The average would be the total yards divided by the number of carries:
Rewrite 15 3/4 as 63/4
Now divide by 7:
63/4 / 7 =
63/4 x 1/7 = 63/28 = 2 1/4
Because the total yards was a loss, which would be a negative number, the average is - 2 1/4 yards per play.
Step-by-step explanation:
Answer: A. Ounces of water consumed compared with the number of same-size bottles drunk
Step-by-step explanation:
When a quantity changes uniformly with respect to the change of other quantity, then we say there is a constant rate of change.
Thus, if one quantity is directly proportional to the other quantity then there is constant rate of change.
A. Ounces of water consumed is directly proportional to the number of same-size bottles drunk. Hence there is a constant rate of change of ounces water with respect to the number of same-sized bottles.
Rest of other options do not have directly proportionality relation between the quantities.
Answer:
a = 1 b = -1.
Step-by-step explanation:
Suppose the quotient when you divide x^4+x^3+ax+b by x^2 + 1 is
x^2 + ax + b then expanding we have:
(x^2 + 1)(x^2 + ax + b)
= x^4 + ax^3 + bx^2 + x^2 + ax + b
= x^4 + ax^3 + (b + 1)x^2 + ax + b Comparing this with the original expression:
x^4 + x^3 + 0 x^2 + ax + b Comparing coefficients:
a = 1 and b+ 1 = 0 so b = -1.
Answer:
see below
Step-by-step explanation:
0 = x^2 + 6x – 10
Add 10 to each side
10 = x^2-6x
Take the coefficient of x
-6
Divide by 2
-6/2 =-3
Square it
(-3)^2 =9
Add 9 to each side
10+9 = x^2-6x+9
We use -3 for the square term
19 = (x-3)^2
Take the square root of each side
±sqrt(19) = x-3
Add 3 to each side
3±sqrt(19) = x
