Answer:
-35,35,0
Step-by-step explanation:
Let's organise our information :
Now let's add them together :
- x+xy²+x-xy²=250y-240y
- 2x=10y
- x=5y ⇒ y= x/5
Let's replace y by x/5 in the first equation :
- x+x*(x/5)²=250*(x/5)
- x+ (x∧3)/25 = 50x
- 49x-(x∧3)/25=0
- x(49-(x²/25))=0
- x=0 or 49-(x²/25)=0
- x=0 or 49= x²/25
- x=0 or x²=1225
- x=0 or x=
or x= -
- x=0 or x=35 or x= -35
so x=[0,35,(-35)]
Answer:
c
Step-by-step explanation:
To solve the equation we just substitute x with 7
so
5(7+3)
5*10
50
so the answer is c
(plz give brainliest)
Answer:
Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don't know the perimeter, calculate it from the side length: p = 5s, where s is the side length.
Step-by-step explanation:
Given:
x: [1 2 3 4 5 6 7]
y: [9 9.5 10.25 11.25 12.5 14 15.75]
Let the function which models the data be
y(x) = ax² + bx + c
Apply the function to the first three data points
a + b + c = 9 .(1)
4a + 2b + c = 9.5 (2)
9a + 3b + c = 10.25 (3)
Subtract (1) from (2).
3a + b = 0.5
or
b = 0.5 - 3a (4)
Subtract (1) from (3).
8a + 2b = 1.25 (5)
Substitute (4) into (5).
8a + 2(0.5 - 3a) = 1.25
2a = 0.25
a = 0.125
From (4),
b = 0.5-3*0.125 = 0.125
From (1),
c = 9 - 0.125 - 0.125 = 8.75
The function is
y = 8.75 + 0.125x + 0.125x²
Check that the function works for x=4,5,6,7.
From the calculator, obtain
y(4) = 11.25 Correct
y(5) = 12.5 Correct
y(6) = 14 Correct
y(7) = 15.75 Correct
The graph of the function is shown below.
Answer: y = 8.75 + 0.125x + 0.125x²
