Answer:
f(x) has two imaginary roots and one real root.
Step-by-step explanation:
Complex roots:
I a complex number [tex]a + bi[/tex] is a root of a polynomial, it's conjugate [tex]a - bi[/tex] is also a root.
One root of a third degree polynomial function f(x) is -5 + 2i.
This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.
Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:
f(x) has two imaginary roots and one real root.
Answer:
B!
Step-by-step explanation:
just did it
How is the graph of
y=-3(5)*-
- 3 translated from the graph of y=
=30594?
A. reflected across the y-axis and 3 units down
B. reflected across the x-axis and 3 units down
C. reflected across the x-axis and 3 units left
D. reflected across the y-axis and 3 units right
Answer:
Purplemath
Introduces reflections in the x- and y-axes. ... To see how this works, take a look at the graph of h(x) = x2 + 2x – 3. ... The previous reflection was a reflection in the x-axis. ... f (x – b) shifts the function b units to the right.
Hello!
i need help with question 67 & 68
Answer:
67. A
68. D
Step-by-step explanation:
I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!
PLEASE HELP!!! What is the equation of the line perpendicular to 2x – 3y = 13 that passes through the point (–6, 5)?
Answer:
2x + 3y -3=0
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies 2x - 3y = 13 [/tex]
Now convert it into slope intercept form to get the slope , we get ,
[tex]\implies 3y = 2x - 13 \\\\\implies y =\dfrac{2}{3}x -\dfrac{13}{2}[/tex]
Therefore the slope is ,
[tex]\implies m = \dfrac{2}{3} [/tex]
We know that the product of slope of perpendicular lines is -1 . Therefore the slope of the perpendicular line will be ,
[tex]\implies m_{perpendicular}= -\dfrac{2}{3} [/tex]
Now one of the point is (-6,5) .On Using point slope form , we have ,
[tex]\implies y-y_1 = m( x - x_1) \\\\\implies y - 5 = -\dfrac{2}{3}( x + 6 ) \\\\\implies 3y - 15 = -2x -12
\\\\\implies 2x + 3y -15+12=0 \\\\\implies \underline{\underline{ 2x + 3y -3=0 }}[/tex]
Answer:
y = - [tex]\frac{3}{2}[/tex]x - 4
Step-by-step explanation:
2x – 3y = 13
3y = 2x + 13
y = [tex]\frac{2}{3}[/tex]x + [tex]\frac{13}{3}[/tex]
slope = 2/3
negative reciprocal = -3/2
y = -3/2x + b
(-6, 5)
5 = (-3/2)(-6) + b
5 = 9 + b
b = -4
y = -3/2x - 4
..................................................................
Answer:
Hello?
Step-by-step explanation:
Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive.
Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118
Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126
1. What is the alternative hypothesis for this study?
i. Worker productivity is higher with automatic dispensers.
ii. Automatic dispensers fill cups faster than manual dispensers.
iii. Worker productivity is lower with automatic dispensers.
iv. There is no difference in worker productivity between restaurants with automatic and manual dispensers.
2. What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal).
3. When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4 decimal places)
4. What can be concluded from this study at a 1% significance level?
Answer:
ii
Step-by-step explanation:
you have to look and read it it comes simple
Which choice correctly shows the line y = -x?
А
B
NOW
-
1 2 3 4
NH
-4 -3 -2 -1 1 2 3 4
UN
С
2
1 2 3 4
-4-3-2/4 1 2 3 4
-4 -3 -2 -3
NA
2
At
2
Answer:
The answer is A
Step-by-step explanation:
Hope this helps
In the diagram, WZ=StartRoot 26 EndRoot.
On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1).
What is the perimeter of parallelogram WXYZ?
units
units
units
units
Answer:
[tex]P = 8 + 2\sqrt{26}[/tex]
Step-by-step explanation:
Given
[tex]W = (-2, 4)[/tex]
[tex]X = (2, 4)[/tex]
[tex]Y = (1, -1)[/tex]
[tex]Z = (-3,-1)[/tex]
Required
The perimeter
First, calculate the distance between each point using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2[/tex]
So, we have:
[tex]WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4[/tex]
[tex]XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}[/tex]
[tex]YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4[/tex]
[tex]ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}[/tex]
So, the perimeter (P) is:
[tex]P = 4 + \sqrt{26} + 4 + \sqrt{26}[/tex]
[tex]P = 8 + 2\sqrt{26}[/tex]
Answer:
its D.
