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2 years ago

Consider the algebraic expression 3x + 4.State the following

2 answers:

7 0

1.How many terms are there? A term can be a signed number, a variable, or a constant multiplied by a variable or variables

There are 2

2.What is the constant term? Constants are the terms in the algebraic expression that contain only numbers.


Only 1

3.State the coefficient of the algebraic term.? Coefficient is a term that comes before the Variable term

Answer is the number 3 (you see before the letter x)

4.Write the operation symbol.

Answer is : + (the plus sign)

dalvyx [7]2 years ago

5 0

1)There is 2 terms. 3x and 4. 2)The constant term is 4. 3)The coefficient is 3 because it is next to x. 4)+

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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

2 years ago

The area of a rectangle is 259 cm2 and its lenght is 18.5 cm find

crimeas [40]

The breadth of rectangle is 14 cm

The perimeter of rectangle is 65 cm

Solution:

Given that,

Area of rectangle = 259 square centimeter

Length of rectangle = 18.5 cm

The area of rectangle is given by formula:

$Area\ of\ rectangle = length \times breadth$

<h3>Find the breadth:</h3>

Substitute the given values in above formula:

$259 = 18.5 \times breadth\\\\breadth = \frac{259}{18.5}\\\\breadth = 14$

Thus breadth is 14 cm

<h3>Find the perimeter:</h3>

The perimeter of rectangle is given by formula:

$Perimeter = 2(length + breadth)$

Substitute the given values in above formula:

$perimeter = 2(18.5+14)\\\\perimeter = 2(32.5)\\\\perimeter = 65$

Thus perimeter of rectangle is 65 cm

7 0

2 years ago

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 7 · (6 · t) and

Georgia [21]

The two expressions are equivalent because the associative property of multiplication is applied, which means that no matter where you put the parenthesis, the two expressions will still be equal.

5 0

2 years ago

8. Aimi decided to spend her money and save some in the ratio of 3:2. If her total money is RM

Bogdan [553]

Step-by-step explanation:

2/5×7500

2×1500

3000

RM=3000

3 0

2 years ago

Help please! make sure to tell me the answer and an explanation!

soldier1979 [14.2K]

Answer: 10

Step-by-step explanation:

So since this is all about perimeter you just got to add the values together. So lets use 12 as the denominator for every fraction. 1/4 is equal to 3/12 and 2/3 is equal to 8/12. So in conclusion 3/12 plus 8/12 and 1/12 will equal 1 in total. and then add up all the whole numbers 4 + 2 + 3 + 1 will get you 10. So 10 is your answer.

Please make me brainliest

8 0

2 years ago