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den301095 [7]
2 years ago
5

(6)

Mathematics
1 answer:
andriy [413]2 years ago
3 0

Answer:

(b) 4x² and 3xy

Step-by-step explanation:

The terms of an expression 4x² – 3xy are:

The terms are the factors of the expression, which are 4x² and -3xy. The signal is not counted as a term. So the correct answer is given by option b.

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Find the solution to the initial value problem
Karo-lina-s [1.5K]

Answer:

y = (11x + 13)e^(-4x-4)

Step-by-step explanation:

Given y'' + 8y' + 16 = 0

The auxiliary equation to the differential equation is:

m² + 8m + 16 = 0

Factorizing this, we have

(m + 4)² = 0

m = -4 twice

The complimentary solution is

y_c = (C1 + C2x)e^(-4x)

Using the initial conditions

y(-1) = 2

2 = (C1 -C2) e^4

C1 - C2 = 2e^(-4).................................(1)

y'(-1) = 3

y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)

3 = -4(C1 - C2)e^4 + C2e^4

-4C1 + 5C2 = 3e^(-4)..............................(2)

Solving (1) and (2) simultaneously, we have

From (1)

C1 = 2e^(-4) + C2

Using this in (2)

-4[2e^(-4) + C2] + 5C2 = 3e^(-4)

C2 = 11e^(-4)

C1 = 2e^(-4) + 11e^(-4)

= 13e^(-4)

The general solution is now

y = [13e^(-4) + 11xe^(-4)]e^(-4x)

= (11x + 13)e^(-4x-4)

3 0
3 years ago
How many solutions exist for the system of equations graphed below?
tamaranim1 [39]

Considering the given graph, the number of solutions for the system of equations is given by:

b.) one

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In a graph, the number of solutions is given by the number of times the lines intersect. Hence, in this problem, the system has one solution, and option b is correct.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
The larger of 2 numbers is 23 greater than the smaller. Their sum is 28 less than 3 times the smaller number. Find the numbers
navik [9.2K]

Answer: 62

Step-by-step explanation:

7 0
3 years ago
What is?Two consecutive odd integers have a sum of -44. What are two odd integers?
9966 [12]
Let one odd integer = x

other odd integer = x +2

Sum = x + x+2 = -44

=> 2x + 2 = -44

=> 2x = -44 -2 = -46

=> x = -46/2 = -23

x+2 = -23 + 2 = -21

Integers are -23 and -21
5 0
3 years ago
Find the measure of &lt;4.<br> {<br> 44<br> 158°<br> {<br> 44 = [?]
VLD [36.1K]

Answer:

<4 = 22

Step-by-step explanation:

<4 = x

x + 158 = 180

x = 22

4 0
2 years ago
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