Answer:
(j-3)/3 =k
Step-by-step explanation:
j+2 = 3k+5
Solve for k
Subtract 5 from each side
j+2-5 = 3k+5-5
j-3 = 3k
Divide each side by 3
(j-3)/3 = 3k/3
(j-3)/3 =k
What is the conjugate of 6 + 4i?
Answer:
6+4i
Step-by-step explanation:
the conjugate of a complex number a + bi is the number a- bi
Write the equation of the graph obtained when the graph of y=1/x is compressed vertically by a factor of 0.25, translated 4 units right, and then translated 3 units up.
Answer: The equation is y = 0.25/(x - 4) + 3
Step-by-step explanation:
If we have a function y = f(x)
A compression means that we multiply the function by a factor smaller than 1.
Then the vertical compression by a factor of 0.25 is:
y = 0.25*f(x)
a translation by A units to the right, means that we need to valuate the function in x - A.
So now we have:
y = 0.25*f(x - 4)
A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:
y = 0.25*f(x - A) + 3
Then, if f(x) = 1/x
Our new equation is:
y = 0.25/(x - 4) + 3
Answer:
g ( x ) = 0.25 / ( x - 4 ) + 3
Step-by-step explanation:
Solution:-
- The given function is defined as an inverse function:
f ( x ) = 1 / x
- The transformation on the function of f ( x ) are of three kinds. We will use a general form to look at the effect of each transformation.
[tex]f ( x ) --- > g ( x ) = [ \frac{a}{( x +/- b)} ] + c[/tex]
Where a,b, and c are constants for transformation.
- The effect of constant a:
a > 1 ------ > Flattens the graph
0 < a < 1 -------- > Compresses the graph vertically
- The effect of constant b:
b > 0 ------ > Horizontal shift to left
b < 0 -------- > Horizontal shift to right
- The effect of constant c:
c > 0 ------ > Vertical shift up
c < 0 -------- > Vertical shift down
- Now we will determine the result of function after each transformation.
Compressed vertically by a factor of 0.25. Hence, a = 0.25 [ 0 , 1 ]k ( x ) = 0.25 / x
Translated 4 units right. The value of b = -4 , right shift : b < 0.j ( x ) = 0.25 / ( x - 4 )
translated 3 units up. The value of c = 3, up shift. c > 0g ( x ) = 0.25 / ( x - 4 ) + 3
Hence, the resulting function of all the mentioned transformations of original function f ( x ) is given as g ( x ):
g ( x ) = 0.25 / ( x - 4 ) + 3
Select the correct answer from each drop-down menu.
Prism M and pyramid N have the same base area and the same height cylinder P and prism Q have the same height and the same base
perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The figures ——-. and —— have the same volume.
Answer:
Answer: cone Z and cylinder Y
Step-by-step explanation:
Answer:
Correct for plato
A. cone Z
B. cylinder Y
Step-by-step explanation:
The figures cone Z and cylinder Y have the same volume.
What is 3x2 + 21x + 18 in factored form?
0
A
3(x + 2)(x + 3)
O
B. 3(x + 6)(x + 1)
0
C. 3(x + 3)(x + 2)
D. 3(x + 1)(x + 2)
Answer:
B
Step-by-step explanation:
Given
3x² + 21x + 18 ← factor out 3 from each term
= 3(x² + 7x + 6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 7)
The factors are + 6 and + 1, since
6 × 1 = 6 and 6 + 1 = 7, thus
x² + 7x + 6 = (x + 6)(x + 1)
Thus
3x² + 21x + 18 = 3(x + 6)(x + 1) → B
-x^2+5x+5x+4+2x^2+3
Answer:
x^{2}+10x+7 is the simplified function
Step-by-step explanation:
I also graphed the function below, if you needed it!
If this answer is correct, please make me Brainliest!
Mich had $10.52 after he left the bookstore. If he bought a book for $6.39, and a magazine for $3.99, how much money did he have before he went to the book store? a.) $0.14 b.) $10.38 c.) $16.91 d.) $20.90
g(x) = “8x
What is the domain of g?
Answer: -1 is not in the domain and 0 and 2 are in the domain
Step-by-step explanation:
The domain of the function g(x) = “8x” is all real numbers, as there are no restrictions on the values that x can take.
