Answer: c = -5, -8
Step-by-step explanation:
c^2 +13c+40=0
(c+5)(c+8)=40
c = -5, -8
Find the difference of the following polynomials. Arrange the terms in descending powers of the variable.
Subtract-4+38² from 7a-a².
O-4a2+7a+4
O4a2+7a+4
O-4a2-7a+4
O-4a2-7a-4
Answer:
-4a² + 7a + 4
Step-by-step explanation:
Subtract -4 + 3a² from 7a - a².
(7a - a²) - (-4 + 3a²) =
= 7a - a² + 4 - 3a²
= -4a² + 7a + 4
Max and bob went to McDonald’s. Max bought 2 burgers and 2 drinks for five dollars. Bob Bought 3 burgers and 1 drink for $5.50. How much is each burger and drink?
Answer:
A burger is 1.50 and a drink is 1.50.
Step-by-step explanation:
Max´s: So 2 burgers would cost 1.50 so ( for the 2 drinks) 1.50 + 1.50 is 2.50 and 1.50 and 1.50 is 2.50 add the 2 2.50s you get 5.00
Bob: Bob gets 3 burgers which is 1.50 times 3 is 4.50 + 1.50 for one drink the answer would be 5.50
Hope that helps!
does tan^2x = sin^2x/cos^2x
Answer:
Yes they both are equal
members of a lacrosse team raised $1581.75 to go to a tournament. they rented a bus for $968.50 and budgeted $55.75 per player for meals. write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Let pp be the number of players. We can write an equation to solve for the number of players.
1581.75 - 968.50 - (pp × 55.75) = 0
1581.75 - 968.50 - 55.75pp = 0
-55.75pp = -613.25
pp = 11
Therefore, the team can bring 11 players to the tournament. To find this, we subtracted the cost of the bus (968.50) and the cost of meals per player (55.75pp) from the total amount raised (1581.75).
We then divided both sides by -55.75 to solve for the number of players (pp) on the team.
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If four times a number is increased by 15, the result is three less than six times the number. Which
equation can be used to find the value of the number?
Answer:
4 times x + 15 = 6 times x -3
I NEED THIS FOR A QUIZ PLS
18 Which expression is a factored form of 2x2 - 25x + 63?
O (X+9)(2x+7)
O (X - 9)(2x - 7)
O (X+7)(2X+9)
O (X - 7)(2x - 9)
The expression which represent the factored form of 2x² - 25x + 63 is (x - 9)(2x - 7)
How to factorise an expression2x² - 25x + 63
check all that apply
O (X+9)(2x+7)
= 2x² + 7x + 18x + 63
= 2x² + 25x + 63
False
O (X - 9)(2x - 7)
= 2x² - 7x - 18x + 63
= 2x² - 25x + 63
True
O (X+7)(2X+9)
= 2x² + 9x + 14x + 63
= 2x² + 23x + 63
False
O (X - 7)(2x - 9)
= 2x² - 9x - 14x + 63
= 2x2 - 23x + 63
False
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Consider the graph of the function f(x)
-10 -8 -6
-4 -2
y
10-
8-
6-
4-
2
10 2
-2-
-4-
-6-
-8-
-10-
=10.
4
6 8 10
Which statement describes a key feature of function g if g (z) = f(x + 4)?
A key feature of function g is that it takes the value of the function f, and adds 4 to it before evaluating it. This means that the output of g is always 4 units greater than the output of f.
What is evaluating ?Evaluating is the process of making judgments about something based on criteria and evidence. It involves analyzing and assessing the quality or value of something, based on a set of predetermined criteria. Evaluating can be used to assess the quality of a product, a performance, an argument, or any other object or entity. Evaluating requires the use of critical thinking skills and involves asking questions,
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I think that the most important rule is that you must write. To be able to have a successful story, you must write a story. If you did not write, there would be no story to become successful. Writing is the key to creating any successful story. Therefore, the most important rule is that you must write. Create and solve a story problem that would match this equation: y=5x+3 Be sure to define, or explain the meaning of the variables (x and y), the constant, and the coefficient. PLSS HELP WILL GIVE BRAINLYEST!!!!!
