Which statement best describes the function?
OA. The function is increasing when x < 0.
B. The function is never increasing.
OC. The function is increasing when x > 0.
O D. The function is always increasing.
Answers
The correct statement regarding the interval in which the function is increasing is given as follows:
C. The function is increasing when x > 0.
How to classify a function as increasing or decreasing?Looking at the graph of the function, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when the input variable represented x increases, the output variable represented by y also increases.Looking at the graph of the function, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down the graph, meaning that when the input variable represented by x increases, the output variable represented by y decreases.The intervals for each function are given as follows:
x < 0: decreasing.x > 0: increasing.Missing InformationThe graph of the function is given by the image presented at the end of the answer.
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Related Questions
A meteorologist analyzes data about a rainstorm in an area starting at 10 p.m. and uses the linear model u = 0.75t + 1.5 of rain accumulation, , in inches, hours after midnight when t > 0 Which best describes the value 1.5 to represent the total amount
A slope and the change in the total amount of rain, in Inches per hour
B slope and the initial amount of rain, in inchesat midnight
C y-intercept and the change in the total amount of rainin inches per hour
D y-Intercept and the initial amount of rain, in inches at midnight
Answers
The option that best describes the value 1.5 in the linear equation; u = 0.75·t + 1.5 is option D
D. y-intercept and the initial amount of rain, in inches at midnight
What is a linear equation?A linear equation is an equation of the form; y = m·x + c, where, m is the slope, and c is the y-intercept of the graph of the equation.
The time at which the analysis of the rainstorm by the meteorologist starts = 10 p. m.
The linear model for the accumulation of rain is; u = 0.75·t + 1.5
The number of hours, t after midnight where; t > 0
The model for the accumulation of rain, indicates that the coefficient of t, which is 0.75 is the rate at which the rain accumulates in inches per hour, therefore, the rain accumulates at a rate of 0.75 inches per hour
The constant term in the linear equation, u = 0.75·t + 1.5, which is the constant, 1.5, is the y-intercept of the graph of the equation.
The y-intercept is the value of the equation, when the input value, the time, t = 0, which is the time at midnight
The 1.5 therefore, indicates that the y-intercept, and the level of the accumulated rain at midnight, when the time, t = 0, which is the initial amount of rain at midnight is 1.5 inches.
The correct option is therefore;
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If I add 8.0g of sugar to a cup of tea, and have 2 cups of tea in the morning, how much sugar will I have consumed from drinking tea?
Answers
Answer:
1.6g
Step-by-step explanation:
1 cup of tea= 0.8g
2 cups of tea= 0.8g×2= 1.6g
Divide and answer in simplest form :) 5/3÷3
Answers
Answer:
5/9
Step-by-step explanation:
5/3÷3
Copy dot flip
5/3 * 1/3
5/9
the worthington family is applying for a loan to purchase a new home.In order to qualify they must have a net worth greater than 100,000. based on the info given what is the worthing family's net worth will they qualify for the loan
Answers
Answer:
I guess please finish the question or this is the numbers I had.
Step-by-step explanation:
Mr. Worthington is a dentist, so he has $85,400 in student loans to pay off. Mrs. Worthington earns $42,500 per year at her job. The Worthington family has a savings account with a balance of $18,800.They own two vehicles that are worth a combined total of $64,600.Mrs. Worthington owns an antique necklace valued at $6,200.The Worthingtons have been saving for their children's college fund. currently has a balance of $24,700.Worthington family would not be able to apply for the loan to purchase a new home because their net worth is less than $100,000
How to determine the family's networth?The given parameters are:
Student loan = $85,400
Earnings = $42,500 per year
Savings account balance = $18,800.
Vehicles worth = $64,600.
Necklace value = $6,200.
College fund balance = $24,700
The net worth is the sum of the family's earnings, account balance minus the loans.
So, we have:
Networth = $42,500 + $18,800 + $64,600 + $6,200 + $24,700 - $85,400
Evaluate the sum and the difference
Networth = $71,400
The above means that the Worthington family would not be able to apply for the loan
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stion 5 of 9A line in the coordinate plane passes through the point and is parallel to the line with equation .
Answers
The Solution:
We want to find the equation of a line S, which passes through point (6,2).
Let the required equation of line S be
\(y-y_1=m(x-x_1)\)Where m = the slope of line S, and
\(\begin{gathered} x_1=6 \\ y_1=2 \end{gathered}\)We are told that line S is parallel to line r, which is, y = 56x + 1. This implies that both lines have the same slope (m).
