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Nikitich [7]
3 years ago
12

Harmon's Jewelry Store receives a shipment

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer: She should expect 165 to be damaged.

Step-by-step explanation:

5,500/500 = 11

15 * 11 = 165

500 : 15

5,500 : 165

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What is the inverse of this function? (Function in photo)
valkas [14]

Given:

The function is

f(x)=-\dfrac{1}{2}\sqrt{x+3},x\geq -3

To find:

The inverse of the given function.

Solution:

We have,

f(x)=-\dfrac{1}{2}\sqrt{x+3}

Put f(x)=y.

y=-\dfrac{1}{2}\sqrt{x+3}

Interchange x and y.

x=-\dfrac{1}{2}\sqrt{y+3}

Isolate the variable y.

-2x=\sqrt{y+3}

(-2x)^2=y+3

4x^2-3=y

y=4x^2-3

Putting y=f^{-1}(x), we get

f^{-1}(x)=4x^2-3

For x\geq -3,

x+3\geq 0

\sqrt{x+3}\geq 0

-\dfrac{1}{2}\sqrt{x+3}\leq 0

f(x)\leq 0

It means for function f(x)\leq 0 and for inverse function x\leq 0 because the range of the function is the domain of inverse function.

Therefore, f^{-1}(x)=4x^2-3 for x\leq 0.

3 0
3 years ago
Evaluate 4(a+ 2b) - 2b when a = 2 and b = -2.
Evgen [1.6K]

-8

4(2+2(-2))

distribute : 8 + -16

add: -8

4 0
3 years ago
The length a rectangle is 2 cm grater than its width .the area is the rectangle is 80 cm square what is the width of the rectang
maw [93]

Answer:

Step-by-step explanation:

If breadth =x

length =x+2

Area =length *breadth

Area =x(x+2)=80

X^2+2x-80=0

X^2 +10x - 8x - 80=0

X(x+10)- 8(x+10)=0

(X-8)(x+10)=0

X=8 or x=-10

X=8(since breadth cannot be a negative value x cannot be negative)

4 0
4 years ago
Round the nearest hundred 1.886
Ksivusya [100]
1.886 to the nearest hundredth would be 2.
8 0
3 years ago
Read 2 more answers
99 POINTS!!!!
Stella [2.4K]
I think yes because, for every person who leaves the community pool has a different opinion. So it may be valid or invalid.
3 0
4 years ago
Read 2 more answers
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