Answer:
y = 5x + 3
if:
x = 1, then y = 8
x = 2, then y = 13
x = 3, then y = 18
x = n, then y = 5n + 3
Step-by-step explanation:
if:
x = 1, then y = 8
x = 2, then y = 13
x = 3, then y = 18
x = n, then y = 5n + 3
A creamery with the most delicious ice cream charges stores a $15 de
and a whole sale price of $3 per gallon of ice cream shipped. Write a function to
determine the cost of shipping the ice cream.
Answer:
three gallons
To get the delicious creamy flavor and texture just right, it requires three gallons of whole milk to make one gallon of ice cream. Milk cows produce, on average, about six gallons of milk a day, which means that a single cow could be responsible for making almost 730 gallons of your favorite ice cream each year!
Step-by-step explanation:
Estimate and then solve 6,699 ÷ 72 = ___.
Answer:
yeah its 93 after being rounded
Step-by-step explanation:
already did it and commented i was just wondering what else there was cause it seemed like there was more.
Lisa has played in 6 soccer matches. Her brother Josh has played in 18 soccer
matches. Lisa says Josh has played in 12 times as many matches as she has.
Use the drop-down menus to explain why Lisa's statement is not correct.
Click the arrows to choose an answer from each menu.
Lisa found the number that when Choose...
could have used the equation Choose...
played in Choose....
Y
6 is equal to 18. Instead, Lisa
to find the correct answer. Josh has
times as many soccer matches as Lisa.
Y
Y
Done →
Lisa played in 6 soccer matches and Josh played in 18 soccer matches, which means Josh has played in 3 times as many soccer matches as Lisa.
Lisa has played in 6 soccer matches.
Lisa says Josh has played in 12 times as many matches as she has.
Lisa found the number that when Y is multiplied by 12 could have used the equation Y × 12 = 18.
Instead, Lisa played in 6 soccer matches and Josh played in 18 soccer matches, which means Josh has played in 3 times as many soccer matches as Lisa.
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4 to the power of 2 x 4 to the power of 8 divided
4 to the power of 3
Please find attached photographs for your answer. Do mark me Brainliest
The subject of the formula below is y.
a=4x/t - p
Rearrange the f make x the subject.
Answer:
x = t(a+p)/4
Step-by-step explanation
Given the expression
a=4x/t - p
We are to make x the subject of the formula
a=4x/t - p
Add p to both sides
a+p = 4x/t - p+p
a+p = 4x/t
Cross multiply
t(a+p) = 4x
Rearrange
4x = t(a+p)
Divide both sides by 4
4x/4 = t(a+p)/4
x = t(a+p)/4
Theorem 7.1.2 (Calculations with the Fourier transform)
Given f € L¹(R), the following hold:
(i) If f is an even function, then
f(y) = 2 [infinity]J0 f(x) cos(2πxy)dx.
(ii) If f is an odd function, then
f(y) = -2i [infinity]J0 f(x) sin(2πxy)dx.
(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
The Fourier transform pair for a function f(x) is defined as follows:
F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk
Now let's prove the given properties:
(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.
To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):
F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
Since f(x) is even, we can rewrite the integral as follows:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx
Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx
Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:
F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx
Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:
f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy
Substituting F(y) with the expression derived above:
f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy
Interchanging the order of integration and evaluating the integral with respect to y, we get:
f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx
Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:
f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx
f(y) = 2 ∫[0,∞] f(x) δ(x) dx
f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)
Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
The proof for this property follows a similar approach as the one for even functions.
Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):
F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
Since f(x) is odd, we can rewrite the integral as follows:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx
Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx
Now, following the same steps as in the proof for even functions, we can show that
f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx
This completes the proof of property (ii).
In summary:
(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
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Don deposited $3,500 for 5 years on 2.40% yearly interest rate in his saving account. How much interest will he earn?
