Answer:
\(I(-2,0) \to\\ I \ ' \ (-0.5,0)\\\\J(3,2) \to\\ J \ ' \ (0.75,0.5)\\\\K(1,-1) \to\\ K \ ' \ (0.25,-0.25)\\\\\)
==================================================
Explanation:
For each point, multiply each x,y coordinate by 0.25 (the scale factor) to dilate the preimage to the image. This will shrink the image because the positive scale factor is less than 1.
So for instance, point J(3,2) will have this scratch work
3*(0.25) = 0.752*(0.25) = 0.5meaning J(3,2) moves to J ' (0.75, 0.5)
----------
Side notes:
0.25 = 1/40.5 = 2/4 = 1/20.75 = 3/4this trick only works if the center of dilation is the originThe blank is a plot of paired data (x,y) and is helpful in degerming whether there is a relationship between the two variables 
Step-by-step explanation:
Scatter plot is the correct answer
Circle A was dilated with the origin as the center of dilation to creat circle b
Answer: The answer is B.)
Have a great Day/Night!
Find the area of the Trapezoid below please!
Answer:
The area of the trapezoid is 54
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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the formula for the area of a triangle is a=1/2bh. Kevins answer for the area of this triangle is 40 inches2. is kevins solution not correct? why or why not? if not what was his mistake? if not what is the correct soultion for the triangle?
Please answer as soon as possible
In a case whereby formula for the area of a triangle is A=1/2bh. Kevins answer for the area of this triangle is 40 inches2, then Kevins solution is not correct because the correct solution is 20inches.
How can the area be calculated?The concep[t that will be used is the area of triangle, The area of the triangle can be calculated using
A=1/2bh
where A = area
b = base=5
h= height =8
then A=1/2*8*5= 20 inches
Therefore, the correct area of triangle from the fiqure is 20 inches
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find the slope and y-intercept.
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
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please answer!! will give brainliest
Answer:
8
Step-by-step explanation:
Mode is the number that appears the most times.
Answer:
8Step-by-step explanation:
Mode = the most popular value in the data set.
There are
2 sets of 73 sets of 8There is only 1 set of each: 6 and 9The most popular = 8
_________________
#StayPositive - kexcvi
what are m and b in the linear equation y= 5 + 1x
Answer:
m=1
y= 5
Step-by-step explanation:
since y=mx+b
y=1x+5
Answer:
m=1 and b=5
Step-by-step explanation:
y=mx+b = y= b+mx
PLEASE HELP options are in the picture
A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing.
How will you model the simulation for the roll of a die?
Answer: C. Use the numbers 1-3 to represent all the outcomes.
Step-by-step explanation: I got this question correct on Edmentum.
Which statement about the slope of the line is true?
A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C. The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
D. The slope from point O to point A is 2 times the slope of the line from point A to point B.
Answer:
A
Step-by-step explanation:
sorry I don't kwon how to put it in, in explaination
What is the value of x in the system of equations below?
y - X=-3
6y- 4x = 8
26
10
13
-5
3
Answer:
10
Step-by-step explanation:
Is 55.33 equal to 55.033
Is the percent increase from 50 to 70 equal to the percent from 70 to 50explain.
Answer:
20/50=40% So 50 to 70 percent increase is 40%.
20/70=about 28.57% decrease for 70 to 50.
So they aren't the same because the hundred percent are different numbers in this case.
Which statement about function g is true?
g(x)
10
x
1
2 40
3 160
4 640
The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.
What is a slope?The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
How to calculate the slope of a line?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Slope = (40 - 10)/(2 - 1)
Slope = 30/1
Slope = 30
Slope = (160 - 40)/(3 - 2)
Slope = 120/1
Slope = 120.
Factor = 40/10 = 4
Factor = 160/40 = 4
Factor = 640/160 = 4.
Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.
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describe the translation. y = (x-5)squared +5 - y = (x-))squared +0
In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).
The translation from \(y = (x - 5)^2 +5\) to \(y = (x - 0)^2 +0\) is to shift \(y = (x - 5)^2 +5\) to the left by 5 units and then downward by 5 units
The given parameters are:
\(y = (x - 5)^2 +5\)
\(y = (x - 0)^2 +0\)
Assume the first point is: \(y = (x - 5)^2 +5\)
While the second is: \(y = (x - 0)^2 +0\)
The first point is first shifted left by 5 units
The rule to this translation is: \((x,y) \to (x + 5,y)\)
So, we have:
\(y' = (x - 5 + 5)^2 + 5\)
\(y' = (x - 0)^2 + 5\)
Next, the resulting function is shifted down by 5 units.
