The transformation of the function, y=1/7 x from y = x is y = 7x
How to determine the transformation?The function is given as:
y = 1/7x
The transformation rule is given as:
y = x
This means that we swap x and y.
So, we have:
x = 1/7 y
Multiply through by 7
y = 7x
Hence, the transformation of the function, y=1/7 x from y = x is y = 7x
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who knows how to sketch this kind of graph
The graph of f(x) = 0.5sin(4x) is sketched below
Graph of trigonometric functionsFrom the question, we are to sketch the graph of the given trigonometric function.
The given trigonometric function is
f(x) = 0.5sin(4x)
The graph of f(x) = 0.5sin(4x) is sketched below
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PLEASE ANSWER PROBLEM IN THE IMAGE PLEASE GIVE EXPLANATION IF YOU DON’T WANT TO GIVE A EXPLANATION DON’T ANSWER WILL GIVE BRAINLEST THANK YOU
image below
Answer:
30
Step-by-step explanation:
We can determine the number of different sets of reports by determining how many possible options are available per subject and then multiplying them.
There are 5 total options for geography, 3 for English, 1 for sciences, and 2 for maths. Multiplying these gets us 30.
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Calculate total choices for individual then multiply
Geography=5English=3Science=1Math=2Total choices
5(3)(2)(1)30Option C
Pamela is 7 years younger than Jiri. The sum of their ages is 39. What is Jiri ‘s age?
Based on the task given, Pamela's age and juri's age is 16 and 23 years respectively.
EquationJuri's age = xPamela's age = x - 7Their total age = 39x + (x - 7) = 39
x + x - 7 = 39
2x = 39 + 7
2x = 46
x = 46/2
x = 23
Therefore,
Juri's age = x
= 23 years
Pamela's age = x - 7
23 - 7
= 16 years
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What’s the correct answer answer asap
Answer:
I think A
Step-by-step explanation:
What is the slope and the y-intercept of the line on the graph below? On a coordinate plane, a line goes through points (0, 1) and (4, 0). a slope = –4, y-intercept = 1 b slope = –4, y-intercept = 4 c slope = Negative one-fourth, y-intercept = 1 d slope = Negative one-fourth, y-intercept = 4
Answer:
the slope of the coordinates will be 0-0/4-1 then you will get the coordinates of the graph
help me help me please guys send me in 5 minutes I really need it
Answer:
a) If the question is 18 and 13, then 1. If 18 and 3, then 3.
b) 10
c) 5
d) 15
e) 11
f) 20
Have a nice day :)
Please answer all parts as I know the answers but need the work to go with them. Thus, I believe the answers are correct. Thank you!
Choose the definition for the function.
-2x + 1
a.y = {=
a.y=-x+ 2
(-2x + 1
b.y = -x + 2
{
x ≤ 1
x>1
x < 1
x ≥ 1
-2x + 1 x > 1
x ≤ 1
c. y = -x + 2
{-2x+2
(-2x + 1
d. y = -x + 2
{
x ≥ 1
x < 1
Answer: its d
Step-by-step explanation:
above answer is wrong and D is right.
2.1. The following is a recipe for making 18 scones: 1 cup white sugar, cup butter, 2
teaspoons vanilla essence, 1 cups flour, 2 eggs, 12 teaspoons baking powder, cup of milk
On your birthday you decide to use this recipe to make scones for the staff at your school. How
would you adjust the recipe so that you can make 60 scones?
(10)
man
The adjusted recipe for 6scones is shown as;
4.2 cup white sugar, cup butter,
7.2 teaspoons vanilla essence,
4.2 cups flour,
7.2 eggs,
37.2 teaspoons baking powder, cup of milk
Ratio and proportionsFractions are written as a ratio of two integers. Given the recipe for 18scones as
1 cup white sugar, cup butter,
2 teaspoons vanilla essence,
1 cups flour,
2 eggs,
12 teaspoons baking powder, cup of milk
For the given 60 scone;
4.2 cup white sugar, cup butter,
7.2 teaspoons vanilla essence,
4.2 cups flour,
7.2 eggs,
37.2 teaspoons baking powder, cup of milk
This given the adjusted recipe for 60 scones
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t+b = 41
t = 2b+2
Solve for t and b
Answer: b=13, t=29
Step-by-step explanation:
Substituting the first equation into the second,
[tex]2b+2+b=41\\\\3b+2=41\\\\3b=39\\\\b=13\\\\\implies t=2(13)+2=29[/tex]
Can someone explain step by step how to get this please?