Step-by-step explanation:
took test
Q.1 Determine whether y = (c - e ^ x)/(2x); y^ prime =- 2y+e^ x 2x is a solution for the differential equation Q.2 Solve the Initial value problem ln(y ^ x) * (dy)/(dx) = 3x ^ 2 * y given y(2) = e ^ 3 . Q.3 Find the general solution for the given differential equation. (dy)/(dx) = (2x - y)/(x - 2y)
(Q.1)
[tex]y = \dfrac{C - e^x}{2x} \implies y' = \dfrac{-2xe^x-2C+2e^x}{4x^2} = \dfrac{-xe^x-C+e^x}{2x^2}[/tex]
Then substituting into the DE gives
[tex]\dfrac{-xe^x-C+e^x}{2x^2} = -\dfrac{2\left(\dfrac{C-e^x}{2x}\right) + e^x}{2x}[/tex]
[tex]\dfrac{-xe^x-C+e^x}{2x^2} = -\dfrac{C-e^x + xe^x}{2x^2}[/tex]
[tex]\dfrac{-xe^x-C+e^x}{2x^2} = \dfrac{-C+e^x - xe^x}{2x^2}[/tex]
and both sides match, so y is indeed a valid solution.
(Q.2)
[tex]\ln\left(y^x\right)\dfrac{\mathrm dy}{\mathrm dx} = 3x^2y[/tex]
This DE is separable, since you can write [tex]\ln\left(y^x\right)=x\ln(y)[/tex]. So you have
[tex]x\ln(y)\dfrac{\mathrm dy}{\mathrm dx} = 3x^2y[/tex]
[tex]\dfrac{\ln(y)}y\,\mathrm dy = 3x\,\mathrm dx[/tex]
Integrate both sides (on the left, the numerator suggests a substitution):
[tex]\dfrac12 \ln^2(y) = \dfrac32 x^2 + C[/tex]
Given y (2) = e ³, we find
[tex]\dfrac12 \ln^2(e^3) = 6 + C[/tex]
[tex]C = \dfrac12 \times3^2 - 6 = -\dfrac32[/tex]
so that the particular solution is
[tex]\dfrac12 \ln^2(y) = \dfrac32 x^2 - \dfrac32[/tex]
[tex]\ln(y) = \pm\sqrt{3x^2 - 3}[/tex]
[tex]\boxed{y = e^{\pm\sqrt{3x^2-3}}}[/tex]
(Q.3) I believe I've already covered in another question you posted.
Use a Maclaurin series to obtain the Maclaurin series for the given function.
f(x)= 14x cos(1/15x^2)
Answer:
[tex]14x cos(\frac{1}{15}x^{2})=14 \sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{4k+1}}{(2k)!15^{2k}}[/tex]
Step-by-step explanation:
In order to find this Maclaurin series, we can start by using a known Maclaurin series and modify it according to our function. A pretty regular Maclaurin series is the cos series, where:
[tex]cos(x)=\sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{2k}}{(2k)!}[/tex]
So all we need to do is include the additional modifications to the series, for example, the angle of our current function is: [tex]\frac{1}{15}x^{2}[/tex] so for
[tex]cos(\frac{1}{15}x^{2})[/tex]
the modified series will look like this:
[tex]cos(\frac{1}{15}x^{2})=\sum _{k=0} ^{\infty} \frac{(-1)^{k}(\frac{1}{15}x^{2})^{2k}}{(2k)!}[/tex]
So we can use some algebra to simplify the series:
[tex]cos(\frac{1}{15}x^{2})=\sum _{k=0} ^{\infty} \frac{(-1)^{k}(\frac{1}{15^{2k}}x^{4k})}{(2k)!}[/tex]
which can be rewritten like this:
[tex]cos(\frac{1}{15}x^{2})=\sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{4k}}{(2k)!15^{2k}}[/tex]
So finally, we can multiply a 14x to the series so we get:
[tex]14xcos(\frac{1}{15}x^{2})=14x\sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{4k}}{(2k)!15^{2k}}[/tex]
We can input the x into the series by using power rules so we get:
[tex]14xcos(\frac{1}{15}x^{2})=14\sum _{k=0} ^{\infty} \frac{(-1)^{k}x^{4k+1}}{(2k)!15^{2k}}[/tex]
And that will be our answer.
