Answers
9514 1404 393
Answer:
f(-∞) → -∞f(∞) → ∞odd degree5 real zerosStep-by-step explanation:
The general shape of "up to the right" tells you this is an odd-degree polynomial with a positive leading coefficient. As such, the value of f(x) will have the same sign as the value of x when x gets large. The end behavior could be described by ...
lim[x → -∞] f(x) → -∞
lim[x → ∞] f(x) → ∞
__
The curve crosses the x-axis 3 times and touches it once without crossing. Each crossing is a real zero. Each touch is a a real zero with an even multiplicity. The shape (flatness) of the touch gives a clue as to the multiplicity. (Flatter means higher multiplicity.) Here the shape indicates the zero has a multiplicity of 2.
So, there are 4 distinct real zeros, one with a multiplicity of 2, for a total of 5 real zeros.
_____
Additional comment
An even-degree polynomial function has a generally U shape. If the leading coefficient is negative, the U is upside down: ∩. An even-degree polynomial will have the limits of f(x) having the same sign, regardless of the sign of x.
Related Questions
Jerry tosses a coin 17 times and makes one step forward with each toss. However, he makes three more steps forward if he gets heads. If he made 62 steps forward, how many heads did he get?
Answers
A random sample of medical files is used to estimate the proportion p of all people who have blood type B. (a) If you have no pre-liminary estimate for p, how many medical files should you include in a random sample in order to be 90% sure that the point estimate will be within a distance of 0.03 from p?(b) Answer part (a) if you use the pre-liminary estimate that about 13 out of 90 people have blood type B.
Answers
Answer:
a) 752 medical files should be included.
b) 372 medical files should be included.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Question a:
This is n for which M = 0.03. We have no estimate, so we use [tex]\pi = 0.5[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645*0.5[/tex]
[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]
[tex]n = 751.67[/tex]
Rounding up:
752 medical files should be included.
Question b:
Now we have that:
[tex]\pi = \frac{13}{90} = 0.1444[/tex]
So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.1444*0.8556}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.1444*0.8556}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.1444*0.8556}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.1444*0.8556}}{0.03})^2[/tex]
[tex]n = 371.5[/tex]
Rounding up:
372 medical files should be included.
Help on this math question please
Answers
Answer:
3x² + x + 1
-3x² + x + 1
-54
Step-by-step explanation:
there is nothing complicated to it. you just use the requested pertain on the whole expressions of the functions, and the result is then the new function.
so,
r(x) = 3x²
s(x) = x + 1
what do you think s + r is ?
it is simply
(s+r)(x) = 3x² + x + 1
done. that is really all there is to this.
now the next (but consider the sequence due to the sign)
(s-r)(x) = x + 1 - 3x² = -3x² + x + 1
and the third
(s×r)(x) = 3x²(x+1) = 3x³ + 3x²
so, for x=-3
(s×r)(-3) = 3×(-3)³ + 3×(-3)²
remember, an even power of a negative number gives a positive result, an uneven power of a negative number gives a negative result.
(s×r)(x) = 3×-27 + 3×9 = -81 + 27 = -54
Find the size of unknown angles
Answers
Step-by-step explanation:
2x+3x+x+20=180
6x+20=180
6x=160
x=160/6
x=26.667
Answer:
2X=53.2 , 3X=79.8 , X+20=46.6
Step-by-step explanation:
3X+2X+X+20=180
therefore,
6X+20=180
6X =180-20
6X =160
X = 160 over 6
X =26.6
now,
3X = 26.6 x3
=79.8
2X =26.6 x2
=53.20
X+20 =26.6+20
=46.6
Im not sure if it's right. Because the total does not make 180 degrees.
What number can go in the box to make the number sentence true?
6 + 0 = 10
0.
4.
6.
10.
Answers
18. Which of the following is true for a circle that has a circumference of approximately 75 feet?
O The diameter is approximately 12 feet.
O The radius is approximately 12 feet.
O The radius is approximately 12 square feet.
