Answer:
To find the reflection of a function across the x-axis, we simply need to change the sign of the y-coordinates of the function's points. Therefore, the reflection of f(x) = 4x + 10 across the x-axis is g(x) = -(4x + 10) = -4x - 10.
Step-by-step explanation:
To find the reflection of a function across the x-axis, we can follow these steps:
Start with the equation of the original function, which in this case is f(x) = 4x + 10.Change the sign of the y-coordinates of the function's points. This means that we need to multiply the entire equation by -1.Substitute the result from step 2 into the original equation to find the reflected function. In this case, we get g(x) = (-1)(4x + 10) = -4x - 10.Here is an example of how this works in practice. Let's say that the original function f(x) has the points (1,14) and (2,18).
The reflection of these points across the x-axis would be (1,-14) and (2,-18), respectively.
To find the equation of the reflected function g(x), we would simply substitute these points into the equation from step 3 to get g(x) = -4x - 10.
Need help Asap 25 points
Graph the solution to this inequality on the number line.
−8+x<−3
Answer:
x< 5
Step-by-step explanation:
See the graph below
The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35.
Write a system of equations for the situation. Use r for the amount charged for a refill and b for the amount charged for the egg breakfast.
Graph the equations in the system.
Use your graph to estimate how much each item cost.
The equations are 2r + b = 8.40 and 3r + b = 9.35. Then the cost of refill and egg breakfast will be $0.95 and $6.50, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The eatery charge you and your companion got was not organized. You requested 2 beverage tops off and the egg breakfast, for a sum of $8.40. Your companion requested 3 tops off and the egg breakfast for $9.35.
Let 'r' be the cost of refill and 'b' be the cost of egg breakfast. Then the equations are given as,
2r + b = 8.40 ...1
3r + b = 9.35 ...2
From equations 1 and 2, then we have
3r - 2r = 9.35 - 8.4
r = $0.95
Then the cost of the egg breakfast will be given as,
2 (0.95) + b = 8.40
b = $6.50
The equations are 2r + b = 8.40 and 3r + b = 9.35. Then the cost of refill and egg breakfast will be $0.95 and $6.50, respectively.
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PLS HELP WITH THIS ASSIGNMENT OMG ITS SO HARD FOR ME
The new coordinates of each of the triangle coordinates are;
1) A'(-12, 6), B'(3, 9), C'(-9, 18)
2) A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)
3) X'(-8, 2), Y'(2, 14), Z'(8, 8)
4) X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)
5) A'(-8, 4), B'(2, 6), C'(-6, 12)
6) X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)
7) X'(-20, 5), Y'(5, 35), Z'(20, 20)
8) A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)
How to carry out dilation in transformation?Dilation is a transformation whereby an image size could increase or even decrease but will retain the same shape as the original one. Therefore, we will simply multiply each coordinate by the scale factor;
The coordinates of both triangles are given as;
Triangle ABC = A(-4, 2), B(1, 3), C(-3, 6)
Triangle XYZ = X(-4, 1), Y(1, 7), Z(4, 4)
1) The dilation transformation of triangle ABC by a scale factor of 3 means we multiply each ABC coordinate by 3 to get;
A'(-12, 6), B'(3, 9), C'(-9, 18)
2) The dilation transformation of triangle ABC by a scale factor of 1/2 means we multiply each ABC coordinate by 1/2 to get;
A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)
3) The dilation transformation of triangle XYZ by a scale factor of 2 means we multiply each XYZ coordinate by 2 to get;
X'(-8, 2), Y'(2, 14), Z'(8, 8)
4) The dilation transformation of triangle XYZ by a scale factor of 1/4 means we multiply each XYZ coordinate by 1/4 to get;
X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)
5) The dilation transformation of triangle ABC by a scale factor of 2 means we multiply each ABC coordinate by 2 to get;
A'(-8, 4), B'(2, 6), C'(-6, 12)
6) The dilation transformation of triangle XYZ by a scale factor of 1/3 means we multiply each XYZ coordinate by 1/3 to get;
X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)
7) The dilation transformation of triangle XYZ by a scale factor of 5 means we multiply each XYZ coordinate by 5 to get;
X'(-20, 5), Y'(5, 35), Z'(20, 20)
8) The dilation transformation of triangle ABC by a scale factor of 1/4 means we multiply each ABC coordinate by 1/4 to get;
A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)
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SOMEONE PLEASE HELP I HAVE NO CLUE HOW TO DO THIS!!!!!!!!
Each of 36 students at a school play bought either a cup of orange juice or a sandwich. A cup of orange juice costs $1 and a sandwich costs $3. The total amount collected was $76. How many students bought orange juice, and how many bought a sandwich?
