The graph that shows a dilation among the given graphs is; Graph F.
What is dilation?Dilation in graphs simply means each side is multiplied by the same
scale factor. What this means is that the ratio of each dilated side to their respective old sides before dilation must be the same scale factor.
We can see that the pre-dilated image has 2 units along the y - axis and 4 units across the x-axis. After dilation, it now has 4 units along the y - axis and 8 units across the x-axis. This means the scale factor in both axis are; 4/2 = 2 and 8/4 = 2. They are both the same scale factors and as such this graph shows a dilation.
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Factor 5a2 - 30a + 40.
A) 5(a - 2)(a + 4)
B) (a - 20)(a - 2)
O C) 5(a - 2)(a - 4)
OD) (5a - 5)(a - 8)
PLEASE HELP
2!/0!=
0
2
undefined
Answer:
2
Step-by-step explanation:
any expression divided by 1 remains the same
you can also calculate the factorial
what is 1 1/2+2 1/3?
Step-by-step explanation:
In order to find the answer, we need to, find the denominator. The least common denominator would be 6 for 1 1/2 + 2 1/3, so if you would do it on paper, the equation would look like this, 1 3/6 + 2 2/6. Now that we have the same common denominator, we can add the fractions together. First we add the wholes, 1+2 = 3, and then, 3/6 + 2/6 which would be 5/6. Then combine you're answer together, and you would get 3 5/6 as your final answer.
Cheers!
Answer:
3 ⅚
Step-by-step explanation:
1 ½ + 2 ⅓
(1 + 2) + (½ + ⅓)
3 + ⅚
= 3 ⅚
2. Solve the following:
a. When six is added to four times a number the result is 50. Find the number.
b. The sum of a number and nine is multiplied by -2 and the answer is -8. Find the
number
10
m in
Step-by-step explanation:
a) let number=x
four times a number=4x
Condition:
4x+6=50
4x=50-6
4x=44
x=44/4
x=11
b) Condition:
x+9×-2=-8
x-18=-8
x=-8+18
x=10
Note:if you need to ask any question please let me know.
Barbie spent $166 on clothes. She bought some shirts that cost $14 each and some pants that cost $22 each. She bought a total of 9 items. Select the system of equations to determine how many shirts and pants Barbie purchased. Let x represent the number of shirts and y represent the number of pants.
x + y = 166
14x + 22y = 9
x + y = 166, , 14x + 22y = 9,
x + y = 9
22x + 14y = 166
x + y = 9, , 22x + 14y = 166,
x + y = 9
14x + 22y = 166
x + y = 9, , 14x + 22y = 166,
x + y = 36
166x + 9y=14x + 22y
The correct system of equations will be;
⇒ x + y = 9
And, $14x + $22y = $166
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Barbie spent $166 on clothes.
The cost of each pant = $22
The cost of each shirt = $14
Total number of items = 9
Now,
Let number of shirts = x
And, The number of pants = y
Since, Total number of items = 9
So, we can formulate;
⇒ x + y = 9
And, The cost of each pant = $22
The cost of each shirt = $14
So, We can formulate;
⇒ $14x + $22y = $166
Therefore, The correct system of equations will be;
⇒ x + y = 9
And, $14x + $22y = $166
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I NEED HELP
(-8, 6); slope = 1/4
6 = 1/4(-8) +b
6 = -2 +b
8 = b
y = 1/4x +8The equation of this line having slope 1/4 and points (-8,6) is y = (1/4)x + 8.
What is slope ?Slope is the rate of change.It can also be thought of as rise over run.
According to the given question slope(m) is 1/4 and point is (-8,6).
We know equation of a line in slope intercept form is y = mx + b, where b is the y intercept.
∴ 6 = (-8)1/4 + b.
6 = - 2 + b.
b = 8.
Now the equation of this line in slope intercept from can be written as
y = (1/4)x + 8.
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Please if you know the answer tell me it and the steps also thank you.
Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.
Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..
what is the sum? ABCDPlease tell me which letter is the correct answer
Matrix addition can only be performed on matrices of the same size.
This means that you can only add matrices if both matrices are m × n.
For example, you can add two or more 3 × 3, 1 × 2, or 5 × 4 matrices. You cannot add a 2 × 3 and a 3 × 2 matrix, a 4 × 4 and a 3 × 3, etc.
The number of rows and columns of all the matrices being added must exactly match.
Therefore, the answer is letter D - These two matrices cannot be added.
HELPPOOOOOOOOOO!!!!!!!!!!!!!!!!!!!
Answer:
the correct answer is3 1/2
If a bus is charged $122, how many people do you think it contains?
Answer:
38 people
Step-by-step explanation:
In this case, we can see that, being two people, the cost is 14 and when it is double, that is, 4 people, the value is not 28 but 20.