3) Alternate interior angles theorem
4) Definition of congruent angles
Suppose that poaching reduces the population of an endangered animal by 6% per year. Further suppose that when the population of this animal falls below 20, its extinction is inevitable (owing to the lack of reproductive options without severe in-breeding). If the current population of the animal is 1500, when will it face extinction? Comment on the validity of this exponential model.
If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.
Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.
Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:
20=1500*[tex](1-0.06)^{n}[/tex]
20=1500*[tex]0.94^{n}[/tex]
20/1500=[tex]0.94^{n}[/tex]
0.133=[tex]0.94^{n}[/tex]
take log both sides
log(0.133)=log[tex]0.94^{n}[/tex]-------1
log(0.133)=nlog (0.94)
put the values log values:
log(0.133)=-0.8761
log(0.94)=-0.0268
Taking 1
-0.8761=n*(-0.0268)
n=0.8761/0.0268
n=3.269
Hence to reach level of 20 the population takes 3.2 years.
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The function f(x) is graphed. It represents a translation of the square root function g(x) = . What equation represents the graph of f(x)? f(x) = f(x) = f(x) = – 1 f(x) = + 1
Using translation concepts, the equation of the graph of f(x) is given as follows:
[tex]f(x) = \sqrt{x - 1}[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Function f(x) is a shift right of one unit of the square root function, hence x -> x - 1 and the equation is given by:
[tex]f(x) = \sqrt{x - 1}[/tex]
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the objective function of linear programming model should be
The objective function of a linear programming model should be to maximize or minimize the numerical value.
What is the objective function?The objective function consists of linear functions which are subjected to constraints in the form of linear equations or in the form of inequalities.
The objective function is always stated as z = ax + by.
The numerical value may be the:
Cost of a projectProduction quantityProfit valueMaterials savings.Thus, the objective function of a linear programming model, which is always linear, is to maximize or minimize a numerical value.
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What are the x-intercepts and the y-intercepts of the graph of 12x−3y=36
Answer:
Step-by-step explanation:
12x −3y=36 ⇔ 3y = 12x - 36
y = 4x - 12
y = 0 ⇔ 4x - 12 = 0 ⇔ 4x = 12 ⇔ x = 12/4 = 3
So (0 ; - 12) and (3 ; 0)
Answer:
x-intercept=3, y-intercept=-12
Step-by-step explanation:
at x-intercept y=0 such that:
12x-3(0)=36
12x=36
[tex]x=\frac{36}{12} =3[/tex]
additionally, at y-intercept x=0 such that
12(0)-3y=36
-3y=36
[tex]y= \frac{36}{-3}=-12[/tex]
Select each graph that shows a function and it’s inverse
Answer:
First option
Explanation:
The inverse of a graph is its reflection on the line y = x.
This means that it is the graph that you get by reflecting the original graph on a line with the equation y = x.
In the picture below, we can see a function (red graph), its inverse (blue graph) and the line (green) that the two graphs are reflected on.
From the picture below, we can see that the shapes of the graph of a function and its inverse is similar and correspond to the shape given as the first option in the question. Therefore, the first option is the answer.
3) A diameter divides a circle into two congruent arcs. What is the measure in degrees for each arc?
A. 60°
B. 45°
C. 180°
D. 90°
Answer:
C. 180°
Step-by-step explanation:
The degree measure of the arc of a full circle is 360°
A diameter divides a circle into two parts of equal size, so the degree measure of each part is half of the degree measure of a full circle.
