what is the x-intercept of f(x)=(x+4)(x+8)
Answers
The x-intercepts of the function f(x) = (x + 4)(x + 8) are x = -4 and x = -8.
To find the x-intercept of a function, we set f(x) equal to zero and solve for x. In this case, the function is f(x) = (x + 4)(x + 8). So we have:
(x + 4)(x + 8) = 0
To find the x-intercepts, we need to solve this equation.
Since the product of two factors is zero, at least one of the factors must be zero. So we set each factor equal to zero and solve for x:
x + 4 = 0 or x + 8 = 0
Solving these equations, we get:
x = -4 or x = -8
Therefore, the x-intercepts of the function f(x) = (x + 4)(x + 8) are x = -4 and x = -8.
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Related Questions
if you believe bit plane slicing is lossy, can 1st-order extrapolation or 2d bilinear interpolation recover the original image?
Answers
If you believe that bit plane slicing is lossy, then 1st-order extrapolation or 2D bilinear interpolation cannot fully recover the original image.
What is extrapolation and interpolation?
Extrapolation is an estimation based on extending a known sequence of data beyond what is absolutely known.
Interpolation is the estimation of a value in a sequence of values between two known values.
Bit plane slicing is a lossy compression technique, which means that some information from the original image is lost during the compression process. The purpose of bit plane slicing is to reduce the size of an image by removing less significant bits from each pixel. As a result, the quality of the image is reduced.
1st-order extrapolation and 2D bilinear interpolation are techniques used to estimate or predict missing or unknown values from a given set of data. These techniques can be used to enhance the quality of an image, but they cannot recover the original image in cases where information has been lost through compression or degradation. In other words, they can only improve the quality of the image to a certain extent, but they cannot restore it to its original state.
So, if you believe that bit plane slicing is lossy, then 1st-order extrapolation or 2D bilinear interpolation cannot fully recover the original image, although they may help to improve its quality to some extent.
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4.7x4.7x4.7 thats about it
Answers
Answer:
103.823
Step-by-step explanation:
It's just 4.7 to the third power, so I multiplied to get 103.823. :)
Exercise 18-29 (Algorithmic) (LO. 2) In 2021, Chaya Corporation, an accrual basis, calendar year taxpayer, provided services to clients and earned $56,500. The clients signed notes receivable to Chaya that have a fair market value of $48,025 at year-end. In addition, Chaya sold a 36-month service contract on April 1, 2021, and received payment in full of $27,120. Do not round any division. If required, round your final answer to the nearest dollar. How much gross income does Chaya report from these transactions in 2021? 1. From services to clients: 2. From service contract: $
Answers
Chaya Corporation reports $7,533.33 as gross income from the service contract.To determine the gross incom, we need to consider the revenue from services provided to clients and the revenue from the service contract.
1. From services to clients:
Chaya Corporation earned $56,500 from providing services to clients. This amount is reported as gross income.
2. From service contract:
The service contract sold on April 1, 2021, for $27,120 is considered unearned revenue initially. For tax purposes, the revenue from the service contract is recognized over the contract period. Since the service contract is for 36 months, the revenue recognized in 2021 would be:
$27,120 / 36 months * 9 months (April to December) = $7,533.33
Therefore, Chaya Corporation reports $7,533.33 as gross income from the service contract.
In total, Chaya Corporation reports $56,500 + $7,533.33 = $64,033.33 as gross income from these transactions in 2021. Rounded to the nearest dollar, the gross income reported is $64,033.
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please help whats 2-(x+1)/(x-2)-(x-4)/(x+2) simplified?
Answers
Answer:
3(x-6)/(x+2)(x-2)
Step-by-step explanation:
Answer:
3(x−6)
---------------
(x+2)(x−2)
Step-by-step
could be wrong.....
Let C be the event that a student received a grade of B or better in Calculus I and let S be event that a student received a grade of A in Statistics I. Which of the following denotes the probability that a student received an A in statistics given that the student received less than a B grade in Calculus I.
a. P(S'|C')
b. P(CIS)
c. P(SIC)
d. P(SIC)
Answers
The probability that a student received an A in Statistics I given that the student received less than a B grade in Calculus I can be denoted as P(S|C'). The correct option is (a) P(S'|C').
