This is Geometric progression G P
[tex]\begin{gathered} \\ 2^1=2 \\ 2^2=4 \\ 2^3=8 \\ 2^4=16 \\ 2^5=32 \\ 2^6=64 \\ 2^7=128 \\ 2^8=256 \end{gathered}[/tex]The next three terms are;
64,128,256
at the annual dog show, chantel noticed that there were three more scotties than schnauzers. she also realized that the number of wirehaired terriers was five less than twice the number of schnauzers. if there were dogs in all (counting schnauzers, scotties, and wirehaired terriers), how many schnauzers were there? write and solve an equation.
The no. of schnauzers in the annual dog show are 20.
Assume that there are x Schnauzers at the annual dog show.
Scotties entered in the yearly dog show: x + 3
There are 2x - 5 Wirehaired Terriers entered in the annual dog show.
There are 78 dogs in all competing in the yearly dog show.
Consequently, the equation becomes
x + x + 3 + 2x - 5 = 78.
4x - 2 = 78
4x = 78 + 2
4x = 80
x = 80/4
= 20
In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.
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Select the correct answer.
Find the inverse of function f.
f (x) = 9x + 7
A. f^{\small -1}(x)\ =\ 7x\ +\ 9
B. f^{\small -1}(x)\ =\ -9x\ -\ 7
C. f^{\small -1}(x)\ =\ \frac{1}{9}x\ -\ \frac{7}{9}
D. f^{\small -1}(x)\ =\ \frac{7}{9}x\ -\ \frac{1}{9}
Answer:
[tex]\dfrac{x-7}{9}[/tex]
which corresponds to choice
C : [tex]f^{\small -1}(x)\ =\ \frac{1}{9}x\ -\ \frac{7}{9}[/tex]
Step-by-step explanation:
The inverse of a function y = f(x) can be found by interchanging x and y and solving for y
Let y = f(x)
y = 9x + 7
Interchange x and y:
x = 9y + 7
9y + 7 = x (switch sides)
subtract 7 both sides
→ 9y + 7 - 7 = x - 9
→ 9y = x - 9
Divide both sides by 9
→ [tex]y = \dfrac{x - 7}{9} = \dfrac{x}{9} - \dfrac{7}{9}[/tex]
which corresponds to choice C
(No need to graph unless want to)Determine the period and asymptotes please grade 12 trig
SOLUTION:
The parent function is;
[tex]f(x)=sec(x)[/tex]The transformation applied is;
[tex]y=-2f(\frac{1}{4}x-\pi)+2[/tex]Graphing this, we have;
The period is the time to complete a cycle .
From the graph, the period is;
[tex]8\pi[/tex]The asymptotes are those lines for which sec x is undefined. those are lines where;
[tex][/tex]Donna bought 5 bags of dog treats for $12.50. What is the cost per bag of dog treats?
I really need help on this please guys
Answer:
2.5
Step-by-step explanation:
$12.50 ÷ 5 bags = $2.5 per bag
Answer:
2.50
Expination:
devide 12.50 by the total amount of dog food purchased (5 bags)
12.50/5 = 2.50
the price per bag is $2.50
t - 2 < 21 solve the inequality for t simplify your answer as much as possible
Answer:
t < 23
Step-by-step explanation:
t - 2 < 21
Step 1 : Add 2 on both sides.
t - 2 + 2 < 21 + 2
t < 23
1+2 |x-1| less than or equal to 9
SOLUTION
The question is
[tex]1+2|x-1|\leq9[/tex]Now let's solve. This becomes
[tex]\begin{gathered} 1+2|x-1|\leq9 \\ 2|x-1|\leq9-1 \\ 2|x-1|\leq8 \\ \\ \text{dividing both sides by x we have} \\ \\ |x-1|\leq4 \end{gathered}[/tex]This becomes
[tex]\begin{gathered} x-1\leq4 \\ or \\ x-1\ge4 \end{gathered}[/tex]So we have our x as
[tex]undefined[/tex]What are the vertex and range of y = |x 2| − 3? (−2, −3); −[infinity] < y < [infinity] (−2, −3); −3 ≤ y < [infinity] (0, −1); −[infinity] < y < [infinity] (0, −1); −3 ≤ y < [infinity]
(x,y) = (1,14).
