Answer:
maximum value y = 30
Step-by-step explanation:
Given
- x² + 10x + 5
To complete the square the coefficient of the x² term must be 1
factor out - 1
= - (x² - 10x) + 5
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 10x
= - (x² + 2(- 5)x + 25 - 25) + 5
= - (x - 5)² + 25 + 5
= - (x - 5)² + 30 ← in vertex form
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Hence vertex = (5, 30)
The max/ min occurs at the vertex
Since a < 0 then vertex is a maximum
Hence maximum value is y = 30
There is no common term
Between 2l and l its l
Between 2l and 2 its 2
Between 2 and l there are no common terms, so between 2 l and 2l also there are no common terms
V(t) = 2t^2 - 3t - 3
for an acceleration a(t),
a(t) = d (v(t)) / d t
a(t) = 4t - 3
at t=2
a(2) = 8 - 3
a(2) = 5 feet/s^2
Answer:
Step-by-step explanation:
y = 3x + 4
Plugin x = 3 in the equation,
y = 3*3 + 4
= 9 + 4
y = 13
Plugin x = 4 in equation,
y = 3*4 + 4
= 12 + 4
y = 16
Plugin x = 5 in the equation,
y = 3*5 + 4
= 15 + 4
y = 19
2) y =x - 7
Plugin x = 10 in the equation
y = 10 - 7
y = 3
Plugin x = 15 in the equation
y = 15 - 7
y = 8
Plugin x = 20 in the equation
y = 20 - 7
y = 13
Answer:
it would be 1385
Step-by-step explanation: because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place 4 and look one place to the right for the rounding digit on the right side of the decimal point 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5
So the answer is 1385
