Answer:
(x + 2) ( x - 3) (x - 4) =
(x^2 - x - 6) ( x - 4) =
x^3 - x^2 - 6x
-4x^2 + 4x + 24
_________________
x^3 - 5x^2 - 2x + 24
So we have
1x^3 -5x^2 - 2x + 24
Second one
I'm assuming that this is :
4x^7 -2x^4 + 2x^3 -4x - 9
We have 3 sign changes.....so the number of possible positive roots = 3 or 1
To find the number of possible negative roots, replaxe x with -x and we have
4(-x)^7 - 2(-x)^4 + 2(-x)^3 -4(-x) - 9 =
We have 2 sign changes....so the number of possible negative roots = 2 or 0
-4x^7 -2x^4 - 2x^3 + 4x - 9
Answer:
(x + 2) ( x - 3) (x - 4) =
(x^2 - x - 6) ( x - 4) =
x^3 - x^2 - 6x
-4x^2 + 4x + 2
_________________
x^3 - 5x^2 - 2x + 24
So we have
1x^3 -5x^2 - 2x + 24
Second one
I'm assuming that this is :
4x^7 -2x^4 + 2x^3 -4x - 9
We have 3 sign changes.....so the number of possible positive roots = 3 or 1
To find the number of possible negative roots, replaxe x with -x and we have
4(-x)^7 - 2(-x)^4 + 2(-x)^3 -4(-x) - 9 =
We have 2 sign changes....so the number of possible negative roots = 2 or 0
-4x^7 -2x^4 - 2x^3 + 4x - 9
HELP ME PLEASE......
Answer:
reflective.
Step-by-step explanation:
this has a somewhat meaningful undertone, meaning it is not sarcastic or scholarly. It also is not arguementative because it is not agrueing anything.
1. Ms. Blalock went to the store and bought 3 three DVDs for $15 each and a TV for 25% off. If she spent a total of $345, which equation could be used to find the original price of the TV, x?
The equation to find the original price of the TV is 300 = 0.25x
The DVDs were bought for $15 each which means that the amount of money spent on the television is:
= Total amount spent - Cost of DVDs
= 345 - (15 x 3)
= $300
The Television has a discount of 25%. Assuming the original price is x, the relevant formula would be:
Total amount spent = 25% * x
300 = 0.25x
In conclusion, you can find the price of the television by solving for x in 300 = 0.25x
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Given g(x)=−x−4, find g(5)
Answer:
-9
Step-by-step explanation:
Plug it in
g(x)=-x-4
g(5) meaning that x=5
Thus,
-5-4=-9
Hope it find it helpful :)
Answer:
-1
Step-by-step explanation:
Given g(x) = -x + 4, find g(5)
g(x) = -x+4
g(5) = -(5) + 4 Plug input into x
-5 + 4 Negate
-1 Add
Rationalise the following:
(Root3-1) / (root3+1)
Answer:
\(2-\sqrt{3}\)
Step-by-step explanation:
\(\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}\)
What is the height of the pennant? Recall the formula
A = bh.
12 inches
15 inches
30 inches
36 inches
Answer:
I think it is 30 inches
Step-by-step explanation:
Answer: C
Step-by-step explanation: on edge 2023
I need help on 11-12 please i need this done asap! Can someone help me out
p(x)=5x^4+7x^3-2x^2-3x+c divided by (x+1)
The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.
To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.
Let's set up the long division:
\(5x^3 + 2x^2 - 4x + 4\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:
\(5x^3(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- (\(5x^3 + 5x^2)\)
This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
-\((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
We continue this process until we reach the constant term, resulting in the remainder of the division.
At this point, we have:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- \((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
-\((2x^2 + 2x)\)
_______________________
- 5x + c
- (-5x - 5)
_______________________
5 + c
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Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD under a dilation with a scale
factor of 3. What is the length of segment BC?
By using the concept of dilation factor, length of BC obtained is 3 units
What is dilation factor?
Dilation is a transformation which changes the size of a figure by a certain factor.
That factor is called the scale factor
In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3
A'B'C'D' is the dilated figure
Length of B'C' = 9 units
Length of BC = \(9 \div 3\) = 3 units
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Complete Question
The figure has been attached here
Which of the following statements are true about the equation below?
x2-6x+2=0
The graph of the quadratic equation has a minimum value.
The extreme value is at the point (3,-7).
The extreme value is at the point (7,-3).
The solutions are .
The solutions are .
The graph of the quadratic equation has a maximum value.
Using quadratic function concepts, it is found that the true statements about the equation are:
The graph of the quadratic equation has a minimum value.The extreme value is at the point (7,-3).The solutions are \(3 \pm \sqrt{7}\).What is a quadratic function?A quadratic function is given according to the following rule:
\(y = ax^2 + bx + c\)
If a > 0, it has a maximum value, and if a < 0, it has a minimum value.The extreme value is \((x_v,y_v)\), in which:\(x_v = -\frac{b}{2a}\)
\(y_v = -\frac{\Delta}{4a}\)
\(\Delta = b^2 - 4ac\)
The solutions are:\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)
\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)
In this problem, the function is:
\(f(x) = x^2 - 6x + 2\)
The coefficients are \(a = 1, b = -6, c = 2\).
Since a > 0, the graph has a minimum value.