Let x represent the number of students who bought a cup of orange juice and y represent the number of students who bought a sandwich. Then the problem can be represented by this system of equations:
x + 3y = 76
x + y = 36
Answer the questions to solve the problem.
1. Explain what you should do with the two equations to eliminate one of the variables.
2. Find the value of y.
3. Find the value of x.
4. Interpret the solution and check the values in the system.
20
Select the correct answer.
What is this expression in simplified form?
2√2-7√18
O A. 84√2
OB. 18√5
O c. 14sqrt6
O D.
D. 84
The Question is based on concept of Simplification and answer to this question is -19√2
What is Simplification?
Simplification is the process of making a task, problem, or system easier to understand and manage. It involves breaking down a concept or problem into simpler parts in order to better understand the whole. Simplification can help streamline a process, making it more efficient and easier to complete. It can also help to make complex topics more accessible to a wider audience. Simplification can also be used to make a difficult problem more manageable, allowing for easier solutions.
Here we are given question 2√2 - 7√8 we can do some simplifications like:
but we know we can write √8 = 3√2
hence putting back in original eqn
2√2 - 7(3√2)
2√2 - 21√2
-19√2
Hence required answer is -19√2 by simplification
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find an equation of the tangent line to the curve at the given point. y = x3 − 2x + 2, (4, 58)
Answer:Y=10X-16
Step-by-step explanation:
y = x3- 2x 2,( 2, 4)( Given)
Find the first outgrowth, calculate the pitch and find the equation.
We should first know the pitch of the wind at(,4)
pitch at any point on the wind is written by its first outgrowth as
dy/ dx = 3x2- 2
pitch at x = 2
m = 3( 2) 2- 2 = 12- 2 = 10
Equation of a digression is given as
c mx = y
Where m is the pitch
Substituting the values
c 10 × 2 = 4
On farther computation
c 20 = 4
c = 16
The equation of the digression is y = 10 x- 16
Thus, the equation of the digression line to the wind is y = 10x-16
In a group of 42 people, 30 people speak Spanish and 20 people speak French. Who speaks neither of these languages?
The number of people who speaks neither of these languages is 8.
How many people speaks neither of these languages?Set theory is a branch of mathematical logic that studies sets, which can be described informally as collections of objects. Although any object can be collected into a set, set theory as a branch of mathematics is primarily concerned with those that are relevant to mathematics as a whole.
Sets are well-defined collections that are entirely defined by their elements. In this case, in the group of 42 people, 30 people speak Spanish and 20 people speak French, those who speak neither of these languages will be:
= 20 + 30 - 42
= 8
Therefore, 8 people neither speaks the languages.
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Find the x- and y-intercepts of the graph of
x + 2y = 28.
Answer:
(0,14) This is the y intercept.
(28,0) This is the x intercept.
Step-by-step explanation:
Let x = 0
x + 2y = 28
0 + 2y = 28
2y = 28 Divide both sides by 2
x = 14
(0,14) This is the y intercept.
Let y = 0
x + 2y = 28
x + 2(0) = 28
x + 28
(28,0) This is the x intercept.
Which of the following statement is NOT true?
a. Congruent triangles are triangles with corresponding congruent sides.
b. Two triangles with corresponding congruent angles are congruent.
c. Triangles with corresponding congruent sides and an included angle are congruent.
d. Triangles with corresponding congruent angles and an included side are congruentâ
The foot of the perpendicular drawn from the point (2, 3) to a line is (3, -1). Find
the equation of the line. Also find the equation of the line parallel to the line and
passing through the origin.
Answer: y=4x-5 y=4x
Step-by-step explanation:
first we find the slope by using
(y2-y1)/(x2-x1)
(-1-3)/(3-2)
-4/1
-4
so we know the slope is -4
y=4x+b
now we can use either point but ill use (2,3)
we substitute to find b
3=4(2)+b
3=8+b
-5=b
so now we know that the y intercept is -5
so put it together
y=4x-5
if it passes through the origin
it would have the y-intercept of 0
so that equation just be
y=4x
and it keeps the same slope
because they are parallel
hope this helped
These five frames show a shape's different positions. Describe how the shape moves to get from its position in each frame to the next.
The motion of the shape in each frame are:
Frame 1 - Initial position of the shapeFrame 2 - Horizontal Translation towards the rightFrame 3 - 90 degree Rotation about its baseFrame 4 - Vertical Translation downwardsFrame 5 - Reflection of the shapeWhat is Rigid transformation?Rigid transformation is a method in which the orientation, size or position of a given object is changed.
Rigid transformation implies either increasing, decreasing or changing the orientation of a given shape. Some types of rigid transformation are: reflection, rotation, translation, and dilation.
i. Reflection is a method in which a given object is flipped about a reference point or line.
ii. Rotation is the process in which a given object is turned about a certain angle in degrees.
iii. Translation involves moving a given object a definite units horizontally or vertically.
iv. Dilation is a process in which the dimensions of a given object is either increased or decreased as required.
