Answers
For the first representation, the equation is : y = 3x-5.
For the second representation, the equation is : y = -12x+2.
For the third representation, the equation is : y = 5/4x-5.
For the fourth representation, the equation is: y = -6x+3.
Analyze the representations given in the question, in order to find its corresponding equation.
According to the question,
For the first representation, y=1 when x=2, y=-2 when x=1 and y=4 when x=3. On substituting these values of x and y in the given equations, we get that y = 3x-5.
Similarly, for the second representation, we get, y = -12x+2.
For the third representation, we get, y = 5/4x-5.
For the fourth representation, we get, y = -6x+3.
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Related Questions
3x 2y = 4 2x - y = 5 this system of equations has no solution. has one solution. is coincident.
Answers
Answer:
no solution
Step-by-step explanation: because if it has no variables that are the same it has no solution.
808, 408, 208,108, 68 find out wrong number.
Answers
68 is the wrong number in the sequence 808, 408, 208,108, 68
What is Number system?A number system is defined as a system of writing to express numbers.
Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given sequence is 808, 408, 208,108, 68
Eight hundred eight, Four hundred and eight, two hundred and eight, one hundred eight and sixty eight.
808, 408, 208,108, 68
Let us find the difference between the consecutive numbers
400, 200, 100, 40
As we observe the first three terms having the common ratio where as 40 and 100 has different ratio.
Hence, 68 is the wrong number in the sequence 808, 408, 208,108, 68
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Mya has ballet lessons every sixth day and swimming lessons every fourth day. Today she has both lessons. In how many days will Mya have both lessons on the same day again?
Answers
Mya would have both lessons on the same day again on the 12th day.
In how many days would they have the classes on the same day again?In order to determine when they would have the both lessons on the same day, the common multiple of 6 and 4 has to be determined. A multiple of a number is the product of an integer and that number. A common multiple is the multiple that is common to two or more numbers.
Multiple of 6 = 6, 12, 28, 24, 30, 36,
Multiple of 4 = 4, 8, 12, 16, 20, 24, 28
Common multiple = 12
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graph: g(x)=5cos((\pi )/(2)x-(3\pi )/(2))-2
Answers
[tex]g(x)=5cos((\pi )/(2)x-(3\pi )/(2))-2[/tex]
generate by: Amplitude:5 Period:4
Phase shift:(3 to the right) Vertical shift:-2
x=3,g(x)= 3
x=4,g(x)= -2
x=5,g(x)= -5
x=6,g(x)= -2
x=7,g(x)= 3
the graph is like cos(x)
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In the right triangular prism below, BG Perpendicular FC
A right triangular prism is shown. Triangles A E D and B F G are the base triangles. A perpendicular bisector is drawn from point B to point G on side F C.
The volume of the prism is 900 cubic centimeters. The height of the prism is 15 centimeters and the height of the triangular base is 10 centimeters. What is the length of edge FC?
cm
Answers
The length of edge FC in the triangular prism is: 12 cm.
What is the Volume of a Right Triangular Prism?Volume of a right triangular prism = 1/2(Length of triangular base × height of triangular base × height of the prism).
Considering the image given showing a right triangular prism, we have the following:
Volume of triangular prism = 900 cubic centimeters
Length of triangular base = FC = ?
Height of triangular base = 10 centimeters
Height of the prism = 15 centimeters
Plugin the values
900 = 1/2(FC × 10 × 15)
900 = 1/2(FC × 150)
Multiply both sides by 2
2(900) = 2(1/2(FC × 150))
1,800 = FC × 150
Divide both sides by 150
1,800/150 = FC × 150/150
12 = FC
FC = 12 cm
The length of edge FC is: 12 cm.
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Answer: 12
Step-by-step explanation:
Explain the conceptual and quantitative relationships between alpha risk and beta risk when testing hypotheses, and include the impact sample size plays in managing these risk levels
Answers
The conceptual and quantative relationship between Alpha risk and Beta risk is related to the probability of accepting Null hypothesis. They are also known as Type 1 and type 2 error.
