Answers
If x² - 8 = x² substracting x² on both side then k = -8. This indicates that to obtain g, we must shift f 8 units down.
What is meant by function?An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.
Let the two functions be f(x) = x² and g(x) = x² - 8.
We know that g exists obtained by shifting f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by adding k units to the value of f(x). That is
g(x) = f(x) + k
If we replace the meaning of f, g we get
x² - 8 = x²
By substracting x² on both side we get
x² - 8 - x² = x² - x²
k = -8.
This indicates that to obtain g, we must shift f 8 units down.
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Related Questions
Jeremy combines 7.28 liters of red paint with 8.06 liters of blue paint to make purple paint. He pours the paint equally into 4 containers, and has 1.58 liters of paint left over. How many liters of paint are in each container?
(use tape diagram to solve)
Answers
Answer:
7.67 liters
Step-by-step explanation:
If θ is an angle in standard position and its terminal side passes through the point (15,8), find the exact value of secθ in simplest radical form
Answers
The exact value of the trigonometric function sec θ is 17/15.
When a number or algebraic expression is beneath a radical, the form is referred to as being in radical form. However, by rearranging a number or algebraic expression in radical form into what is known as the simplest radical form, we can improve that.
The angle θ in standard position and the terminal side passes through the point ( 15, 8 ).
So, we have x = 15 and y = 8 which is in the first quadrant.
Therefore,
r² = x² + y²
r² = ( 15 )² + ( 8 )²
r² = 225 + 64
r² = 289
r = 17
Then,
sec θ = 1/cosθ
sec θ = [ 1/(x/r) ]
sec θ = r/x
sec θ = 17/15
sec θ = 1.1333
The value of the trigonometric function sec θ = 17/15.
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Manuel runs 4.06 kilometers every morning. One day, he runs 1.94 kilometers and then stops
to take a break. How much further does Manuel have left to run?
Answers
Answer:
2.12 kilometers
Step-by-step explanation:
Manuel needs to run a total of 4.06 kilometers. He only has 1.94, so to find the amount he still needs, we can make an equation of 4.06-1.94 = x. Solve that and we get x = 2.12, so Manuel still needs to run 2.12 kilometers to run 4.06 kilometers.
In its standardized form, the normal distribution has which of the following properties?
O A. It has a mean of 0 and a standard deviation of 1
O B. It has a mean of 1 and a variance of 0
© C. It cannot be used to approximate discrete probability distributions
O D. It has an area equal to 0 5.
Answers
The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.
The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.
The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.
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what is the probability an item in the population will have a value for a t-distribution with four degrees of freedom?
Answers
The probability of observing any particular value for a four-degrees-of-freedom t-distribution is nearly zero, and the likelihood that a population item will have a value for this distribution is equal to 1.
When estimating the mean of a normal t-distribution from a small sample in statistics, the t-distribution with four degrees of freedom emerges as a continuous probability distribution.
Given that a t-value t-distribution can be any real number, the likelihood that a population item will have a value for a t-distribution with four degrees of freedom is equal to 1.
In other words, since the distribution is continuous and has an infinite number of possible values, the likelihood of detecting any specific value for a t-distribution with four degrees of freedom is infinitesimally small.
Therefore, The probability of observing any particular value for a four-degrees-of-freedom t-distribution is nearly zero, and the likelihood that a population item will have a value for this distribution is equal to 1.
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please help im struggling with geometry
WILL GIVE BRAINLIEST BUT YOU HAVE TO EXPLAIN
Answers
Given:
A geometric figure.
To find:
The point of tangency in the given figure.
Solution:
We know that, the point of tangency is a point where the tangent line touches the curve.
From the given figure it is clear that, two lines touch the circle at R and Z.
These two lines are tangent and they touch the curve at points R and Z. So, R and Z are point of tangency.
Therefore, the correct option is C.
