Answer:
Step-by-step explanation:
I can guess what the instructions are, but it'd be helpful if you were to share them.
3x^2 - 5x - 1 = 0 is a quadratic with coefficients {3, -5, -1}. Find the discriminant b^2 - 4ac: 25 - 4(3)(-1) = 13.
Because the discriminant is positive, we know we have two unequal real roots here. Continuing with the quadratic formula, we obtain:
-(-5) ±√13 5 ± √13
x = ----------------- = ----------------
2(3) 6
Divide the number of products by the time.
unit rate = (14 products)/(45 minutes) = 0.311 products/minute
Since there are 60 minutes in an hour, if you want the unit rate in products per hour, just multiply what we got above by 60.
unit rate = 18.667 products/hour
Answer:
8 ounces of canned tomatoes and 1 cup of cooked macaroni.
Step-by-step explanation:
Since the recipe makes 8 servings and you only want to make 2 servings, all you have to do is divide the amount of ingredients by 4.
If 8 servings call for 32 ounces of canned tomatoes, we only need 8 ounces of canned tomatoes to make 2 servings.
If 8 servings call for 4 cups of cooked macaroni, we only need 1 cup of cooked macaroni to make 2 servings.
Answer:
A. 18°
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Hence
sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°
Answer:
The width of the frame is equal to
Step-by-step explanation:
Let
x-------> the width of the frame picture
we know that

Simplify

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
----> this solution is not logic
The width of the frame is equal to