O The diameter is approximately 12 square feet.
Answers
Answer:
A) The diameter is approximately 12 feet.
Step-by-step explanation:
C= piD
sq ft would be wrong bc this is not talking ab area
Which of the following displays cannot be used to compare data from two different sets?
Answers
Answer:
Scatter plot charts are good for relationships and distributions, but pie charts should be used only for simple compositions — never for comparisons or distributions.
You are reading a study which asked 60 students enrolled in the local high school to self-report drug use, sexual activity and college education plans. You know this is an example of what type of sampling methodology
Answers
Answer:
Convenience sampling method
Step-by-step explanation:
We can see that these students are not selected randomly.
You know this is an example of the convenience sampling method. The convenience sampling method can be described as a non probability method of sampling that is also from people that can be easily contacted. These people are sampled basically for the fact that they are convenient ways of getting data, for the person who is researching. The first available source of primary data is what is used and there are no other requirements for getting this participants.
Help if possible pls
Answers
Answer: Oh heaven nah
Step-by-step explanation: Lord have mercy
Which expression is equal to 52√13√?
26√13
65√2
526√13
526√13√
Answers
Answer:
26√13
Step-by-step explanation:
The mode of 3 numbers is 6 and the
range is 4. Write down a possible set of
numbers.
Answers
Answer:
solution,
mode of 3 numbers is 6
range is 4
possible set of numbers are
{3,4,6,{} }
In June, an investor purchased 300 shares of Oracle (an information technology company) stock at $53 per share. In August, she purchased an additional 400 shares at $42 per share. In November, she purchased an additional 400 shares at $45. What is the weighted mean price per share? (Round your answer to 2 decimal places.)
Answers
Answer: The mean price per share is $22.91
The required weighted mean price per share is $46.09.
Given that,
In June, an investor purchased 300 shares of Oracle (an information technology company) stock at $53 per share. In August, she purchased an additional 400 shares at $42 per share. In November, she purchased an additional 400 shares at $45.
To determine the weighted mean price per share.
The average of the values is the ratio of the total sum of values to the number of values.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Required weight mean = 300 * 53 + 400*42 + 400 * 42 / [300 + 400 + 400]
Required weight mean = 50700/ [1100]
Required weight mean = $46.09 per share.
Thus, the required weighted mean price per share is $46.09.
Learn more about mean here:
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is 2012 a term of arithmetic sequence of 5,13,18
Answers
for the given A.P
5,9,13,...
First term (a)=5
common difference (d) = 9-5=4
Let Tn=2012
a +(n-1) d=2012
5 +(n-1) 4=2012
(n-1) 4=2012-5
(n-1)4=2007
n-1=501.75
n=1+501.75
n=502.75 -- - - - - -> which is not possible.
No.of terms can never in fraction.
Hence, 2012 is not a term of given A.P
Answer theas question
Answers
(1) Both equations in (a) and (b) are separable.
(a)
[tex]\dfrac xy y' = \dfrac{2y^2+1}{x+1} \implies \dfrac{\mathrm dy}{y(2y^2+1)} = \dfrac{\mathrm dx}{x(x+1)}[/tex]
Expand both sides into partial fractions.
[tex]\left(\dfrac1y - \dfrac{2y}{2y^2+1}\right)\,\mathrm dy = \left(\dfrac1x - \dfrac1{x+1}\right)\,\mathrm dx[/tex]
Integrate both sides:
[tex]\ln|y| - \dfrac12 \ln\left(2y^2+1\right) = \ln|x| - \ln|x+1| + C[/tex]
[tex]\ln\left|\dfrac y{\sqrt{2y^2+1}}\right| = \ln\left|\dfrac x{x+1}\right| + C[/tex]
[tex]\dfrac y{\sqrt{2y^2+1}} = \dfrac{Cx}{x+1}[/tex]
[tex]\boxed{\dfrac{y^2}{2y^2+1} = \dfrac{Cx^2}{(x+1)^2}}[/tex]
(You could solve for y explicitly, but that's just more work.)