If f(x) = 3 - 4x, find f(1+a)
I am in the need of assistance thank you !
Step-by-step explanation:
f(x) = 3 - 4x
f(1+a)= 3-4(1+a)
=3-4+4a
=4a-1
you count after 2. What is the number?
4. When this 3-digit number is rounded to the
nearest hundred, it rounds to 200. Rounded
to the nearest ten, this number rounds to
200. The sum of the digits of this number
is 19. What is the number?
Answer:
I think the answer is 100 because nothing greater than 200 if its rounded hope this helped if not sorry
Complete this sentence: The longest side of a triangle is always opposite the
• A. angle with the smallest measure
O B. angle with the greatest measure
O C. shortest side
D. second-longest side
Answer:
B. angle with the greatest measure
opposite the largest angle
How do you graph this helppp and explain
Answer:
bottom graph
Step-by-step explanation:
f(x) = |3q-6|
because you have absolute value there are 2 possibilities
y= +(3q-6) and y= -(3q-6)
to find where the graph intersects the x-axis make y=0 because there the y coordinate is 0, so we have...
3q-6 =0 and -3q+6 =0
3q= 6 and -3q =-6
q=2 and q=2
the bottom graph has the intersection with x-axis only at 2, so is the correct one
9514 1404 393
Answer:
bottom graph shown
Step-by-step explanation:
It can be helpful to rearrange the equation to either of the equivalent forms ...
f(x) = |3(x -2)|
or ...
f(x) = 3|x -2|
_____
The first of these forms represents a horizontal compression of the absolute value function by a factor of 3, then a right-shift by 2 units. This matches the bottom graph shown.
__
The second of these forms represents a horizontal right-shift by 2 units, and a vertical expansion by a factor of 3. This matches the bottom graph shown.
__
The attached graph shows the function given here along with the absolute value parent function.
_____
Additional comment
The transformations we're usually interested in are ...
g(x) = k·f(x) . . . . vertically scaled (stretched) by a factor of k
g(x) = f(kx) . . . . .horizontally compressed by a factor of k
g(x) = f(x) +k . . . shifted up by k units
g(x) = f(x -k) . . . . shifted right by k units
In many cases, as here, horizontal scaling and vertical scaling are indistinguishable as to which caused a given effect.
Kevin will start with the integers 1, 2, 3 and 4 each used exactly once and written in a row in any order. Then he will find the sum of the adjacent pairs of integers in each row to make a new row, until one integer is left. For example, if he starts with 3, 2, 1, 4, then he takes sums to get 5, 3, 5, followed by 8, 8, and he ends with the final sum 16. Including all of Kevin's possible starting arrangements of the integers 1, 2, 3 and 4, how many possible final sums are there?
Hello,
there are 5 differents sums:
16,18,20,22,24.
-------------------------------------------------------
Dim i As Integer, j As Integer, k As Integer, l As Integer, u As Integer, v As Integer, nb As Integer
Dim mat(4, 4) As Integer
nb = 0
For i = 1 To 4
For j = 1 To 4
If j <> i Then
For k = 1 To 4
If k <> j And k <> i Then
l = 10 - k - j - i
If l > 0 And l < 5 And l <> i And l <> j And l <> k Then
mat(1, 1) = i
mat(1, 2) = j
mat(1, 3) = k
mat(1, 4) = l
For u = 2 To 4
For v = 1 To 4 - u + 1
mat(u, v) = mat(u - 1, v) + mat(u - 1, v + 1)
Next v
Next u
'Call visu(mat())
nb = nb + 1
Print nb,
mat(4, 1)
End If
End If
Next k
End If
Next j
Next i
End
Sub visu (m() As Integer)
Dim i As Integer, j As Integer
For i = 1 To 4
For j = 1 To 4 - i + 1
Print m(i, j);
Next j
Next i
End Sub
Identify the domain of the table of values shown
Answer:
{-6,0,2,4}
Step-by-step explanation:
Mac is about to sue his contractor who promised to install a water tank that holds 260 gallons of water. Mac knows that 260 gallons is the capacity of a tank that
holds 35 cubic feet. The cylindrical tank has a radius of 2 feet and height of 2 feet 6 inches. Does the evidence indicate Mac can win the case against the contractor
if it goes to court
Does the evidence indicate Mac can win the case against the contractor if it goes to court?
