Answer:
68
Step-by-step explanation:
too easy
Answer:

Given,


Now,

Use the algebraic identity ⇻ (a - b)² = a² - 2ab + b²

✐ So, the value of 9x² + 4y² - 1 is <u>24 + 12xy</u>
Now,
xy = - 2
So, 12xy = 12 × - 2 =<u> - 24</u>
•°• 24 + 12xy
= 24 + (-24)
= 24 - 24
= <u>0</u>
<h3>
⎆ The value of 9x² + 4y² - 1 is
<u>0</u>.</h3>
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Answer: 720 ways
Step-by-step explanation:
Given
A train has 1 main engine and remaining 6 train cars
If the engine is always in the front the remaining train cars can be arranged is

Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms
= - 0.6(x² - 7x) + 240
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 7x
f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240
= - 0.6 (x - 3.5)² + 7.35 + 240
= - 0.6(x - 3.5)² + 247.35
with vertex = (3.5, 247.35 )
The maximum value is the y- coordinate of the vertex
Then
f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35