Answer:
$4200 is the answer
Step-by-step explanation:
If you multiple $3500x5x2.4
3500x5= 17,500
17,500x2.4= $42,000
slader the shortest path between two points on a curved surface, such as the surface of a sphere, is called a geodesic. to find a geodesic, one has first to set up an integral that gives the length of a path on the surface in question. this will always be similar to the integral (6.2) but may be more complicated (depending on the nature of the surface) and may involve different coordinates than x and y. to illustrate this, use spherical polar c
A geodesic is the shortest path between two points on a curved surface, such as a sphere. To find a geodesic, an integral is set up to determine the length of a path on the surface.
This integral is similar to the one used for flat surfaces but may be more complex and involve different coordinates depending on the nature of the curved surface. In the case of a sphere, spherical polar coordinates are commonly used.
The length of a path on a curved surface can be expressed using an integral similar to Equation (6.2) for flat surfaces. However, when dealing with a sphere, the integral may involve different coordinates, specifically spherical polar coordinates. Spherical polar coordinates consist of three components: radius (r), polar angle (θ), and azimuthal angle (φ). By expressing the path in terms of these coordinates, the integral can be set up to calculate the length of the geodesic.
To illustrate this, let's consider the example of finding the geodesic on the surface of a sphere. The integral would involve integrating the square root of the sum of squared differentials of the three spherical polar coordinates, weighted by the appropriate metric coefficients. The specific form of the integral would depend on the metric tensor associated with the spherical polar coordinate system. By minimizing this integral, the geodesic between two points on the sphere can be determined. In summary, finding the geodesic, or shortest path, between two points on a curved surface involves setting up an integral to calculate the path length. The integral is similar to the one used for flat surfaces but may be more complex and use different coordinates, such as spherical polar coordinates for a sphere. By minimizing the integral, the geodesic on the curved surface can be found.
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If you have an 80 average so far in class after 3 tests what would you need to get on the fourth test to have an average of 83?
Answer:
92
Step-by-step explanation:
83*4 = 332
And 80*3 = 240
332-240 = 92
So you would need 92
Answer:
i need help
Step-by-step explanation:
Add.
(6x³ + 3x² − 2) + (x³ - 5x² − 3)
Express the answer in standard form. (Please and thank you)
Answer:
\(\\\sf7x^3 - 2x^2 - 5\)
Step-by-step explanation:
\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)
Remove parenthesis.
6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3
Rearrange:
6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3
Combine like terms to get:
7x^3 - 2x^2 - 5----------------------------------------
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Hope this helps! :)
Answer:
7x³ - 2x² - 5
Step-by-step explanation:
(6x³ + 3x² - 2) + (x³ - 5x² - 3)
Remove the round brackets.
= 6x³ + 3x² - 2 + x³ - 5x² - 3
Put like terms together.
= 6x³ + x³ + 3x² - 5x² - 2 - 3
Do the operations.
= 7x³ - 2x² - 5
____________
hope this helps!
The scale of a map is 1 inch = 60 miles. Find the actual distance if the distance on the distance on the map is 3 1/2 inches.
Answer:
210 milesStep-by-step explanation:
The scale is
1 in = 60 milesFind the distance of equivalent to 3 1/2 in
3 1/2 * 60 miles = 3*60 + 1/2*60 miles = 180 + 30 miles = 210 milesmultiply with scale factor and get distance
3 1/2×607/2×607(30)210miGarden canes have lengths that are normally
distributed with mean 208. 5cm and standard
deviation 2. 5cm. What is the probability of the length
of a randomly selected cane being between 205cm
and 210cm? Correct to 3 decimal places
The probability of the length of a randomly selected cane being between 205cm and 210cm is approximately 0.645 (rounded to 3 decimal places).
To find the probability of the length of a randomly selected cane being between 205cm and 210cm, we need to calculate the z-scores for these values and then use the standard normal distribution.
The z-score formula is given by:
z = (x - μ) / σ,
where x is the observed value, μ is the mean, and σ is the standard deviation.
For 205cm:
z1 = (205 - 208.5) / 2.5 = -1.4
For 210cm:
z2 = (210 - 208.5) / 2.5 = 0.6
Now, we can use a standard normal distribution table or a calculator to find the probability between these two z-scores.
Using a standard normal distribution table or a calculator, we find that the probability associated with z1 = -1.4 is approximately 0.0808, and the probability associated with z2 = 0.6 is approximately 0.7257.
