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lorasvet [3.4K]
3 years ago
10

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).

Mathematics
1 answer:
OLga [1]3 years ago
3 0
If you have double functions, solve the one in the parentheses first.

in f(g(2)), solve g(2) first.

So, substitute 2 in the function.

g(x) = x^2 - 6x - 7

g(2) = 2^2 - 6(2) - 7 = -15

If you substitute -15 in f(g(2)), it becomes f(-15).

f(x) = x + 8

f(-15) = -15 + 8

f(-15) = -7

The answer for f(g(2)) is -7.
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The owner of the Rancho Bar X wishes to use 2400 yards of fencing to enclose a rectangular piece of grazing land along the strai
aleksandrvk [35]

Answer:

Step-by-step explanation:

Let length be x and breadth be y .

Along the river no fencing is required so total boundary line of the rectangular land = x + y + y = x + 2y

add divider to it so total length

= x + 2y + y = x + 3y

x + 3y = 2400

area A = xy

y ( 2400 - 3y ) = A

2400y - 3y² = A

For maximum area dA / dy = 0

2400 - 6y = 0

y = 400 yards.

x = 1200 yards

largest area = xy

= 48000 sq yards.

7 0
3 years ago
Wilma earns $9 per hour at her job. Then she spent $15 on a birthday gift for her best friend. Write an expression to represent
frozen [14]

Answer:

Wilma has $12.

Step-by-step explanation:

Since we don't know how many hours she worked, we know that Wilma earned 9x dollars at her job. Then she spends $15, so we can just subtract 15 from 9x.

9x-15

We can just replace the x with 3 to get:

27-15\\12

Hence, Wilma has $12.

3 0
3 years ago
Read 2 more answers
Help!!! Just those two, please
Lunna [17]

A. Multiply the area of the original store by the percent increase then add that to the original amount.

1200 x 0.75 = 900

1200 + 900 = 2100

Answer: 2,100 square feet.

B. 2000 x 0.30 = 600

2000 + 600 = $2,600

2600 x 0.05 = 130

2600 + 130 = 2,730

Rent :$2,730

4 0
3 years ago
If alvin sold 60% of his baseball cards, gave away 30% of those that were left, and still had 40 baseball cards in his possessio
kipiarov [429]

Answer:

The number of baseball card to begin with is 143

Step-by-step explanation:

Let The number of baseball cards = x

The number of sold baseball card = 60% of x

                                                         = 0.6 x

The number of left baseball card = x - 0.6 x = 0.4 x

The number of card gave away = 30 % of left cards

                                                     = 0.3 × 0.4 x = 0.12 x

The number of card left in his possession = 40

So, 0.6 x + 0.12 x + 40 = x

Or,  40 = x - 0.6 x - 0.12 x

Or,  40 = 0.28 x

∴   x = \frac{40}{0.28}  =  142.85 ≈ 143

Hence The number of baseball card to begin with is 143  Answer

3 0
4 years ago
Which could be the measures of the three angles of an acute triangle.
slavikrds [6]
D
An acute angle is less than 90 degrees 
5 0
4 years ago
Read 2 more answers
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