Answers
Answer: [tex]\pm1,\pm3,\pm5, \pm15[/tex]
Step-by-step explanation:
We can list the possible rational roots of this polynomial using the Rational Root Theorem. This theorem states that all the possible rational roots of an equation follow the structure [tex]\frac{p}{q}[/tex], where p is any of the factors of the constant term and q is any of the factors of the leading coefficient.
In this example, -15 is the constant term and 1 is the leading coefficient ([tex]x^4[/tex] has a coefficient of 1).
The factors of -15 are [tex]\pm1,\pm3,\pm5, \pm15[/tex], while the factors of 1 are [tex]\pm1[/tex]. p is can be any one of the factors of -15, while q can be any of the factors of 1.
[tex]\frac{\pm1,\pm3,\pm5, \pm15}{\pm1}[/tex]
The possible roots can be any of the numbers on the top divided by any of the numbers on the bottom. Since dividing by 1 or -1 won't change any of the numbers on the top, the rational roots of this function are [tex]\pm1,\pm3,\pm5, \pm15[/tex].
Related Questions
Find the difference between 0.84 and 17.1. (a) Give your answer as a mixed number in its simplest form. (b) Divide your answer by 9 and give your answer correct to 2 decimal places.
Answers
Answer:
in case you don't understand feel free to ask bye.
Will mark brainliest
Answers
The plot of [tex]\sqrt{25-x^2}[/tex] is that of the top half of a circle with radius 5. The interval [-5, 0] captures the left half of this semicircle.
Adding 5 to this shifts the plot up by 5 units. The area under this curve is then the combined area of a square with side length 5 and the area of a quarter circle with radius 5.
So we have
[tex]\displaystyle \int_{-5}^0 5 + \sqrt{25-x^2} \, dx = 5^2 + \frac\pi4\cdot5^2 = \boxed{25 + \frac{25\pi}4}[/tex]
please help, I have been on this question for a while. Lotta yummy PTS
Answers
Answer:
[tex]y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3[/tex]
Step-by-step explanation:
Given equation:
[tex]y=\left|\dfrac{1}{2}x-2\right|+3[/tex]
Translation
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
When translating a graph to the right, subtract the number of units from the x variable.
Translating the given graph one unit to the right:
[tex]f(x-1) \implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3[/tex]
Simplifying:
[tex]\implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3[/tex]
[tex]\implies y=\left|\dfrac{1}{2}x-\dfrac{1}{2}-2\right|+3[/tex]
[tex]\implies y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3[/tex]
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Find the standard form of the equation whose graph is the line through (1, -2) and (-5, 6).
Answers
The standard form of the equation whose graph is the line through (1, -2) and (-5, 6) is 3y = -4x -2.
According to the question,
The standard form of the equation whose graph is the line through (1, -2) and (-5, 6). Now first to find slope of the equation using below formula,
Slope of the equation (m)= (change in y axis) / (change in x axis)
= (6- (-2))/(-5 - 1)
= 8/-6
=-(4/3)
Slope of the equation (m) = -4/3. whose graph is the line through (1, -2) and (-5, 6).Formula to find Standard form of the equation is y = mx + c.
-2 = -(4/3) 1 + c
c = -2 +(4/3)
c = -2/3
The standard form of the equation whose graph is the line through (1, -2) and (-5, 6) is 3y = -4x -2. y = -(4/3)x -(2/3).
⇒ 3y = -4x -2.
Hence, the standard form of the equation whose graph is the line through (1, -2) and (-5, 6) is 3y = -4x -2.
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solve this equations 3x+4x-8=6(x-3)+x
Answers
Answer:
no solutions
Step-by-step explanation:
Between which two integers is the value of √11?
9 and 10
5 and 6
7 and 8
O3 and 4
1 and 2
Answers
The square root of 11 is ?
The square root of 16 is 4
Between 3 and 4
Nereo and Azeneth start recording video at the same time. Nereo's phone starts with 1,000 megabytes
(MB) of free space and uses 7 MB of space per second of video.
Azeneth's phone has 1,255 MB of free space and uses 10 MB of space per second of video.
How much free space will they have when they first have the same amount of space left?
Answers
Nereo: y = -7x + 1000
Azeneth: y = -10x + 1255
Set equal and solve
-7x + 1000 = -10x + 1255
3x + 1000 = 1255
3x = 255
x = 85 seconds
Plug back in to find space left
-7(85) + 1000 = -10(85) + 1255
-595 + 1000 = -850 + 1255
405 = 405 MB
can I return notebooks to target?