A parabola's vertex is the location where its symmetry line and parabola intersect. The range of values that we are permitted to enter into our function is known as the domain of a function.
What is the definition of vertex form?A different way to express the equation of a parabola is in its vertex form. A quadratic equation is typically represented as an x 2 + b x + c, which, when graphed, results in a parabola.Locate a parabola's vertex,Finding a parabola's vertex Standard FormComparing the parabola's equation to the formula y = ax2 + bx + c in standard form is the first step.Step 2: Apply the formula h = -b/2a to find the vertex's x-coordinate.Step 3: Substitute x = h in the calculation ax2+ bx + c to obtain the vertex's y-coordinate (k). The range of values that we are permitted to enter into our function is known as the domain of a function.To learn more about Parabola Vertex refer to:
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A way to write a fraction as an equivalent fraction that contains no common factors is _________ form.
Answer:
simplest form.
Step-by-step explanation:
vehicle speed on a particular bridge in china can be modeled as normally distributed. (a) if 5% of all vehicles travel less than 39.18 m/h and 10% travel more than 73.27 m/h, what are the mean and standard deviation of vehicle speed? (round your answers to three decimal places.) mean standard deviation
The mean and standard deviation of the vehicle speed are 58.33 and 11.64 respectively.
The vehicle speed on a particular bridge in china has normal distribution.
5% represents the 5th percentile which is here, 39.18 m/h.
Since 10% travels more than 73.27 m/h, 90% travels less than 73.27 m/h.
So here the 90th percentile is 73.27 m/h.
Also the z-score, z = (x-μ)/σ, where μ is the mean of normal distribution and σ, the standard deviation.
So 39.18 corresponds to the z with p-value 0.05, i.e., z = -1.645 [from the normal tables]
Hence, z = (x-μ)/σ
⇒ -1.645 = (39.18 - μ)/σ
⇒ -1.645σ = 39.18 - μ
⇒ μ = 39.18 + 1.645σ ----------(1)
Also 73.27 corresponds to the z with p-value 0.9,i.e., z = 1.28.
Hence , z = (x-μ)/σ
⇒ 1.28 = (73.27 - μ)/σ
⇒ 1.28σ = 73.27 - μ
⇒ μ = 73.27 - 1.28σ ----------(2)
Equating (1) and (2), we get,
39.18 + 1.645σ = 73.27 - 1.28σ
2.925σ = 34.05
σ = 11.64
hence μ = 39.18 +1.645 x 11.64
⇒ μ = 58.33
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A shipment of 8 computers contains 4 with defects. Find the probability that a sample of size 1, drawn from the 8, will not contain a defective computer,What is the probability that a sample of 1 of the 8 computers will not contain a defective computer?(Type an integer or a simplified fraction)Help Me Solve ThisView an ExampleGet More HelpClear All
Answer:
1/2
Explanation:
If you take a sample of 1 drawn from the 8, you will have 8 possible options and 4 of them didn't contain defects. So, the probability can be calculated as:
[tex]\frac{4}{8}=\frac{1}{2}[/tex]Therefore, the answer is 1/2
The probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.
What is the probability?The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.
Given a shipment of 8 computers contain 4 with defects.
That means 8 -4 = 4 computers have no defect.
To find the probability;
we have 8 possible computers and 4 computers have no defect.
The probability;
= 4 /8
= 1/2
= 0.5
Therefore, the probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.
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I need help with my Pre-Calculus homework, the image of the problem is attached!