Alpha Risk:
Alpha risk is the risk that in statistical test a null hypothesis will be rejected when it is actually true. This is also known as a type I error, or a false positive. The term risk refers to chance or likelihood of making an incorrect decission.
Beta risk:
Beta risk represents the probability that a false hypothesis in a statistical test is accepted as true. Beta risk contrast with alpha risk, which measures the probability that a null hypothesis is rejected when it is actually true.
Determining the type of risk in a quantitative relationship is primarily based on sample size. The Sample Size directly affect the Alpha and Beta risk. If Sample size is larger, the Alpha and Beta risk will lower, and if the sample size is lower the risk of Beta and Alpha increases.
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A sequence is defined by the recursive function f(n 1) = one-halff(n). if f(3) = 9 , what is f(1) ?
Answers
[tex]f(1)[/tex] is [tex]81.[/tex]
What is a recursive function?A recursive function generates a series of phrases by repeating or using its own prior term as input.Problems that can be split down into smaller, repeating problems are ideal for recursion to solve. It is particularly useful when working on issues with numerous potential solutions that are too complex to handle iteratively. Searching a file system is an effective illustration of this.A recursive formula is one that defines each term in a sequence by reference to the one before it.To find f(1):
f(n 1) = one-half(n).
f(3) = 9.
[tex]f(3) = 9If n = 1,f(2) = 9×3f(2) = 27If n = 0,f(1) = 27 ×3f(1) = 81[/tex]
A sequence is defined by the recursive function [tex]f(1)[/tex] is [tex]81.[/tex]
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Answer:
36
Step-by-step explanation:
Assuming I understand the question correctly
[tex]\text{one-halff(n)} = \frac{1}{2} f(n)[/tex]
We have the recursive relationship
[tex]f(n+1) = \frac{1}{2} f(n)[/tex]
[tex]f(3) = 9[/tex]
[tex]f(3) = \frac{1}{2} f(2)[/tex]
[tex]f(2) = \frac{1}{2} f(1)[/tex]
So
[tex]f(3) = \frac{1}{2} (\frac{1}{2} f(1) = \frac{1}{4} f(1) \\[/tex]
So [tex]f(1) = 4f(3) = 4(9) = 36[/tex]
Verifying
If f(1) = 36 then f(2) = (1/2)f(1) = (1/2)36 = 18
f(3) = (1/2) f(2) = (1/2)(18) = 9
2 plus 0.5x if x is equal to 5
Answers
Answer: 4.5
Step-by-step explanation:
2 + 0.5x
x = 5
2 + 0.5 ( 5 )
2 + 2.5
2 + 2.5 = 4.5
Hope this helps!
Which of the following is equivalent to the quotient below?
√135/√3
A. 5√3
B. √45/3
C. 3√5
D. 3√15
Answers
The answer is C. 3√5.
√135/√3√45√3² × 53√5
Need help look at attachment
Answers
In order for the two lines to be parallel, the two labeled angles must be congruent. If we set the two expressions equal to each other and solve for x, we can find the value of x that makes both angles the same and therefore the two lines parallel.
8x = 2x + 60
6x = 60
x = 10
In a school of 910 pupils, 3/7 are boys and 2/5 of the boys wear glasses. how many boys wear glasses?
Answers
The number of boys wear glasses are 156 boys.
In this question,
Total number of pupils in the school = 910
Ratio of boys = 3/7
Then, number of boys = 910 × 3/7
⇒ 130 × 3
⇒ 390
Ratio of boys wear glasses = 2/5
Then, number of boys wear glasses = 390 × 2/5
⇒ 78 × 2
⇒ 156
Hence we can conclude that the number of boys wear glasses are 156 boys.
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If a polynomial function, f(x), with rational coefficients has roots 3 and startroot 7 endroot, what must also be a root of f(x)?
Answers
The conjugate which is 3 - √7 is also a root of f(x).
What is the root of a polynomial function?The root of a polynomial function f(x) is the value of x for which f(x) = 0.