So, to find the slope (m) of line S, we shall compare y=56x+1 to the general form of equation of a line as given below:
\(y=mx+c\)Comparing both equations below:
\(\begin{gathered} y=mx+c \\ y=56x+1 \\ \text{ We have that,} \\ m=56 \end{gathered}\)Substituting 56 for m, and the given point (6,2) in the formula above, we get
\(y-2=56(x-6)\)Clearing the bracket, we get
\(\begin{gathered} y-2=56x-336 \\ y=56x-336+2 \\ y=56x-334 \end{gathered}\)Thus, the equation of line r is: y = 56x - 334
Mortgage Rates
The average 30-year fixed mortgage rate in the United States in the first week of May in 2010 through 2012 is approximated by
M(t) =
55.9
t2 − 0.31t + 11.2
percent per year. Here t is measured in years, with
t = 0
corresponding to the first week of May in 2010.†
(a)
What was the average 30-year fixed mortgage rate in the first week of May in 2012
(t = 2)?
(Round your answer to two decimal places.)
% per year
(b)
How fast was the 30-year fixed mortgage rate decreasing in the first week of May in 2012
(t = 2)?
(Round your answer to two decimal places.)
% per year
Answers
a) The average 30-year fixed mortgage rate in the first week of May in 2012 is found 4.91% per year.
b) The rate of change of the mortgage rate in the first week of May in 2012 is found -0.62% per year.
(a) The average 30-year fixed mortgage rate in the first week of May in 2012 is approximately 4.91% per year.
To find the mortgage rate in 2012,
we need to find M(2):
M(t) = 55.9t² - 0.31t + 11.2%
M(2) = 55.9(2)² - 0.31(2) + 11.2%
M(2) = 55.9(4) - 0.62 + 11.2%
M(2) = 223.6 - 0.62 + 11.2%
M(2) = 234.18%
Therefore, the average 30-year fixed mortgage rate in the first week of May in 2012 is approximately 4.91% per year. Rounding to two decimal places, we have 4.91%.
(b) The rate of change of the mortgage rate in 2012 is approximately -0.62% per year.
We are looking for the rate of change of the mortgage rate in 2012.
That is, we need to find the derivative of M(t) at t = 2:
M(t) = 55.9t² - 0.31t + 11.2
M'(t) = 111.8t - 0.31
M'(2) = 111.8(2) - 0.31
M'(2) = 223.6 - 0.31
M'(2) = 223.29%
Therefore, the rate of change of the mortgage rate in the first week of May in 2012 is approximately -0.62% per year. Rounding to two decimal places, we have -0.62%.
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Which equation represents a line which is parallel to the line
y =-4/3x-7?
Answers
The equation 4x + 3y = -18 is parallel to the given line since they have the same slope.
Equation of a lineThe equation of a line in slope-intercept form is expressed as y = mx + b
where
m is the slope
b is the y-intercept
Given the equation below
y =-4/3x-7
The slope of the line is -4/3.
In order to determine the equation that represents a line which is parallel to the line, we need to determine the line that has a slope of -4/3
For the equation 4x + 3y = -18:
3y = -4x - 18
Divide through by 3 to have:
3y/3 = -4x/3 - 18/3
y = -4/3 x - 6
Since the slope of the line is -4/3, hence the equation 4x + 3y = -18 is parallel to the given line.
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Can someone help me find the equation of the line in the form y=mx, where m is the slope
need help ASAP!
Answers
Answer:
m =5
Step-by-step explanation:
y = 5x
Answer:
m=5
Step-by-step explanation:
what is the value of x + y?
Answers
Answer:
55°
Step-by-step explanation:
180°-70°=110° (sum of angles on a straight line gives 180°
The size of each of the four remaining angles=110°/4 = 27.5°
<X + <Y = 27.5° + 27.5°=55°
SY FOR
f(x)= x³ - 8x² + kx-20
When f(x) is divided by (x - 1), the remainder is R.
When f(x) is divided by (x - 2), the remainder is 4R.
Find the value of k.
Answers
Applying polynomial division and solving the equation for the value of k using the substitution method, The answer is 32.
What do you mean by a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What is a substitution method for solving equation?For each of the variables, solve one equation. Solve the other equation by substituting this expression. To identify the matching variable, rewrite the value's original equation.