3. Given w = 10, what is the answer to w+ (w-12÷2².3) 7?
A.073
B.066
C.023
D.017
Answers
\(\huge\text{Hey there!}\)
\(\textsf{Assuming:}\)
\(\mathsf{w + (w - \dfrac{12}{2^2} \times 3)(7)}\)
\(\textsf{If so:}\)
\(\mathsf{w + (w - \dfrac{12}{2^2} \times 3)(7)}\)
\(\mathsf{= 10 + (10 - \dfrac{12}{2^2} \times 3)(7)}\)
\(\mathsf{= 10 + (10 - \dfrac{12}{2\times2} \times 3)(7)}\)
\(\mathsf{= 10 + (10 - \dfrac{12}{4} \times 3)(7)}\)
\(\mathsf{= 10 + (10 -3 \times 3)(7)}\)
\(\mathsf{= 10 + (10 - 9)(7)}\)
\(\mathsf{= 10 + (1)(7)}\)
\(\mathsf{= 10 + 7}\)
\(\mathsf{= 17}\)
\(\huge\textsf{Therefore, your answer should be:}\)
\(\huge\boxed{\textbf{Option D. }\frak{017}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
answer two questions about systems aaa and bbb: system aaa \text{\quad}start text, end text system bbb \begin{cases}x-4y
Answers
Two questions about systems aaa and bbb, the given system is:
System aaa: x = -1/3 and y = -7/3
System bbb: x = -1/3 and y = -7/3
To answer two questions about systems aaa and bbb, let's first clarify the given system:
System aaa:
x - 4y = 9
System bbb:
2x + y = -3
Question 1: Solve system aaa.
To solve system aaa, we'll use the method of substitution:
Step 1: Solve one equation for one variable.
From the first equation in system aaa, we can isolate x:
x = 4y + 9
Step 2: Substitute the expression from Step 1 into the other equation.
Substitute the expression for x in the second equation of system aaa:
2(4y + 9) + y = -3
Step 3: Simplify and solve for y.
8y + 18 + y = -3
9y + 18 = -3
9y = -3 - 18
9y = -21
y = -21/9
y = -7/3
Step 4: Substitute the value of y into the expression for x.
Using the first equation in system aaa:
x - 4(-7/3) = 9
x + 28/3 = 9
x = 9 - 28/3
x = (27 - 28)/3
x = -1/3
Therefore, the solution to system aaa is x = -1/3 and y = -7/3.
Question 2: Solve system bbb.
To solve system bbb, we'll use the method of substitution:
Step 1: Solve one equation for one variable.
From the second equation in system bbb, we can isolate y:
y = -2x - 3
Step 2: Substitute the expression from Step 1 into the other equation.
Substitute the expression for y in the first equation of system bbb:
x - 4(-2x - 3) = 9
Step 3: Simplify and solve for x.
x + 8x + 12 = 9
9x + 12 = 9
9x = 9 - 12
9x = -3
x = -3/9
x = -1/3
Step 4: Substitute the value of x into the expression for y.
Using the second equation in system bbb:
y = -2(-1/3) - 3
y = 2/3 - 3
y = 2/3 - 9/3
y = -7/3
Therefore, the solution to system bbb is x = -1/3 and y = -7/3.
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What is the value of the y-intercept of the graph f(x)=−6⋅7.5x?
Enter your answer in the box.
y =
Answers
Answer:-6
Step-by-step explanation:
The value of the y-intercept is 0.
y = 0
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the given function is:
f(x) = -6 x 7.5x
We can rewrite this in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept:
f(x) = -6 x 7.5x + 0 (since the x-term has a coefficient of 0)
f(x) = -45x + 0
So, the slope of the line is -45 and the y-intercept is 0.
Therefore,
The value of the y-intercept is 0.
y = 0
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A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl?.
Answers
Probability of having at least one boy and at least one girl is 0.75
There are two possibilities of a child, it could be a girl or a boy.
Since, the family plans to have 3 children.
∴ Total outcomes are = 2³
Total outcomes are = 8 outcomes
The total possible outcomes are: BBB, BBG, BGB, GBB, GBG, BGG, GGB, GGG
So, there are 8 possible outcomes.
