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3 years ago

The construction cost for this road ha been estimated at $135 per linear foot. (1 mile = 5280 ft).

Mathematics

1 answer:

Mamont248 [21]3 years ago

8 0

T. Pitagora twice => new street = 2 $\sqrt{20}$ = 8.94 miles;
135*8.94 = 1206.9$;

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3 more than twice as many oranges equals 18

telo118 [61]

7.5 x 2 = 15 + 3 = 18

7 0

3 years ago

Read 2 more answers

State of the given functions are inverses

bonufazy [111]

Answer:

1) They are not inverses

2) They are inverses

Step-by-step explanation:

We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.

1)

Let's find f[g(x)] and simplify.

$f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}$

$f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}$

$f[g(x)]=\frac{7}{2}-\frac{3}{4}x$

As f[g(x)] is not equal to x, these functions are not inverses.

Let's find f[g(x)] and simplify.

$f[g(n)]=\frac{-16+(4n+16)}{4}$

$f[g(n)]=\frac{-16+4n+16}{4}$

$f[g(n)]=\frac{4n}{4}$

$f[g(n)]=n$

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

$g[f(x)]=4(\frac{-16+n}{4})+16$

$g[f(x)]=-16+n+16$

$g[f(x)]=n$

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!

3 0

2 years ago

This is so confusing...

Ainat [17]

It's less confusing if you only think about one of them at a time.

A).
Change the whole thing to all inches.
(Multiply the 8-ft by 12inches/foot.)
Then, when you have it all in one number of inches,
multiply that number of inches by (2.54 centimeters/inch).

B).
1 ounce is the weight of 28.35 grams (on Earth).
Multiply the 300g by (1 ounce / 28.35 g).

C).
Multiply the liters by (0.264 gallon/liter)
Multiply the km by (1 mile / 1.609 km).
Then you'll have a fraction that actually means
(a number of gallons) divided by (a number of miles).
Do the division, and you'll have the gallons per mile.

D).
The area of any rectangle is (length) times (width).
The area of this living room is (13-ft times 14-ft), and that's in square feet.
You know how much 1 square foot of carpet costs.
Just multiply that price by the number of square feet that you need.

6 0

3 years ago

How to write it’s inverse

seropon [69]

F(x) = sqrt(4-x)

You can get this by switching f(x) and x and then solving for f(x).

8 0

3 years ago

Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the o

Vitek1552 [10]

Answer:

Step-by-step explanation:

At home depot

Price of Christmas tree = $149.00

Discount = 15%

Amount discounted = 15% of $149

Amount discounted = 15/100 * $149

Amount discounted = 15 * 1.49

Amount discounted = $22.35

Amount she paid = $149-$22.35

Amount she paid = $126.65

At Lowe's:

Price of Christmas tree = $175.00

Discount = 260%

Amount discounted = 20% of $175

Amount discounted = 20/100 * $175

Amount discounted = 0.2 * 175

Amount discounted = $35

Amount she paid = $175-$35

Amount she paid at Lowe's = $140

From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.

Amount she will save will be $140 - $126.65 = $13.35

6 0

3 years ago