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Marina86 [1]
2 years ago
6

If h(x) = 6 – x, what is the value of (h circle h) (10)?

Mathematics
1 answer:
Marta_Voda [28]2 years ago
5 0

Answer:

10

Step-by-step explanation:

hoh(x) = h(h(x)) = 6 - h(x) = 6 - (6-x) = 6 - 6 + x = x

then

hoh(x) = x

then

hoh(10) = 10

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A photographer uses an online service to sell some of his work. The amount of money he will make from selling 10 copies of the s
VLD [36.1K]

Answer:

Step-by-step explanation:

The expression representing the amount of money that the photographer would make from selling 10 copies is given as

10(0.75p - 0.5)

where p represents the price determined for each copy. Assuming the price charged per copy is $5, then the amount made from 10 copies is

10(0.75 × 5 - 0.5) = $32.5

It could have been

10(5 - 0.5) = $45

The price is being reduced by 25%(100 - 75)

Therefore, the option that most likely describes the agreement between the online service company and the photographer is

A. The company keeps 25% of the amount paid for each copy and charges the photographer $0.50 for every copy purchased.

8 0
3 years ago
How many 10-digit ternary strings are there that contain exactly two 0s, three 1s, and five 2s?
Svet_ta [14]

There are \dbinom{10}2 ways of picking 2 of the 10 available positions for a 0. 8 positions remain.

There are \dbinom83 ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's \dbinom55=1 way of doing that.

So we have

\dbinom{10}2\dbinom83\dbinom55=\dfrac{10!}{2!(10-2)!}\dfrac{8!}{3!(8-3)!}\dfrac{5!}{5!(5-5)!}=2520

The last expression has a more compact form in terms of the so-called multinomial coefficient,

\dbinom{10}{2,3,5}=\dfrac{10!}{2!3!5!}=2520

5 0
2 years ago
Which is equivalent to 4(x - 1)? <br>x- 4 <br>4x-1 <br>4x - 3 <br>4x - 4​
ser-zykov [4K]

Answer:

4x-4

Step-by-step explanation:

Hope this helps!!!!!✨✨✨

8 0
2 years ago
a triangle has a base that is 3 times longer than its height. it has a area of 486 sq cm. what is the base and height
saw5 [17]
B = 3h . . . . . . . .given by the problem statement
A = (1/2)bh . . . . formula for the area of a triangle

486 cm² = (1/2)*(3h)*h . . . substitute given information
(2/3)*486 cm² = h² . . . . . .multiply by 2/3
√324 cm = h . . . . . . . . . . . . . .take the square root

The height is 18 cm.
The base is 3*18 = 54 cm.
6 0
2 years ago
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.64 before the discount, and
OLEGan [10]

Answer:

  $82.57

Step-by-step explanation:

The tip they leave is ...

  $78.64 × 0.20 = $15.73

The amount of the discount is ...

  $78.64 × 0.15 = $11.80

Then the total cost of the meal and tip is ...

  meal price - discount + tip

  $78.64 -11.80 +15.73 = $82.57

6 0
2 years ago
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