The function f(x) has a domain of [-5, 2] and a range of [-3, 6]. If f(x) is reflected over the y-axis, horizontally translated 3 units to the right and vertically stretched by a factor of 2, what will the domain and range of the transformed graph be? Group of answer choices
The domain and the range of the transformed graph are given as follows:
Domain: [1,8].Range: [-6,12].What are the domain and the range of a function?The definitions of the domain and of the range of a function are given as follows:
Domain: input values -> values of x.Range: output values -> values of y.After the reflection over the y-axis, the domain of the function is of:
[-2,5].
(as the reflection over the y-axis changes the signal of the x-values of the function).
After the translation of 3 units right, the domain of the function is of:
[1,8].
As the translation adds 3 to each value of x of the function.
After the vertical stretch by a factor of 2, the range of the function is of:
[-6,12].
As the stretch means that all the output values of the function are multiplied by 2.
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What is the result when 3x + 7 is subtracted from -x + 2?
Subtracting the polynomials, 3x + 7 is subtracted from -x + 2, the result is: -4x - 5.
How to Subtract Polynomial Expressions?To find the difference of two polynomials, like terms should be combined and simplified together.
Subtracting 3x + 7 from -x + 2, we have the following:
(-x + 2) - (3x + 7)
Open the parentheses:
-x + 2 - 3x - 7
Combine like terms
-x - 3x + 2 - 7
= -4x - 5
Therefore, the result is -4x - 5.
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graph the line that represents this equation
[tex]3x-4y=8[/tex]
The graph of the line that represents the given equation, 3x - 4y = 8, is shown below
Graph of Linear equationsFrom the question, we are to graph the line that represents the given equation.
The given equation is
3x - 4y = 8
To graph the line, we will determine x-intercept and y intercept of the line.
The x-intercept in the point where y equals zero on the line
and
The y-intercept in the point where x equals zero on the line
Determining the x-intercept
3x - 4y = 8
Set y = 0
3x - 4(0) = 8
3x = 8
x = 8/3
The x-intercept is (8/3, 0)
Determining the y-intercept
3x - 4y = 8
Set x = 0
3(0) - 4y = 8
-4y = 8
y = 8/-4
y = -2
The y-intercept is (0, -2)
Using the x-intercept and y-intercept, the graph of the line is shown below
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For what values of [tex]c[/tex] will [tex]A=\left[[tex]\begin{array}{cc}1 & 4 \\ c & c^2\end{array}\right][/tex] be invertible?[/tex]
For all [tex]c[/tex] such that [tex]c \neq[/tex]
(If there are multiple values, separate them by comma(s).)
Answer:
(1,-2),(6,21)
Step-by-step explanation:
use the paste option to paste the content, including formulas, but none of the formatting into a worksheet.
What is this question I don't understand
Let R be the region in the first quadrant bounded by the graph of y = Vx - 1. the x-axis, and the vertical line * = 10. Which of the following integrals gives the volume of the solid generated by revolving R about the y-axis? (A) = L " (x - 1) dx (B) - L" (100 - (x - 1) dx (C) 10 dy (D) * 100 dy
L " (x - 1) dx integrals gives the volume of the solid generated by revolving R about the y-axis
Which one is generated by revolving R about the y-axis?The integration or antiderivative processes can be used to determine the curve's area under it. For this, we require the curve's equation (y = f(x)), the curve's axis boundary, and the curve's border limitations.
Let R be the area in the first quadrant enclosed by the hyperbolas xy = 1 and xy = 3, the lines y = x and y = 3x, and the lines xy = 1. The third quadrant is also constrained by those four curves, which we are ignoring. xy dA. = 1 v .
Let R be the region in the first quadrant bounded by the graph of y = Vx - 1. the x-axis, and the vertical line * = 10.
= L " (x - 1) dx integrals gives the volume of the solid generated by revolving R about the y-axis
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Give me an example of how stewardship could be practiced by religious believers today
What is the value of the digit 4 in the number 3.04?
Choose the correct answer.
The value of the digit 4 in the number 3.04 is 0.04.
What is the Place Value of a digit ?
Place value is the value a digit in a number represents based on the number's place within the whole.
Here, The place value of the digit 4 is hundredths.
So, Value of digit 4 = 4/100 = 0.04.
Hence, Value of digit 4 in 3.04 is 0.04.
