find the slope and y intercept for the graph of : 2x+4y=20
Answers
you can either graph it or solve it algebraically
move the parts of the equation to fit the sctructure of y = mx + b
2x + 4y = 20
4y = -2x + 20
divide by 4 on both sides to get 'y' by itself
y = -2/4x + 20/4
y = -1/2x + 5
this equation tells you the 'y intercept' and the slope
slope; -1/2
y intercept; 5
Related Questions
Let f be a continuous function on R. Suppose f(x) > 0 for all
x and (f(x))2 = 2f for all x ≥ 0. Show that f(x) =
x for all x ≥ 0.
5. Let f be a continuous function on R. Suppose f(x) > 0 for all x and (f(x))2 = 2 5c" f for all x > 0. Show that f(x) = x for all x > 0. . -
Answers
Given that f is a continuous function on R, f(x) > 0 for all x, and \(f(x)^{2}\) = 2f for all x ≥ 0, we need to show that f(x) = x for all x ≥ 0.
Let's assume that there exists a value a ≥ 0 for which f(a) ≠ a. Since f(x) is continuous, the Intermediate Value Theorem can be applied. Consider the function g(x) = f(x) - x. Since g(a) ≠ 0, either g(a) > 0 or g(a) < 0.
If g(a) > 0, it implies that f(a) - a > 0, which leads to f(a) > a. But this contradicts the given condition that f(x) > 0 for all x. Hence, g(a) cannot be greater than 0.
Similarly, if g(a) < 0, it implies that f(a) - a < 0, which leads to f(a) < a. Again, this contradicts the given condition that f(x) > 0 for all x. Therefore, g(a) cannot be less than 0.
Since g(a) cannot be greater than 0 or less than 0, the only possibility is that g(a) = 0, which implies f(a) = a. This holds true for all a ≥ 0. Hence, we can conclude that f(x) = x for all x ≥ 0.
Therefore, based on the given conditions, we have shown that f(x) = x for all x ≥ 0.
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What is 5 9/10 minus 2 3/5.
Answers
Answer: 3.3
Step-by-step explanation:
Answer:
The answer is 3.3
What are the solutions to the equation Sine (x + StartFraction 7 pi Over 2 EndFraction) = negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction over the interval [0, 2Pi]?
Answers
Given:
The equation is
\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)
To find:
The solutions of given equation over the interval \([0,2\pi]\).
Solution:
We have,
The equation is
\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)
\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\sin \dfrac{\pi }{3}\)
\(\sin\left(x+\dfrac{7\pi}{2}\right)=\sin (-\dfrac{\pi }{3})\)
If \(\sin x=\sin y\), then \(x=n\pi +(-1)^ny\).
Over the interval \([0,2\pi]\).
\(x+\dfrac{7\pi}{2}=4\pi-\dfrac{\pi }{3}\) and \(x+\dfrac{7\pi}{2}=5\pi+\dfrac{\pi }{3}\)
\(x=\dfrac{11\pi }{3}-\dfrac{7\pi}{2}\) and \(x=\dfrac{16\pi}{3}-\dfrac{7\pi}{2}\)
\(x=\dfrac{22\pi-21\pi }{6}\) and \(x=\dfrac{32\pi-21\pi }{6}\)
\(x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\)
Therefore, the two solutions are tex]x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\).
Answer:
C. π/6 & 11π/6
Step-by-step explanation:
If you graph the equation ( Sin (x+7π/2)=-√3/2) and look between 0 & 2π, you'll see that the lines intersect the x-axis at π/6 & 11π/6.
Write x²-10x+32 in vertex form
Answers
Answer:
y = (x-5)²+7
Step-by-step explanation:
i graphed x²-10x+32 and found the vertex is at (5,7)
i used the y-intercept as a point on the curve in the formula:
y = a(x-h)²+k
32 = a(0-5)²+7
subtract 7 from each side to get:
25 = 5²a
25 = 25a
a = 1
y = (h-5)² + 7
A 2 cm pink block has been placed below the blue blocks. How many blue blocks would be needed in order make a stack of blocks that is 50 cm high?
Answers
a=2cm. b=50cm. x=?
x=b:a. x=50:2. x=25
Please helppp, I forgot how to do this
Answers
Answer:
Your answer is correct, (-6, -4, 0, 2, 6).
Explanation:
Take the equation 3/2x+8
Then take each number and plug it in for "x".
For example:
3/2(6) + 8 = -1
or you can change the fraction into a decimal to make it easier...