The question seeks to find the domain of a function represented as g(x) = “8x. A function's domain refers to all the possible values that can be input into the function. In the case of g(x) = “8x, this is a linear function where x can take any real number value since there are no restrictions like square roots or denominators that could potentially exclude certain x values. Therefore, the domain of g is all real numbers, often represented as (-∞, +∞) or ℝ in set notation.
Brianna surveyed a representative sample of students at her school to collect data about the numbers of Internet-compatible devices they own. Estimate about how many of the 250 students who attend Brianna’s school own exactly two Internet-compatible devices.
Answer:
125 students
Step-by-step explanation:
The following table is missing:
Number of Devices Number of Students
1 18
2 25
3 or more 7
Total 50
From the sample, we can estimate that 25/50 = 0.5 or 50% of the students have exactly two Internet-compatible devices. Then there are 0.5*250 = 125 students who have exactly two Internet-compatible devices in Brianna’s school.
What is the quotient?
StartFraction 7 Superscript negative 4 Over 7 Superscript negative 9 EndFraction
StartFraction 1 Over 7 Superscript 13 EndFraction
StartFraction 1 Over 7 Superscript 5 EndFraction
7 Superscript 5
7 Superscript 13
Answer:
A
Step-by-step explanation:
The required quotient is [tex]7^5[/tex].
To simplify [tex]7^{-4}/7^{-9}[/tex]
What is quotient?The quotient is the outcome value obtained when a particular value divided by a value.
Here,
Simplification,
[tex]=7^{-4}/7^{-9}\\=7^{-4}*7^{9}\\=7^{-4+9}\\=7^5[/tex]
Thus, the required quotient is [tex]7^5[/tex].
Learn more about quotient here.
https://brainly.com/question/27796160
#SPJ2
Question:
Crack the code and
give the missing number:
GOLD = 5
LEAD = 6
SILVER = 8
URANIUM = 11
PLATINUM = ?
Answer:
PLATINUM = 11
Step-by-step explanation:
It appears that the "code" is that vowels count 2 and consonants count 1.
GOLD = 1 for GLD +2 for O = 3+2 = 5
LEAD = 1 for LD +2 for EA = 2 +4 = 6
SILVER = 1 for SLVR +2 for IE = 4 +4 = 8
URANIUM = 1 for RNM +2 for UAIU = 3 +8 = 11
PLATINUM = 1 for PLTNM +2 for AIU = 5 +6 = 11
The missing number is PLATINUM =15
SequenceA sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important.
Crack the code and give the missing numberGiven that, GOLD = 5, LEAD = 6, SILVER = 8, URANIUM = 11, PLATINUM = ? from the given data we can see its in a sequence let say GOLD=5
so adding natural number (1, 2, 3, 4, ...) in the sequence will give next valueGOLD = 5LEAD = 5+1=6SILVER = 6+2=8URANIUM = 8+3=11
therefore, PLATINUM = 11+4=15
Learn more about sequence related problems here :https://brainly.com/question/18109692
#SPJ2
A footbridge is in the shape of an arc of a circle. The bridge is 7 ft tall and 29 ft wide. What is the radius of the circle that contains the bridge? Round your answer to the nearest tenth.
Answer:
18.5 ft (to the nearest tenth)
Step-by-step explanation:
The diameter of the circle passes through the center of the circle and divides the width of the circle into two equal parts.
We complete the circle and apply the Law of Intersecting Chords.
In the diagram, by this law:
AB X BC =DB X BE
7*x=14.5X14.5
x=14.5X14.5÷7
x=30.04
Therefore:
Length of the Diameter= 7+30.04 ft=37.04 ft
Radius =37.04/2= 18.5 ft
The radius of the circle should be 18.5 ft (to the nearest tenth).
Calculation of the radius:
Since there is the bridge is 7 ft tall and 29 ft wide.
Also,
here we apply the Law of Intersecting Chords.
So,
[tex]AB \times BC =DB \times BE\\\\7\times x=14.5\times 14.5\\\\x=14.5\times 14.5\div 7[/tex]
x=30.04
Now
Length of the Diameter= 7+30.04 ft=37.04 ft
So, Radius = 50% of 37.04 = 18.5 ft
Hence, The radius of the circle should be 18.5 ft (to the nearest tenth).
Learn more about radius here: https://brainly.com/question/21502832
Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?
Answer:
Here you go, your equation should look a lot like this:
x²-16 -----> (x+4)(x-4).
Step-by-step explanation:
It's an example of what you should be writing depending on your answer. You did not include any details about your question.
The polynomial that is a difference of squares will be x²-16. It is factored as (x+4)(x-4).