Answer:
Question 4
Answer: Alternative C - 0
Step-by-step explanation:
Since x→∞, we can substitute the values of x for values as 10, 100, 1000 and see the tendency of the function when the values are getting higher (closer to ∞):
For x = 10
f(10) = 0.5*10^(-3/4)
f(10) = 0.089
For x = 100
f(10) = 0.5*100^(-3/4)
f(10) = 0.016
For x = 1000
f(10) = 0.5*1000^(-3/4)
f(10) = 0.003
As we can see, when the x-values are getting closer to infinite, the y-values tends to zero. Thus, alternative C is correct.
Evaluate the inverse when y=4. Show all of your work.
The inverse of the function y = 4ˣ is f⁻¹(x) = ㏑x / ㏑4.
What is termed as the inverse of the function?An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function "f" takes x to y, then its inverse will take y to x. The inverse function is signified by f-1 or F-1 if the function is signified by 'f' or 'F'. Here, (-1) should not be confused with exponent or reciprocal.For the given question;
The function is given as;
y=4ˣ
Interchange the variables of the function.
x = 4∧y
Taking log both side.
㏑ x = ㏑(4∧y)
Using the power rule of log function.
㏑ x = y㏑(4)
y = ㏑ x/㏑(4)
Now, replace y with f⁻¹(x).
f⁻¹(x) = ㏑ x/㏑(4)
Thus, the inverse of the function y = 4ˣ is found to be f⁻¹(x) = ㏑x / ㏑4.
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The correct question is-
Evaluate the inverse when y=4ˣ. Show all of your work.
A bacterial colony starts with 120 cells and quadruples in size each day. Write an equation that relates the population of cells in this colony (P) at the start of each day and the number of days (d). Find the population on day 8.
Answer:
P = 120*([tex]2^{2d-2}[/tex])P(8) = 1, 966, 080Step-by-step explanation:
Since the population quadruples each day, the population for the subsequent day would be 4*(population of the previous day).
Thus, the evolution of the population value takes the form of a geometric progression, with a common ratio, r = 4
The n-th term of a geometric progression is given by:
[tex]a_{n}[/tex] = [tex]ar^{n-1}[/tex] (1)
Where a is the 1st term of the progression.
From (1), our population would generally take the form:
[tex]P_{d}[/tex] = [tex]P_0r^{d-1}[/tex] (2)
In this case, the initial value (1st term) [tex]P_{0}[/tex] = 120.
So putting r and [tex]P_{0}[/tex] into (2):
P(d) = 120*([tex]4^{d-1}[/tex])
Noting that 4 = 2²:
P(d) = 120*([tex]2^{2(d-1)}[/tex])
P(d) = 120*([tex]2^{2d-2}[/tex])FOR d = 8:
P(d) = 120*([tex]2^{2d-2}[/tex])
becomes:
P(8) = 120*([tex]2^{2(8)-2}[/tex])
P(8) = 120*([tex]2^{16-2}[/tex])
P(8) = 120*([tex]2^{14}[/tex])
P(8) = 120*(16,384)
P(8) = 1, 966, 080What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
1/4
Step-by-step explanation:
The points (-4, 5) and (0, 6) lie on the line. Substituting into the slope formula,
[tex]\frac{6-5}{0-(-4)}=\frac{1}{4}[/tex]
A 46 gram sample of a substance that's a by product of fireworks has a k-value of 0.1394. Find the substance's half-life in days. Round your answer to the nearest tenth.
N=N0e^-kt
The half life obtained to the nearest tenth is 5.0 days.
What is the half life?The half life is the time taken for only half of the initial amount of the radioactive substance to remain. We know that we have to use the formula;
N=N0e^-kt
N = amount present at time t
No = Amount initially present
k = The constant
t = The half life
We now have that;
HALF LIFE = O.693/k
We have to recall that the term k is the decay constant for the process as shown.
Half life = O.693/0.1394
Half life = 5.0 days
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URGENT HELP!!
Approximate the correlation of the data shown below?
The approximate correlation of the data shown on the diagram above is: C. -0.5.
The question says we should approximate the correlation using the given scatter plot. Below shows a detailed explanation on how to do a rough estimation of the possible value of the correlation.