To represent the probability that a student received an A in Statistics I given that the student received less than a B grade in Calculus I, we need to consider the complement of the events.
The complement of event C (grade of B or better in Calculus I) is C' (grade less than B in Calculus I). Similarly, the complement of event S (grade of A in Statistics I) is S' (grade other than A in Statistics I).
Therefore, the probability that a student received an A in Statistics I given that the student received less than a B grade in Calculus I is denoted as P(S|C'). This notation indicates the conditional probability of event S occurring given that event C' has occurred.
Among the given options, (a) P(S'|C') correctly represents the desired probability. Option (b) P(CIS) represents the joint probability of events C, I, and S, which is not relevant to the given question.
Option (c) P(SIC) represents the joint probability of events S, I, and C, which is also not relevant. Option (d) P(SIC) is a duplicate of option (c) and does not represent the desired probability.
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find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
Answers
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
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an ecology center wants to set up an experimental garden in the shape of a rectangle. the length of the rectangle is 4 yards longer than the width. what are the dimensions of the garden if the enclosed area is 21 square yards. state units.
Answers
Let’s assume that the width of the rectangle is x.
Since the length is 4 yards longer, we can write the length as x + 4.
The area of a rectangle is length * width, and the area is already given to us as 21 square yards.
So length * width = area, meaning x * x + 4 = 21
So x^2 + 4 = 21
= x^2 = 21 - 4
= x^2 = 17
= x = root of 17
= 4.12 yards
We’ve found out that the width is 4.12 yards, so the length must by 4.12 + 4
= 8.12 yards.
So, the dimensions of the garden are 8.12 * 4.12 yards*
*This answer is rounded, so it won’t be exact.
Another, more exact value is root 17 * root 17 + 4
Given that the following system of equations has NO solutions, find the value of m.
9x−7y=11
14x+my=6
A. -98/9
B. -9/98
C. -7/9
D. -9/7
Answers
Given statement solution is :- The value of m is -98/9.
The correct answer is A. -98/9.
To determine the value of m in the given system of equations, we need to find the condition under which the system has no solutions.
The system of equations can be written in matrix form as:
css
Copy code
[ 9 -7 ] [ x ] [ 11 ]
[ 14 m ] * [ y ] = [ 6 ]
For this system to have no solutions, the coefficient matrix [ 9 -7 ; 14 m ] must be singular, which means its determinant must be zero.
Determinant of the coefficient matrix:
det([ 9 -7 ; 14 m ]) = (9 * m) - (-7 * 14) = 9m + 98
Setting the determinant equal to zero, we have:
9m + 98 = 0
Solving for m:
9m = -98
m = -98/9
Therefore, the value of m is -98/9.
So, the correct answer is A. -98/9.
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From the equations below, select all correct answer choices that have a solution of (-1,5).
B
−3x+3y=−18
C
3x−3y=−18
D
x+y=6
E
−x+y=6
A
−3x+3y=18
Answers
A: {(-1)*(-3)}+{(3)*(5)}=18
C: {(-1)*(3)}-{(5)*(3)}=18
E: {(-1)*(-1)}+5=6
mmo
Which number line shows the solution to the inequality 5x - 15 >-65?
A
rus
-12
-10
-8
B
+
-12
-10
-8
o
-12
-10
-8
D
Monst
-12
-10
-8
AS
Answers
Answer:
C
Step-by-step explanation:
when you solve this it is x>10.
< and > is the open hole and x is greater than -10 so it will be going right.
hope this helped :)
The correct number line which shown the solution x > - 10 is shown in Option C.
We have to given that,
An inequality is,
⇒ 5x - 15 > - 65
Now, We can simplify it as,
⇒ 5x - 15 > - 65
Add 15 both side,
⇒ 5x - 15 + 15 > - 65 + 15
⇒ 5x > - 50
⇒ 5x + 50 > 0
⇒ 5 (x + 10) > 0
⇒ x + 10 > 0
⇒ x > - 10
Therefore, The correct number line which shown the solution x > - 10 is shown in Option C.