360°/2 = 180°
Seriation can be described as a series or a growing pattern, i.e. arranged by an attribute such as height, length, or weight. Which of the following activities would be the best way to help children understand seriation?
a. Read the story of the Three Billy Goats Gruff and discuss the little, medium and great big billy goat gruff brothers.
b. Have children put the pictures in order according to their size on a worksheet.
C. This book would not be used because it isn't a math concept book.
The best way to help them understand Seriation is; A: Read the story of the Three Billy Goats Gruff and discuss the little, medium and great big billy goat gruff brothers.
How to Identify growth patterns in Seriation?We are told that;
Seriation is a series or a growing pattern. This means arranged by an attribute such as height, length, or weight.
Now, we want to find the option that is the best way to help children understand Seriation. Looking at the options, the best option would be option A. This is because by reading the story of the three Billy Goats Gruff, we can be able to arrange them by little, medium and great big billy goat gruff brothers.
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If m < ACD = 100 , then m < ACE = ?
If m ∠ACD = 100°, then m ∠ACE = 80°, as ∠ACD and ∠ACE are supplementary angles.
Supplementary angles are the angles whose sum is equal to 180°. The angles formed when one straight line intersects the other, on the point of intersection on the same side of any line are always supplementary.
In the given question, AB and DE are two straight lines intersecting at point C. ∠ACD and ∠ACE lie on the same side of the line DE, thus they are supplementary angles.
Therefore, m ∠ACD + m ∠ACE = 180°.
But we know that m ∠ACD = 100°. So,
m ∠ACD + m ∠ACE = 180°,
or, 100° + m ∠ACE = 180°,
or, m ∠ACE = 180° - 100° = 80°.
Therefore, if m ∠ACD = 100°, then m ∠ACE = 80°, as ∠ACD and ∠ACE are supplementary angles.
For the complete question, check attachment 1.
For reference to the solution, check attachment 2.
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Select the correct answer from each drop-down menu.
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is _____ because the sample is _____. In this instance, an ______study was performed.
The conclusion is valid in this experiment because the sample is homogenous and an experimental study was performed.
What is an experimental study?It should be noted that an experimental study is one in which there is a dependent variable and there is a dependent variable. Also a control is used to establish the validity of the results.
In this case, the dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.
The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.
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f(x)=5x-25 What is the domain of the function?
Answer:
Domain: All Real Numbers
Step-by-step explanation:
Since this function is a linear function, it will use any x-value in order to continue with being a linear function. Therefore, if the line goes on for infinity, every x-value will be used for infinity. Therefore, the domain will be All Real Numbers since every number on the x-axis has a possibility of being used.
The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0) = s, where r and s are constants. What is the value of rs?
Using a linear function, it is found that the product rs is rs = 81.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:
m = -16/64 = -0.25.
Hence:
y = -0.25x + b.
When x = 34, y = -4, hence this is used to find b.
-4 = -0.25(34) + b
b = 4.5.
Hence the function is:
y = -0.25x + 4.5.
f(r) = 0, hence:
-0.25x + 4.5 = 0
x = 4.5/0.25
x = 18
r = 18.
f (0) = s, hence s = 4.5.
Then the value of the product is:
rs = 18 x 4.5 = 81.
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Let t be the number of weeks Dr. Elder is on his diet and D(t) be a linear equation that models his weight in pounds. At the beginning of his diet, t=0, Dr. Elder weighs 265 pounds, D(0)=265. After nine weeks, t=9, he now weighs 229 pounds, D(9)=229. Find the slope
Using it's concept, it is found that the slope of the function is of -4.
What is the slope of a function?The slope of a function is given by the change in the output of the function divided by the change in the input.
For this problem, in 9 months, his weight changed from 265 pounds to 229 pounds, hence it changed -36 pounds, which means that the slope is of:
m = -36/9 = -4.
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PLEASE HELP ! Determine f of the quantity 2 plus h end quantity minus f of 2 all over h if f (x) = 5x − 6.
