We let x and y be the measures of the sides of the
rectangular garden. The perimeter subtracted with the other side should be
equal to 92.
<span> 2x + y = 92</span>
The value of y in terms of x is equal to,
<span> y =
92 – 2x</span>
The area is the product of the two sides,
<span>
A
= xy</span>
Substituting,
<span> A
= x (92 – 2x) = 92x – 2x2</span>
Solving for the derivative and equating to zero,
<span> 0
= 92 – 4x ; x = 23</span>
Therefore, the area of the garden is,
<span> A
= 23(92 – 2(23)) = 1058 yard<span>2</span></span>
Answer:
Step-by-step explanation:
If we let x be the amount of live bait and y be the amount of natural bait, Then we can come up with the following inequalities;
We are told that John would like to get at least 3 pounds of live bait. At least 3 means 3 or more. Since x represents the amount of live bait, we have;
Moreover,we are informed that;
The store sells live bait for $12 a pound and natural bait for $7 a pound. x pounds of live bait would cost 12x while y pounds of natural bait would cost 7y. The total cost would thus be;
12x + 7y
but John only has a budget of $63. This implies that he can spend $63 at most, thus;
Finally we can have our last inequality as;
Answer:
The answer to your question is: letter A
Step-by-step explanation:
(x + 3) (3x² + 8x + 9) = 3x³ + 8x² + 9x + 9x² + 24x + 27
= 3x³ + 17x² + 33x + 27 Simplify like terms
Α. 3x3 + 17x2 + 33x + 27
Β. 3x3 + 17x2 – 15x + 27
C. 3x2 + x2 + 33x+ 27
D. 3x3 + 17x2 + 33x - 27
Answer:
slope = 4
Step-by-step explanation:
recall that for a linear equation in the form:
y = mx + b,
m = slope of line and b is the y-intercept.
In our case, we are given
y = 4x
If we compare this with the general equation above,
we can see that m = 6 and b = 0
hence slope = m = 4
Here there are 20 members in all.
Each member paid $2.60.
Total amount paid by members = 20 × 2.60 = $52
The club paid $47.50 to hire the hall. ......Answer
Hence the amount received by the hall = 52 - 4.50 = $ 47.50
The Hall charged $47.50 as the fee.