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help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
Answer:
8551.56
Step-by-step explanation:
[tex]A=5300(1+(0.08)/12)^{(12)(6)} \approx 8551.56[/tex]
Which grade is best in school?
A (C)
B (A-)
C (A)
D(B+)
I think its B+ because B stands for Best, and the + equals means advanced best I got it wrong, please help.
Answer:
I didn't know kindergardeners had Brainly.
32) Jeff's car gets 144 miles with a full tank of gas. If his gas tank hold 16 gallons,
how many miles per gallon is his car getting?
9 miles per gallon of gas is used in his car.
What is gallons?The standard volume and capacity for measuring liquids is the gallon.The word gallon is shortened to gal.Currently, there is only one definition for the gallon in the imperial system and two that is dry and liquid in the US customary system.
Here the given information is as,
Car travels = 144 miles
Tank hold gas = 16 gallons
So, for miles per hour,
= 144 / 16
= 9 miles / gallon
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Please help me out, thanks.
Graph the given sequence to help you answer the
questions.
19, 15, 11, 7, ...
Which point is found on the graph?
Is the sequence linear? Why?
What type of sequence is it?
Answer: the answer is A,B,E
Step-by-step explanation:
Answer: The answer is (four/seven)
Yes, because it forms a straight line.
Arithmetic; it's a linear function.
Step-by-step explanation:
2023 Edgen
Vocabulary Use the terms divisor,
dividend, quotient, and remainder to
describe how to divide.
The divide rule will be;
⇒ Divisor = (Dividend - Remainder) / Quotient
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Vocabulary Use the terms divisor, dividend, quotient, and remainder.
Now,
If we have to find the divisor , then we can use the divide rule as;
⇒ Divisor = (Dividend - Remainder) / Quotient
Thus, The divide rule will be;
⇒ Divisor = (Dividend - Remainder) / Quotient
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points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3. what are the coordinates of a'?
The coordinates of a' after scaling factor of 1/3 is a'(1,1).
Given:
points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3.
Rectangle:
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.
Scale factor :
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
scale factor = 1/3
= (3*1/3 , 3*1/3)
= (3/3 , 3/3)
= (1,3/3)
= (1,3)
Therefore the coordinates of a'(1,1).
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Which of the following is a fundamental difference between the t statistic and a z-score?
The t statistic uses the sample variance in place of the population variance.
The fundamental difference between t-test and z-score is: t-test is used to determine the difference in data sets, the standard deviation and the z-score is used to to draw data from a given population with different means and standard deviation. A) The t statistic uses the sample mean in place of the population mean
How to know the use of t-test and z-score?T-test is a statistic model which is used to find how averages of different data sets differ in case the standard deviation and Z-scores statistic helps to draw data from populations with different means and standard deviations and also place them on a common scale.
The z-core formula is:
Z₁=[tex]\frac{x-m}{s}[/tex]
Therefore the fundamental difference is that the t-test uses the variance in place of the population variance.
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Complete question:
Which of the following is a fundamental difference between the t statistic and a z-score?
A) The t statistic uses the sample mean in place of the population mean
B) All of the choices are differences between t and z.
C) The t statistic computes the standard error by dividing the standard deviation by n - 1 instead of dividing by n.
D) The t statistic uses the sample variance in place of the population variance.
A line with the slope of 10/17 passes through the point (17,3). Whats is its equation in slope intercept form?
Answer:
y = 10/17x - 7
Step-by-step explanation:
→ Write in standard form
y = 10/17x + c
→ Substitute in (17, 3)
3 = 10 + c
→ Solve for c
c = -7
→ Rewrite
y = 10/17x - 7
write a division equation that has a solution of -9/14 .
The Division Equation that has solution of -9/14 will be [tex]\frac{-18x}{28x}[/tex].
What is Division Equation?
Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety.
For given solution i.e. -9/14, we can write division equation as follows,
[tex]\frac{-9* 2x}{14*2x}[/tex]
i.e. [tex]\frac{-18x}{28x}[/tex]
Hence, The division equation that has solution of -9/14 will be [tex]\frac{-18x}{28x}[/tex].
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8. Divide-2x³-4x² + 3x + 2 by x-3. (1 point)
-2x²10x-27, R-79
-2x²10x-27
-2x²10x - 27, R 83
-2x²10x + 27, R 83
The value of the quotient of the polynomial is 2x^2 + 2x + 10 and the remainder is 28
What does it mean to divide polynomials?A method for solving a rational number that represents a polynomial divided by a monomial or another polynomial is called "dividing polynomials." In order to divide normally, we place the dividend and the divisor in the exact same manner.
