Answer:
one solution
Step-by-step explanation:
* Lets start to solve the question
- The 1st equation x - y = -4
- The 2nd equation 3x + y = 8
- We will use the elimination method to solve this system of equation
∵ x - y = -4 ⇒ (1)
∵ 3x + y = 8 ⇒ (2)
- Add the two equation (1) and (2) to eliminate y
∴ x + 3x = -4 + 8
∴ 4x = 4
- Divide both sides by 4
∴ x = 1
- Substitute the value of x in equation (1) or equation (2) to find
the value of y
- We will use equation (1)
∴ 1 - y = -4
Subtract 1 from both sides
∴ -y = -5
- Divide both sides by -1
∴ y = 5
∴ The solution is (1 , 5)
* The system has one solution
The answer is D 33 because it starts by adding 1 and then doubles the amount added every time<span />
Answer:
Option D is the correct answer.
Step-by-step explanation:
We have vector u = 5 ( cos 75 i + sin 75 j ) = 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j ) = -5.19 i - 3 j
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j) = -3.90 i + 1.83 j = < -3.90, 1.83>
Option D is the correct answer.
Answer:24^4+13x²-7
Step-by-step explanation: calculate the products
(3x²-1)×(8x²+7)
calculate the parentheses
24x^4+21x^2-8x^2-7
collect like terms
solution
24x^4+13x^2-7
Answer:
<em>It takes 21 hours to fill the pool</em>
Step-by-step explanation:
Let's first plan out our problem at hand. If we were to determine the volume of this swimming pool by multiplication of it's dimensions (length * width * height) we could determine how long it would take to fill the pool by dividing this volume by the rate at which the pool fills. This is true as R = D/T, and here we isolate T (time) so that T = D/R, where D is the volume of the pool, and R is the rate at which it fills:
1. Calculate the volume of the pool -
V = length * width * height = 12 * 24 * 6 = 1728 cubic feet
2. Substitute R (rate) into T = D/R to find T (time) -
T = D/R = 1728/86 = (About) 20.09 hours
Now to round this value, we would have to round it up as sparing 20 hours would not fill the pool: 21 hours