve this 3 questions. ASAP *Angles
Answer:
Question one 1=27.5° 2=33° 3=27.5° 4=59°
Step-by-step explanation:
hope this helped
A) Make a table of values for sequence 6,11,16,21,26,.....
B) write an algebraic expression for the general term of the sequence
C) use your expression for general term to calculate the 25th term in the sequence
Answer: See explanation
Step-by-step explanation:
The sequence is gicen as 6,11,16,21,26. Here, the first term (a) = 6, common difference = 11 - 6 = 5
Therefore, since it's an arithmetic progression, the algebraic expression for the general term of the sequence will be given as:
= a + (n-1)d
= 6 + (n-1)5
= 6 + 5n - 5
The 25th term in the sequence would be:
= 6 + 5n - 5
= 6 + 5(25) - 5
= 6 + 125 - 5
= 126
Which expression is equivalent to "9 more than the quotient of x and 5"?
Answer:
x/5+9
Step-by-step explanation:
The expression "9 more than the quotient of x and 5" in the mathematical form will be 9 + x / 5.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression "9 more than the quotient of x and 5" that is converted into mathematical form is written as,
⇒ 9 + x / 5
The expression "9 more than the quotient of x and 5" in the mathematical form will be 9 + x / 5.
More about the equivalent link is given below.
https://brainly.com/question/889935
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HELP ME PLEASE........
WHAT IS A MULTIPLE OF 5 yoy have to add 3 to it an it can be divided excatly by by 7 answer is between 14 an 32
Answer:
The multiple of 5 is 25
Step-by-step explanation:
The computation of the multiple of 5 is given below:
The multiple of 5 are 5, 10,15,20,25 etc
And, the answer would be lies between 14 and 32
So here we took 25
As if we took 25 and now we add 3 the number would be 28 which is easily divisible by 7
Therefore the multiple of 5 is 25
what is percent of increase from 15 to 60?
Answer: 300 percent
Step-by-step explanation:
Where: 15 is the old value and 60 is the new value. In this case we have a positive change (increase) of 300 percent because the new value is greater than the old value.
Answer:
400%
Step-by-step explanation:
60/15 = 4
4 * 100 = 400 %
A recipe uses 2/3 cup of water and 2 cups of flour. Write the ratio of water to flour as described by the recipe. Then find the value of the ratio.
Answer:
3 2\3..hope this helps on ratios
Helpppppp plssss ! :(
Please help me with acellus
Answer:
5x-7+3x+27=180
8x=180-20
x=20
If (5,-12) is a point on the terminal side of an angle θ, find the value of sinθ, cosθ, and tanθ.
Answer:
Given point (5,-12) falls into IV quadrant
The right triangle with legs of 5 and -12, and hypotenuse is:
√5² + (-12)² = √25+144 = √169 = 13Value of sinθ, cosθ, and tanθ:
sin θ = -12/13cos θ = 5/13tan θ = -12/5helpppppppppppppppppp
Answer:
From my understanding of the question its 104.58 for the first picture (8.3x3x4.2)
Step-by-step explanation:
All you need to do is multiply the length width and height. it will give you the volume of the object. For your understanding, you can try the second one as practice for these type of problems.
Evaluate. Write your answer as a fraction or whole number without exponents 2^-4
Simplify the expression.
q+12q
a. -13q
b. -11q
c. 11q
d. 13q
Answer:
13q
Step-by-step explanation:
q is the same as 1q
1q + 12q = 13q
For what value of x is line a parallel to line b?
Answer:
x = 22
Step-by-step explanation:
(4x + 28)° = 116° (corresponding angles)
4x + 28 = 116
4x = 116 - 28
4x = 88
x = 88/4
x = 22
For x = 22 line a parallel to line b.
A painter charges $15.91 per hour, plus an additional amount for the supplies. If he made $175.81 on a job where he worked 6 hours, how much did the supplies cost?
Task 5
If m
1: What is the angle pair relationship?
2: Find x.
7
3: Find m
4: Find the measure of
please help!! find n and o. i will give brainliest and 40 points!!