For the extreme value, we have that:
\(x_v = -\frac{b}{2a} = \frac{6}{2} = 3\)
\(\Delta = b^2 - 4ac = (-6)^2 - 4(1)(2) = 28\)
\(y_v = -\frac{\Delta}{4a} = -\frac{28}{4} = -7\)
Hence:
The extreme value is at the point (7,-3).
The solutions are:
\(x_1 = \frac{6 + \sqrt{28}}{2} = \frac{6 + 2\sqrt{7}}{2} = 3 + \sqrt{7}\)
\(x_2 = \frac{6 - \sqrt{28}}{2} = \frac{6 - 2\sqrt{7}}{2} = 3 - \sqrt{7}\)
The solutions are \(3 \pm \sqrt{7}\).
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Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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Which of the following is true for the function f(x)=2cos(x2)
a. The period is π
b. The period is π2
c. The period is 2π
d. The period is 4π
e. The period is 2
Answer:
c. The period is 2π
Step-by-step explanation:
The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.
For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.
This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)
Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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Write and solve an inequality to find the possible values of x.
The inequality tha calculates the possible values of x is x < 2
How to determine the inequality tha calculates xFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
3x + 2 < 10
And, we have
2x + 6 < 10
Evaluate the expressions
So, we have
3x < 8 and 2x < 4
Evaluate
x < 8/3 and x < 2
Hence, the inequality tha calculates x is x < 2
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What is the solution of this inequality?
r−6>−11
Drag and drop the choices to correctly complete the inequality.
help
The solution to the given linear inequality, r - 6 > -11, is r > -5
Solving Linear InequalitiesFrom the question, we are to determine the solution of the given inequality
The given inequality is
r - 6 > -11
To determine the solution of the inequality, we will solve the inequality for the unknown variable.
In the inequality, the unknown variable is r.
Solving the inequality for r
r - 6 > -11
Add 6 to both sides
r - 6 + 6 > -11 + 6
r > -5
Hence, the solution is r > -5
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Proving Parallelogram
Answer:
Soln.
Given that we have proven:AB =CD and BC=DA
we will be said that the A and C is the angle of 90° and we will add the letters to get the results so let's started the A+90°+ 90°+ B+C+ D=90°
A+180°+B+C+D
180°+90°
=270°
is X greater than less than or equal to 106 degrees
Answer:
Less
Step-by-step explanation:
i need help!!!! does anyone know this..!!???
The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.
How to determine the period of the frequency factor b given above?The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.
The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.
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Please help me, thanks
Answer:
I dont know
Step-by-step explanation:
Can you type in the question please and ty
Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over
Which of the following values of n will result in a true statement when substituted into the given equation? 4n + 9 = 1 A. n = -2 B. n = 2 C. n = 3 D. n = 4
Answer:
A. n = -2
Step-by-step explanation:
A. n = -2
4(-2) + 9 = 1
-8 + 9 = 1
1 = 1
The value of n for which the statement of equation 4n + 9 = 1 holds true is n = -2.
Given an equation:
4n + 9 = 1
There are some given options for the value of n.
It is required to find the value of n, where the statement is true.
A) When n = -2:
4n + 9 = 4(-2) + 9
= 1
B) When n = 2:
4n + 9 = 4(2) + 9
= 17
C) When n = 3:
4n + 9 = 4(3) + 9
= 21
D) When n = 4:
4n + 9 = 4(4) + 9
= 25
Hence the true statement is when n = -2.
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What is the width of 200 feet and 27 feet
Answer:
Length: 7 11/27 ft.
Step-by-step explanation:
200/27 = 7 11/27
for triangle ABC find the measure of angle A.
Answer:
A= 63
Step-by-step explanation:
the both sides are equal so it will be 63 and 63
angle c would be 54
Adding all the sides would give 180 as all sides equal 180
(PLEASE ANSWER ASAP)
Answer:
alternate interior angles are congruent
The animals at a safari park include camels,
kangaroos and meerkats.
There are 12 more kangaroos than there are
camels.
There are 3 times as many meerkats as there
are camels.
There are the same number of kangaroos as
there are meerkats.
How many camels are there at the safari park?
The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid
Point H is the ortho-center of our given triangle and option c is the correct choice.
We have been given an image of a triangle. We are asked to find the term that describes point H.
We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.
We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.
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Help me pls I don't understand.
Answer: The correct answer is (-1, 2).
Step-by-step explanation: Find how many units the original F point is away from the center. It is 2 units away in terms of x, and 4 units away in terms of y. The x value has to be negative since the initial x point was already negative. -2/2 = -1. Hence, the x value is -1. 4/2 = 2. Hence, the y value is 2.
!!!! What is the answer
Imran and Sarah share 21 sweets between them in the ratio 2:1 how many sweets does imran get
Answer:
14
Step-by-step explanation:
sum the parts of the ratio, 2 + 1 = 3 parts
divide the number of sweets by 3 to find the value of one part of the ratio
21 ÷ 3 = 7 sweets ← value of 1 part of the ratio , then
2 parts = 2 × 7 = 14 sweets ← Number Imran gets
1. An acrobat is on a platform that is 25 feet in the air. She jumps down
at an initial vertical velocity of 4 ft/s. Write a quadratic function to
represent the height h of the acrobat t seconds after the jump.
If a safety net is placed 5 feet above the ground, how long will it take
for her to land safely on the net?
It will take the acrobat 1/4 of a second to land safely on the net.
What is velocity?Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
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