Answers
Answer: yes, as long as you haven't used them. :)
Step-by-step explanation:
Complete the table of inputs and outputs for the function.
f(x) = -5(x + 7)
X
-9
01
0
f(x)
0
-60
Answers
Answer:
10, -7, -35, 5
Step-by-step explanation:
f(9) = -5(-9 + 7) = 10
0 = -5(x + 7)
0 = x + 7
x = -7
f(0) = -5(0 + 7) = -35
-60 = -5(x + 7)
12 = x + 7
x = 5
A spinner is labeled with the numbers 1,2,3,4,5,6,7,8, & 9.
Calculate the:
a. odds of spinning a 3
b. odds of not spinning a 9
c. odds of spinning an even number
d. odds of spinning a number less than 6
Answers
Answer:
Step-by-step explanation:
d
A man can take a same time to row 13km downstream and 7km upstream.His speed in still water is 5km/hr.The speed of stream is
Answers
Answer:
0.6 km/hr
Step-by-step explanation:
Speed downstream: 13/5= 2.6 km/hr
Speed upstream: 7/5= 1.4 km/hr
Therefore, Velocity of current is: 1/2 (2.6-1.4) km/hr = 1/2(1.2) km/hr
In the parallelogram below,
y = [? ]°
2
Z
1240
33%
Answers
Answer:
y = 33
Step-by-step explanation:
Angle y and 33 are alternate interior angles since the figure is a parallelogram and alternate interior angles are equal
y = 33
Answer:
y = 33°
Step-by-step explanation:
The diagonal of the parallelogram (a transversal) intersects two opposite and parallel sides of the parallelogram
Then
The angles of measures y° and 33° are Alternate interior angles
Then
they are congruent.
In other words , y = 33°
Two triangles are similar. The sides of the first triangle are 4,5,and 6. The largest side of the second triangle is 24. Find the perimeter of the second triangle.
Answers
Answer:
The perimeter of the second triangle is 60 units.Step-by-step explanation:
If two triangles are similar, their corresponding sides will be k times greater or smaller, where k is the scale factor.
We have two corresponding sides given, 6 and 24 or 6k. Using this info, find the value of k:
k = 24/6 = 4The other sides of the larger triangle are:
4k = 4*4 = 165k = 5*4 = 20The perimeter is the sum of sides:
P = 16 + 20 + 24 = 60The Bourassas decide to sell a home for $440,000. They are charged a real estate commission of 8% of the selling price, title insurance that is 1.4% of the selling price, and an escrow fee of $775.
(a)
What amount (in dollars) do the Bourassas receive after fees?
$
(b)
What percentage of the selling price was fees? Round to the nearest tenth of a percent.
%
Answers
The amount received net of expenses is $397865 and the percentage of the sale price was 10%.
Given that Bourassas decides to sell a house for $ 440,000. You will be charged a real estate fee of 8% of the sale price, property insurance of 1.4% of the sale price, and an escrow fee of $ 775.
The declared retail price is $ 440,000.
Real estate commission = 8% of the sale price
Real Estate Fee = (8/100) × 440000
Real Estate Fee = 8 × 4400
Real Estate Fee = $ 35,200
Security insurance costs of the title = 1.4% of the sale price
Cost of title insurance = (1.4 / 100) × 440 000
Cost of title insurance = 1.4 × 4400
Title Insurance Cost = $ 6160
The escrow fee assigned is $ 775.
(a) In determining the amount received after deducting the sale price of the property commission, title insurance and escrow fees, we receive
Amount received after fees = sale price - real estate commission - title insurance - escrow fees
Amount received after fees = 440000-35200-6160-775
The amount received after fees = $397865
(b) To find the percentage of sale price, add together all the terms real estate commission, title insurance and escrow fees and divide by the sale price we get
Percentage of selling price=((35200+6160+775)/440000)×100
Percentage of sale price = (42135/440000) × 100
Percentage of sale price = 9.57
Percentage of sale price = 10% (rounded down)
Hence Bourassas decides to sell a house for $440,000, then the amount Bourassas will receive after expenses is $397,865 and the percentage of the sale price of expenses is 10%.
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Using the graph as your guide, complete the following statement.
The discriminant of the function is
Answers
Because the parabola intercepts the x-axis only once, we conclude that the discriminant is 0.
What can we say about the discriminant?
For a quadratic equation:
y = a*x^2 + b*x + c
The discriminant is:
D = b^2 - 4ac
If D = 0, there is only one real zero.If D > 0, there are two real zeros.If D < 0, there are two complex zeros.In the graph we can see that the parabola intercepts the x-axis in its vertex, then the parabola has only one real zero, then we conclude that the discriminant is equal to zero.
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Line JM intersects line GK at point N.
Horizontal line G K intersects vertical line J M at point N, forming a right angle. A line extends from point N to L, down and to the right.