What is the Approximate Correlation of a Data?
Correlation Coefficient, r, is a numerical value of -1 to 1, which tells how strongly related two variables are. If the points on a scatter plot form a trendline that slopes upwards, it is a positive correlation. If it slopes downwards, it is a negative correlation.
The magnitude of the correlation coefficient is dependent on how father apart the points are from each other along a trend line. If they are much farther apart from each other, the correlation coefficient would far from 1 and -1, and close to zero. If they are closer, it would be close to 1 or -1, and far from 0.
The scatter plot shows the data points are moderately spaced from each other and the trendline slopes downwards. Therefore, the best estimate for the correlation is: C. -0.5.
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Someone please help with this math problem?
Both equations' solutions are found at the point (-2, 2). When point (-1,4), the 2x-y=-6 yields the correct point. The second equation is as a result. The point (2, 14) is the answer to the first equation because it provides the answer to the first equation but not the second.
What is equation?The word equation and its cognates in other languages may have slightly different meanings; for example, in French an equation is defined as containing one or more variables, while in English any well-formed formula consisting of two expressions related with an equals sign is an equation. An equation is a formula that expresses the equality of two expressions by connecting them with the equals sign =. Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.
3x-y=-8
2x-y=-6
given points are (-1,4), (2,14), (-2,2)
On solving the equation,
3x-y=-8
-(2x-y=-6)
x=-2
y=2
The point (-2,2) is the solution to both equations.
The point (-1,4) on putting in the 3x-y=-8 will not give solution but when put in the 2x-y=-6, it gives the result. so it the solution to second equation.
The point (2,14) is the solution to the first equation as it gives the answer to first but not to the second equation.
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Simple Interest QuizIf $3,000 is loaned for 48 months at a 4.5% annual rate, how much is the ending balance?
Given:
Principal (p) =$3,000
Time (T) = 48 months = 4 years
Interest rate = 4.5%
Required :
Ending balance = ?
The simple interest :
[tex]\begin{gathered} SI\text{ = PRT} \\ =\text{ 3000 }\times\text{ 0.045 }\times\text{ 4} \\ =\text{ \$ 540} \end{gathered}[/tex]Ending balance :
[tex]\begin{gathered} \text{Ending balance = Principal + SI} \\ =\text{ \$ 3000 + \$ 540} \\ =\text{ \$ 3540} \end{gathered}[/tex]Ending balance = $ 3540
Write the recurring decimal 0.45....... as a fraction.
Given the following question:
We are given the repeating decimal of 0.45
We will use the formula:
[tex]\begin{gathered} \frac{(d\times10^r)-n}{10^r-1} \\ \frac{0.45\times10^2)-0}{10^2-1} \\ \text{ Simplify} \\ \frac{0.45\times2\cdot10^2}{10^2-1}=\frac{45}{99} \\ \text{ Simplify once more} \\ \frac{45}{99}\div9=\frac{5}{11} \\ =\frac{5}{11} \end{gathered}[/tex]Valeria created a triangular pyramid as part of her science fair project. The triangular base has a height of 8 cm and a length of 6 cm. The height of the pyramid is 12 cm. Determine the volume of Valeria's pyramid.A. 192 cm B. 288 cmC. 96 cmD. 576 cm
Given:
Height of triangular base = 8 cm
Length of traingular base = 6cm
Height of pyramid = 12 cm
Let's determine the volume of Valeria's pyramid.
To find the volume of the triangular pyramid, apply the formula:
[tex]V=\frac{1}{3}(A\ast h)[/tex]Where A is the area of the triangular base and h is the height of the pyramid
To find the area of the triangular base, apply the area of a triangle formula:
[tex]\begin{gathered} A=\frac{b\ast h}{2} \\ \\ A=\frac{6\ast8^{}}{2}=\frac{48}{2}=24cm^2 \end{gathered}[/tex]To find the volume of the pyramid, substitute 24 for A and 12 for h in the formula above.
