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3 years ago

Multiply and simplify out theese brackets(X+1)(x+3)

1 answer:

6 0

The method in which you do this problem would be to FOIL. First Outer Inner Last. You take the first terms and multiply them. x*x = x^2 (x to the second power). Then you do it with the rest of foil.
x*x = x^2
x*1 = x
x*3 = 3x
1*3 = 3
x^2 + x + 3x + 3 = X^2 + 4x + 3

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Find the general solution of the differential equation. (Use C for any needed constant.) dy dx = 1 − y

daser333 [38]

Answer:

Step-by-step explanation:

Give the DE

dy/dx = 1-y

Using variable separable method

dy = (1-y)dx

dx = dy/(1-y)

Integrate both sides

∫dx = ∫dy/(1-y)

∫dy/(1-y)= ∫dx

-ln(1-y) = x+C

ln(1-y)^-1 = x+C

Apply e to both sides

e^ln(1-y)^-1 = e^,(x+C)

(1-y)^-1 = Ce^x

1/(1-y) = Ce^x

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3 years ago

Two functions are given below. How does the graph of

tensa zangetsu [6.8K]

I think it’s C. I plugged it on to a graph and shows that graph a is steeper than graph b. red is graph a. blue is graph b.

7 0

3 years ago

Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a

Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

Maximum or minimum: f'(x) = 0

Maximum: f'(-3) = 0 and f(-3) = 3

Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0 (1)

f'(1) = 0 leads 3a + 2b + c = 0 (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3 (3)

f(1) = 0 leads a + b + c + d = 0 (4)

(1) - (2): 24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4) -28a + 8b - 4c = 3 (5)

(1) * 4 + (5): 80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

f(x) = (3x³ + 9x² - 27x + 15)/32

3 0

2 years ago

4 times a number is 32 less than the square of that number. Find the negative solution.

zvonat [6]

Answer:

The negative solution is -4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

(x - 8) (x + 4) = 0

(x₁ - 8) = 0

(x₂ + 4) = 0

x₁ = 8

x₂ = -4

The negative solution is -4

3 0

2 years ago

Marie is purchasing a $108,000 home with a 30 year ortgage at 5.25%. What is her monthly principal and interest payment

schepotkina [342]

Answer:

Monthly interest rate is r=0,004375

Monthly principal c=590,625

Step-by-step explanation:

Monthly interest payment rate :

$r=\frac{5.25}{12}:100=0,0004375$

Now, we need to find monthly principal payment : $c=\frac{rP}{1-(1+r)^{-N}}$

Use this rule : $N=30*12=360$

P=108000

r=0,004375

$c=\frac{0.004375*108000}{1-(1+0.004375)^{-360}} =\frac{472.5}{0.8}=590,625$

5 0

3 years ago

Read 2 more answers