Answer:
zeros: -11 , 7
Line of symmetry: x = -2
Step-by-step explanation:
y = 2x² + 8x - 154 = 2*(x² + 4x - 77) = 2*(x+11)(x-7)
y = 0
x = - 11 or x = 7
line of symmetry: x = 1/2 (-11 + 7) = -2
2x² + 8x - 154 = 2*(x² + 4x +4) - 162 = 2 * (x+2)² - 162
vertex (h , k): h = -2 , k = -162
Line of symmetry: x = -2
I think it’s x>=-3
That means greater than or equal to btw :)
Answer:
Sequence: 13, 20, 27
Rule: Tn = 7n + 6
Step-by-step explanation:
The 3 other numbers that can form an arithmetic progression is 13, 20, 27...
The nth term of an arithmetic progression is expressed as;
Tn = a + (n-1)d
a is the first term = 13
n is the number of terms
d is the common difference = 20 - 13 = 27 - 20
d = 7
Substitute
Tn = 13 + (n-1)(7)
Tn = 13 + 7n - 7
Tn = 7n+13-7
Tn = 7n + 6
This gives the required rule
Answer:
1
Step-by-step explanation:
(1+sinx)/cosx
(1+sin0)/cos0
(1+0)/1
1/1
1
:. Lim x->0 =1
Answer:
![32,24,18,\frac{27}{2} ,\frac{81}{8}](https://tex.z-dn.net/?f=32%2C24%2C18%2C%5Cfrac%7B27%7D%7B2%7D%20%2C%5Cfrac%7B81%7D%7B8%7D)
Step-by-step explanation:
Let x, y , and z be the numbers.
Then the geometric sequence is ![32,x,y,z,\frac{81}{8}](https://tex.z-dn.net/?f=32%2Cx%2Cy%2Cz%2C%5Cfrac%7B81%7D%7B8%7D)
Recall that term of a geometric sequence are generally in the form:
![a,ar,ar^2,ar^3,ar^4](https://tex.z-dn.net/?f=a%2Car%2Car%5E2%2Car%5E3%2Car%5E4)
This implies that:
a=32 and ![ar^4=\frac{81}{8}](https://tex.z-dn.net/?f=ar%5E4%3D%5Cfrac%7B81%7D%7B8%7D)
Substitute a=32 and solve for r.
![32r^3=\frac{81}{8}](https://tex.z-dn.net/?f=32r%5E3%3D%5Cfrac%7B81%7D%7B8%7D)
![r^4=\frac{81}{256}](https://tex.z-dn.net/?f=r%5E4%3D%5Cfrac%7B81%7D%7B256%7D)
Take the fourth root to get:
![r=\sqrt[4]{\frac{81}{256} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B81%7D%7B256%7D%20%7D)
![r=\frac{3}{4}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3%7D%7B4%7D)
Therefore ![x=32*\frac{3}{4} =24](https://tex.z-dn.net/?f=x%3D32%2A%5Cfrac%7B3%7D%7B4%7D%20%3D24)
![y=24*\frac{3}{4} =18](https://tex.z-dn.net/?f=y%3D24%2A%5Cfrac%7B3%7D%7B4%7D%20%3D18)
![z=18*\frac{3}{4} =\frac{27}{2}](https://tex.z-dn.net/?f=z%3D18%2A%5Cfrac%7B3%7D%7B4%7D%20%3D%5Cfrac%7B27%7D%7B2%7D)