4x-3y=17......(1)
5x+4y=60......(2)
Multiply equation (1) by 4 and equation (2) by 3:-
16x - 12y = 68
15x + 12y = 180
Adding these 2 equations:_
31x = 248
x = 248/31 = 8
Now substitute x = 8 in equation (1):-
4(8) - 3y = 17
32-3y = 17
-3y = -15
y = -15/-3 = 5
So solution is x=8,y=5
190/5 = 38
So, they can make 38 quarts in an hour.
38 * 36 = 1,368
They can make 1,368 quarts in 36 hours.
The answer:
8 times
Explanation:
If you divide 168 by 20, you get 8.4, and the whole number is 8 so that’s the answer.
The speed of a yacht traveling a distance of 1.357 km in 165 minutes is 0.5 km/h
<h3>What is Speed?</h3>
The speed of an object is the distance covered by the object in respect to time.
Mathematically:
- We know that 60 minutes = 1 hour
- 165 minutes = 2.75 hours
Speed = 0.5 km/hour
Learn more about calculating speed here:
brainly.com/question/4931057
9514 1404 393
Answer:
(c) P(x) = x^4 +3x^3 -10x^2 -30x
Step-by-step explanation:
If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.
Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...
P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))
P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)
P(x) = x^4 +3x^3 -10x^2 -10x