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7. A carpenter has a plank of wood that is 121.92 centimeters
long. The carpenter cuts the plank into 4 equal pieces. About
how long is each piece?
about
centimeters
The length of each wooden plank will be 30.48 cm
What is the length of each wooden plank?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.There are three kinds of fractions. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.Here given,
The total length of the wooden plank is 121.92 centimeters.
Also given that ,
A carpenter cuts the plank into 4 equal parts
=> 121.92 / 4
=> 30.48
Therefore the length of each piece will be 30.48 cm
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PLS HELP 100 POINTS
....................................
Answer: i know how to do it but i can't really see it pls bring it closer
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Writing Equations of Lines of Best Fit
Answer: y=-2x+36
Step-by-step explanation:
slope intercept form
Y=mx+b
m= slope
b= Y-intercept
to find the slope, use the slope formula
y2-y1=x2-x1
(4,28),(11,14)
14-28/11-4
-14/7
-2
Slope is -2
y=-2x+b
Substiute in (11,14) to find b
14=-2(11)+b
14=-22+b
b=36
y=-2x+36
Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set a goal for herself to knit at least 15 scarves and at the most 19 scarves this week. Eve wants to know how many scarves she should knit each day to meet her goal.
Which inequality represents the given situation?
• A. 15 ≤ 2x - 9 _> 19
• B. 15 ≤ 2x - 9 ≤ 19
• C. 15 ≤ 2x + 9 ≤ 19
• D. 15 _>2x+9 _>19
Answer: C. 15 ≤ 2x + 9 ≤ 19
Step-by-step explanation:
We know that her goal is to knit at least 12 scarves and, at the most, 19 scarves
So it has to be bigger or equal to 15 and smaller or equal to 19, so it can't be A or D.
We also know that she has already knitted 9, so our equation has to have a +9
So the answer is C. 15 ≤ 2x + 9 ≤ 19
Don has a box of colored pencils . He uses 53 Pencils and has 118 Left in the box. Write an equation showing How many pencils left in the box before he starts drawing.
Answer:
He has 171 colored pencils before drawing
53+118 = c
Step-by-step explanation:
To write the equation:
53+118 = c
171=c
Answer:
x = 53 + 118
Step-by-step explanation:
Now we have to,
→ find and write an equation.
Let's assume that,
→ Total pencils = x
Forming the equation,
→ x = Used pencils + Left pencils
Then the equation will be,
→ x = 53 + 118
→ [ x = 171 ]
Hence, total pencils are 171.
HELP ME PLEASEEEEEEEE
Answer: Look in the attachment:
Step-by-step explanation: If it was random sampling, it would all be done randomly, barley without doing anything, and NOT doing anything particular, the 4 that are circled (in the attachment) are the ones that I am talking about; they ARE NOT examples of random sampling. If you look at the attachment, you might understand a little more :P
Angles 1 and 7 are what type of angles?
A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior
D. Corresponding angles
Answer:
B. Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are pairs of angles on the outer side of the two parallel lines but on the opposite side of the transversal. They also have the same degree. So, the answer is B.
6. A car takes 5 hours to cover a distance if it is moving with a
speed of 40 km/hr. Find the time taken by the car if it is
movig with a speed of 50 km/hr.
Answer:
It will take 4 Hours
Step-by-step explanation:
5 x 40 equals 200 (So 200 is the total distance needed to be made)
We can now divde the total distance by how fast the car is moving to get the time.
200 / 50 = 4
So the answer is 4 hours
At a conference, there are 90 math teachers and 75 science teachers. write the ratio of math teachers to science teachers in simplest form.
Answer:
6:5 or [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
[tex]\frac{90}{75}[/tex] Divide by [tex]\frac{15}{15}[/tex]
[tex]\frac{6}{5}[/tex] or 6:5
Consider the given density curve. a uniform density curve is at startfraction 1 over 12 endfraction. what is the value of the median? 8 12 14 20
The median of the probability density curve is (c) 14
How to determine the median of the density curveFrom the question, we have the following parameters that can be used in our computation:
Initial position = 1/12
Suppose we have a set {x₁, ..., xₙ}
The median is the number at the middle.
The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.
In the given graph, we have
Constant density curve that goes from 8 to 20.
Because it is constant, the median will just be equal to the mean,
So, the median is the average between the two extreme values.
The average of two numbers a and b is calculated as
(a + b)/2
So we have
Median = (a + b)/2
Substitute the known values in the above equation, so, we have the following representation
Median = (20 + 8)/2
Evaluate
Median = 14
Hence, the median is 14
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Let S be the part of the plane 1x+3y+z=3 which lies in the first octant, oriented upwards. Find the flux of the vector field F=3i+2j+3k across the surface S.