Divide f(x) by x-1 , we get
k-27=R
Divide f(x) by x-2, we get
2k-44=4R
substitute value of R in second equation and solve, we get
k=32
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Please hurry I need this fast
Answers
Answer:
int option 3
Step-by-step explanation:
Answer:
I think it is option 4
Step-by-step explanation:
could be 3 possiblyu
PLEASE HELP!! A classmate wrote the set notation for the values of the domain of a function {−5, −4, −3, −2, −1, 0} as {x | −5 ≤ x ≤ 0}. Explain the student's error.
A. The student should have listed 0 before −5
B. The set notation includes all values from −5 to 0, but the domain only includes the integer values.
C. The student should have used less than symbols rather than less than or equal to symbols.
D. The student should have used greater than or equal to symbols rather than less than or equal to symbols.
Answers
The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
==========================================================
Further explanation:
Let's go through the answer choices one by one
A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that \(-5 \le x \le 0\) is the correct order as well.B. This is true. A value like x = -1.2 is in the set \(\left\{x| -5 \le x \le 0\right\}\) since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write \(\left\{x| x\in\mathbb{Z}, \ -5 \le x \le 0\right\}\). The portion \(x \in \mathbb{Z}\) means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers". C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.D. This is false. Writing \(-5 \ge x \ge 0\) would not make any sense. This is because that compound inequality breaks down into \(-5 \ge x \ \text{ and } \ x \ge 0\). Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.please tell me y what 6(2y−9)=-42
Answers
Answer:
y =1
Step-by-step explanation:
6(2y−9)=-42
Divide each side by 6
6/6(2y−9)=-42/6
2y -9 = -7
Add 9 to each side
2y -9+9 = -7+9
2y =2
Divide by 2
2y/2 = 2/2
y =1
Estimate ΔyΔy using differentials.
y=cos(5x),=/30,x=0.055
(Give your answer to three decimal places.)
Answers
The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin(5x)dx. We are given that y=cos(5x)=π/30y=cos(5x)=π/30 and x=0.055x=0.055.
We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:
Δy≈dy≈dy=-5sin(5x)dx
Plugging in the values of y, x, and dxdx, we get:
Δy≈-5sin(5(0.055))(0.005)≈-0.00679
Therefore, the estimated change in yy using differentials is -0.00679.
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Mark wants to fence 4 rectangular gardens, each with a length of 94 feet and a width of 4 feet. What is the total length of fencing Mark needs to
surround all 4 gardens?
Mark needs
feet of fencing
Answers
Answer:
784ft
Step-by-step explanation:
4 rectangles 4 sides each
(94*2)+(4*2) would make up one rectangle so you multiply by 4
(94*8)+(4*8)
94*8=752ft
4*8=32ft
752+32=784ft
find the sum of the convergent series. Sigma n=1 to infinite 24/n(n + 2)
Answers
The sum of the given series is \(12 + 2/3.\)
We can write the given series as:
\(Σn=1 to ∞ 24/n(n+2) = Σn=1 to ∞ [24/n - 24/(n+2)]\)
Notice that the above expression telescopes, meaning that most of the terms cancel out and we are left with just the first two and the last two terms. Thus, we have:
\(Σn=1 to ∞ [24/n - 24/(n+2)] = [24/1 - 24/3] + [24/2 - 24/4] + [24/3 - 24/5] + [24/4 - 24/6] + ...\)
= \(8 + 4 - 8/5 - 4/6 + 8/3 - 8/7 + 8/4 - 8/8 + ...\)
Notice that the sum of the positive terms and the sum of the negative terms of the series also telescope, so we can further simplify:
\(Σn=1 to ∞ [24/n - 24/(n+2)] = 12 + 2/3\)
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Which of these is a valid byte? check all that apply. 1 point 11011011 10022011 11100 00000000 2.
Answers
11011011, 11100, and 00000000 are the valid byte except 10022011.
In a system, a byte is a unit of data, that consists of 8 bits, where bits are the smallest unit of storage, bits are represented by just two digits 1 and 0, while bytes, it combination of bites, ranging from 0 and 1.In the given problem, 11011011, is a valid byte since it contains only 1 and 0 a total of 8 bits.11100 can be interpreted as 00011100 so, so it also consists of 8 bits of 1, and similarly =it is the same as 00000000, whereas 10022011, consists of 2, which is not a valid bit.
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Please help asap!!!!!
