Patrick has a truck that is currently worth $13,000. Each year the truck will depreciate by $300. Which equation represents the number of years Patrick will have to wait until the truck is worth $12,100? ólólölő 13,000 - 300M = 12,100 12,100M + 300 = 13,000 300M + 13,000 = 12,100 12,100 - 300M = 13,000 ​

Answers

Answer 1
Answer:

Answer:          

what? specify


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The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.What is the constant of the quadratic expression in this equation?

x2 + x + ___ = 0

Answers

Answer:

  • The product of two consecutive integers is 420:

20*21 = 420 and (-21)*(-20) = 420

  • What is the constant of the quadratic expression in this equation?

Any constant less or equal than 0.25

Step-by-step explanation:

The product of two consecutive integers is 420 can be expressed mathematically as follows:

x*(x+1) = 420

After applying distributive property and subtracting 420 at both sides, we get:

x^2 + x - 420 = 0

In order to factorise, we use the quadratic equation as follows:

x = (-b \pm √(b^2-4(a)(c)))/(2(a))

x = (-1 \pm √(1^2-4(1)(-420)))/(2(1))

x = (-1 \pm √(1681))/(2)

x = (-1 \pm 41)/(2)

x_1 = (-1 + 41)/(2)

x_1 = 20

x_2 = (-1 - 41)/(2)

x_2 = -21

Then, 20*21 = 420 and (-21)*(-20) = 420

A quadratic equation with the standard form has a solution to the equation:  a*x^2 + b*x + c = 0 if its discriminant is greater or equal than zero. Mathematically:

b^2-4(a)(c) >= 0

Here a = 1 and b = 1; then,

1^2-4(1)(c) >= 0

-4(c) >= -1

c <= -1/-4

c <= 0.25

x(x + 1) = 420
x^2 + x = 420
x^2 + x + (- 420) = 0 or x^2 + x - 420 = 0

What is X? 3(4x−3)= -4+7

Answers

x = 1

Step-by-step explanation:

3(4x - 3) =  - 4 + 7

Expand:

3(4x - 3) = 12x - 9 \n 12x - 9 =  - 4 + 7

Simplify:Addvalues

12x - 9 = 3

Collect like terms and simplify

12x = 3 + 9 \n 12x = 12

Divide both sides of the equation by12

(12x)/(12)  =  (12)/(12)

Simplify

x = 1

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

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P(A) = 0.44 What are the odds for A?

Answers

P(A)=0.44=(44)/(100)=(11)/(25)\n\n11\ odds\ on\ 25
0,44 = 44 / 100

44 odds on 100

What quadrant would the ordered pair (–4,–6) fall in?

Answers

Answer:

The ordered pair (-4,-6) is in the 3rd quadrant

Step-by-step explanation:

If we have an ordered pair (a,b), they would fall in:

  • 1st quadrant: if a and b are positive
  • 2nd quadrant: if a is negative and b is positive
  • 3rd quadrant: if a and b are negative
  • 4th quadrant: if a is positive and b is negative

Then, taking into account that -4 and -6 are negative numbers, the ordered pair (-4,-6) belong to the 3rd quadrant

QUADRANT 3 IS the right answer

??What's the balance ??

Answers

I think the answer is A because the balance after 4 years is not on their and so we are trying to find the balance after three years. And after 3 years the balance is 805
I believe it's A.
Hope this helps.

Evaluate 4r(t – v) if r = 3, t = 5, and v = 2.

Answers

4r(t-v) r=3, t=5, and v=2
4*3(5-2)
12(3)
36
4r(t – v) if r = 3, t = 5, and v = 2.

4.3(5-2) = 12.3 = 36