1.5(6)+8=-1
1. Analyze the sequence below.
ΟΛΟ
Answers
Answer:
what sequence
Step-by-step explanation:
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 4x + 5 and TQ = 8x-7
Answers
Answer:
PT = 17
Step-by-step explanation:
Since T is the midpoint of PQ, then
PT = TQ , substitute values
4x + 5 = 8x - 7 ( subtract 4x from both sides )
5 = 4x - 7 ( add 7 to both sides )
12 = 4x ( divide both sides by 4 )
3 = x
Thus
PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17
Answer:
17
Step-by-step explanation:
since T is mid point of PQ
PT=TQ
\(4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 \div 4 \\ x = 3 \\ \)
so
\(pt = 4x + 5 \\ = 4(3) + 5 \\ = 12 + 5 \\ pt = 17\)
HELP IT IS URGENT IF I GET THIS WRONG I WILL FAIL HIGHSCHOOL
Answers
Answer:
1. 60 seconds.
2. 9 minutes.
3. 3 minutes, 180 seconds.
4. 300 seconds, 5/60 horas.
Which Is The Simplified Rational Expression?
Answers
Answer:
1st choice
Step-by-step explanation:
(r² -4r + 5 - r² -2r + 8) / (r - 4)
= (-6r + 13) / (r - 4)
Select all pairs of corresponding angles. assume the lines are parallel.
none
2 and 5
1 and 5
4 and 8
1 and 6
4 and 7
2 and 6
3 and 8
3 and 7
Answers
Answer:
1 and 5
2 and 6
3 and 7
4 and 8
find the remainder when f(x) = 2x3 − 12x2 11x 2 is divided by x − 5. (2 points) 7 −3 3 −7
Answers
The remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.
We can use the remainder theorem to find the remainder when a polynomial is divided by a linear factor.
The remainder theorem states that the remainder when a polynomial f(x) is divided by x - a is f(a). In this case, the polynomial is f(x) = 2x3 - 12x2 + 11x + 2 and the linear factor is x - 5. So, the remainder is f(5).
To find f(5), we can simply substitute x = 5 into the polynomial. This gives us f(5) = 2(5)3 - 12(5)2 + 11(5) + 2 = 7.
Therefore, the remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.
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Help please!! <3
Anything would be much appreciated!!
Answers
Answer:
a) It is not possible to find the mean because these are words, not numbers.
b) If we put these words in alphabetical order, we have:
blue, blue, green, purple, purple, purple, red, red
The median word here is purple.
c) It is possible to find the mode, which in this case is the word that appears the most times in this list. That word is purple, which appears three times.
Please help!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
the best answer may be D because 9/3 =3 3×5=15
How many unit cones would you need to make rectangular prism that is 8 cubic units tall, 4 cubic units wide, and 6 cubic units long?
Answers
Answer:
192 unit³
Step-by-step explanation:
The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:
Height, h = 8 unit³
Width, w = 4 unit³
Length = 6 unit³
The volume of the rectangular Prism is given as :
Volume = Length * width * height
Volume = (6 * 4 * 8) unit³
Volume = 192 unit³
Write 3.01 repeating as a mixed number.
Answers
Answer:
3 1/100
Step-by-step explanation:
Place the decimal number over a power of ten.
Find the LCM of 4 and 9
A. 9
B. 35
C. 72
D. none of the above
Answers
Answer:
neither, its 36 actually
Step-by-step explanation:
determine whether the raltion r on the set ofall integers is reflexin x =y^2
Answers
The relation "r" on the set of all integers, where x = y^2, is not reflexive.
A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.
For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.
Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.
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A customer purchased 9 avocados at the same price each. The customer had $46 to spend on groceries. After purchasing the avocados, the customer was left with $27.19. How much did each avocado cost?
Answers
Answer:
each avocado cost = $2.09
Step-by-step explanation:
He spent : $46 - $27.19 = $18.81
so lets the cost of each be x
9 * x = $18.81
x = $18.81 / 9
x = $2.09
There are 1,215 souvenir paperweights that need to be packed in boxes. Each box will hold 14 paperweights. How many boxes will be needed?
Answers
To find out how many boxes will be needed to pack 1,215 souvenir paperweights, we can divide the total number of paperweights by the number of paperweights that can fit in one box.
Number of paperweights that can fit in one box = 14
Total number of paperweights = 1,215
Number of boxes needed = Total number of paperweights / Number of paperweights that can fit in one box
Number of boxes needed = 1,215 / 14 ≈ 86.79
Since we cannot have a fraction of a box, we need to round up to the nearest whole number of boxes. Therefore, we need a total of 87 boxes to pack all 1,215 souvenir paperweights.