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order. Polynomials are used in management, computer, and math-based occupations. Variables and constants are utilized to define numbers that are known and unknown in expressions in all professions that need proficiency with polynomials.
We have to define a polynomial that is a difference of squares we have to also do factors for that polynomial.
The polynomial that is a difference of squares is found as,
x²-16
Used the below identity in order to factorize the polynomial,
a²-b²=(a+b)(a-b)
16 in its square form is written as 4².
x²-4² = (x+4)(x-4)
Thus, the polynomial that is a difference of squares will be x²-16. It is factored as (x+4)(x-4).
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ2
Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4
How much does she save and how much does she spend?
Saving = ?
Spending Money = ?
Answer:
Saving=£450
Spent=£200
Step-by-step explanation:
Ratio of saving to spending is 9:4
She inherits £650
So to determine her saving
It will be
9+4=13
Since her saving is 9
So, 9/13 × 650
5850/13
=450
So her saving is£450
To determine what she spent
4/13 × 650
2600/13
200
Saving=£450
Spent=£200
The amount she saves is £450 and the amount she spends is £200.
Step-by-step explanation:
Given,
The amount she has = £650
The ratio of saving to spending money is 9:4
To find the amount she saves and she spends.
Let,
The amount she saves = 9x
The amount she spends = 4x
According to the problem,
9x+4x = 650
or, 13x = 650
or, x = [tex]\frac{650}{13}[/tex] = 50
Hence,
The amount she saves = £50×9 = £450
The amount she spends = £50×4 = £200
Find the midpoint given the endpoints (7,-9)
and (-10,8).
Answer:
(-1.5, -0.5)
Step-by-step explanation:
The formula for the midpoint given the endpoints is the following:
[tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})[/tex]
Thus, the x coordinate of the midpoint is -3/2
The y coordinate would be -1/2
Which expression is equivalent to 9 p minus 3 p + 2?
A. 8p
B. 14p
C. 6 p + 2
D. 9 p minus 1
Answer:
c. 6p+2
Step-by-step explanation:
Answer:
C. 6p+ 2
Step-by-step explanation:
9p-3p+2+
=6p+2
You would subtract the 9p and 3p as normal and woud add the 2 at the end.
Hope this helps
PLEASE MARK AS BRAINLIEST!!!!!
Bailey has a jar of marbles. The bowl has 16 green, 20 red, and 14 yellow marbles. He reaches into the jar without looking and randomly grabs a marble.
What is the probability that he grabs either a green marble or a yellow marble?
Enter your answer as a fraction in simplest form.
Choose the formula and the probability?
Answer:
3/5
Step-by-step explanation:
16g
20r
14y
=50 marbles
16/50 = 3.5/10
20/50 = 4/10
14/50 = 3/10
= 16/50 + 14/50 = 30/50 = 3/5
Jason has been painting pictures every day for the last three months. Which of the following is a statistical question that Jason can be asked?
A.
How many pictures were painted each day for the first month?
B.
Which picture required the maximum amount of time to paint?
C.
What is the total time spent on painting in the last three months?
A statistical question that Jason can be asked is How many pictures were painted each day for the first month .
What is Statistics ?
It is the branch of Mathematics which is used to observe , analyze and predict data.
It has usage in many fields to predict weather , stock prices etc.
It is given that Jason has been painting pictures every day for the last three months
Statistics involve accumulating data of a single event at various occasions
A statistical question that Jason can be asked is How many pictures were painted each day for the first month
As this involves an event of painting a picture and the same work is done daily , The statistical question in this is that no. of painting that are painted each day is asked .
Therefore Option A is the correct answer.
To know more about Statistics
https://brainly.com/question/8058700
#SPJ2
Sara has a stack of 8 plates each plate is 0.5 inches and she is trying to wrap them as a gift the largest plate has a diameter of 10 inches and each plate has a diameter of 1 inch smaller than the previous plate. She has a cylindrical box with a radius of 5 in that can hold 150 cubic inches will her plates fit in the box
Answer: No her plates will not fit in the box
Step-by-step explanation: Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of .
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box to see if it is greater than or equal to 4 inches—the height of the stack of plates.
The volume of a cylinder is , and since for our cylindrical box the volume is 150 cubic inches; therefore,
putting in and solving for height we get
,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
Simon bought 5 packs of red bouncy balls and 2 packs of yellow bouncy balls. Each package contained 8 bouncy balls. How many more red bouncy balls than yellow bouncy balls did Simon buy?
