Answer:
Option D. Marcelina spends less that the intended amount of money and buy less than enough corn
Step-by-step explanation:
Let
x----> is the amount of white corn she buys
y ---> is the amount of yellow corn she buys
we know that
She needs to buy 50 kg of corn in total
so
----> equation A
She wants to spend $12 dollars total
so
----> equation B
The solution of the system of equations is the intersection point both graphs
The solution is the point (30,20)
That means
Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn
we have the ordered pair F(15.15)
That means
15 kg of white corn and 15 kg of yellow corn
therefore
Total kg of corn bought is


Total spend is


therefore
Marcelina spends less that the intended amount of money and buy less than enough corn
Its linear , if side is x then perimeter is 4x
I hope this helps, if you have any further questions don't hesitate to ask
we are given

Firstly, we will simplify left side
and then we can solve for k
Left side is

we can arrange like terms



now, we can use property of exponent



now, we can equate it with right side
and we get

We can see that both sides have 30 , a and b
and they are equal
so, exponent of a must also be equal

now, we can solve for k

................Answer
Answer:
-sqrt(3) -i = 2 cis (7pi/6)
Step-by-step explanation:
-sqrt(3) -i
We can find the radius
r = sqrt( (-sqrt(3)) ^2 + (-1) ^2)
= sqrt( 3 + 1)
= sqrt(4)
= 2
theta = arctan (y/x)
arctan (-1/-sqrt(3))
arctan (1/sqrt(3))
theta = pi/6
But this is in the first quadrant, and we need it in the third quadrant
Add pi to move it to the third quadrant
theta = pi/6 + 6pi/6
=7pi/6
-sqrt(3) -i = 2 cis (7pi/6)
6 apartments in 2.5 hours
30 apartments in ? Hours
6/2.5=30/x
6x=(30)(2.5)
x=75/6
x=12.5 hours