Now if a polynomial function has a root x = a + √b then the conjugate of x which is x' = a - √b is also a root of the function, f(x).
What must also be a root of f(x)?
Given that the polynomial function, f(x), with rational coefficients has roots
3 + √7, then by the above, the conjugate which is 3 - √7 is also a root of f(x).
So, 3 - √7 is also a root of f(x).
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Write an inequality
greater than (-3) but less than or equal to 3
meaning x
Answers
An inequality greater than (-3) but less than or equal to 3 is as follows:
- 3 < x ≤ 3
What is an inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
An inequality have the following signs:
<>≤≥Therefore, an inequality greater than (-3) but less than or equal to 3 can be represented as follows:
Note the value we are comparing is x.
Hence,
- 3 < x ≤ 3
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AHHHHHHHHHHHH this is so hard
Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {a}^{2} - 64 }{ {a}^{2} - 10a + 24} \sdot \cfrac{ {a}^{2} - 12a + 36 }{ {a}^{2} + 4a - 32} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{( {a}^{} + 8)(a - 8) }{ {a}^{2} - 6a - 4a+ 24} \sdot \cfrac{ {a}^{2} - 6a - 6a + 36 }{ {a}^{2} + 8a - 4a- 32} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{( {a}^{} + 8)(a - 8) }{ {a}^{} (a - 6) - 4(a - 6)} \sdot \cfrac{ {a}^{} (a - 6) - 6(a - 6) }{ {a}^{}(a + 8) - 4(a + 8)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{( {a}^{} + 8)(a - 8) }{(a - 6) (a -4)} \sdot \cfrac{ (a - 6) (a - 6) }{ {}^{}(a - 4)(a + 8)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{(a - 8) }{(a -4)} \sdot \cfrac{ (a - 6) }{ {}^{}(a - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{(a - 8)(a - 6) }{(a -4) {}^{2} } [/tex]
Or [ in expanded form ]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {a}^{2} - 8a - 6a + 48 }{ {a}^{2} - 8a + 16 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {a}^{2} -14a + 48 }{ {a}^{2} - 8a + 16 } [/tex]
Answer:
[tex]\dfrac{(a-8)(a-6)}{(a-4)^2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{a^2-64}{a^2-10a+24} \cdot \dfrac{a^2-12a+36}{a^2+4a-32}[/tex]
Factor the numerator and denominator of both fractions:
[tex]\textsf{Apply the Difference of Two Squares formula} \:\:\:x^2-y^2=(x-y)(x+y):[/tex]
[tex]\begin{aligned} a^2-64 & =a^2+8^2 \\ & =(a-8)(a+8)\end{aligned}[/tex]
[tex]\begin{aligned}a^2-10a+24 & =a^2-4a-6a+24\\& = a(a-4)-6(a-4)\\ & = (a-6)(a-4) \end{aligned}[/tex]
[tex]\begin{aligned}a^2-12a+36 & =a^2-6a-6a+36\\& = a(a-6)-6(a-6)\\ & = (a-6)(a-6) \end{aligned}[/tex]
[tex]\begin{aligned}a^2+4a-32 & =a^2+8a-4a-32\\& = a(a+8)-4(a+8)\\ & = (a-4)(a+8) \end{aligned}[/tex]
Therefore:
[tex]\dfrac{(a-8)(a+8)}{(a-6)(a-4)} \cdot \dfrac{(a-6)(a-6)}{(a-4)(a+8)}[/tex]
[tex]\textsf{Apply the fraction rule}: \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{ac}{bd}[/tex]
[tex]\dfrac{(a-8)(a+8)(a-6)(a-6)}{(a-6)(a-4)(a-4)(a+8)}[/tex]
Cancel the common factors (a + 8) and (a - 6):
[tex]\dfrac{(a-8)(a-6)}{(a-4)(a-4)}[/tex]
Simplify the numerator:
[tex]\dfrac{(a-8)(a-6)}{(a-4)^2}[/tex]
If the p-value is smaller than the level of significance, what conclusion should we reach?