To find the probability between these two z-scores, we subtract the probability corresponding to z1 from the probability corresponding to z2:
P(205cm < length < 210cm) ≈ P(z1 < z < z2) ≈ P(z < 0.6) - P(z < -1.4) ≈ 0.7257 - 0.0808 ≈ 0.6449.
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√6 + √5
please help me answere this qustion in STEP - BY - STEP solution
Answer:
√6 + √5= 4.69
Step-by-step explanation:
First, simplify the radicals-
in this situation, we have nothing to simplify.
√6 = aprx 2.45
√5 = aprx 2.23
√6 + √5= 4.685
= aprx 4.69
PLEASE HURRY !! VERY URGENT.
Answer:
If the height is h, then
h/65=sin70 so that means h=65sin70=61.08m approximately
Step-by-step explanation:
Please help me answer
Using transformations, it is found that:
25. The function underwent a reflection over the y-axis.
26. The function undergoes a vertical compression by a factor of 1/2.
27. the changes from f(x) = |x| to g(x) = -2|x - 1| + 2 are given as follows:
Shift one unit right.Shift two units up.Vertical stretch by a factor of 2.Reflection over the x-axis.The graph of g(x) is given at the end of the answer.
What are transformations on the graph of a function?The transformations used are given as follows:
Translation: Translation left/right or down/up, with rules such as x -> x + a or y -> y + a, with the signal of a determining it is left or right, or up/down.Stretching/compression: Function is multiplied by a value.Reflections: Over the x-axis or over the x-axis.Item 25The function for g(x) is given by:
g(x) = f(-x).
This rule is for a reflection over the y-axis.
Item 26The function for g(x) is given by:
g(x) = 0.5f(x).
The multiplication by a number less than 1 means that it underwent a vertical compression, with the coefficient representing the scale factor.
Item 27For this problem, the parent function is:
f(x) = |x|.
The transformed function is:
g(x) = -2|x - 1| + 2.
The changes are given as follows:
x -> x - 1, meaning that the function was shifted one unit right.y -> y + 2, hence the function was shifted two units up.Multiplication by 2, hence the function was vertically stretched by a factor of 2.Multiplication by -1, hence the function was reflected over the x-axis.More can be learned about transformations at https://brainly.com/question/28174785
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What is the area of this trapezoid?
26 cm²
32 cm²
40 cm²
72 cm²
Answer:
area = 26 m²
Step-by-step explanation:
4x5 = 20
3x4x0.5 = 7.5
20 + 6 = 26 m²
Ganesh spend 60% of his income every month and saves Rs 11,120 in a month. Find his monthly income and expenditure.
Answer:
Rs 16,680
Step-by-step explanation:
Ok
let his income be 100%
he spends 60%
and saves 40%=11,120=Rs 27800=income answer
spend=60%
60÷40×11,120= Rs 16,680=expenditure answer
what is the probability that a positive integer less than 100 picked at random has all distinct digits
the probability that a positive integer less than 100 picked at random has all distinct digits is 90.
He has 99 positive integers less than 100.
The integers that do not have all distinct digits have the same digit twice.
11, 22, 33, 44, 55, 66, 77, 88, 99
There are 9 integers that do not have distinct digits, therefore there are 99-9 integers that do.
Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.
A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final results of an experiment. Getting a Heads whilst tossing a coin is an event.
Simple probability is the calculation of an outcome or the chance of an event ever taking place. coverage companies use possibility statistics to determine the possibilities of having to pay out a declare. A simple chance is calculated by way of dividing a particular outcome through all of the feasible outcomes.
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match each discription with the expression containing terms that model it.
Answer:
Step-by-step explanation:
find the value of x. round your answer to the nearest tenth.
Answer:
The answer is A. 77.
Step-by-step explanation:
Using trigonometry formula
We know, tan = opposite/adjacent
So, tan x° = 13/3
=> x° = \(tan^{-1}\)(13/3)
∴ x° = 77.005° ≈ 77.01°
Answer:
A 77
Step-by-step explanation:
Which of the following statements about check-cashing companies is FALSE?
Answer:
there are no statements...