(b)
[tex]e^{x+y}y' = 3x \implies e^y\,\mathrm dy = 3xe^{-x}\,\mathrm dx[/tex]
Integrate both sides:
[tex]e^y = -3e^{-x}(x+1) + C[/tex]
[tex]\ln(e^y) = \ln\left(C - 3e^{-x}(x+1)\right)[/tex]
[tex]\boxed{y = \ln\left(C - 3e^{-x}(x+1)\right)}[/tex]
(2)
(a)
[tex]y' + \sec(x)y = \cos(x)[/tex]
Multiply both sides by an integrating factor, sec(x) + tan(x) :
[tex](\sec(x)+\tan(x))y' + \sec(x) (\sec(x) + \tan(x)) y = \cos(x) (\sec(x) + \tan(x))[/tex]
[tex](\sec(x)+\tan(x))y' + (\sec^2(x) + \sec(x)\tan(x)) y = 1 + \sin(x)[/tex]
[tex]\bigg((\sec(x)+\tan(x))y\bigg)' = 1 + \sin(x)[/tex]
Integrate both sides and solve for y :
[tex](\sec(x)+\tan(x))y = x - \cos(x) + C[/tex]
[tex]y=\dfrac{x-\cos(x) + C}{\sec(x) + \tan(x)}[/tex]
[tex]\boxed{y=\dfrac{(x+C)\cos(x) - \cos^2(x)}{1+\sin(x)}}[/tex]
(b)
[tex]y' + y = \dfrac{e^x-e^{-x}}2[/tex]
(Note that the right side is also written as sinh(x).)
Multiply both sides by e ˣ :
[tex]e^x y' + e^x y = \dfrac{e^{2x}-1}2[/tex]
[tex]\left(e^xy\right)' = \dfrac{e^{2x}-1}2[/tex]
Integrate both sides and solve for y :
[tex]e^xy = \dfrac{e^{2x}-2x}4 + C[/tex]
[tex]\boxed{y=\dfrac{e^x-2xe^{-x}}4 + Ce^{-x}}[/tex]
(c) I've covered this in an earlier question of yours.
(d)
[tex]y'=\dfrac y{x+y}[/tex]
Multiply through the right side by x/x :
[tex]y' = \dfrac{\dfrac yx}{1+\dfrac yx}[/tex]
Substitute y(x) = x v(x), so that y' = xv' + v, and the DE becomes separable:
[tex]xv' + v = \dfrac{v}{1+v}[/tex]
[tex]xv' = -\dfrac{v^2}{1+v}[/tex]
[tex]\dfrac{1+v}{v^2}\,\mathrm dv = -\dfrac{\mathrm dx}x[/tex]
[tex]-\dfrac1v + \ln|v| = -\ln|x| + C[/tex]
[tex]\ln\left|\dfrac yx\right| -\dfrac xy = C - \ln|x|[/tex]
[tex]\ln|y| - \ln|x| -\dfrac xy = C - \ln|x|[/tex]
[tex]\boxed{\ln|y| -\dfrac xy = C}[/tex]
Weights measured in grams of randomly selected M&M plain candies:
0.957 0.912 0.925 0.886 0.920 0.958 0.915 0.914 0.947 0.939 0.842
What is the range of weights of the middle 99.7% of M&M’s?
(round to the ten thousandths place)
Answers
Answer:
The range of weights of the middle 99.7% of M&M’s is between 0.8187 and 1.0203.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Sample mean:
[tex]\overline{x} = \frac{0.957 + 0.912 + 0.925 + 0.886 + 0.920 + 0.958 + 0.915 + 0.914 + 0.947 + 0.939 + 0.842}{11} = 0.9195[/tex]
Sample standard deviation:
[tex]s = \sqrt{\frac{(0.957-0.9195)^2 + (0.912-0.9195)^2 + (0.925-0.9195)^2 + (0.886-0.9195)^2 + ...}{10}} = 0.0336[/tex]
What is the range of weights of the middle 99.7% of M&M’s?