Answers
If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
In this question,
A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.
One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).
A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.
Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
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1.** Mr. Jokinen is complaining about his heavy backpack. He removed a few books which decreased the weight of his backpack by 20%, but it still weighs 20 pounds. How much did his backpack weigh before he removed the books?
Answers
Answer: 25 pounds
Step-by-step explanation: 100% - 20% = 80%
20 divided by 80% = 25
-5/208 + 4/7 + -3/4. Please answer my question as soon as possible. Thanks!
Answers
Answer:
[tex] - 0.2026[/tex]
Step-by-step explanation:
I hope it is the right answer
If z = 1+ i√3, what is z^5?
Answers
Answer:
.....................................
The graph shows the amount of money that the journalism club raised for a scholarship fund over a 5-week period. If x represents the number of weeks, which function is the BEST fit for the information in this graph?
Answers
The line of best fit for the information in this graph is:
f(x) = 200x + 100.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (t,v) are given as follows:
(2, 500), (3, 700), (4, 900), (5, 110)
Hence, inserting these points into a calculator, the equation is given by:
f(x) = 200x + 100.
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Can someone help me this is Algebra 2 thank you
Answers
Answer:
Order of exponentiation can be swapped here, and the fractional power written as a root.
Step-by-step explanation:
The commutative property of multiplication and the rules of exponents apply.
Product of exponentsThe rule is ...
(a^b)^c = a^(bc)
ApplicationThe given expression can be rearranged to ...
[tex]\left(3^\frac{1}{5}\right)^2=3^{\frac{1}{5}\cdot2}=3^{2\cdot\frac{1}{5}}=\left(3^2\right)^\frac{1}{5}\\\\=9^\frac{1}{5}=\boxed{\sqrt[5]{9}}[/tex]
Wayne made cookies. He used 4/5 of a cup of flour and 2/5 of a cup of sugar. How much more flour than sugar did Wayne use?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
Wayne used 2/5 more flour than sugar
Step-by-step explanation:
If you add 2/5 to 2/5 you get 4/5
What is (-7624928) * 997 + 7624928 * (-3)
Answers
Answer:
-7624928000 is the right answer.
Step-by-step explanation:
(-7624928) × 997 + 7624928 × (-3)
= -7602053216 + (-22874784)
= -7624928000 Ans..
Hope its helpful :-)
If so, please mark me as brainlist :-)
Answer:
Step-by-step explanation:
=(-7624928) * 997 + 7624928 * (-3)
=-7602053216+(-22874784)
=-7624928000
Simplify the expression. x≠0. (4x^2)^0
Answers
1
Step-by-step explanation:Anything raised to the power of zero is 1, other than zero itself.
However, as it is given that x is not equal to zero, the answer must be 1.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation: }[/tex]
[tex]\mathsf{(4x^2)^0}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{(4x^2)^0}\\\\\mathsf{= (4 \timesx^2)^0}\\\\\mathsf{= 4(x \times x)^0}\\\\\mathsf{= (4x^2)^0}\\\\\mathsf{= 1}[/tex]
[tex]\huge\textbf{Therefore, your answer should:}[/tex]
[tex]\huge\boxed{\frak{1}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the surface area of this composite solid.
Answers
Answer: C, 93m^2
Step-by-step explanation:
first step is to find the surface area of the base. it's 3x3, so that would be 9m^2. the sides of the rectangular prism are 5x3, so one side is 15m^2. there are 4, so 15x4=60m^2. now for the top, which is a triangular prism. each side has a height of 4 and a base of 3. the area of a triangle is 1/2bh, so 1/2(3)(4), which is 6. 4 of these makes 24 m^2. add up all of final numbers to get 9+60+24. this comes to 93m^2, or C.
Find the horizontal asymptote of the function
A. none
B. x = 0
c.y=0
D.y = 1
Reset Selection
(x-1)(x-3)²(x+1)²
(x-2)(x+2)(x-1)(x+3)*
Answers
Horizontal asymptote y = 1.
