Answer:
1) A
2) min; min; max; max
3) y = x² + 5x - 3
Step-by-step explanation:
f(x) = x² + 2(x)(5) + 5² - 5² + 24
f(x) = (x + 5)² - 25 + 24
f(x) = (x + 5)² - 1
In ax² + bx + c,
if a > 0, it's a min
if a < 0, it's a max
y = ax² + bx + c
Using (0,-3)
-3 = a(0)² + b(0) + c
c = -3
y = ax² + bx - 3
Using (1,3)
3 = a + b - 3
a + b = 6
Using (-1,-7)
-7 = a(-1)² + b(-1) - 3
-7 + 3 = a - b
a - b = -4
b = a + 4
a + (a + 4) = 6
2a = 2
a = 1
b = 5
y = x² + 5x - 3
Answer:
200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.
Step-by-step explanation:
Let x mg sodium is in 1 oz of chips and and y mg is in 1 cup of soda.
∵ Bryan ate 3 oz of chips and drank 2 cups of soda for a total of 700 mg of sodium.
i.e. 3x + 2y = 700 --------(1),
Jadyn ate 1 oz of chips and drank 3 cups of soda for a total of 350 mg of sodium.
i.e. x + 3y = 350 ---------(2),
Equation (1) - 3 × equation (2),
We get,
2y - 9y = 700 - 1050
-7y = -350

From equation (1),
3x + 2(50) = 700
3x + 100 = 700
3x = 700 - 100
3x = 600

Hence, 200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.
Here are the answers to the questions above:
1. Based on the list of fees above, the one that does not contribute to the <span>initial cost of leasing a car is the FINAL PAYMENT. Answer would be option B.
2. In leasing a car, the amount that does not affect the total cost is the PRINCIPAL CHARGE, and the answer for this is option A.
Hope this helps.</span>
Answer:
x = 1 and x = 
Step-by-step explanation:
In this equation, a=5, b=-1, c=-4.
Plug these into the quadratic formula:
x =
and x = 
Now, simplify the equations:
x =
=
=
= 1
and
x =
=
=
= 