Answer:
f^−1(x)=2^x/4
Step-by-step explanation:
The inverse of the function will be;
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ y = log₂ (4x)
Now,
Since, The function is,
⇒ y = log₂ (4x)
Find the inverse of the function as;
⇒ y = log₂ (4x)
⇒ [tex]2^{y} = 4x[/tex]
⇒ [tex]\frac{2^{y}}{4} = x[/tex]
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Thus, The inverse of the function y = log₂ (4x) is,
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
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Select the correct answer.
What is the least common multiple of the numbers 5, 25, and 15?
A.
25
B.
50
C.
75
D. 100
OE.
125
Answer:
C. 75
Step-by-step explanation:
First, list the multiples of each numbers and stop when you reach the least common multiple (the smallest number the numbers can multiply up to):
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75 . . .
25: 25, 50, 75 . . .
15: 15, 30, 45, 60, 75 . . .
5 times 15 is 75, 25 times 3 is 75, and 15 times 5 is 75. Their LCM is 75.
7.3g of sugar is needed for every cake made. How much sugar is needed for 9 cakes?
Alina drew a model of a square pyramid. The dimensions of the model are
shown in the diagram.
Answer:
400
Step-by-step explanation:
Volume=⅓*B*h
B=10×10=100
Bh=100×12=1200
then divide by
1200÷3=4
The volume of a pyramid with a square base is 400 cm³.
What is a pyramid?A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
We have,
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
Now,
Height = 12 cm
Base area = 10² = 100 cm²
Now,
Volume.
= 1/3 x 100 x 12
= 400 cm³
Thus,
The volume of a pyramid with a square base is 400 cm³.
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i am having a very hard time remembering Negative and Positive numbers adding, subtracting, multiplying, and dividing them.
Here are some examples :
-4+(-25)
-9-(-3)
4÷ - ( -8 )
(-15) (-7)
Answer:
Step-by-step explanation:
So negitive have the - besides it and + mean its negative .
Answer:
-29
-6
.5
105
Step-by-step explanation:
Here is an inequality:
3x + 2
12
Select all of the values that are a solution to the inequality.
= -1
2= -3
x=0
C = -2
1
2= 2
2 = 3
Susan is planting a flower garden. She planted 4 lilies for every 5 rose bushes. If Susan plants 16 lilies, how many rose bushes did she plant?
Answer:
20 rose bushes
Step-by-step explanation:
find the equation of the line below. I need it before wednesday so can you help if you know the answer to the question, thanks.
A circle with its dimensions, in centimeters (cm) is shown.
5 cm
What is the circumference, in centimeters, of the circle? Use 3.14 for. Round your answer to the nearest tenth
ANSWET FOR BRAINLIEST NOW
Step-by-step explanation:
add the radii to get the diameter then multipy by pi
10 (3.14) =31.4
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Answer:
the blocks represents a²+b²=c², the largest block represents the hypotenuse which would be c² the smallest can either be a or b
Step-by-step explanation:
x is inversely proportional to the square root of y
When x = 12, y = 9
Find the value of x when y= 81
Answer: 4
Step-by-step explanation:
The formula for inverse proportion is x = k / y. Since x is inversely proportional to the square root of y. This will be:
x = k / ✓y
When x = 12, y = 9
We have to calculate the constant of proportionality, k which will be:
12 = k / ✓9
12 = k / 3
k = 12 × 3
k = 36
To find the value of x when y = 81 will be:
x = k / ✓y
x = 36 / ✓81
x = 36 / 9
x = 4
Therefore, x = 4 when y = 81.
3x2 = 30 a) + 10 b) + V10 c) + 15 d) 30.
Answer:
x = √10
Step-by-step explanation:
3x² = 30
Divide both sides by 3.
x² = 10
x = √10
percent error between 20 and 16
Answer:
25%
Step-by-step explanation:
[tex]\frac{(20-16)}{|16|}[/tex]|×100
[tex]\frac{4}{16}[/tex]×100
=0.25×100
=25%
=25%error
What is the value of X enter your answer in the box
The mean of the numbers 22,18,(2y+1),10 and 20 is 15.
find the median.