Now, probability of having at least one boy and at least one girl= 1 - (Probability of having all girls, Probability of having all boys)
Probability of having all girls i.e., GGG = 1/8
Probability of having all boys i.e., BBB = 1/8
P(at least one boy and at least one girl) = 1 - (1/8 + 1/8)
= 1 - (2/8)
= 6/8
= 0.75
∴ P(at least one boy and at least one girl) = 0.75
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answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
Answers
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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in this lesson several postulates will help establish a way to draw angles
Answers
Answer:
make 90°angle with the help of compase
A parallelogram has an area of 136.96 square kilometers and a height of 12.8 kilometers. What is the length of the base?
Answers
Answer:
the answer is 10.7
Step-by-step explanation:
\(136.96 \div 12.8 \)
that show give you your answer
1.8y-9.3y-6.3y I don't get it
Answers
Answer:
-13.8y
Step-by-step explanation:
Since these all have the same variable you don't need to worry that much. Let's take away the y to make it easier. Now you just subtract normally.
1.8 - 9.3
A trick that I use is that I subtract 9.3 - 1.8, and then add a negative sign. So that is -7.5
Then, subtract -7.5-6.3. You add these because they have the same symbol. So it is -13.8
We can't forget about the variable!! So it is -13.8y
Hope this helps!!
-Ketifa
(Can I get brainliest?)
in a complete undirected graph with five vertices how many cells will contain a value of 1 in an adjacency matrix?
Answers
There are 5 1's in the given identity matrix of order 5.
Given, an identity matrix of order 5
we have to find the number of 1 in the given matrix
So, as the matrix is an identity matrix and the order of the matrix is 5
in an identity matrix, the entry is 1 when
i = j i.e. on the diagonal elements.
As, the order of the matrix is 5 then, the number of 1's in the matrix are 5.
Hence, there are 5 1's in the given identity matrix of order 5.
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Evaluate 3a+15+bc−6, when a=7, b=3, and c=15.
Enter your answer in the box.
Answers
21+15+45-6=75
Answer: right answer is 23
Step-by-step explanation:
2x + 6 = 10
x=
whats the answer?
Answers
Answer:
x is 2
Step-by-step explanation:
you need to do 10-6 is 4 then 2x? is 4
can you help me find slope and y intercept
Answers
Answer:
it's right in front of you actually. the y intercept is negative 1/7 and the slope is 1/7
Answer:
your slope 1/7x and your y-int is -1/7. Hope this helps!
Step-by-step explanation:
Find the sum. The sum 39+1) +(9-4)+(9+2) is
Answers
The sum is 56
Here, we want to find the sum of the given expression
To do this, we need to evaluate what we have in each of the brackets and add up
Thus, we have that;
\(\begin{gathered} (39+1)\text{ + (9-4) + (9+2)} \\ 40\text{ + 5 + 11 = 56} \end{gathered}\)By definition, what is the number i equal to?
Answers
The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.
A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground t seconds after it is thrown is represented by LaTeX: d=-16t^2-4t+382d = − 16 t 2 − 4 t + 382 . How long after the rock is thrown is it 370 feet from the ground?
Answers
Answer:
0.75 seconds
Step-by-step explanation:
A shop sells flower fertiliser in 25kg bags and in 50kg bags.
One week, the shop has two special offers for the fertiliser.
Offer A:
Offer B:
25 kg
50 kg
2 bags for £35
3 bags for £92.50
Which offer (A or B) is the best value for money?
You must show how you get your answer.
Answers
Offer A is correct sir
Step-by-step explanation:
!
i’ll give brainliest!!! i need helpppp
Answers
The polynomials that can be factored using the differences of squares are A, B, and D.
What are polynomials?
Polynomials are mathematical expressions consisting of variables and coefficients, and involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
The polynomials that can be factored using the differences of squares are those that can be written in the form:
\(a^{2} - b^{2} = (a + b)(a - b)\)
where a and b are expressions that can be squared.
Using this formula, we can identify the polynomials that can be factored using the differences of squares:
A) −4y² + k² = (2y + k)(2y - k) (a = 2y, b = k)
B) 49x² - 64y² = (7x + 8y)(7x - 8y) (a = 7x, b = 8y)
C) −4y² - k² is also a difference of squares, but it cannot be factored using real numbers.