Answers
The value of y when x=0 is 4
So ?=4
51. The optimistic time for completion of Activity " \( X \) " on a PERT chart was 6 hours, the most likely time was for this same activity was 9 hours and the pessimistic time was 12 hours. Using the
Answers
The expected time for completion of Activity "X" on a PERT chart is 9 hours.
PERT analysis is a project management technique that is used to evaluate and analyze the tasks involved in finishing a project. It makes use of 3 duration estimates: optimistic, pessimistic, and most likely times to calculate the expected duration of each activity. These estimates are used to analyze the critical path, slack time, and schedule of the project.
Let's calculate the expected time for completion of Activity "X" on a PERT chart using the given estimates:
Optimistic time (O) = 6 hours
Most likely time (M) = 9 hours
Pessimistic time (P) = 12 hours
Expected time (TE) = [O + 4M + P] ÷ 6= [6 + 4(9) + 12] ÷ 6= [6 + 36 + 12] ÷ 6= 54 ÷ 6= 9
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What’s the answer ? Im too tired fa this shi
Answers
Answer:
90-39=51 thats a 90° angle
Rearrange x = 3g + 2 to make g the subject.
Answers
Answer:
g = \(\frac{x-2}{3}\)
Step-by-step explanation:
x = 3g + 2 ( subtract 2 from both sides )
x - 2 = 3g ( divide both sides by 3 )
\(\frac{x-2}{3}\) = g
Answer:
g = 1/3x - 2/3Step-by-step explanation:
x =3g + 2
3g + 2 = x
3g = x - 2
g = 1/3 x - 2/3
Answer: g = 1/3x - 2/3
this figure is made up of a rectangle and parallelogram. what is the area of this figure? enter your answer in the box. do not round any side lengths. units²
Answers
40 square units is the area of this rectangle figure .
What is a rectangle ?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).
The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.
The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.
L = sqrt((2 - -6)^2 + (1 - -1)^2)
L = sqrt(8^2 + 2^2)
L = sqrt(64 + 4)
L = sqrt(68) = 2*sqrt(17)
W = sqrt((2-3)^2 + (1- -3)^2)
W = sqrt((-1)^2 + 4^2)
W = sqrt(1 + 16)
W = sqrt(17)
And the area is length * width, so:
2*sqrt(17)*sqrt(17) = 2 * 17 = 34
And the total area is the sum of the areas, so
34 + 6 = 40
So the area of the figure is 40 square units.
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I’ll love u forever if u help me with this ASAP plzzzzz ;)
Answers
Absolutely nothing
Answer:
a,g,e
Step-by-step explanation:
MMM HEY PLEASE HELP. IM LITERALLY ABOUT TO END MYSELF.
Answers
Answer:
so
Step-by-step explanation:
i would try C bc it has both 73 degrees and 83 degrees and i dont really know what SAS is besides it means side angle side??? if its right can i have brainlest
im confused on this question can someone please show me steps on how do this?
Answers
Which of the following equations shows "Five times a number minus 40 is 50"?
Answers
Answer:
Step-by-step explanation:
hello,
let's say that the number we are looking for is n
the sentence means
5n-40=50
hope this helps
Answer:
The question is simply a written version of an equation.
Where it says "a number", let us use the variable x.
5 * x - 40 = 50
5x - 40 = 50
x - 8 = 10
x = 18
I am not sure which of the equations are depicted, but I hope this helps!
Classify the following triangle. Check all that apply.
Answers
Answer: scalene, right
Step-by-step explanation:
None of the side lengths of the triangle are equal, so the triangle is scalene.
This triangle also has a right angle, so it is a right triangle.
Answer:
D. And E.
Step-by-step explanation:
It is a right triangle because it has a corner that is 90 degrees. It is also scalene because all of the sides and angles have different values.
I will give brainliest ...... just do #7 thank you
Answers
Answer:
121 more T-shirts
Step-by-step explanation:
Answer:
5.20x + 172.90 = 800
-172.90 -172.90
5.20x = 627.1
/5.20 /5.20
x = 120.5961 or 120.60
5.20 x 120.60 = 672.12
172.90 + 627.1 = 800
the answer is 121
CollegeBoard AP Classroom Unit 7 Progress Check: MCQ 5 8 (10) 11 12 Question 7 a of the following, which is not a solution to the differential equation y" + 4y = 0? A y = 10 By=4e-22 y=3 sin(2x) y-2 cos(2x) + 4
Answers
So, the correct answer is: A) y = 10 (This is NOT a solution to the given differential equation.)
