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
Answer: 
Step-by-step explanation:
The standard form of a circle is written as such:
Where (h, k) is the center of the circle, and r is the radius.
We know that the center is (-7, 0), so we can plug that into the equation like this: 
The radius is 3 * the square root of 3. To square this, we can multiply 3 squared and the square root of 3 squared:
So, your standard form equation is the following:
700 because the 9 in the tenth place is larger than 5
Answer:
14x+5=105
14x=105-5
14x=100
x=7.14285714286
Step-by-step explanation:
Answer:
vertex = (- 5, - 8)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the x- coordinate of the vertex is
= - 
Given x² + 10x = - 17 ( add 17 to both sides )
x² + 10x + 17 = 0 ← in standard form
with a = 1, b = 10, c = 17, then
= - 
= - 5
Substitute x = - 5 into the quadratic for the corresponding value of y
y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8
Hence vertex = (- 5, - 8)