Answer:
Refer to the photo taken.
Step-by-step explanation:
true or false: in a probability model, the sum of the probabilities of all outcomes must equal 1.
Answer:
Step-by-step explanation:
false that is not at all true
Find the square root of each number.
√81
√169
Answer:
9, 13
Step-by-step explanation:
√81 = √9 x 9 = 9
√169 = √13 x 13 = 13
a square has an area of 121 feet square feet. what is the length of each side
Answer: 11 feet
Step-by-step explanation:
The equation for area of square is
area = s^2
So we just need to take the square root of 121, and we will get the answer is 11 ft!
Answer:
11 ft
Step-by-step explanation:
Since the area of the square is 121 (and squares have all four sides the same length), the sides must be 11 feet. Because
11 × 11 = 121
You could show work by using an equation.
Area = s^2
121 = s^2
Square root both sides.
sqrt121 = sqrt(s^2)
11 = s
The side length is 11 feet.
Determine the sign of the solution of
ax+b=cx+d in each situation. Justify your
reasoning with a graph.
a. 0
b. d
Answer:
ax+b=cx+d
Step-by-step explanation:
what does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to zero?
The probability of a success gets closer to zero is 15.
What is behavior of the standard deviation ?
The average squared difference between data points and their mean value is called variance, and it is the variance's square root that is used to calculate standard deviation. The symbol for standard deviation can be seen below.
Both the standard deviation and the variance are indicators of dispersion, but the standard deviation is more explicitly the typical distance between a data point and the mean. The majority of the data will be within one standard deviation of the mean. While the variance is not measured in the same units as the actual data, the standard deviation is
If mean deviation is 12, what is its standard deviation?
Lets look the problem .
Given ,
Mean deviation (MD) =12
Here is the inequality to calculate the standard deviation.
6QD=5MD=4SD ,
Where ,QD stands for the Quartile deviation.
SD stands for the standard deviation.
So,
Standard deviation =(5/4)*MD
=(5/4)*12
=15
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the points in the table lie on a line. find the slope of the line (X. -2, -1, 0, 1) (Y. -10, -6, -2, 2)
Answer: the slope of the line is 4
Step-by-step explanation:
We only need two ordered pairs to find the slope
(-2,-10), (-1,-6)
the slope formula is y2-y1/x2-x1
-6-(-10)/-1-(-2)
-6+10/-1+2
4/1
4
the slope of the line is 4
Answer:
4
Step-by-step explanation:
Knowledge Needed
The slope is the amount the y-value changes on a line when the x-value changes by 1.
Slope Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Question:
We have the points:
(-2,-10)
(-1,-6)
(0,-2)
(1,2)
We only need 2 points to plug into the slope formula. I'll use the first 2.
(-2,-10) ; (-1,-6)
[tex]\frac{-6--10}{-1--2}[/tex]
[tex]\frac{4}{1}[/tex]
4
question 3 how many elements are there in this object called sample means small? 0 / 1 point 0 3 25 100 5,000
In the given sample mean, there are total 5 elements present.
What is a sample mean?An average of a group of data is called a sample mean.
A data set's central tendency, standard deviation, and variance can all be determined using the sample mean.
A population average can be determined using the sample mean, among other things.
Both the sample mean and sample median are helpful statistics for outlining a data set's core tendency.
The sample mean uses all of the data values because it is the arithmetic average.
Extreme values have no impact on the sample median, which simply uses one or two middle values.
So, we have the sample mean:
0 | 3 | 25 | 100 | 5,000
Now, in the given sample mean we can count that the number of values or the elements is 5.
Therefore, in the given sample mean, there are total 5 elements present.
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Correct question:
How many elements are there in this object called a sample means small?
Sample mean:
0 | 3 | 25 | 100 | 5,000
Rewrite the following equation in standard form. y= 10x-9
The equation y = 10x - 9 is rewritten in standard form as: -10x + y = -9.
What is the Equation of a Line in Standard Form?A line's equation can be expressed in standard form as Ax + By = C. Here, A, B, and C are integers.
How to Write the Equation of a Line in Standard Form?We are given the equation of a line as y = 10x - 9, which is expressed in slope-intercept form. We are asked to rewrite the equation in standard form. Follow the steps below:
y = 10x - 9 [given]
Subtract 10x from both sides of the equation:
y - 10x = 10x - 9 - 10x [subtraction property of equality]
y - 10x = -9
Rearrange the equation to fit the standard form:
-10x + y = -9
Therefore, in standard form, the equation, y = 10x - 9 is rewritten as -10x + y = -9.
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