Answer: No
Explanation: All the angles of a triangle has to add up to 180. The angles you provided adds up to 179, which does not equal 180. That means it can’t be a triangle.
<span><span>the basic formula is
</span><span>
c(x) = ax² + bx + c,
where x is the number of widgets produced, and c(x) is cost to produce x number
of widgets.
first we need to calculate a, b, and c from the quadratic formula using the
system of 3 equations.
So, the equations are:
1. c(2) = 16= a(2)² + b(2) + c = 4a + 2b + c </span></span><span>= </span><span><span>4a + 2b + c = 16
</span>
2. c(4) = 18= a(4)² + b(4) + c = 16a + 4b + c </span><span>= </span><span><span>16a + 4b + c = 18
</span>
3. c(10) = 48= a(10)² + b(10) + c = 100a + 10b + c </span><span>= </span><span><span>100a + 10b + c = 48
</span><span>
subtract equation 1 from equation 2:
16a + 4b + c - 4a - 2b - c = 18 - 16 </span></span>=<span><span> 12a + 2b = 2
</span><span>
subtract equation 1 from equation 3:
100a + 10b + c - 4a - 2b - c = 48 - 16 </span></span>=<span><span> 96a + 8b = 32
</span><span>
We have two equations now, multiply the first by 4 ( to equal out b):
12a + 2b = 2 = 48a +8b =8
now subtract these equations:
96a + 8b - 48a - 8b = 32 - 8
48a = 24 </span></span><span> </span>
<span><span>a = 24/48 = 1/2
</span><span>
If we know a, we can calculate b from the equation:
12a + 2b = 2
2b = 2 - 12a = 2 - 12 * 1/2 = 2 - 6 = -4
b = -4 ÷ 2 = -2
We have a and b. Let's calculate c:
4a + 2b + c = 16
c = 16 - 4a - 2b = 16 - 4 * 1/2 - 2 * (-2) = 16 - 2 + 4 = 18
so a = ½ , b = -2, c = 18
now calculate c(6)
<span> c(6) = 1/2(6)² - 2(6) + 18 = 1/2 * 36 - 12
+ 18 = 18 - 12 + 18 = 24</span></span></span>
<span><span><span>
</span></span></span>
<span><span><span> it costs $24 to produce 6 widgets</span></span></span>
I = PRT....looking for T...re-arrange......I / PR = T
I / PR = T
I = 720
P = 1000
R = 9% = 0.09
now we sub
720 / (1000)(0.09) = T
720 / 90 = T
8 = T <===
(x-6)/2 = x+13
x-6 = 2x + 26
x = -6-26 = -32
ONE SOLUTION.
2+6x-7 = 8+2x-10+4x
-5 + 6x = -2 + 6x
-5 = -2
This is not possible for any value of x ,
so NO SOLUTION
3x+5 = 1/5 (15x+10)
3x+5 = 3x+ 2
5 = 2
This is not possible for any value of x ,
so NO SOLUTION
1/4 (16+8x)= 3x-1-x+5
4 +2x = 2x +4
this is true for all values of x,
so, INFINITE SOLUTIONS.
Answer:
Market Price = MP
Cost Price = CP
P1 = (MP - 10%) - CP = Rs8
- CP = Rs8 - 0.90% MP
CP = 0.90 MP - Rs8
P2 = MP - CP = Rs20
- CP = Rs20 -MP
CP = MP - Rs20
0.90 MP - Rs8 = MP - Rs20
- 0.10% MP = - Rs12
0.10% MP = Rs 12
MP = Rs120p
CP = MP - Rs20 = Rs120 - Rs20 = Rs100.
The cost price of the item is Rs100.
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)