By the Empirical Rule, within 3 standard deviations of the mean, so:
0.9195 - 3*0.0336 = 0.8187.
0.9195 + 3*0.0336 = 1.0203.
The range of weights of the middle 99.7% of M&M’s is between 0.8187 and 1.0203.
if the two linear functions are represented two different forms the _____ is used to compare the steepness of the two functions>
Answers
Answer:
Slope
Step-by-step explanation:
Given
The above statement
Required
What compares the steep of linear functions
Literally, steepness means slope.
So, when the slope of the two linear functions are calculated, we can make comparison between the calculated slopes to determine which of the functions is steeper or less steep.
Also:
Higher slope means steeper line
e.g.
4 is steeper than 1
Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y=2/3x - 2
Answers
Answer: The image shown in your question as well as the one I provided is the correct answer
Step-by-step explanation:
a line with a slope of 2/3 must mean that the "m" is 2/3
y = mx + b
y = 2/3x + b
The question calls for the y-intercept to be equal to that of y=2/3x - 2
using the given equation, we easily figure out -2 is the y-intercept
so the line must go through (0,-2).
A line contains the points R (-1, 8) S (1, 4) and T (6, y). Solve for y. Be sure to show and explain all work.
Answers
Given:
A line contains the points R(-1, 8), S(1, 4) and T(6, y).
To find:
The value of y.
Solution:
Three points are collinear if:
[tex]x_1(y_2-y_3)+x_2(y_3-y_2)+x_3(y_1-y_2)=0[/tex]
A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.
[tex]-1(4-y)+1(y-8)+6(8-4)=0[/tex]
[tex]-4+y+y-8+48-24=0[/tex]
[tex]2y+12=0[/tex]
Subtract 12 from both sides.
[tex]2y=-12[/tex]
Divide both sides by 2.
[tex]y=\dfrac{-12}{2}[/tex]
[tex]y=-6[/tex]
Therefore, the value of y is -6.
Answer: The guy above me is right
Step-by-step explanation: I took the test and got it right
In a game where only one player can win, the probability that Jack will win is 1/7 and the probability that Bill will win is 1/2. Find the probability that one of them will win. (Enter your probability as a fraction.)
Answers
The probability that one of them will win will be 9/14.
Since the probability that Jack will win is 1/7 and the probability that Bill will win is 1/2, then the probability that one of them will win will be:
= 1/7 + 1/2
= 7/14 + 2/14
= 9/14
Therefore, the probability that one of them will win will be 9/14.
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I need help solving a problem, can u help me ?
Answers
A^2+b^2=c^2
12^2 +b^2= 13^2
144+b^2 =169
169-144=25
square root 25 is 5
The the intensity I of light (in lumens) in a certain lake at a depth of x feet is given by log(1/12) = -0.00235x. What is the intensity of the light (in lumens) at a depth of 20 feet? Round your answer to the nearest hundredth and label 1 your answer.
Answers
Answer:
11.45 lumens
Step-by-step explanation:
We are given that
[tex]log(I/12)=-0.00235x[/tex]
Where x=Depth
I=Intensity of light
We have to find the intensity of the light at a depth of 20 feet.
Substitute the value of x
[tex]log(I/12)=-0.00235\times 20[/tex]
[tex]log(I/12)=-0.047[/tex]
[tex]\frac{I}{12}=e^{-0.047}[/tex]
[tex]I=12e^{-0.047}[/tex]
[tex]I=11.45 Lumens[/tex]
Hence, the intensity of the light (in lumens) at a depth of 20 feet=11.45 lumens
Which point is a solution to y equal greater than or less too
4x + 5?
Answers
Answer:
4x+ 4
Step-by-step explanation:
Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.ophelia needs to make a small batch of sauce using only 20 ounces of tomato paste how many cups of water will she need.show your work
Answers
Answer:
1 cup per 8 oz
48/6 = 8
every 1 cup of water 8 oz of tomato paste.