Please hello :)
Answer:
Yes
Step-by-step explanation:
volume of cylinder = πr²h
volume = (3.14)(2 ft)²(2.5 ft)
volume = 31.4 ft³
The volume of the cylinder that was built is 31.4 ft³. It should have been 35 ft³. The evidence helps Mac in court.
Evaluate the given expression for x=7.
8x +9
The answer is ---
Answer:
The answer is 65
Step-by-step explanation:
Evaluate:
8x + 9
When x = 7
Use PEMDAS order of operations:
8x + 9
= 8(7) + 9
= 56 + 9
= 65
Hope this helps
Jane has earned a 91, 85, and 84 on her first three quizzes of the semester. If she hopes to have an A quiz average (90 or above), what is the lowest score Jane can make on her fourth and final quiz?
She cannot earn an A quiz average*****
100
97
95
Answer:
100
Step-by-step explanation:
CalculationLet mark to be scored in fourth =x
but since the total will be more or above we will have the sign
[tex] \geqslant [/tex]
[tex]91 + 85 + 84 + x \div 4 \geqslant 90[/tex]
[tex]260 + x \div 4 \geqslant 90[/tex]
L.c.m =4 ( cross multiplying)
260+xtex 90*4
260+xtex 360
x tex 360-260
x tex 100
The value of the lowest score Jane can make on her fourth and final quiz is, 100
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
Jane has earned a 91, 85, and 84 on her first three quizzes of the semester.
And, she hopes to have an A quiz average (90 or above).
Let us assume that;
her fourth and final quiz = x
Hence, We get;
(91 + 85 + 84 + x) / 4 = 90
260 + x = 360
x = 360 - 260
x = 100
Thus, the lowest score Jane can make on her fourth and final quiz is,
x = 100
Learn more about the addition visit:
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is this right? PLEASE HELP ILL MARK
Answer:
yeah u r correct...hope it helps ..stay safe healthy and happy.A decorative wall in a garden is to be built using bricks that are 5 1/2 inches thick and mortar joints are 1/4 inch thick. What is the height of the wall?
Step-by-step explanation:
how many layers of bricks are used ?
also, I assume, the thickness of bricks means actually their height when laid.
but still, I cannot answer that, as nothing indicates if there is only one layer of bricks or 2 or 3 or 4 or ...
If a person high jumps 6 feet 2 inches, how many inches is the jump?
Answer:
74 inches
Step-by-step explanation:
1 foot is 12 inches, so 6 x 12 = 72, and just add the other 2 inches to get 74 inches.
Answer:
74 inches.
Step-by-step explanation:
Each foot has 12 inches, so multiply 6 by 12 to get 72 inches. Then add the remaining two inches to get a total of 74 inches.
How many different simple random samples of size 4 from a population size 46
This is one single number. The number is slightly larger than 163 thousand.
====================================================
Explanation:
Consider four slots labeled A,B,C,D
We have....
46 choices for slot A45 choices for slot B44 choices for slot C43 choices for slot DThere's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.
If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.
However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185
This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.
give me answer please don't skip
If a^2+b^2 = 58 and a-b = 4 then what is the value of ab
Answer:
ab = 21
Step-by-step explanation:
[tex](a - b)^2 = (a^2 + b^2 ) - 2ab\\\\4^2 = 58 - 2ab\\\\16 - 58 = - 2ab\\\\- 42 = - 2ab\\\\ab = \frac{-42}{-2} = 21[/tex]
Step-by-step explanation:
Th value of ab is 21
Explanation is in the attachment
hope it is helpful to you ☺️
thank you for giving me a chance to answer your question
The police department in Madison, Connecticut, released the following numbers of calls for the different days of the week during a February that had 28 days: Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130). Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. Is there anything notable about the observed frequencies
Answer:
different days of the week Do not have the same frequency.
