You did not give us the function
Answer: Option D.
Step-by-step explanation:
this is a quadratic equation of the form:
y = ax^2 + bx + c
First, things you must see.
The graph opens up, so we must have thata a is greater than zero, so we can discard the first option.
Second, we can see that the vertex is located in x ≈ 70
The vertex of a quadratic equation is: x = -b/2a
so we have:
70 = -b/2a
let's try our options and see if we can discard other:
B:
-b/2a = 69.9/2 = 34.95
we can discard this option.
C:
-b/2a = 78/2 = 39 we can discard this option.
D:
-b/2a = 69.9/2*0.5 = 69.9
This is the only one that fits, so this is the correct option.
Answer:
2.45 tons
Step-by-step explanation:
square root of the sum of each number squared
Answer:
x=3
Step-by-step explanation:
log₂(3x-1)=3
(3x-1)=2³
3x-1=8
3x=8+1
3x=9
x=9/3
x=3
De Moivre's Theorem states that if a complex number is written in the polar coordinate form [ r (cosθ +

sinθ)] and you raise it to the power n, then this can be evaluated by raising the modulus (r) to the power and multiply the argument (θ) by the power. This therefore would give r ⁿ [cos (nθ) +

sin (nθ)].
let A = ∛ <span>(8 cos (4π / 5) + 8 i sin (4π / 5))
</span>⇒ A = ∛ <span>(8 [cos (4π / 5) + i sin (4π / 5)])
</span>
Now by applying De Moivre's Theorem,
⇒ A =

[cos (

×

) +

sin (

×

)
⇒ A = 2 [ cos (

) +

sin (

)
⇒ A = 2 [0.0117 +

0.01297 ] rads