What is meant by horizontal asymptote?A slant asymptote has a specific instance known as a horizontal asymptote. A "recipe" for locating a rational function's horizontal asymptote is as follows: Let deg D(x) and deg N(x) represent the degree of the denominator and the numerator, respectively. No horizontal asymptote exists.1) If the degree of the numerator is smaller than the degree of the denominator, the horizontal asymptote is y = 0. 2) The horizontal asymptote is y = c, where c is the ratio of the leading terms or their coefficients if the degree of the numerator and denominator are equal.The denominator of the function, n(x), can be used to find vertical asymptotes by solving the equation n(x) = 0 (note that this only works if the numerator, t(x), is not zero for the same x value). Find the function's asymptotes. The graph exhibits a vertical asymptote at x = 1.Find the horizontal asymptote of the function:
Horizontal asymptotes are the lines perpendicular to the y-axis and meet the curve at infinity.
Horizontal asymptote y = 1.
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How many solutions does the following equation have?
23y+50+27y=50y+5023y+50+27y=50y+50
Answers
The equation 23 · y + 50 + 27 · y = 50 · y + 50 has infinite solutions.
How to infer the number of solutions of a linear equation of the form f(y) = 0
In this question we have an equation in implicit form: 23 · y + 50 + 27 · y = 50 · y + 50, we need to transform its expression into explicit form by using algebra properties:
23 · y + 50 + 27 · y = 50 · y + 50 Given
50 · y + 50 = 50 · y + 50 Commutative, associative and distributive properties / Definition of addition
0 = 0 Compatibility with addition / Existence of additive inverse / Modulative property / Result
The equivalence indicates that the equation 23 · y + 50 + 27 · y = 50 · y + 50 has infinite solutions.
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The speed, s, of the current in a certain whirlpool is modeled by x = StartFraction 300 Over d EndFraction, where d is the distance from the center of the whirlpool. Which statement is true?
Answers
The real statement is that the closer you get to the center of the vortex, the closer the current speed approaches infinity. option C is correct.
Given the speed s of the flow in a given vortex is modeled by x=300/d, where d is the distance to the center of the vortex.
speed is defined as the rate of change of an object's position in any direction. Speed is measured as the ratio of distance traveled to time traveled.
As d approaches 0, you are approaching the center of the vortex.
[tex]\begin{aligned}S&=\lim_{d\rightarrow 0}\frac{300}{d}\\ &=\frac{300}{0}\\ &=\infty\end[/tex]
Thus, if the flow in a given vortex is modeled by x = 300/d, as one approaches the center of the vortex, the speed of the flow tends to infinity.
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Answer: C- As you move closer to the center of the whirlpool, the speed of the current approaches infinity.
Choose the best answer from the choices below: the perpendicular bisector of a chord ____.
Answers
The perpendicular bisector of a chord passes through the center of a circle.
What is a chord?In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. It is the longest possible segment within the circle.
The perpendicular bisector of a chord is a line that passes through the midpoint of the chord, creating two equal halves, and is perpendicular to the chord.
Notably, for any chord in a circle, its perpendicular bisector always intersects at the center of the circle, making it a significant geometric property.
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Choose the inverse of y=x²-10x.
Oy=±√√x-25-5
O y = ± √√x-25 +5
Oy=√x+25-5
Oy=+√√x+25 +5
Answers
Answer:
[tex]y = \sqrt{x+25} + 5[/tex]
Step-by-step explanation:
Swap x and y
x = y² – 10y
Add 25 to each side to complete the square
x + 25 = y² – 10y + 25
Factor
x + 25 = (y – 5)²
Take the square root of each side
[tex]\sqrt{x+25}[/tex] = y – 5
Add 5 to both sides
[tex]\sqrt{x+25}[/tex] + 5 = y
Determine which of the following graphs does not represent a function.
Answers
Answer:
Graph b.
Step-by-step explanation:
B is not a function because it fails the vertical line test.
To be a function any vertical line drawn must pass through the graph at one point only. That is not true for graph B - a line can pass through 2 points on this graph.