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Question 1 -of 15 Step 1 of 3No Time LimitSolve the system of two linear inequalities graphically.{ x < 4x= -2Step 1 of 3: Graph the solution set of the first linear inequality,Answer 2 Points5 KeypadKeyboard ShortcutsThe line will be drawn once all required data is provided and will update whenever avalue is updated. The regions will be added once the line is drawn.Choose the type of boundary line:Dashed -O Solid (-) O
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
x < 4
x ≥ - 2
Step 02:
system of linear inequalities:
x < 4:
x = 4 ===> vertical line
x ≥ - 2:
x = - 2 ===> vertical line
graph:
The answer is:
Unbounded
consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Answers
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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need help for 3 2/3 - 1/2
Answers
= 11/3 - 1/2
= 22/6 - 3/6
= 19/6
= 3.1666666667
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9 and FG = 3x +17
Answers
Answer:
The length of EG is 58 units
Step-by-step explanation:
The midpoint of a segment divides it into two equal part
Let us use this rule to solve our question
∵ E, F, and G are collinear points
∵ Point F is the midpoint of segment EG
→ That means F divides EG into 2 equal segments EF and FG
∴ EF = FG
∵ EF = 5x + 9
∵ FG = 3x + 17
→ Equate them
∴ 5x + 9 = 3x + 17
→ Subtract 3x from both sides
∵ 5x - 3x + 9 = 3x - 3x + 17
∴ 2x + 9 = 17
→ Subtract 9 from both sides
∴ 2x + 9 - 9 = 17 - 9
∴ 2x = 8
→ Divide both sides by 2 to find x
∵ \(\frac{2x}{2}=\frac{8}{2}\)
∴ x = 4
→ Substitute x by 4 in EF and FG to find their lengths
∵ EF = 5(4) + 9 = 20 + 9 = 29
∵ FG = 3(4) + 17 = 12 = 17 = 29
∵ EG = EF + FG
∴ EG = 29 + 29 = 58
∴ The length of EG is 58 units
Find the volume of the cylinder. Use 3.14 as π.
Answers
Solve the problem. Find \( k \) such that the line \( -k x+21 y=4 \) is parallel to the line through \( (5,-8) \) and \( (2,4) \). \[ \begin{array}{l} k=-84 \\ k=-86 \\ k=-83 \\ k=-83.5 \end{array} \]
Answers
The slope of the given line \(-kx + 21y = 4\) can be determined by rearranging it into the slope-intercept form \(y = mx + b\), where \(m\) represents the slope. We can rewrite the equation as:
\[21y = kx + 4 \Rightarrow y = \frac{k}{21}x + \frac{4}{21}\]
From this form, we can see that the slope of the given line is \(m = \frac{k}{21}\).
Now, let's find the slope of the line passing through \((5, -8)\) and \((2, 4)\). The slope of a line can be calculated using the formula:
\[m = \frac{{y_2 - y_1}}{{x_2 - x_1}}\]
Substituting the coordinates, we have:
\[m = \frac{{4 - (-8)}}{{2 - 5}} = \frac{{12}}{{-3}} = -4\]
Since the given line is parallel to the line passing through the given points, the slopes of both lines should be equal. Therefore, we can set \(\frac{k}{21} = -4\) and solve for \(k\).
\[\frac{k}{21} = -4 \Rightarrow k = -4 \times 21 = -84\]
Therefore, the value of \(k\) that satisfies the condition is \(k = -84\).
A payday loan company charges 4.4 percent interest for a two-week period. What would be the annual interest rate from that company
Answers
The annual interest rate from the payday loan company would be 114.4%.
The annual interest rate from a two-week payday loan, the number of periods in a year.
Since there are 52 weeks in a year, the loan term of two weeks corresponds to 26 periods in a year (52 weeks divided by 2 weeks).
The payday loan company charges an interest rate of 4.4 percent for a two-week period. To calculate the annual interest rate, the number of periods in a year:
Annual interest rate = Interest rate per period ×Number of periods in a year
Annual interest rate = 4.4% × 26
Annual interest rate = 114.4%
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The ratio of the sides of two similar rectangles is 3:5. The larger rectangle has an area of 36 sq. cm. What is the area of the smaller rectangle?