Which means that there is an additional value that is being charged for the vehicle, that is:
let "c" be the value of the vehicle and "x" be the value per person
c + 2 * x = 14
c + 4 * x = 20 => c = 20 - 4 * x
replacing:
20 - 4 * x + 2 * x = 14
-2 * x = 14-20
-2 * x = -6
x = 6/2
x = 3
for C:
c = 20 - 4 * 3
c = 8
Which means that the formula for the value of the input would then be:
e = 8 + 3 * n
where "n" is the number of people.
Now, we are told that for e = 122
122 = 8 * + 3 * n
3 * n = 122 -8
n = 114/3
n = 38
which means that for that bus there are a total of 38 people
In India, many families use mini solar cookers on their balconies. In most instances, the sun’s rays reflect off the parabolic mirror toward the dish, which is placed 32 cm from the center of the cooker. The distance from the vertex to the edge of the cooker is 68 cm.
A parabolic reflector in orange that is 32 cm away from the center of the cooker. The center of the cooker is labeled as (0,0) and the vertex of the parabola is labeled as (-32,0). The distance from the vertex to the edge of the cooker is 68 cm.
1. What are the coordinates of the edges of the cooker? What is the distance all the way across the cooker from the two points labeled "edge of the cooker?"
2. Write an equation for the parabolic mirror using the coordinates. Explain how you wrote the equation.
1. The distance all the way across the cooker. In this case, 136 cm.
1. The coordinates of the edges of the cooker can be determined by considering the distance from the vertex to the edge of the cooker. Given that the distance from the vertex to the edge is 68 cm, and the vertex is at (-32, 0), we can find the coordinates of the edges as follows:
One edge of the cooker: (-32 + 68, 0) = (36, 0)
The other edge of the cooker: (-32 - 68, 0) = (-100, 0)
The distance all the way across the cooker. In this case, it is 36 - (-100) = 136 cm.
2. To write an equation for the parabolic mirror, we can use the standard form of a parabolic equation, which is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.
In this case, the vertex is at (-32, 0).
The equation becomes y = a(x + 32)² + 0.
Substituting these coordinates into the equation, we get:
0 = a(36 + 32)² + 0
0 = a(68)²
0 = 4624a
From this, we can see that a = 0, which means the equation simplifies to y = 0, indicating that the parabolic mirror is a straight line along the x-axis.
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When solving a system of equation Jared found?
Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression.
In the given question, when solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.
Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation.
We have to check who is correct.
Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression. You can then resolve. In contrast to Nicole, who would have produced a one-variable equation that can be used to solve for y, Jared would have produced an equation with just one variable that can be used to get the value of x.
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The right question is:
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation. Who is correct? Explain.
a player scored 89 points in a single professional basketball game. he made a total of 55 baskets, consisting of field goals (worth two points) and fouls shots (worth one point). find the number of field goals and the number of fouls shots that the player made
The player made 38 foul shots.
Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:
F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)
2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)
The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:
S = 55 - F
Next, we change S in the second equation to the following expression:
2F + (55 - F) = 89
When we simplify and find F, we obtain:
F = 17
Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:
17 + S = 55
S = 38
The player so scored 38 fouls.
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what is the difference of twice a number and 3 is 11
Answer:
2x - 3 = 11
x = -21
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Can someone help me please I'll give brainilest
Answer: 0.31
Step-by-step explanation: I did some math (5.19 / 16.8 = 3.089 rounded up is 0.31
4x^2+x^3 factorised
How do you do this?...
Answer:
X²(4+x)
Step-by-step explanation:
You pick out the common term
Greetings.
The answer is x²(4+x)
Explanation:
\(4x^2+x^3\\\)
By using a common factor, we factor x-term out. We factor the x-term with least degree and that is 2-degree. So we factor x² out.
When factored out, It's similar to dividing. When x² is divided by itself, the result is 1. When x³ is divided by x², the result is x (From the property of exponent.)
Similar to dividing, but we pull x² out.
\(4x^2+x^3\\x^2(4+x)\)
Therefore, the answer/factored form is x²(4+x)
4 kilometer from house to the nearest mailbox. how far is it in meter?
Answer:
4 kilometers is equal to 4000 meters.
Step-by-step explanation:
1 kilometer is equal to 1000 meters, so 4 kilometers is equal to 4 x 1000 = 4000 meters. This is because the prefix "kilo" means 1000, so 1 kilometer is equivalent to 1000 meters.
Which of the following equations is of a parabola with a vertex at (4, 0)
y = x2 + 4
y = ( x - 4) 2
y = x2 - 4
y = ( x + 4) 2
Answer:
y = (x - 4)²
Step-by-step explanation:
the parent function y = x² has its vertex at (0, 0 )
the graph of y = (x - 4)² is the graph of y = x² translated horizontally by 4 units.
