Answer:
Domain: -∞≤x≤∞
Range: 0≤F(x)≤∞
Step-by-step explanation:
The x variable can take any value.
In the case of F(x), the function only can take positive values, due to the absolute value function, and the function does not have any other restriction.
Answer:
its pretty simple
Step-by-step explanation:
8 x 8 x 4, so (8 x 8) x 4
64 x 4 = 256
Given:
The triangles DEF is similar to GHF.
The objective is to find a similar ratio of DF/DE.
Explanation:
Using the basic proportionality theorem, for the similar triangles DEF and GHF,
Considering the first two ratios of equation (1),
On interchanging the segments further,
Hence, the required segment in the blanks is GF/GH.
Answer:
3.7*10⁷ people.
Step-by-step explanation:
Estimated population of California = 3.9*10⁷ people
Estimated population of Maine = 1.3*10⁶ people.
Let x represent the estimated number of people that live in California more than Maine.
The number of people that live in California more than Maine can be found by finding the difference between the population of California to Maine.
No. Of people living in California - no. Of people living in Maine = estimated no of people that live in California more than Maine.
X = 3.9*10⁷ - 1.3*10⁶
X = 3.7*10⁷ people
About 3.7*10⁷ people live more in California than Maine
First of all, I must assume that the correct cost for carpet is $4.25 per <em><u>square</u></em> foot.
It could be $4.25 per foot if it came of a standard roll, but then I would need to know the width of the roll, which you haven't given.
Area of the room = (15-ft x 14-ft) = 210 square feet
Area of the closet = (4-ft x 8-ft) = 32 square feet
Total area = (210 + 32) = 242 square feet.
Total cost of carpet = (242 x $4.25) = <u>$1,028.50</u> plus pad and installation.
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You know what ? I think you may have mis-copied the price of carpet altogether.
At $4.25 per square foot, that's <em><u>awfully</u></em> expensive carpet.
I suspect the actual price is $4.25 per <em>square yard</em>. That's pretty cheap, but
it's a lot closer to reasonable than $4.25 per square foot is ($38.25 per yd² !)
If it's $4.25 per square yard, then we need to know that 1 square yd = 9 square ft.
The total requirement is 242/9 = 26 and 8/9 square yard, so you'll buy 27 sq yds.
$4.25 x 27 = <u>$114.75</u> plus pad and installation. That sounds cheap but better.
