The given differential equation is y'' - 4y' + 4y = 0. To get two linearly independent solutions, we can use the characteristic equation method.
The characteristic equation for this differential equation is: r^2 - 4r + 4 = 0
This can be factored as (r - 2)^2 = 0. So, the root is r = 2 with multiplicity 2. Since the root has multiplicity 2, the two linearly independent solutions are: y1 = e^(2x) and y2 = x * e^(2x). So, the correct answer is d. y = e^(2x), y = x * e^(2x). To write the general solution of the differential equation, we can combine the linearly independent solutions with arbitrary constants C1 and C2: y(x) = C1 * e^(2x) + C2 * x * e^(2x)
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v divided by 2 + 15 = -4
Answer:
v = -38
Step-by-step explanation:
v/2 + 15 = -4
Subtract 15 from each side
v/2 + 15-15 = -4-15
v/2 = -19
Multiply by 2
v/2 *2 = -19*2
v = -38
Answer:
v = -38
Step-by-step explanation:
v/2 + 15 = -4
Isolate the variable -->
15-15 --> -4-15 --> 0, -19
v/2 = -19
Multiply both sides by 2 to get rid of the /2
-19 x 2 = -38 =>
v = -38
Hope this helps!
CAN SOMEONE HELP!!!!
Answer:
x int is where the line crosses the x axis. direct variation is proportional, straight line that goes through the origin. slope is the rate of change. y int is where the line crosses the y axis
PLS SOMEONE ANSWER THIS ITS EASY (MCQ)!!!
Answer:
i think itss B but im not 100 percent sure
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Fill blank boxes with the right answer.
Mrs. Favre sees that the Chicken Joint is having a sale. A small bucket of chicken usually cost $12.00 but today they are giving 30% off the small bucket.
How much will Mrs. Favre save on one small bucket of chicken? $______
What is the discount cost of one small bucket of chicken? $________
What is the discount cost of 5 small buckets? $______
Answer:
1. $3.60
2. $8.40
3. $42
Step-by-step explanation:
Hope this helps.
Find the values of a, b and c.
Answer:
∠a= 65°, ∠b= 115°, ∠c= 25°
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This is abbreviated to '∠ sum of ∆'.
∠c +55° +60° +40°= 180° (∠ sum of ∆PQR)
∠c +155°= 180°
∠c= 180° -155°
∠c= 25°
∠a +60° +55°= 180° (∠ sum of ∆PQS)
∠a +115°= 180°
∠a= 180° -115°
∠a= 65°
The sum of the angles on a straight line is 180°. It's abbreviation is 'adj. ∠s on a str. line'.
∠b +∠a= 180° (adj. ∠s on a str. line)
∠b +65°= 180°
∠b= 180° -65°
∠b= 115°
By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
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NEED ASAP DUE IN 1 HOUR
solve for x, 2^2=128
Answer:
x=32
Step-by-step explanation:
The function F gives the number of copies a book has sold W weeks after that it was published the equation FW equals 500×2 to the W power defines this function 
Select all domains for which the average rate of change could be a good measure for the number of books sold
Good models are expected to reflect the number of books sold between zero and w numbers of weeks where w is defined.
What is a domain?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Here, we have
Given: The function f gives the number of copies a book has sold w weeks after it was published. The equation f(w) = 500 * 2^w defines this function.
The following are all domains for which the average rate of change could be a good measure of the number of books sold:
0 ≤ w ≤ 2
0 ≤ w ≤ 7
0 ≤ w ≤ 10
Hence, good models are expected to reflect the number of books sold between zero and w numbers of weeks where w is defined.
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Mai made $95 for 5 hours of work.
At the same rate, how many hours would she have to work to make $133?
rewrite 7x 49 using a common factor. 7(x 7) 7(x 49) 7x(x 7) 7x(x 49)
The correct option is 7(x 7) by highest common factor.
The given expression is 7x49. We have to rewrite the given expression using a common factor.
To rewrite 7x 49 using a common factor, we can factor out 7.
7x49 can be written as 7 × x × 7 × 7.7x49 = 7 × x × 7 × 7
Therefore, the correct option is 7(x 7).
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*
#17) Michelle has 8 pints of milk. How many quarts of milk does she have?
Answer:
4 quarts
Step-by-step explanation:
1 quart = 2 pints
2 quart = 4 pints
3 quart = 6 pints
4 quarts = 8 pints,
therefore Michelle has 4 quarts of milk
hope i helped you!
PLEASE HELP!! I NEED IT DONE ASAP!!
Write the sentence as an equation:
367 equals the quotient of n and 204
367= n/204 ????? maybe
Is x(x-6)=20 a quadratic equation
We can distribute the outer x to each term inside
x(x-6) = x^2-6x
So the original equation turns into
x^2-6x = 20
Then you could subtract 20 from both sides to get everything to the same side
x^2-6x-20 = 20-20
x^2-6x-20 = 0
This quadratic equation is in the form ax^2+bx+c = 0 with a = 1, b = -6, c = -20.
The presence of the x^2 term, and having it be the largest exponent, is what makes this a quadratic.
What is the percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%.
The percent decrease is 25%.
The percent decrease is 80%.
Answer:
The percent decrease is 80%. or C.
Step-by-step explanation:
Hope this helps! (:
At the museum, 10% of the visitors were senior citizens. If there were 150 senior citizens , what was the total number of visitors?
Answer:
1500 visitors
Step-by-step explanation:
150=10%
10%*10=100%
So: 150*10=1500 visitors
Answer:
1,500
Step-by-step explanation:
10% of 1,500 is 150 basically
Jean bought 7 packages of sandwich meat.