Answer:
Median is 18
Step-by-step explanation:
Firstly you have to fine y by using your mean
Therefore, 22+18+(2y+1)+10+20 divide it by the number of the mean that is the sum of the number divide by the total number of the mean which is 5 =15
22+18+2y+1+10+20 over 5 =15
71+y over 5 =15
Cross multiple
71+y=75
y=4
22,18,9,10, 20
Rearrange
9,10,18,20,22
The median is 18
Pls mark answer as brainliest
what operation do you use to find the power of bases
please answer quick
1.9h - 1.6 please help
Answer:
0.3h
Step-by-step explanation:
Om escalação de R$ 3,8 bilhões, Brasil tem a 3ª seleção mais cara do mundo Os 11 titulares da equipe da CBF valem juntos 639 milhões de euros (R$ 3,8 bilhões) [...] Dentro do continente sul-americano, o Brasil sobra. Quem mais se aproxima do seu valor de mercado é a Argentina, décima colocada no ranking geral, que tem uma equipe avaliada em 406 milhões de euros (R$ 2,4 bilhões). Com escalação de R$ 3,8 bilhões, Brasil tem a 3ª seleção mais cara do mundo. Disponível em: . Acesso em: 08 out. 2020. De acordo com a reportagem, qual é a diferença, em reais, entre os valores de mercado das seleções brasileira e argentina? A 1 400 B 1 400 000 C 1 400 000 000 D 1 400 000 000 000
The two lines graphed on the coordinate grid each represent an equation. What is the ordered pair that represents a solution to both equations?
Im pretty sure it is (4.-3)
PLZZZ HELPPPP MEEEEE PLS
Answer:
negative; -1/4
Step-by-step explanation:
If the area of ABDE is 195 cm², find the difference in areas of ABCE and ABDE
Answer:
Step-by-step explanation:
Your chane=ce to be brainliest
Answer: a
Step-by-step explanation:
Answer:A
Step-by-step explanation:
Using the Pythagoras Theorem
9514 1404 393
Answer:
A. 82.9 yds
Step-by-step explanation:
The missing leg of the right triangle can be found from ...
w²+ l² = d²
w² + 125² = 150²
w² = 150² -125² = 22500 -15625 = 6875
w = √6875 ≈ 82.9
The width of the field is about 82.9 yards.
Determine which measure of center best represents the data?
Answer:
Step-by-step explanation:
There is one value 9 which is a lot less than the rest of the values.
I would the median is the best.
Find the missing angles in the diagram below (pls help no links)
Step-by-step explanation:
here you have the answers
I know i already answered it i just want to make sure im right can someone double check it for me! Sorry
Answer:
You are correct!!! (<5 and <4 , <3 and <6)
Step-by-step explanation:
5 and 6 are on the same line so they are not alternate and angle 1 is on the outside.
Johnny has 6 times 3 bottles of Dawn dish soap, how much Dawn dish soap does he have? Why does he NEED that many Dawn dish soap.
Answer:
I was wondering the same thing! like what was Johnny using that much soap for....? btw I loI that video
use the graph f(x)=-x²+8x+20 to determine the values of: p for which -x²+8x+p=0 will have equal roots
According to the discriminant of the quadratic equation, it will have equal roots for p = -16.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has equal roots.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.In this problem, the equation is:
[tex]f(x) = -x^2 + 8x + p[/tex]
Hence the coefficients are a = -1, b = 8, c = p.
It has equal roots if [tex]\Delta = 0[/tex], hence:
[tex]b^2 - 4ac = 0[/tex]
[tex]8^2 + 4p = 0[/tex]
[tex]4p = -64[/tex]
[tex]p = -16[/tex]
More can be learned about the discriminant of a quadratic equation at https://brainly.com/question/19776811
Hello Solving Equations Puzzle
Answer:
Pink Trapezium = 30 as 30 x 1 = 30
Purple Diamond = 2 as 2 x 2 = 4
Green Moon = 7.5 as it shares the line with 4 it goes 4 x 7.5 = 30
The weight of the line is dividing line just the same as multiple when we find the numbers from dividing. But work out 2 x 2 first. then use that number to divide into 30 to find 7.5.
When we show the values see below. We have 30 also for the second line so both lines are equivalent
Step-by-step explanation:
I would multiply as addition is just too easy.
Pink Trapezium is 1 x 30 = 30 = 30/1 = 30 value
Purple diamond = 2 x 2 = 4 = 4/2 = 2 value
Green Moon is 30/4 = 7.5 value
Rewrite the equation of the line 5y = -1/4x - 6 in standard form
Answer:
D
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C
Given
5y = - [tex]\frac{1}{4}[/tex] x - 6 ( multiply through by 4 to clear the fraction )
20y = - x - 24 ( add x to both sides )
x + 20y = - 24 → D
Jess has $50 to spend on clothes. The jacket she wants to buy is $38.50. If the tax rate is 8%, how much money will Jess have left once she buys the jacket?
Answer:
$8.42
Step-by-step explanation:
38.50(0.08)
3.08
38.50+3.08
41.58
50-41.58
8.42
Hope this helps