Step-by-step explanation:
Given the data:
Observed values :
Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130).
H0 : frequency are the same
H1 : frequency is not the same
Expected value is the same for all days:
Σ (observed values) * 1/ n
n = number of days in a week. = 7
Expected value = (114+152+160+164+179+196+130) / 7 = 156.428
χ² = Σ (observed - Expected)²/Expected
χ² = (11.508 + 0.125 + 0.082 + 0.366 + 3.257 + 10.01 + 4.465)
χ² = 29.813
The Pvalue(29.813, 6) ;
df = 7 - 1 = 6
The Pvalue(29.813, 6) = 0.000043
α = 0.01
Since, Pvalue < α ; Reject H0 ; and conclude that, different days of the week Do not have the same frequency.
What is the midpoint of the segment shown below?
10
A. (5,-4)
(16,5)
B. (10,-4)
C. (10,-2)
10
15
(-6.-9)
D. (5,-2)
Answer:
D
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Bond is 20 years older than Jude and 10 years older than John. If the sum of the ages of Bond,Jude and John is 90,how old is Bond?
Answer:
hey hi mate
Ur answer is
bond 40John 20Jude 30Step-by-step explanation:
u have to think
hope u like it
plz mark it as brainliest
tiene 40 años de edad
bond 40
jude 20
joh 30
40+20+30 = 90
if the smaller side of a rectangle was increased by 7 cm, it would be exactly 55% of the 110 cm longer side. Find the area of the rectangle
Answer:
5886 cm
Step-by-step explanation:
start by finding 55% of 110 which is 60.5. then subtract by 7 and then you get 53.5
then multiply 53.5 by 110 = 5885 cm
which of the following function shows the absolute value parent function FX=lxl shifted up
Answer:
The answer is C.
as for C . the value of f(x) increases by 7 and so the graph goes up by units 7.
OR
g(x) = |x| + 7
we know that |x| is f(x), so :-
g(x) = f(x) + 7
and since f(x) is plot on y- axis the graph climbs the y axis by 7 units
*The graph shifts right or left for the other functions*
A grinding stone completes 175 revolutions before coming to a stop. How many radians did the stone complete
Answer:
175 * 2 * [tex]\pi[/tex]
350[tex]\pi[/tex] radians
Step-by-step explanation:
The number of radians completed by the stone will be 350 radians.
What is an angle in radians?The angle subtended from a circle's centre that intercepts an arc with a length equal to the circle's radius is known as a radian.
Given that a grinding stone completes 175 revolutions before coming to a stop.
The number of the revolutions in radians will be calculated as:-
Multiply the number by 2π to convert it into the radians.
Number of revolutions = 175 x 2 x π
Number of revolutions = 350 radians
Therefore, the number of radians completed by the stone will be 350 radians.
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Marla scored 70% on her last unit exam in her statistics class. When Marla took the SAT exam, she scored at the 70th percentile in mathematics. Explain the difference in these two scores.
Answer:
The difference is that Marla's exam in her statistics class was graded by percent of correct answers, in her case 70%, while the SAT is graded into a curve, taking other students' grades also into account, and since she scored in the 70th percentile, Marla scored better than 70% of the students.
Step-by-step explanation:
Marla scored 70% on her last unit exam in her statistics class.
This means that in her statistics class, Marla got 70% of her test correct.
When Marla took the SAT exam, she scored at the 70th percentile in mathematics.
This means that on the SAT exam, graded on a curve, Marla scored better than 70% of the students.
Explain the difference in these two scores.
The difference is that Marla's exam in her statistics class was graded by percent of correct answers, in her case 70%, while the SAT is graded into a curve, taking other students' grades also into account, and since she scored in the 70th percentile, Marla scored better than 70% of the students.