Thus, we have:
[tex]\begin{gathered} V=\frac{1}{3}(A\ast h) \\ \\ V=\frac{1}{3}(24\ast12) \end{gathered}[/tex]Solving further:
[tex]\begin{gathered} V=\frac{1}{3}(288) \\ \\ V=\frac{288}{3} \\ \\ \text{ V = 96 cm}^3 \end{gathered}[/tex]Therefore, the volume of Valeria's pyramid is 96 cubic centimeters.
ANSWER:
[tex]\text{ C. 96 cm}^3[/tex]Tell which of the following is a linear equation in one variable:
a) x² - 4x + 3 = 0
b) 6x - 2y = 7
c) 3x - 1 = -2x
d) pq - 3 = p
e) 3x + 2 = 4 ( x +7 ) + 9
For 100 Points
Answer:
c and e
Step-by-step explanation:
(a)
x² - 4x + 3 = 0 ← is a quadratic and not linear
(b)
6x - 2y = 7 ← is a linear equation in 2 variables, x and y
(c)
3x - 1 = - 2x ( add 2x to both sides )
5x - 1 = 0 ← is a linear equation in 1 variable
(d)
pq - 3 = p ← is a linear equation in 2 variables , p and q
(e)
3x + 2 = 4(x + 7) + 9 ← is a linear equation in 1 variable
Kayla is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 28.15 meters. She stands 23.1 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter. -28.15 m (Diagram is not to scale.) T 1.85 m 23.1 m-
The height of the tree is approximately 2.11 meters if Kayla is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 28.15 meters.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
Kayla is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 28.15 meters.
D = 39.75 m
d = 34.9 m
H:h = D:d
H/1.85 = 39.75/34.9
H = 2.11 m
Thus, the height of the tree is approximately 2.11 meters if Kayla is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 28.15 meters.
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Amy has a piece of wood that measures 42 inches. The model shows the length remaining after she cut a piece from the 42-inch piece of wood. About how many inches did Amy cut from the 42-inch piece of wood? 2 3 4 5 6 7 8 10 12 inches
Given data
Ammy has a piece of wood that measures 42 inches
Ammy cut from the 42-inch piece of wood is calculated as
[tex]42-9=33\text{ inches}[/tex]Thus, Amy cut from the 42-inch piece of wood is 33 inches
1. Priya's favorite kind of dark chocolate comes in a package shaped like a triangular. If the package can hold 144 cm of chocolate and the triangular faces have a base of 3 cm and a height of 4 cm, how tall is the entire package?
ok
Measures base = 3cm
height = 4cm
tall = x
volume = 144 cm^3
Volume = Area of the base * tall
Area of the base = (3 * 4) / 2 = 12/2 = 6 cm^2
144 = 6*x
x = 144/6
x = 24 cm
Result: The chocolate is 24 cm tall.
Which list shows the absolute values in order from greatest to least select each correct answer.
A: | 11 7/10 |, | 11 3/5 |, | 10 3/10 |
B: | -3 1/3 |, | -3 2/3 |, | 2 2/3 |
C: | -1 5/6 |, | 1 7/12 |, | 1 5/12 |
D: | -6 5/7 |, | -6 3/7 |, | 5 2/7 |
Please help I will give 100!
Step-by-step explanation:
A./11.7/,/22.6/,10.3/
11.7<22.6>10.3
B./-10.3/,/-10.7/,/7.3/
10.3<10.7>7.3
C./-2.5/,/1.42/,/1.25/
2.5>1.42>1.25
D./-9.3/,/-9/,/7.43/
9.3>9>7.43
therefore the answer is C and D
36. THOUGHT PROVOKING
Describe a function in which the inputs and/or the
outputs are not numbers. Identify the independent
and dependent variables. Then find the domain and
range of the function.
Answer:
A function is a relation where each input value is assigned to only one output value. The domain of a function is the set of all input values, or x-values, for which the function is defined. The range of a function is the set of all output values, or y-values, for which the function is defined. To write the equation y = ax + b in function notation, substitute f(x) for y.