Answers
Answer:
21.6 sq cm
Step-by-step explanation:
3:5
x:36
cross-multiply because they are in proportion
x*5=3*36
divide both sides by 5
x= 3*36/5=21.6
-9-11x=68 Steps please
Answers
We can start this equation off by doing the inverse operation for each sides. We add 9 to both sides in order to get rid of the -9 term to get:
\(-11x = 77\)
We now divide both sides by -11 in order to "isolate" our x variable to get:
\(x = -7\)
Answer:
x=-7
Step-by-step explanation:
-11x=68+9
-11x=77
divide both sides by -11
x=-7
please help factorise 7ab+a
Answers
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
The vertices of a rectangle are located at the coordinates (1, 4), (1, 5), (6, 5), and (6, 4).
Find the length of the sides of the rectangle and its perimeter.
Answers
Check the picture below.
While catching fireflies you and a friend decide to have a competition. After m minutes you have (3m+13) fireflies and your friend has (4m+6) fireflies how many fireflies did you and your friend catch
Answers
Answer:: the equation is 7m + 19
Step-by-step explanation:
Franklin puts apples and pears into boxes for the costumers at the local food bank. he puts the same number of apples or pears in each box. each box has only one type of fruit there are 64 apples and 48 pears what is the largest number of pieces of fruit Franklin can put in a box
Answers
Answer:
7
Step-by-step explanation:
To solve this problem, find the greatest common factor of the numbers representing the numbers of apples and pears respectively.
Each box will contain 3 pears and 4 apples.
And total number of fruits in each box will be 7 fruits.
It's given in the question,
Blake has 64 apples and 48 pears with him.
He has to put equal numbers of each fruit in a box.
To find the greatest number of fruits he can put in a box we will find the greatest common factor (GCF) of the given numbers first.
Therefore, greatest common factor of these numbers = =
GCF of these numbers tells about the number of boxes that can be prepared.
Now the number of pears that can be put in each box =
And the number of apples in each box =
Therefore, each box will contain 3 pears and 4 apples.
And total number of fruits in each box = 3 + 4 = 7 fruits.
How do you write two and forty seven thousandths in number?
Answers
Answer:
47002 :)
is how you write 47 thousand +2
The ratio of a to b is 4/7. If a is 16, find the value of b.
Answers
Answer:
B=28
Step-by-step explanation:
Give an argument that shows that every polynomial family of degree n>2 contains polynomials that cannot be generated from the basic function y=xⁿ by using stretches, compressions, reflections, and translations.
Answers
Answer: because if you have a argument you have all.
Step-by-step explanation:
Rewrite the function by completing the square.
f(x) = x2 – 2x – 95
Answers
solving by completing the square: f(x) = ( x - 1 ) ^2 - 96,
how to calculate number of tiles needed for a room
Answers
To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles.
How to calculate the number of tiles needed for a room?To calculate the number of tiles needed for a room, follow these steps:
Measure the length and width of the room in meters or feet.Determine the size of the tiles you plan to use in either square meters or square feet.Calculate the area of the room by multiplying the length by the width.Divide the total area of the room by the area of one tile to determine the number of tiles needed.Round up the result to the nearest whole number to account for any extra tiles needed due to cuts or replacements.To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles. By measuring the length and width of the room, you can calculate the total area of the floor or wall that needs to be tiled. This is done by multiplying the length by the width.
Next, you should determine the size of the tiles you plan to use. This could be in square meters or square feet depending on your measurement preference. Knowing the area of one tile will allow you to calculate how many tiles are needed to cover the entire room. You can do this by dividing the total area of the room by the area of one tile.
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EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.
EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS
PLANOS.
Answers
Answer:
THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.
THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.
Step-by-step explanation:
This is what it says in english
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Write the expression in simplest form.
(-11/2 x +3) -2 (-11/4 x -5/2) =
Answers
Answer:
-5/2 x -33/4
Step-by-step explanation:
(-11/2 x + 3) -2 (-11/4 x -5/2)
(-11/2 x + 3/1) -2 (-11/4 x -5/2)
The LCM of 2 and 1 is 2, and the LCM of 4 and 2 is 4.
(-11/2 x + 6/2) -2 (-11/4 x -20/4)
( -5/2x) -2 (-31/4)
-5/2x -2 -31/4
-5/2x -2/1 -31/4
LCM of -2 -31/4 is 4
-2/4 -31/4
-33/4
-5/2x -33/4 in simplest form.