• a shift of 4 units is a shift to the left
• a shift 0f - 4 units is a shift to the right
Then
a vertex at (4, 0 ) has equation y = (x - 4)²
Write the equation of the line that passes through (-2, 4) and is perpendicular to x = 3.
Check the picture below.
help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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Solve the question below:
Answer:
x = 15
Step-by-step explanation:
3x+1+4x-3 = 103
7x = 105
x = 15
Solve the system using elimination. x – y = –5 3x + y = 1
(–1, 4)
(–1, 2)
(2, –2)
(–3, 4)
Answer:
(–1,4)
Step-by-step explanation:
x – y = –5
3x + y = 1
You omit Ys due to their positive and negative signs and you got
4x = –4===> x= –1
and now place –1 inside the upper linear equation and there you have the Y, look
–1 – Y= –5===> –Y= –4===> Y = 4
(–1,4)
using d=rt , where d=distance r=rate and t=time how fast is a jogger moving if she travels 5.7 miles in 1.3 hours? to the nearest tenth
Answer:
\(r=4.38\)
Step-by-step explanation:
Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)
\(\frac{d}{t} = \frac{rt}{t}\)
\(t\) cancels out on the right side.
Step 2: Substitute in the numerals
\(r=\frac{d}{t}\)
\(r=\frac{5.7}{1.3}\)
Step 3: Divide
\(r=4.38\) \(mph\)
There's your answer!
Hope this helps you!
the scale on a map is 1:16000 what is the actual distance represented by 1 centimetre give
Answer:
1:16000
0.01:x
cross multiply
x=16000*0.01
x=160
The actual distance represented by 1 centimetre is 0.16 kilometres.
Given that, the scale on a map is 1:16000.
We need to find what is the actual distance represented by 1 centimetre.
What is the scale factor?A scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size.
Now, the scale on a map is 1:16000.
That is 1 centimeter in map = 16000 actual centimeters.
1 meter = 100 centimeters.
1 kilometer = 1000 meter.
So, 1 kilometer = 100000 centimeters.
Now, the actual distance=16000/100000=0.16 km
Therefore, the actual distance is 0.16 km.
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Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the mean of his test scores?
Answer:
88.75%
Step-by-step explanation:
add all the terms given = 355
there are 4 terms.in this set.
355 ÷ 4 = 88.75
Where is the central tendency located in a skewed left distribution?
to the left of the tallest bar
to the right of the smallest bar
to the left of the smallest bar
in the center of the graph
to the right of the tallest bar
The Central tendency is typically located to the right of the tallest bar.
In a skewed left distribution, the central tendency is typically located to the right of the tallest bar. Skewed left distributions, also known as negatively skewed distributions, are characterized by a tail that extends towards the left side of the distribution.
The central tendency refers to the measure that represents the center or average of a distribution. It provides information about the typical or central value around which the data points tend to cluster. Common measures of central tendency include the mean, median, and mode.
In a skewed left distribution, the mean is usually influenced by the long tail on the left side of the distribution. This tail pulls the mean towards lower values, resulting in a lower mean compared to the median. Therefore, the mean will typically be located to the left of the tallest bar in a skewed left distribution.
On the other hand, the median is less affected by the skewness of the distribution and is relatively robust to extreme values. It represents the value that separates the lower 50% of the data from the upper 50%. In a skewed left distribution, the median will be located closer to the tallest bar or even slightly to the right of it.
The mode, which represents the most frequently occurring value in a distribution, may or may not be influenced by the skewness depending on the shape of the distribution. It can be located anywhere along the distribution, and its position is not necessarily tied to the location of the tallest bar.
To summarize, in a skewed left distribution, the central tendency is typically located to the right of the tallest bar. The median is usually closer to the tallest bar or slightly to the right, while the mean is influenced by the skewness and tends to be located to the left of the tallest bar.
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PS
The diagram shows the dimensions of a coal bunker.
The volume of the bunker is 0.432 m^3
Calculate the length, a, shown on the diagram. Give your answer in centimetres.
Answer:
Step-by-step explanation:
80×= 8×+16
Rachel mows 5 lawns in 8 hours . at this, how many lawns can she mow in 40 hours? PLz put explanation too... or else »-(¯`·.·´¯)->
Answer:
25 lawns
Step-by-step explanation:
To do this:
first create a ratio
5 L: 8 H
? L : 40 H
Then solve:
you can do this two ways
1. cross multiply
40*5=8?
200/8 = 25
2. divide
40/8 = 5
5*5 = 25
Hope this helps:)
what is the answer 3x+15=8x
Answer:
3x +15 = 8x
5x = 15
x = 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Move the Terms:
3x = 8x - 15
3x - 8x = -15
Collcect Terms.
-5x = -15
Divide:
3
Answer
x = 3
Hope this helped
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