How do you divide polynomials?Divide the first term of the dividend by the highest term of the divisor, which in this case is x (i.e., the term with the highest power of x).
Divide the divisor by the outcome you just got (the first term of the eventual quotient).
By following the above rules where
2x3-4x2+3x+2 is divided by the x-3, We get the following equation
where
quotient is 2x2+2x+10
and the remainder is 28
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PQ and RS are two lines that intersect at point T, as shown below: Two lines PQ and RS intersect at point T. Angles PTR and STQ are shown congruent. Which statement is used to prove that angle PTR is always equal to angle STQ? (1 point) Lines PQ and RS do not have a fixed length. Angle PTR and angle PTS are supplementary angles. Lines PQ and RS intersect at an angle less than a right angle. Angle PTR and angle PTS are complementary angles.
The statement that is used to prove the congruence of angles PTR and STQ is given by:
Lines PQ and RS intersect at an angle less than a right angle.
What are congruent angles?Congruent angles are angles that have the same measure.
One example of congruent angles is for vertical angles, as these angles are opposite by the same vertex in crossing segments, with an angle less than a right angle of 90º, and then these two angles will be congruent.
The common vertex in the segment given at the end of the answer is of:
T.
The vertical angles are both acute angles, that is, angle measures that are less than 90º, which is the reason for the correct statement.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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If f(1)=160 and f(n+1)= -2f(n) what is f(4)
Answer:f(4)=−2f(3)=(−2)∗(+640)=−1280
Sheila gained 20 pounds in 9 1/2
Months. Find Sheila’s rate of gaining weight in pounds per month
Answer:
About 2.1 pounds a month.
Step-by-step explanation:
In this question, we know the amount of weight gained and the time it took, 20 pounds and 9.5 months.
to find the rate, we can do:
20/9.5
about 2.1
So, the answer will be:
about 2.1 pounds / month
A set of elementary school student heights are normally distributed with a mean of 105105105 centimeters and a standard deviation of 101010 centimeters. Ikue is an elementary school student with a height of 90. 490. 490, point, 4 centimeters. What proportion of student heights are lower than ikue's height?.
0.0721 proportion of the students in the class have a height less than Ikue's height.
Here, we are given that a set of elementary school student heights are normally distributed with a mean of 105 cm ⇒ μ = 105 and standard deviation 10 cm ⇒ σ = 10
The z score can be calculated using the formula-
Z = (X - μ) / σ
X is the observed value, here, X = 90.4
Since we need the proportion of student heights are lower than ikue's height, we look at the negative z score only.
Substituting the values in the z score formula we get-
Z = ( 90.4 - 105) / 10
Z = - 1.46
Now, from the z score tables, we see that the value of Z < -1.46 is 0.0721.
Thus, 0.0721 proportion of the students in the class have a height less than Ikue's height.
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The table shows the ingredients for one batch of barbecue sauce. Anne has 9 cups of ketchup and makes the greatest number of whole batches of barbecue sauce possible. How much ketchup remains?
No cup of ketchup remains.
From the question ingredients for one batch of barbecue sauce are as follows:Brown Sugar =1/4 C
Cider Vinegar = 1/2 C
Ground Cumin = 1tsp
Ketchup = 2/3 C
Pepper = 1tsp
Total Quantity of Ketchup =9 cups
Calculating How much ketchup remaining:1 batch of barbecue sauce =2/3 Cup
x batch of barbecue sauce =9 Cups
cross multiplying and making x batch of barbecue sauce subject of the formula:x batch of barbecue sauce = 9 Cups *1 batch of barbecue sauce
2/3 Cup
x batch of barbecue sauce =13[tex]\frac{1}2}[/tex] batches
we know that;
1 batch of barbecue sauce =2/3 Cup
Therefore,
The total number of ketchup Cups used = Total batch of barbecue sauce *quantity for1 batch of barbecue sauce
= 13[tex]\frac{1}2}[/tex] batches * 2/3 Cup
The total number of ketchup Cups used = 9 Cups
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An 80% confidence interval for a proportion is found to be (0. 27 , 0. 33). What is the sample proportion?