D) m² - 10,000 = (m + 100)(m - 100) (a = m, b = 100)
E) 12116x²y² is not a difference of squares, so it cannot be factored using this method.
Hence, the polynomials that can be factored using the differences of squares are A, B, and D.
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You just purchased a share of SPCC for $97. You expect to receive a dividend of $7 in one year. If you expect the price after the dividend is paid to be $112, what total return will you have earned over the year? What was your dividend yield? Your capital gain rate?
Answers
The total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.
The price of a stock is equal to the current dividend plus the present value of all future dividends plus the price in one year. As a result, the share price of SPCC after a year will be:$112 = $7 + $105 + PV$PV = $0
Using the formula of the total return of an asset, which is equal to its capital gain plus dividend yield, we have;Total Return = Capital Gain + Dividend YieldCapital Gain = (Ending Price - Initial Price) / Initial PriceCapital Gain = ($112 - $97) / $97 = 0.1546 or 15.46%Dividend Yield = Annual Dividend per Share / Initial PriceDividend Yield = $7 / $97 = 0.0721 or 7.21%
Therefore, the total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.
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jamie bought a pizza that had 24 pizzas. he gave 1/6to Alex, 1/4 to Carmen, and 1/3 to Drew. How many slices does Jamie have?
Answers
Answer:
I work in a pizza shop, and our medium pizzas are cut into 8 slices. This is for 14" pizza. I work in a pizza shop, and our medium pizzas are cut into 8 slices. This is for 14" pizza.
Step-by-step explanation:
5 x 10 for easy points
Answers
Answer:
50
Step-by-step explanation:
multiply 5 and 10
\(\huge\textbf{Answer}\)
\(5 \times 10 \\ = 50\)
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Write the equation of the line that passes through the
points (2, 1) and (-4, -8). Put your answer in fully
simplified point-slope form, unless it is a vertical or
horizontal line.
Answers
An equation of the line in point-slope form that passes through the points (2, 1) and (-4, -8) is y - 1 = 3/2(x - 2).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of any straight line can be determined by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Next, we would determine the slope;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-8 - 1)/(-4 - 2)
Slope (m) = -9/-6
Slope (m) = 3/2
At data point (2, 1) and a slope of 3/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 1 = 3/2(x - 2)
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What is the congruence correspondence, if any, that will not prove the given triangles congruent?
Answers
Answer:
HL
Step-by-step explanation:
It doesn't specifically mention that the Hypotenuse of the two triangles are congruent.
The congruence correspondence for these given two right-angled triangles is HL(hypotenuse and leg).
What is the condition of congruence for two right-angled triangle?"Two right-angled triangles are congruent if hypotenuse and one side of a triangle are equal to hypotenuse and one side of other triangle."
In these given two triangles,
It is not mentioned that the hypotenuse of each triangles are equal.
Therefore, the congruence correspondence for these given two triangles is HL(hypotenuse and leg).
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Find the volume of the regular prism
Answers
Answer:
64
Step-by-step explanation:
Here is why:
The formula for Volume is Length * Width * Height
In this case 4*8*2.
Any Questions?
The correct answer is 64 square cm.
The formula to find the volume of a rectangular prism is length x height x width (i.e., lwh).
Input the values first:
4 x 8 x 2
Then calculate the expression:
4 x 8 x 2 = 64
I hope this helps; have a wonderful day!
S.p=315 loss percent =10% c.p=rs=xc.p=?
Answers
Given:
S.P. = 315
Loss percent = 10%
To find:
The C.P.
Solution:
Let x be the C.P.
We have,
S.P. = 315
Loss percent = 10%
\(S.P.=C.P.-10\%\text{ of }C.P\)
\(315=x-\dfrac{10}{100}x\)
\(315=x-0.1x\)
\(315=0.9x\)
Divide both sides by 0.9.
\(\dfrac{315}{0.9}=x\)
\(350=x\)
Therefore, the cost price (C.P.) is 350.