Which statements are true about the figure? Select two options.
Angle GNJ is complementary to Angle JNK.
Angle MNL is complementary to Angle KNL.
Angle MNG is complementary to Angle GNJ.
Angle KNJ is supplementary to Angle MNL.
Angle GNM is supplementary to Angle JNK.
Answers
The statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK. Option B and E
How to determine the statements
Ray NL creates two angles in the lower right quadrant.
The two angles created form a total of 90°, so the two angles formed are complementary. The relation is given as;
∠MNL + ∠KNL = ∠MNK = 90°
Hence ∠MNL and ∠KNL are complementary
∠GNM and ∠JNK are both right angles (and also vertical angles). They sum up to180°. They can be said to be supplementary.
∠GNM and ∠JNK are supplementary
Thus, the statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK
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If the r-value, or correlation coefficient, of a data set is 0.854, what is the
coefficient of determination to three decimal places?
A. 0.829
• B. 0.754
• C. 0.729
D. 0.854
Answers
Coefficient of determination(r²), is defined as, how well the data values are associated with each other when Regression line is drawn. In regression analysis, the coefficient of determination measures , how well the regression predictions approximate the real data points, means it measures the closeness between two variables.The Value of r², lies between 0 to 1. If value of r²=1, it shows ,regression line that is data values are Perfectly associated with each other.
If ,r²=0, it means there is no variation between two variables.There is 0% variation between two variables.
→Coefficient of Variation=[Correlation coefficient]²
=r²
=(0.854)²
=0.854 × 0.854
=0.729316
=0.730(Approx)
What is the solution to the equation 4 + = 6? y = 1 y = 4 y = 500 y = 2000
Answers
Step-by-step explanation:
pls make did make sense, darling!!
if the diameter of a circular pond is x meter what is the measure of its circumference
Answers
πx
Step-by-step explanation:
well pi is defined as the ratio of a circle's circumference to its diameter so just πx
A spinner is divided into five sections numbered 1 through 5. Juana records the number the spinner lands on for each of 50 spins. She computes and graphs the relative frequencies for each number. Which of the following describes the probability distribution?
A bar graph entitled Relative Frequency of Numbers Spun has x on the x-axis and Probability on the y-axis. The probability of 1 is 0.5; 2 is 0.12; 3 is 0.12; 4 is 0.12; 5 is 0.12.
constant
symmetric
negatively skewed
positively skewed
Answers
If the probability of 1 is 0.5; 2 is 0.12; 3 is 0.12; 4 is 0.12; 5 is 0.12 then the graph is somewhat positively skewed and then becomes constant.
Given the probability of 1 is 0.5; 2 is 0.12; 3 is 0.12; 4 is 0.12; 5 is 0.12.
We are required to find whether the graph is constant,symmetric ,negatively skewed or positively skewed.
We can say that the graph is somewhat positively skewed and then it becomes constant.
Positively skewed graph is a graph in which more values exist at the left side of the graph means the tail is started in end.
Constant graph is a graph in which all the values are equal to each other.
In our case except the probability of 1 all the values are 0.12 and the probability of 1 is 0.5.
Hence if the probability of 1 is 0.5; 2 is 0.12; 3 is 0.12; 4 is 0.12; 5 is 0.12 then the graph is somewhat positively skewed and then constant.
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Answer:
constant
Step-by-step explanation:
which of the following rational functions is graphed below?
Answers
Answer:
c
Step-by-step explanation:
Oblique Asymptotes
R(x) will have oblique asymptote if it can be represented in the form
1 / (Q)x
Find the surface area of the composite figure 4 cm 13 cm 3 cm 4 cm 12 cm SA = [?] cm² 5 cm 3 cm.
Answers
12x4=48
side of rectangle ( 2 of them)
4x3x2=24
length of rectangle (2 of them)
12x3x2=72
area of triangle facing us ( 2 of them)
1/2x5x12x2= 60
top part of triangle
13x4= 52
back part of triangle :
4x5=20
total = add them all together
= 276
|m² + n²|
When m = -5and n
=
3, the value of the expression is
Answers
Answer:
34
Step-by-step explanation:
You want the value of |m² +n²| for m = -5 and n = 3.
EvaluationPut the values where the variables are in the expression and do the arithmetic.
|m² +n²| = |(-5)² +3²| = |25 +9| = |34| = 34
The value of the expression is 34.
__
Additional comment
Here, the absolute value bars don't do anything, because the value between them is positive. If it were negative, they would remove the minus sign.
