Answer:
C. y= 3(x + 2)^2 + 2
Step-by-step explanation:
A. Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
2
,
−
2
)
B. Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
−
2
,
2
)
C. Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
−
2
,
2
)
D. Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
2
,
2
)
Answer:
36cm
Step-by-step explanation:
The solutions would be +0.37 and -0.37.
When completing the square, we take 1/2 of the value of b (in this case 5). 5/2=2.5. We then square this number: 2.5²=6.25. We add this value to both sides of the equation:
x²+5x+6.25 = 2+6.25
(x+2.5)² = 8.25
Take the square root of both sides:
√(x+2.5)² = √8.25
x + 2.5 = 2.87
Subtract 2.5 from both sides:"
x+2.5-2.5 = 2.87-2.5
x = 0.37
We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.
Answer:
Recursive rule for arithmetic sequence = an = a[n-1] + 3
Step-by-step explanation:
Given arithmetic sequence;
-7, -4, -1, 2, 5, …
Find:
Recursive rule for arithmetic sequence;
Computation:
Let a1 = -7
So,
⇒ a2 = a1 + 3 = -4
⇒ a3 = a2 + 3 = -1
⇒ a4 = a3 + 3 = 2
⇒ a5 = a4 + 3 = 5
So, the recursive formula is
⇒ an = a[n-1] + 3
Recursive rule for arithmetic sequence = an = a[n-1] + 3
Answer :Anita's age = 7 years
Basilio's age = 2.5 years
Step 1. Assign variables to Anita's and Basilio's ages.
Anita's age = A
Basilio's age = B
Step 2. Use the information given to form two equations.
Anita is 4-1/2 years older than Basilio
A = 4.5 + B
Three times Anita's age added to six times Basilio's age is 36
3A + 6B = 36
Step 3. Substitute the value of A from first equation in to the second equation and solve for B
3(4.5 + B) + 6B = 36
13.5 + 3B + 6B = 36
13.5 + 9B = 36
9B = 36 - 13.5
9B = 22.5
B = 22.5/9 = 2.5
Step 4. Find the value of A
A = 4.5 + 2.5 = 7
Answer:
Anita's age = 7 years
Basilio's age = 2.5 years