The given differential equation is y" + 4y = 0, which can be rewritten as y" = -4y. To check which of the given functions is not a solution to this equation, we can simply substitute them into the equation and see if it holds true.a) y = 10 .
y" = 0 (second derivative of a constant is always zero)
Substituting into the equation: y" + 4y = 0 + 4(10) = 40 ≠ 0 ,
Therefore, y = 10 is not a solution to the differential equation.
b) y = 4e^-2x
y" = 16e^-2x
Substituting into the equation: y" + 4y = 16e^-2x + 4(4e^-2x) = 32e^-2x ≠ 0, Therefore, y = 4e^-2x is not a solution to the differential equation. c) y = 3sin(2x), y" = -12sin(2x)
Substituting into the equation: y" + 4y = -12sin(2x) + 4(3sin(2x)) = 0, Therefore, y = 3sin(2x) is a solution to the differential equation.(d) y = 2cos(2x) + 4, y" = -8cos(2x).
Substituting into the equation:y" + 4y = -8cos(2x) + 4(2cos(2x) + 4) = 0, Therefore, y = 2cos(2x) + 4 is a solution to the differential equation. In conclusion, the function that is not a solution to the differential equation y" + 4y = 0 is y = 10 (option A).
Comparing this general solution to the given options, we can see that options C) and D) fit the general form. Options A) and B) do not fit the general solution form.
However, since A) is a constant function, its second derivative is y'' = 0, which means y'' + 4y = 4 * 10 = 40, not satisfying the differential equation. So, the correct answer is: A) y = 10 (This is NOT a solution to the given differential equation.)
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A triangle has side lengths of 18 cm, 80 cm, and 81 cm. Classify it as acute, obtuse, or right.obtuserightacute
Answers
The triangle is an οbtuse triangle.
What is a triangle?Tο determine if the triangle is acute, οbtuse, οr right, we need tο check if it satisfies the Pythagοrean theοrem. Accοrding tο the Pythagοrean theοrem, in a right triangle, the sum οf the squares οf the lengths οf the legs (the shοrter sides) is equal tο the square οf the length οf the hypοtenuse (the lοngest side). Sο, if the sum οf the squares οf the twο shοrter sides is equal tο the square οf the lοngest side, then the triangle is a right triangle.
Let's calculate the squares οf the three sides:
The square οf the first side (18 cm) is 324.
The square οf the secοnd side (80 cm) is 6400.
The square οf the third side (81 cm) is 6561.
Nοw, we need tο determine if the sum οf the squares οf the twο shοrter sides is greater than οr less than the square οf the lοngest side. Sο, we have:
324 + 6400 = 6724
Since 6724 is less than 6561, the triangle dοes nοt satisfy the Pythagοrean theοrem and it is nοt a right triangle. Therefοre, the triangle is either an acute οr οbtuse triangle.
Tο determine if the triangle is acute οr οbtuse, we need tο find the largest angle οf the triangle. We can use the Law οf Cοsines tο find the largest angle οf the triangle, which is οppοsite the lοngest side. The Law οf Cοsines states that in any triangle:
\(c^2 = a^2 + b^2\) - 2ab cοs(C)
where a, b, and c are the lengths οf the sides οf the triangle, and C is the angle οppοsite the side c.
In οur case, a = 18 cm, b = 80 cm, and c = 81 cm. Sο, we have:
\(81^2 = 18^2 + 80^2 - 2(18)(80) cos(C)\)
6561 = 324 + 6400 - 2880 cοs(C)
Nοw, we can sοlve fοr cοs(C):
cοs(C) = (6400 + 324 - 6561) / (2(18)(80))
cοs(C) = -0.2216
Since cοsine is negative, the angle C is οbtuse.
Therefοre, the triangle is an οbtuse triangle.
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You want to know the classification of a triangle with side lengths 18 cm, 80 cm, and 81 cm. A triangle can be classified by looking at the measure of its largest angle. The classification of the triangle is the same as the classification of that angle: obtuse if > 90°, right if = 90°, and acute if < 90°.
Largest angleThe largest angle is always opposite the longest side. In a triangle with angles A, B, C and their opposite sides a, b, c, we can call the largest angle C. Its measure can be computed using the Law of Cosines, which tells you ...
C = arccos((a² +b² -c²) / (2ab))
C = arccos((18² + 80² - 81²) / (2×18×80)) = arccos(163/2880) ≈ 86.8°
The largest angle is less than 90°, so the triangle is an acute triangle.