Step-by-step explanation:
can i brainlist
Fraces bonitas para decirle a tu nv?
minimo 6
Answers
Answer:
it's. is now the MA plz I miss you
si pudiera escoger entre vivir eternamente y vivir dos veces
yo escogeria vivir dos veces porque vivir una vida eterna sin ti a mi lado seria el mayor sufrimiento, ahora vivir dos veces me dejaria tranquilo porque despues del final de mi vida podria volver a encontrarme contigo y vivir todos los momentos bellos una vez mas y eso seria un sueño volviendose realidad
Tara created a 1 inch cube out of paper.
1 in
If she doubles the volume of her cube, which statement could be true?
A Tara added two inches to the height, length and width of the cube.
B Tara added two inches to the height of the cube.
C Tara doubled the measurements of the cube's height, length and width.
D Tara doubled the measurement of the cube's height.
Answers
Answer:
answer D
Step-by-step explanation:
V=L*W*H=1 ==> L=1,W=1,H=1
A:
L-> L+2=1+2=3
W -> W+2 = 1+2=3
H -> H+2=1+2=3
V=3*3*3=27 not the doubled of the volume's cube
A is false
B:
H -> H+2=1+2=3
V=1*1*3=3 not the doubled of the volume's cube
B is false
C:
H -> 2*H=2*1=2
L -> 2*L=2*1=2
W -> 2*W = 2*1=2
V=2*2*2=8 not the doubled of the volume's cube
C is false
D:
H-> H*2=1*2=2
L=1
W=1
V=1*1*2=2 is the doubled of the volume's cube
D is true
Question 4 of 10
If A = (-1,-3) and B = (11,-8), what is the length of AB?
A. 12 units
B. 11 units
C. 14 units
D. 13 units
SUBMIT
Answers
Step-by-step explanation:
AB = square root of [(xA-xB)^2+(yA-yB)^2]
AB=Squarerootof(-1-11)^2 +(-3-(-8))^2=Squarerootof(-12)^2+(5)^2)
AB=Squarerootof((144)+25)= Squarerootof(169)=13 the answer is 13 units
The choice D is the right one
Which of these is an example of a continuous random variable?
A. Number of flights leaving an airport
B. Pieces of mail in your mailbox
C. Attendance at a sporting event
D. Time to run a race
Answers
Answer:
continues means that can be written in decimal like weight,height, distance(5.44km)
I think its D. is time decimal? Gods plan.
Which expression is equivalent to 3(x - y) + y? 3x - 4y 3x - 3y 3x - 2y 3(x - 2y)
Answers
9514 1404 393
Answer:
(c) 3x - 2y
Step-by-step explanation:
Use the distributive property to eliminate parentheses, then collect terms.
3(x -y) +y = 3x -3y +y = 3x +(-3+1)y = 3x -2y
Now we have to find,
The expression which is equivalent to,
→ 3(x - y) + y
Let's get the solution,
→ 3(x - y) + y
→ 3x - 3y + y
→ 3x - 2y
Hence, required expression is 3x - 2y.
Which of the following is a solution to 2sin2x+sinx-1=0?
Answers
Answer:
270 degrees
Step-by-step explanation:
If you plug in 270 in place of the x's, the function is true!
This is correct for Plate/Edmentum users!! Hope I could help :)
The length of a rectangle is 19 centimeters less than its width. Its area is 20 square centimeters. Find the dimensions of the rectangle. Use the formula, area =length*width.
Answers
Answer:
width =20
length = 1
Step-by-step explanation:
length = w - 19
A = l*w
20 = (w-19) * w
20 = w^2 - 19w
Subtract 20 from each side
0 = w^2 - 19w - 20
Factor
0 = (w+1)(w-20)
Using the zero product property
w+1 = 0 w-20 = 0
w = -1 w=20
Widths cannot be negative
w=20
l = 20-19 = 1