The rule to this translation is: \((x,y) \to (x,y- 5)\)
So, we have:
\(y" = y' - 5\)
This gives:
\(y" = (x - 0)^2 + 5 - 5\)
\(y" = (x - 0)^2 + 0\)
Hence, the translation from \(y = (x - 5)^2 +5\) to \(y = (x - 0)^2 +0\) is to shift \(y = (x - 5)^2 +5\) to the left by 5 units and then downward by 5 units
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write log2 1/16=-4 in exponential form
Therefore , the solution of the given problem of expressions comes out to be the exponent is -4 and the base is 2, meaning that 2 raised to the power of -4 = 1/16.
What exactly is an expression?Estimates should not be produced at random but rather by increasing, decreasing variable, and stopping moving numbers. They could only be able to assist one another by transferring equation, resources, or answers to problems. In addition to numerical computations as addition, negation, synthesis, and combination, a statement of truth may also contain formulas, components, and notations.
Here,
In exponential form,
=> log2 1/16 = -4 is represented as:
=> 2⁻⁴ = 1/16
In this case, the exponent is -4 and the base is 2, meaning that "2 raised to the power of -4 = 1/16."
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Derek is skiing on a circular ski trail that has a radius of 0.6 km. Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a. How many radians does Brian sweep out?
b. When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
c. When Brian stops skiing, how many km is Brian above of the center of the ski trail?
Answer:
a) Brain sweep out 4 radians
b) Brian is -0.3922 km to the right of the center of the ski trail
c) Brian is -0.4541 km above of the center of the ski trail
Step-by-step explanation:
Given the data in the question;
circular ski trail radius = 0.6 km
Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a) How many radians does Brian sweep out?
arc length = 2.4 km
from the diagram;
arc length = rθ
θ = arc length / r
θ = 2.4 / 0.6
θ = 4 radians
Therefore, Brain sweep out 4 radians
b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
from the diagram;
x = rcosθ
we substitute
x = 0.6 × cos(4)
x = 0.6 × -0.65364
x = -0.3922 km
Therefore Brian is -0.3922 km to the right of the center of the ski trail
c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?
from the diagram;
m = rsinθ
m = 0.6 × -0.7568
m = -0.4541 km
Therefore, Brian is -0.4541 km above of the center of the ski trail
solve the given equation state the number and type of roots x^2-5x-36=0
We can solve this quadratic equation using factorisation method as follows
:x2−5x−36=0
x2+4x−9x−36=0
x(x+4)−9(x+4)=0
(x+4)×(x−9)=0
x+4=0orx−9=0
x=−4orx=9
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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Im stuck someone help i will give brainliest
Answer:
x=9/13
Step-by-step explanation:
9/13x26= 18
18/3=6
8. What is the solution to the system?
{ x + y + z = 3
2x-y + 2z = 6
3x + 2y - Z=13
Answer:
x,y, and z is 4,0, -1
Graph the polygon with the given vertices and its image after a reflection in the line y = x.
A(6, - 3), B(1, - 2), C(4, 1)
The image of the polygon after a reflection in the line y=x is having vertices at A'(-3, 6), B'(-2, 1) and C'(1, 4) as shown in the diagram attached.
What is a reflection?A reflection is a sort of transformation that creates a new shape by flipping a shape, called the preimage, across a line, called the line of reflection (called the image). You may imagine what would occur if the form were turned over the line to graph a reflection.
A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image).
You can picture what would happen if you flipped the form over the line in order to graph a reflection.
If a point A(x, y) is reflected about the line y = x,
the new point would be at A'(y, x)
Given the polygon with vertices at A(6, -3), B(1, -2) and C(4, 1).
The image of the polygon after a reflection in the line y=x has vertices at:
A'(-3, 6), B'(-2, 1) and C'(1, 4)
The image of the polygon is attached.
Therefore, according to the attached graphic, the vertices of the polygon's image after a reflection in the line y=x are located at A'(-3, 6), B'(-2, 1), and C'(1, 4).
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PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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I need help!!!!!!!!!
