Answer:
a = -7 and b = 1. The constant term is 4
Step-by-step explanation:
In standard form, this equation is -7x^2 + x + 4 = 0
The coefficients are a = -7 and b = 1. The constant term is 4.
Answer:
I got 17.
Step-by-step explanation:
Because it takes 4 days to make 20 small frames, it takes 8 days to make 40. And because it takes 3 days to make 21 frames, and 21 multiplied by 3 is 63 (one less than 64), it would take 9 days (3 times the amount for 21) to make 64 large frames. In all, it would take APPROXIMATELY 17 days (9 +8 is 17)
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :
where;
a = 12; b = -144 and c = 299
Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
Gemma gets 6 Biscuits and Zak gets 24 Biscuits.
There are three unknowns in this problem. First, let's assign variables for these unknowns.
Let
x be the amount received by the first friend
y be the amount received by the second friend
z be the amount received by the third friend
Next, we formulate equations for the relationships
x = 4z
z = 4y
x + y + z = <span>$231,000
Solving simultaneously,
4(4y) + y + 4y = </span><span>$231,000
21y = </span><span>$231,000
y = $11,000
z = 4($11,000) = $44,000
x = 4($44,000) = $176,000</span>