<95141404393>
Find the value of x
Answers
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
x = 12°[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex]\qquad❖ \: \sf \:2x + 6 + 5x + 90 = 180[/tex]
[ by linear pair ]
[tex]\qquad❖ \: \sf \:7x + 6 = 180 - 90[/tex]
[tex]\qquad❖ \: \sf \:7x + 6 = 90[/tex]
[tex]\qquad❖ \: \sf \:7x = 90 - 6[/tex]
[tex]\qquad❖ \: \sf \:7x = 84[/tex]
[tex]\qquad❖ \: \sf \:x = 84 \div 7[/tex]
[tex]\qquad❖ \: \sf \:x = 12[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
[tex]\qquad❖ \: \sf \:x = 12 \degree[/tex]
BRIANLY FOR THE BEST EXPLANATION AND ANSWER!
Question: A circle has an area of 16mm². Find it's circumference.
Answers
Answer:
C ≈ 14.18
Step-by-step explanation:
Question Given:
A circle has an area of 16mm². Find it's circumference.
Formula:
C = 2√πA
Solve:
C = 2√πA
C = 2√(3.14 × 16)
C = 2√50.24
C = 14.1760361173
C ≈ 14.18
Hence, Circumference is approximately 14.18.
~Kavinsky
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Area of Circle :
[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2} [/tex]
Now, it's given that area of circle is : 16 mm²
Let's calculate Radius ~
[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2} = 16[/tex]
[tex] \qquad \sf \dashrightarrow \: {r}^{2} = \cfrac{16}{ \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \: r = \sqrt{ \cfrac{16}{ \pi} } [/tex]
[tex]\qquad \sf \dashrightarrow \: r = { \cfrac{4}{ \sqrt{ \pi} } }[/tex]
Now,
[tex]\qquad \sf \dashrightarrow \: circumference = 2\pi r[/tex]
[tex]\qquad \sf \dashrightarrow \: c = 2 \pi \cfrac{4}{ \sqrt{ \pi} } [/tex]
[tex]\qquad \sf \dashrightarrow \: c = 8 \sqrt{ \pi} [/tex]
[ for approximate value take pi = 3.14 ]
[tex]\qquad \sf \dashrightarrow \: c = 8 \sqrt{3.14} [/tex]
[tex]\qquad \sf \dashrightarrow \: c \approx 8 \times 1.77[/tex]
[tex]\qquad \sf \dashrightarrow \: c \approx 14.18 \: \: mm[/tex]
In a football tournament, each team played exactly 19 games. Teams get three points for everyone and one point for every time. At the end of the tournament, team Olympus got a total of 28 points. How many could team Olympus have tied?
Answers
We can actually deduce here that when the tournament ended, team Olympus have tied for 13, 10, 7, 4, 1 times.
What is inequality?In Mathematics, inequality is used to express or show quantities that are less than, greater than, greater than or equal to, less than or equal to.
The following can be seen in inequality expressions:
≤≥ ><≠Looking at the question, we can see that each team plays exactly 19 games.
Every win (w) = 3
Every tie (t)= 1
Every loose = 0
But Olympus got a total of 28 points
Thus: 3w + t = 28 ---------(1)
Note that each team plays 19 games
Thus, T + W ≤ 19 --------------(2)
and T , W ≥ 0
Looking at equation (1) and (2)
=> 2W ≥ 9
=> W ≥ 4.5
( match can be won in integers only )
=> W ≥ 5
W - 5, 6, 7, 8, 9
T - 13, 10, 7, 4, 1
Loose - 1, 3, 5, 7, 9
Thus, team Olympus have tied for 13, 10, 7, 4, 1 times.
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You draw a rectangular picture that is 8 inches wind.It is 3 times as long as it is wind what is the area of the picture
Answers
Answer:
[tex]512 ^{2} [/tex]
the area of the picture
Evaluate f(x)=−4ex−2−4 for x=4. round to the nearest 4 decimal
Answers
Answer:
25.2
Step-by-step explanation:
I'll assume you wrote:
[tex]f(x) = 4e^{x-2} - 4[/tex]
So when x = 4:
[tex]4e^{4-2} - 4 = 4e^2 - 4[/tex] ≅ [tex]4\cdot 7.3 - 4 = 25.2[/tex]
3. Complete the table (showing work) and draw a graph of the logarithmic function f(x) = log 1/5 x
Answers
Answer:
Step-by-step explanation:
In how many possible ways can this be accomplished if there are 25 members on the board of directors
Answers
Explanation:
There are 25 choices for president. Then we have 25-1 = 24 choices for the secretary, and 24-1 = 23 choices for treasurer. This countdown (25,24,23) is because any given person cannot serve in more than one position.
Multiply out those values: 25*24*23 = 13800
Side note: you could use the nPr permutation formula as an alternative path. Plug in n = 25 and r = 3.