Answer:
its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2
Answer:
When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.
Multiply b^2 * b^3 = b^5 (add the exponent 2 + 3 = 5)
Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)
Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)
b^2 * b*2 = b^4 (add exponents)
7b * b^2 = 7b^3 (add the exponents 1 + 2)
4 * b^2 = 4b^2
b^2 + 7b + 4
b^3 b^5 + 7b^4 + 4b^3
+
b^2 b^4 + 7b^3 + 4b^2
b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2
\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)
b^5 + 8b^4 + 11b^3 + 4b^21 10 points
The rule for dilation of a quadrilaterial is Do.0.08 (z,y) (0.08z, 0.08y). What is the Y coordinate of a new point if the new coordinate is (3-9)? Round to the nearest
hundredth if necessary.
Type your answer.....
2
10 points
Answer:
Step-by-step explanation:
The rule for dilation of a quadrilaterial is Do.0.08 (z,y) (0.08z, 0.08y). What is the Y coordinate of a new point if the new coordinate is (3-9)? Round to the nearest
hundredth if necessary
I think the answer should be 1/x but I don’t understand how they want me to put it in.
(15 points)
Answer:
See explanation below (type a 1 (one) in each box)
Step-by-step explanation:
Notice that by using the exponent notation and properties, the given exponents can be re-written and simplified as shown below:
\(\frac{(x^{20})^\frac{1}{10} }{\sqrt{x^6} } =\frac{x^2}{x^\frac{6}{2}} =\frac{x^2}{x^3} =\frac{1}{x}\)
As you seem to have found. Well done!
What you are expected to do, is to type the coefficient that goes in the numerator (in your case a "1", and in the box below, the exponent that x has in the denominator (in your case also a "1").
So please complete the question as shown below typing a "1" in each box:
\(\frac{1}{x^1}\)
Evaluate without a calculator. If a real answer does not
a)
\(\log_3(27)=\log_3(3^3)=3\)Answer: 3
b)
\(\log_3(9)=\log_3(3^2)=2\)Answer: 2
c)
\(\log_5(1)=0\)Answer: 0
d)
\(\log_5(\frac{1}{25})=\log_5(5^{-2})=-2\)Answer: -2
A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout
StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout
StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 11 x + 5 y = 2 EndLayout
StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 11 x + 5 y = 2 EndLayout
Using a linear function and a quadratic function, the system of equations that can be used to model this situation is:
y = 2(x - 4)² + 2.5x + 11y = 62.What is the quadratic equation?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (4,2), hence h = 4, k = 2 and the equation is:
y = a(x - 4)² + 2.
It passes through the point (5, 4), hence when x = 5, y = 4, which we use to find a.
4 = a + 2.
a = 2.
Thus the equation is:
y = 2(x - 4)² + 2.
What is the linear equation?The linear equation is given 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.The road connects points (–3, 7) and (8, 2), hence the slope is given by:
m = (2 - 7)/(8 - (-3)) = -5/11.
Then:
y = -5/11x + b.
When x = 8, y = 2, hence we use it to find b as follows:
2 = -40/11 + b
b = 62/11.
Then the equation is:
y = -5/11x + 62/11.
Multiplying by 11:
11y = -5x + 62.
5x + 11y = 62.
The system of equations is:
y = 2(x - 4)² + 2.5x + 11y = 62.More can be learned about a system of equations at https://brainly.com/question/24342899
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Answer:
StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout
Step-by-step explanation:
The answer above is correct.
37=|y+22l please help me this one is hard
Answer:
y= 15 and y= -59
Step-by-step explanation:
Given
37 = |y+22|
We have 2 possibilities
-what is inside the absolute value is positive
37 = y+22
-what is inside the absolute value is negative
37 = -(y+22), distribute the negative sign in parenthesis
37 = -y -22
Solve the 2 possibilities to find y:
-when what is inside the absolute value is positive
37 = y+22, subtract 22 from both sides of the equation
37-22 = y +22-22, combine like terms
15 =y
-when what is inside the absolute value is negative
37 = -y -22, add 22 to both sides
37+22 = -y -22+22, combine like terms
59 = -y, multiply both sides by -1
-59 =y
Solution:
y=15 and y=-59
5+5 you get 39 points
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Use a calculator to find this or simply use your figers and count 5 more starting from 5.