Option 2. 
shows the correct way to use the quadratic formula to solve the given equation.
Step-by-step explanation:
Step 1:
For an equation of the form 
the solution is 
.
Here a is the coefficient of 
, b is the coefficient of x and c is the constant term.
can also be written as 
Comparing 
with , we get that a is 1, b is -4 and c is -21.
To get the solution, we substitute the values of a, b, and c in .
Step 2:
Substituting the values, we get
This is option 2.
Time=distance/speed
621÷51.75
=12
So it takes 12 hours
answer:number of cupcakes sold is 13 Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Victor sold. Let y represent the number of cookies that Jane sold. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13
Answer:
Yes it is a proportional relationship
Step-by-step explanation:
That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.
<h3>
Answer: -6/5</h3>
Explanation:
The blue diagonal line goes through the two points (0,2) and (5,-4). These are shown as the dark blue enlarged points. You can pick any other points you want that are on the diagonal line, though these are the easiest as they stand out the most.
Use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-4-2)/(5-0)
m = (-6)/(5)
m = -6/5
The negative slope means the line goes downhill as you move from left to right along the diagonal line.
