Answer:
755
Step-by-step explanation:
DeltaMath
X = 10 * 3^n
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Answer:
f(x) = 4x^2 + 2x - 4.
Step-by-step explanation:
Let the quadratic function be y = f(x) = ax^2 + bx + c.
For the point (-2, 8) ( x = -2 when y = 8) we have:
a(-2)^2 + (-2)b + c = 8
4a - 2b + c = 8 For (0, -4) we have:
0 + 0 + c = -4 so c = -4. For (4, 68) we have:
16a + 4b + c = 68
So we have 2 systems of equations in a and b ( plugging in c = -4):
4a - 2b - 4 = 8
16a + 4b - 4 = 68
4a - 2b = 12
16a + 4b = 72 Multiplying 4a - 2b = 12 by 2 we get:
8a - 4b = 24
Adding the last 2 equations:
24a = 96
a = 4
Now plugging a = 4 and c = -4 in the first equation:
4(4) - 2b - 4 = 8
-2b = 8 - 16 + 4 = -4
b = 2.
(180-30)/2 would be the equation and the answer is 150/2
1. 2x+3=4x+2
⇒ 4x-2x=3-2
2x=1
x=1/2
There is one solution.
2. 18p-10p=5+6/2
8p=5+3
8p=8
p=8:8
p=1
3. 6a/3=2a
2a-a= -2 -3
a= - 5
4. 5+r-2=9,
5-2+r=9
3+r=9
r=9 - 3
r=6
5. -0,9 m= 9
m= - 10
6. -2 (x+1/4)=5-1=4
x+1/4= -2
x= -2 - 1/4
x= -8/4 - 1/4= - 9/4
7. 6f+4f= 6 + 12
10 f = 18
f=18/10=1,8
8. 7n - 3n= 16
4n=16
n=16:4
n=4
9. 1/3m-5/6m= - 15 - 3
2/6 m-5/6=-18
- 3/6m=-18 ⇒ 1/2m=18
m=2*18=36