Answer:
i believe that o = 72 and I cant see the other number half of the picture is cut off
Step-by-step explanation:
Answer:
Step-by-step explanation:
These look like congruent triangles.. and since I can't see the whole picture I'll just go with that they are
so 70 * x = 85
x = 43/35 (1.22857)
n= 43/35 something 3 ft.... I can't see the whole number
maybe it's 63 .. if so then the answer is 77.4
if not.. just plug what ever number is there into n = x * 43/35 where x is the number that matches n on the other triangle
o =43/35 * 90 = 110.57
What is the equation of the line that has a slope of -0.5 and passes through the point (6, 10)?
mark as brilliant! help
John has 24 chocolate bars and 20 packs of crisps. How many friends could he share them so that he would not have any left over
Answer:
4 friends
Step-by-step explanation:
We solve using GCF Method
We find the factors of 20 and 24
The factors of 20 are: 1, 2, 4, 5, 10, 20
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
Then the greatest common factor is 4.
Therefore, the number of friends he can share it with, without having left overs are 4 friends
QUESTION IS ATTACHED WILL GIVE BRAINLY
Answer:
C
Step-by-step explanation:
Natasha’s cat will be having four kittens. Natasha performs a simulation by tossing a coin to model whether these kittens will be male or female.Let heads (H) = female kittenLet tails (T) = male kittenThe results of the simulation are:1. HHHT 6. TTHT2. HHHH 7. HHHT3. HHTH 8. TTHH4. THTH 9. THHT5. THTT 10. HTTTWhat is the estimated probability that at least three of the kittens will be male
Answer:
3/10 (30%)
Step-by-step explanation:
There are 3 groups out of 10 group of 4 kittens where most are male. 2/10 = 30%.
Answer: 30%
Step-by-step explanation:
Kaya rented a limousine for prom.
Answer:
That's really nice!. But you could also say For prom, Kaya rented a limousine OR A limousine was rented for prom, by Kaya. :)
find the inequality represented by the graph .
Answer:
The inequality represented by the graph is y ≤ [tex]-\frac{3}{2}[/tex] x - 2
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0)The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineFrom the given figure
∵ The line passes through points (0, -2) and (2, -5)
∴ x1 = 0 and y1 = -2
∴ x2 = 2 and y2 = -5
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{-5--2}{2-0}[/tex] = [tex]\frac{-5+2}{2}[/tex] = [tex]\frac{-3}{2}[/tex]
∴ m = [tex]-\frac{3}{2}[/tex]
→ b is the value of y at x = 0
∵ At x = 0, y = -2
∴ b = -2
→ Substitute the value of m and b in the form of the equation above
∵ y = [tex]-\frac{3}{2}[/tex] x + -2
∴ y = [tex]-\frac{3}{2}[/tex] x - 2
∴ The equation of the line is y = [tex]-\frac{3}{2}[/tex] x - 2
∵ The line is solid
∵ The shaded area is under the line
∴ The sign of inequality is ≤
→ Replace = in the equation by ≤
∴ y ≤ [tex]-\frac{3}{2}[/tex] x - 2
∴ The inequality represented by the graph is y ≤ [tex]-\frac{3}{2}[/tex] x - 2
Kate has already taken 24 quizzes during this past quarter of school and she expects to have one quiz during each week of this current quarter how many weeks of school will Kate have to attend this quarter before she will have taken a total of 33 quizzes?
Answer:
9 weeks
Step-by-step explanation:
Identify the percent rate of change of y=90(0.65) to the power of t
Answer:
I need the same question
Write the phrase as an expression. Then evaluate the expression when $y=20$ . the quotient of 40 and the difference of a number $y$ and 16 Expression
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, firstly the Quotient has to divide the answer, and then the response in subtraction is the difference.
[tex]\to \frac{40}{( y - 16)} \\\\\\\to \frac{40}{( 20 - 16)} = \frac{40}{4}= 10[/tex]
SG and SH are complementary. If the measure of SH is 72°, what is the measure of SG?
Answer:
18°
Step-by-step explanation:
Complementary angles total with 90°
If SG and SH are complementary, you subtract 72° from 90° or 90-72 which is 18°
Answer:
Complementary angles total with 90°
If SG and SH are complementary, you subtract 72° from 90° or 90-72 which is 18°
Step-by-step explanation:
A square has a diagonal of length 5 cm. What is the area of the square?
Answer: Square
Solve for area
A=12.5cm²
Step-by-step explanation: