Answer:
30
Step-by-step explanation:
i did the math lol
<span>(f o g)(-4)
=-4(3x+5)+7
</span><span>=-4(3(-4)+5)+7</span><span>
= 35</span>
Answer:
The length of the rectangular field is 12 ft and the width is 5 ft.
Step-by-step explanation:
The area of a rectangle is:

The area of a rectangular field is, <em>A</em> = 60 ft.
The length of the field is:
l = w + 7
Compute the width of the field as follows:


Factorize the last equation by splitting the middle term as follows:

Now, since the width of rectangular field cannot be negative, the width is 5 ft.
Compute the length as follows:
l = w + 7
= 5 + 7
= 12
The length of the rectangular field is 12 ft.
Let us denote the number of tiles by

.
In the first store, if Darin bought

tiles, he would need to spend:

(measured in $)
In the second store, if Darin bought

tiles, he would need to spend:

(measured in $)
For the cost to be the same at both stores, it means (measured in $)

Moving

over to the left hand side and changing signs:

tiles
Let's check. If he buys 60 tiles in the first store, he spends:
$0.79×60 + $24 = $47.40 + $24 = $71.40
If he buys 60 tiles in the second store, he spends:
$1.19×60 = $71.40
∴
Darin needs to buy 60 tiles for the cost to be the same at both stores.