A. 0. 29
B. 0. 30
C. 0. 31
D. 0. 33
If an 80% confidence interval for a proportion is found to be (0.27, 0.33), then the sample proportion would be 0.30
What do you understand by sample proportion?Sampling is frequently used to estimate the proportion of a population that has a given attribute, such as the proportion of all faulty goods coming off an assembly line or the proportion of all individuals visiting a retail store who make a purchase before leaving. The percentages for the population and sample are written as p and p, respectively. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.
The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance.
How to solve?
For this case the confidence interval is given by:
(0.27; 0.33)
We can find the estimaed proportion in the following way:
p = (0.27 + 0.33)/2 = 0.30
then the sample proportion would be 0.30
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Please help!
Worth 20
the Area will be 280 inch².
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The base of triangle = 20inch
The height of triangle = 14inch
Area is = (base * height) = (20*14)
Area = 280 inch²
Hence the Area will be 280inch²
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2. Paola's dog, Rex, dug holes in opposite corners of
Paola's rectangular yard. If the yard is 11 meters long and
4 meters wide, what is the distance between the holes?
17
4. Feng is designing the layout for his rectangular garde
The distance between holes is 11.7m
What is a diagonal?A diagonal is a line segment that joins one corner (vertex) of a polygon to another but is not an edge (side). In other words, it joins any two non-adjacent vertices of a polygon. So, we form a diagonal in a polygon when we directly join any two vertices which are not joined by any side.
let x be the distance between opposite holes which is the diagonal of the rectangle.
so that,
x^2 = 11^2 + 4^2
x^2 = 121 + 16
x^2 = 137
x = [tex]\sqrt{137}[/tex]
x = 11.7km
In conclusion the distance between holes is 11.7km
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A four-sided figure is resized to create a scaled copy. The lengths of its four
sides change as in the table below.
Original Figure Scaled Copy
36
45
54
8
10
12
Find the constant of proportionality from the original
figure to the scaled copy. Express your answer as a
fraction in reduced terms.
The proportionality constant from the original figure to the scaled copy is 2/9.
What is the proportionality constant?The constant of proportionality is the ratio between two given integers in what is known as a proportional relationship. The proportionality constant is also known as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
We have here
To make a scaled duplicate, a four-sided figure is resized.
The proportionality constant from the original figure to the scaled copy is: 8/36 = 10/45 = 12/54 = 2/9.
As a result, the proportionality constant from the original figure to the scaled copy is 2/9.
Hence, the proportionality constant from the original figure to the scaled copy is 2/9.
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You have at most 7 hours to spend playing soccer and swimming. You
want to spend at least 2 hours playing soccer and more than 2 hours
swimming. Write and graph a system that represents the situation. Give
one example of the amount of time you can spend on each activity.
Answer:
Step-by-step explanation:
PLS HELP MEEEEEEEEEEEEEEEEEEEE
The area of the triangle in the image is 1/20 square centimeters.
How to find the area of the figure in the image?This is a rather trivial problem.
On the image, we can see a triangle where the height and the base are known quantities.
Remember that for a triangle of height H and base B, the area is given by the formula:
A = B*H/2
Here we can see that:
H = (1/6) cm
B = (3/5) cm
Then we can replace these two fractions on the area formula, we will get:
A = (1/6 cm)*(3/5 cm)/2
A = (3/5*6 cm²)/2
A = (3/30*2 cm²)
A = (3/60 cm²) = (1/20 cm²)
That is the area of the triangle in the image.
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square pqrs has sides of length $4$, and $m$ is the midpoint of $\overline{rs}$. a circle centered at $m$ with radius $2$ intersects the circle centered at $p$ with radius $4$ at points $n$ and $s$. what is the distance from $n$ to $\overline{ps}$?
The distance between N and PS is 3.2.
What is the midpoint of the segment?
Take the distance between the two endpoints and divide it by two. This distance from either end is the line's midpoint. Alternatively, add the endpoints' x coordinates and divide by 2. Repeat for the y coordinates.
From the below figure,
N is the intersection of the red and blue circles.
I’ve drawn PQRS as the square (0,0), (4,0), (4,4), and (0,4).
Then the formula for the red circle is:
(x-2)² + (y-4)² = 4.
The formula for the blue circle is
x² + y²- 16 = 0.
Solving for x and y yields intersections
(0, 4) and (3.2, 2.4),
the first being S and the latter being N.
Hence, the distance between N and PS is 3.2.
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