Each package weighs 23 pound.
Answer:
Total is 23 times 7 which is 161 pounds
Step-by-step explanation:
you do 7 × 23 and u get 161
and thats how you figure it out
What is the slope below?
Kaylee deposits $500 into a savings account with a 3% intrest rate what will her balance be in 3 years
Answer: $576.99 in 3 years
Step-by-step explanation:
Answer:
546.36
Step-by-step explanation:
Interest rate calculator
-3x-11= -17 helppppppppppppppppppppp
Answer: X= -2
Step-by-step explanation: -3x -11 = -17
add 11 to both sides
which gives you -6 then you divide by negative 3x which gives you -2
Answer:
Step-by-step explanation:
3x - 11 = -17
3x - 11 + 11 = -17 +11
Simplify:
add the numbers
3x = -6
Divide both sides by the same factor:
\(\frac{3x}{3} = \frac{-6}{3}\)
Simplify (ANSWER):
x= -2
Math school please need help
Answer:
r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29
So the equation of this circle is
(x - 4)² + (y - 4)² = 29
You have an equally likely chance of choosing any integer from 1 through 50. Find the probability of the given event. A perfect square is chosen.
Answer:
The answer is 0.02
Step-by-step explanation:
1/50=0.02
Austin recorded the weights in pounds, of nine fish in an aquarium. The data is shown in the list.
8.7.5, 7.6, 3, 74, 7.9, 81,2,7.7
Move words to the blanks to describe the best measure of variability for this data.
The best measure of variability for the data is the
because the distribution is
The best measure of variability for the data is the range because the distribution is scattered.What is the range?The range of data is defined as the difference between the maximum value and the minimum value
. The list of weights is given below:8.7.5, 7.6, 3, 74, 7.9, 81,2,7.7The minimum value in the list is 3, and the maximum value in the list is 81. So, the drange is calculate as follows:Range = Maximum value – Minimum value= 81 – 3= 78The distribution is scattered because the range is relatively large.
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I don’t get how to divide with big numbers please help
Answer:
Step-by-step explanation:
Just think how many times each two number goes into the first two numbers
What numbers do i put in the blanks
The solutions of the system are y = -8 and x = 9.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
Given:
A system of equations,
5x + 6y = -3 {Equation 1}
8x + 8y = 8 {Equation 2}.
Multiply 8 into equation 1 and multiply by 5 into equation 2,
and subtract the equation,
we get,
40x + 48y - 40x - 40y = -24 - 40
8y = -64
y = -8 and x = 9
Therefore, the solutions are y = -8 and x = 9.
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The asymptote of f(x) = 5(2^x)
*
(Type an equation.)
Answer:
y=0
Step-by-step explanation:
Remark that exponential functions have horizontal asymptotes .
Graph attached
Figure B is a scaled copy of Figure A
What is the scale factor from Figure A to Figure B?
Answer:
\(1/2\)
Step-by-step explanation:
Because they are scaled copies, the ratios of the sides are equal.
Figure A has a base of 6 units by inspection.
Figure B has a base 3 units by inspection.
So, the scale factor from Figure A to Figure B is \(3/6=\boxed{1/2}\) and we're done!
The scale factor from Figure A to Figure B is 1/2
What is the scale factor from Figure A to Figure B?Figure A:
Base = 6 units
Height = 4 units
Figure B:
Base = 3 units
Heights = 2 units
Using Base of the shape:
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape
= 3 units / 6 units
= 1/2
Using Height of the shape:
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape
= 2 units / 4 units
= 1/2
Hence, 1/2 is the scale factor from Figure A to Figure B.
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Solve the following inequality. 8.2 – 1 < 15
Answer:
x < 2
Step-by-step explanation:
Solve this the way you would solve an equation:
\(8x - 1 < 15\\ 8x < 16\\x < 2\)
Answer:
x<2
Step-by-step explanation:
I need the answers noww plz
all of them plzzz
Answer:
1.
a. 70
b.40
c.130
d.130
e.95
f.115
2.
a.102
b.40
c.80
Hope it helps .
plz mark me brainest and follow me to get the answer faster.
Step-by-step explanation:
1.
a. Isosceles right triangle
a° = 180 - (90 + 20)
a° = 180 - 110 = 70
b. Isosceles acute triangle
a° = 180 - (70+70)
a° = 180 - 140 = 40
c. The three angles inside a triangle always add up to 180°
∠A = 180 - (70 + 60)
∠A = 180 - 130
∠A = 50
so a° = 180 - 50 = 130
d. Isosceles acute triangle
∠A = 180 - (65 + 65)
∠A = 180 - 130
∠A = 50
so a° = 180 - 50 = 130
e. The angles of a rectangle add up to 360°
a° = 360 - (100 + 95 + 70)
a° = 360 - 265
a° = 95
f. The angles of a rectangle add up to 360°
2a° = 360 - (70 + 60)
2a° = 360 - 130
2a° = 230
a° = 115
2.
a. Straight angle is 180°
180 - 141 = 39
so x° = 180 - (39 + 39)
x° = 180 - 78
x° = 102
b. The three angles inside a triangle always add up to 180°
180 - (40 + 60)
180 - 100 = 80
opposite angle
x° = 180 - (80 + 35)
x° = 180 - 115 = 65
c. The angles of a rectangle add up to 360°
(x + 20)° + x° = 360 - (90 + 90)
(x + 20)° + x° = 360 - 180
(x + 20)° + x° = 180
x° = 80
please give me a brainliest answer
What is the square root of -1?
Answer:
\( \sqrt{i} \)
Step-by-step explanation:
i = -1
This is a complex number
in here we take -1 = i