Answer:
Step-by-step explanation:
we have
This is the equation of a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
The equation of a vertical parabola into vertex form is
where
(h,k) is the vertex of the parabola
Convert the equation into vertex form
Move the constant term to the left side
Complete the square
Rewrite as perfect squares
therefore
The vertex is the point (-1,-6)
A(n)=4+4(n-1)
a(n)=4+4n-4
a(n)=4n
76=4n
n=19
The sum of any arithmetic sequence (series are infinite) is:
(a+a(n))(n/2)
The average of the first and last terms times the number of terms, in this case we found that n=19 so:
19(4+76)/2=760
Answer:
Phrases 2 and 4.
Step-by-step explanation:
6.5x+1.5<21
The sum of 1.5 and the product of 6.5 and a number is no greater than 21.
The product of 6.5 and a number, when increased by 1.5 is at most 21.
HOPE IT HELPS
(FROM CROSS)
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Solution</u>
- - 6x + (-4x) = -50
- -10x = -50
- x = -50/-10
- x = 5
- y = -4*5 = -20
Answer: 18
Step-by-step explanation: 5m - 7 = 6m + 11
Solve for M
5m - 6m = 11+ 7
-m = 18
Divide both sides by -1
-m/-1 = 18/-1
m = -18
