The expression that represents the profit is: ( 5x2 + 2x – 80)-(<span>5x2 – x + 100)
Profit can be modeled by polynomial expression: 3x-180
If 1,000 video game systems are sold, the company's profit is: $2,820</span>
Answer:
x = -1, y = 1
Step-by-step explanation:
Given that:
Isolate x for 4x + 11y = 7 which ⇒ 
Substitute into the equation: which is:
Drop Down to:
Isolate y for 7-8y = -1: y = 1
Thus,
Substitute y = 1
Hence,
Solution ⇒ x = -1 and y = 1
<u><em>~learn with lenvy~</em></u>
Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.
Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!
Answer:
I think its 12.56
Step-by-step explanation:
Multiply 4 and 3.14(thats pi)