4
4h
5
5h
The value of the function is 5
What is function?A function is defined as a relation between a set of inputs having one output each.
Given function:
f(x) = 5x − 6
Now f(2+h) - f(2) /h
= 5(2+h)-6 - 10+6/h
=10+ 5h -10/h
=5h/h
=5
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(y + 4)^2 – 2(y + 4) + 1
Answer:
y = -3 and y = -3
or y = -3 with a multiplicity of 2
Step-by-step explanation:
[tex](y+4)^2-2(y+4)+1[/tex]
If you want to factor this, heres what you do:
[tex](y+4)(y+4)-2(y+4)+1[/tex]
[tex]y^2+8y+16-2y-8+1[/tex]
[tex]y^2+6y+9[/tex]
Then factor:
[tex](y+3)(y+3)[/tex]
[tex](y+3)^2[/tex]
The value of y:
y + 3 = 0 and y + 3 = 0
y = -3 and y = -3
or y = -3 with a multiplicity of 2
The solution of the given function are; y = -3 and y = -3 or y = -3 with a multiplicity of 2.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given function is;
[tex](y + 4)^2 -2(y + 4) + 1[/tex]
To solve;
[tex](y + 4)(y + 4) -2(y + 4) + 1\\\\y^{2} + 8y + 16 - 2y -8 + 1\\\\y^{2} + 6y + 9 \\[/tex]
Then the factor are;
(y + 3)(y + 3)
The value of y:
y + 3 = 0 and y + 3 = 0
y = -3 and y = -3
or y = -3 with a multiplicity of 2
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During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. the first caller has a chance to win $100. which equation represents the amount the 10th caller receives if this caller is the first to answer the question correctly?
Answer:
50x+100=y
y=550
Step-by-step explanation:
Since the first caller can win $100, you add 100 onto the end. After you add 50 for every person who answered incorrectly. X being amount tried/answered incorrectly, and Y being the amount you can win at that given time
Answer:
A. a10=100+(10-1)50
Step-by-step explanation:
Based on the diagram, which is a true statement?
- If a student plays in the band, then he/she is an honor student.
- If a student is an honor student, then he/she plays in the band.
- If a student is not an honor student, then he/she cannot play in the band.
- If a student is an honor student, then he/she may also be a band member.
Based on the diagram, the true statement is "If a student is an honor student, then he/she may also be a band member."
What does the diagram show?It shows the intersection between two groups:
Honor studentsBand membersThis intersection implies some band members are honor students and vice versa. However, not all band members are honor students and not all honor students are band members.
What can be concluded?A correct conclusion is that an honor student may also belong to the band.
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Which of the following shows that the two composite figures cover the same area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units. The correct option is 9 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The area of the different figures will be shown below.
Thus, the expression that shows that the two composite figures cover the same area is A = 4 + 3 + 2 = 9 units².
Hence, the correct option is 9 units².
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Complete the equation: x2−4x+−−=(−−)2
The complete equation is x^2 - 4x + (-2) = (-2)^2
How to complete the equation?The equation is given as:
x^2 - 4x + __ = (__)^2
_____________________________
Take the coefficient of x
k = -4
Divide by 2
k/2 = -4/2
k/2 = -2
Square both sides
(k/2)^2 = (-2)^2
_____________________________
Add the result of the above computation to both sides of x^2 - 4x + __ = (__)^2
So, we have:
x^2 - 4x + (-2) = (-2)^2
Hence, the complete equation is x^2 - 4x + (-2) = (-2)^2
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giving brainliest to first person who answers correctly
Using it's concept, the domain and the range of the function are given as follows:
Domain: [tex]x \leq 4[/tex].Range: [tex]y \geq 0[/tex]What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.The function for this problem is:
[tex]y = \sqrt{4 - x}[/tex]
The square root is defined only for non-negative numbers, hence the domain is given as follows:
[tex]4 - x \geq 0 \rightarrow x \leq 4[/tex]
The outputs of the square root function are also non-negative numbers, hence the range is given as follows:
[tex]y \geq 0[/tex].
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