Step-by-step explanation:
Brainlest, Please!
a lecture hall at nc state has 220 seats with fold-down writing pedestals, 25 of which are designed for left-handers. an intro. to economics class with 215 students meets in this lecture hall. assume that 13% of the general population is left-handed. question 1. what is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander? (use 4 decimal places.) question 2. what is the probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander? (use 3 decimal places.)
1) There exists a 3.82% probability that at least one right-handed student in this class is forced to utilize a seat designed for a left-hander.
2) There exists a 68.35% probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander.
What is meant by Binomial probability distribution?The binomial probability exists the probability of exactly x successes on n repeated trials, and X can only contain two outcomes.
[tex]$P(X=x)=C_{n, x} \cdot \pi^x .(1-\pi)^{n-x}$$[/tex]
In which [tex]$C_{n, x}$[/tex] exists the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]$C_{n, x}=\frac{n !}{x !(n-x) !}[/tex]
And π exists the probability of X happening.
Given: 13 % of the students are left-handed and 100 - 13 = 87 % are right handed.
There are 220 sets. Of them, 25 exists designed for left handers and 220-25 = 195 for right handers.
There are 215 students, so n = 215.
In this case, a success is a student being right-handed. So [tex]$\pi=0.87$[/tex].
There are 195 seats for right handed students. If there are 196 or more right handed students, they will have to use a seat designed for a left hander. We have to find [tex]$P(X \geq 196)$[/tex]. Utilizing a binomial probability calculator, we find that [tex]$P(X \geq 196)=0.0382$[/tex]
So, there is a 3.82 % probability that at least one right-handed student in this class exists forced to utilize a seat designed for a left-hander.
There are 25 seats for left-handed students. If there exists 26 , or more, at least one exists going to be forced to utilize a seat designed for a right-hander.
In this case, a success is a student being left-handed. So [tex]$\pi=0.13$[/tex].
We have to find [tex]$P(X \geq 26)$[/tex].
Using a binomial probability calculator, we have that [tex]$P(X \geq 26)=0.6835$[/tex]
There exists a 68.35 % probability that at least one left-handed student in this class is forced to utilize a seat designed for a right-hander.
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Finding Slope
Help mee
Answer: The slope is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
[tex]Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{-8-(-6)}{-2-1} =\frac{-2}{-3} =\frac{2}{3}[/tex]
What is the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3? Responses y−1=3(x+2) y plus 1 equals 3 open parenthesis x minus 2 close parenthesis y−2=3(x+1) y minus 2 equals 3 open parenthesis x plus 1 close parenthesis y+1=3(x−2) y plus 1 equals 3 open parenthesis x minus 2 close parenthesis y+2=3(x−1)
The equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5
We need to find the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3
The point slope form of a equation of a line is
y - y₁ = m(x - x₁)
y - (-2) = 3 (x - 1)
y + 2 = 3x - 3
y = 3x - 3 - 2
y = 3x - 5
Therefore the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5.
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What is the image of ( − 8 , − 4 ) after a dilation by a scale factor of 1 4 4 1 centered at the origin?
The image of the point after the dilation is (-2, -1)
What is dilation?Dilation is the process of altering the side length of a shape or a function
How to determine the image of the points?From the question, the given parameters are:
Point = (-8, -4)
The scale factor of dilation is given as
Scale factor = 1/4
Mathematically, this transformation can be represented as
(x, y) = k(x, y)
Where k = 1/4 i.e. the scale factor
So, we have
(x, y) = (kx, ky)
This gives
(x, y) = (1/4x, 1/4y)
When represented as an equation, we have
Image = 1/4 * Point
Substitute the equation Point = (-8, -4) in the equation Image = 1/4 * Point
So, we have the following equation
Image = 1/4 * (-8, -4)
Evaluate the product
Image = (-2, -1)
Hence, the image is (-2, -1)
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