WILL GIVE BRAINLIST!! :))))!!!!
Answer:
24
step-by-step explanation:
24
Answer:
it's 24
Step-by-step explanation:
Josh is following a recipe that calls for 2.5 cups of sugar to make 2 dozen cookies. He uses 3.5 cups of sugar to make 3 dozen cookies. Has he followed the recipe? Explain.
Answer:
no
Step-by-step explanation:
you divide the first one then multiply and find out if it is
and it turns out not
put brainiest please
Similar triangles ... help?
Answer:
The second answer
XYZ-RQS
Step-by-step explanation:
The sides of a triangle are 12 m, 5x m, and 4x m long. (a) Express the perimeter of the triangle in terms of x. (b) Find the perimeter of the triangle when x = 4.
So now (a) Express the perimeter of the triangle in terms of x. and (b) Find the perimeter of the triangle when x = 4.
Answer:
a) 9x + 12
b) 48 m
Step-by-step explanation:
Perimeter is the sum of all sides:
12 + 5x + 4x
12 + 9x
x = 4
12 + 9(4)
48
in the question you have to Simplify (y²)³
Answer:
y^6
Step-by-step explanation:
a^b^c = a^(b*c)
We have y^2^3
y^(2*3) = y^6
Answer:
y⁶
Step-by-step explanation:
To simplify, you can multiply the exponents:
y^2*3
y⁶
Rocco received 5 new shirts and 2 new pairs of jeans for his birthday how many different ways can he wear his shirts with jeans?
2
5
7
10
None of these
Answer:
D
10
Step-by-step explanation:
The requried Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.
To determine the number of different ways Rocco can wear his shirts with jeans, we need to multiply the number of options for shirts by the number of options for jeans. In this case, Rocco has 5 different shirts and 2 different pairs of jeans.
Since he can wear any shirt with any pair of jeans, the total number of different combinations is obtained by multiplying the number of shirts (5) by the number of jeans (2):
5 shirts * 2 pairs of jeans = 10 different ways
Therefore, Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.
Learn more about combination here:
https://brainly.com/question/11740082
#SPJ2
Ms. Hatcher bought the pencil decoration shown below for her bulletin board.
If a = 11 in and b = 25 in, what is the area of the pencil?
Answer:
335.5 in^2
Step-by-step explanation:
The area is a rectangle and a triangle
The area of the rectangle is
A = a*b where a is 11 and b is 25
A = 11*25 =275
The area of the triangle is
A = 1/2 b*h where b is 11 and h is 11
A = 1/2 (11) * 11
A = 60.5
The total area is 275+60.5=335.5
Jayda takes 3 hours to deliver 189 newspapers on her route. What is the rate per hour at which she delivers the newspapers?
Answer:
63
Step-by-step explanation:
It took 3 hours for her to deliver 189 total.
We need delivery per hour for our answer.
189 / 3 = 63
63 new papers are delivered per hour.
The given figure is a square pyramid. The side length of the base of the pyramid is 6.6 feet. The height of the
pyramid is 12.672 feet. What is the volume of the pyramid?
Answer:
Step-by-step explanation:multiply then round
To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying a $1 for each five-number selection. What is the probability that a person with one combination of the five numbers will win?
What is the probability of winning if 100 different lottery tickets are purchased?
There are 45 numbers out of which 5 numbers are required to win an enormous sum of money
No of ways in which 5 numbers can be selected out of 45 numbers.
[tex]C_{45}^5=\frac{45!}{40!5!} =1221759[/tex]
out of which there is only combination foe contest winning
[tex]P=\frac{1}{1221759}[/tex]
When 100 different tickets are bought then
Probability of winning: [tex]\frac{100}{1221759}[/tex]
Probably of winning≈0,000082
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
How is a relationship determined when looking at a scatterplot?
Answer:
The relationship between two variables is called their correlation The relationship between two variables is called their correlation
Step-by-step explanation:
Answer:
Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation . ... The closer the data points come when plotted to making a straight line, the higher the correlation between the two variables, or the stronger the relationship.
49w^2-4=0. Simplied fraction?
Answer:
{-2/7, 2/7}
Step-by-step explanation:
Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.
49w^2-4=0 is the product of the sum and difference of two squares:
(7w - 2)(7w + 2) = 0
Setting each factor equal to zero and solving for w, we get:
{-2/7, 2/7} as the solutions.