Compare the three data sets on the right: 11121314151617 111213- 151647 121314151617 Which data set has the greatest sample standard deviation? Dala set (iii) , because has more entries that are close Ine mean Data set (Ii) , because has more entries Ihat are farther avay from the mean Data set () because has [wo entrius that ar0 far away from tho moan; Which data set has the least sample standard deviatlon? Data set (iii) , because has more entries that are close Ine mean Data set (i), because has less entries that are farther away Irom the mean Data set (ii) . because has more entries Ihat are farther away from (he mean: (b) How are the data sets the same? How do they differ? rcan; modian and mode but have different standard doviabons: The three data sets have the same Samu standard deviations but have dilferent means The throo data sots have the same mean and modu but have diffaront medians standard deviabons.
Answers
The correct answer is as follows: a) The data set that has the greatest sample standard deviation is Data set (ii).
b) Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.
(a) The data set that has the greatest sample standard deviation is Data set (ii).
The sample standard deviation is a measure of the amount of variation or dispersion of a set of data values.
In this case, Data set (ii) has more entries that are farther away from the mean, which results in a larger standard deviation.
(b) The data sets are the same in terms of containing the same numbers (11, 12, 13, 14, 15, 16, and 17).
However, they differ in terms of the order in which these numbers are arranged.
In addition, they differ in terms of the mean, median, mode, and standard deviation.
For example, Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.
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Find the missing length of the triangle.
C=ft
Answers
Answer:
c = 12ft
Step-by-step explanation:
\(A^{2}\) + \(B^{2}\) = \(C^{2}\)
\(7.2^{2}\) + \(9.6^{2}\) = 144
\(\sqrt{144}\) = 12
Please answer all of the questions EXCEPT the ones already answered. I WILL GIVE BRAINLIEST TO WHOEVER DOES IT QUICKEST!
Answers
Answer:
#3= 8 #4=2 #5= 4,3 #6= 5 #7= 8 #8=9
Step-by-step explanation:
Which system of inequalities has the solution set
shown in the graph?
O y≤ x²-8 and x > y² + 1
O y2x²-8 and x < y² + 1
O y ≤ x² + 1 and x > y² - 8
O y2x² + 1 and x < y² - 8
PLEASE HELP FAST!!
Answers
The system of inequalities that has the solution set shown in the graph is y ≤ x²-8 and x > y²+1(a).
The solution set shown in the graph is the shaded area below the parabola y=x²-8 and to the right of the curve y=x²+1. This means that y is less than or equal to x²-8 and x is greater than y²+1. So, the correct system of inequalities is y ≤ x²-8 and x > y²+1.
Graphically, the solution set can be seen as the shaded area in the attached graph. The blue curve is y=x²-8, and the red curve is y=x²+1. The solution set is the shaded area below the blue curve and to the right of the red curve. So option A is correct.
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An Assembly Line Has 10 Stations With Times Of 1, 2, 3, 4, …, 10, Respectively. What Is The Bottleneck Time?
Answers
The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.
The bottleneck time is the longest time it takes to complete any task in the assembly line. In this case, the longest time needed is 10, which is the last station. This means that all the other tasks must be completed within 10 seconds in order for the entire assembly line to proceed.
The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.
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Help me it’s due in 20 minutes!!
Answers
The measure of c is ???
Answers
Explanation:
this is using the pythagorean theorem: a^2 + b^2 = c^2. c is always the hypotenuse (longest side) of the triangle.
so plugging in the numbers: 9^2 + 6^2 = c^2.
solving: 81 + 36 = c^2
117 = c^2
now to solve for c^2, we can take the square root of both sides: sqrt(117) = c
to simplify the square root, we can factor it. 117 can be divided into 13 * 9. (I just tried numbers given in the options)
so c = sqrt(13 * 9)
9 can be factored into 3 * 3
c = sqrt(13 * 3 * 3)
since we have two 3’s, that can be taken out of the square root to get:
c = 3*sqrt(13)
What is the square root of 625?
Answers
Answer: 25
Step-by-step explanation:
25 * 25 = 625
Answer:
625
Step-by-step explanation:
25 times 25 equals 625
what is derivative calculator symbolab
Answers
Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.
To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.
The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.
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Zelly works 10 hours a week at a food market for $6.50 an hour she takes Home $5.20 an hour after deductions what is her rate for deductions use an equation to model the problem and solve it use our to represent the rate for her deductions
Answers
Answer:
$1.40/ hour
Step-by-step explanation:
The rate of the deductions is
Full amount minus new amount. This is the amount taken per hour
$6.50/ hour -$5.2/hour = rate
$1.40/ hour