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3 years ago

The total number of photos on Hannah's camera is a linear

Mathematics

2 answers:

Klio2033 [76]3 years ago

8 0

Answer:

The linear function is y = 44 + 24x

The rate of change of the linear function is 44.

Step-by-step explanation:

Hannah already had 44 photos in her camera so this is the initial value of the linear function.

She took 24 photos each day for 6 days. Which means she took:

24 x 6 = 144 photos in those 6 days.

We multiplied 24 with the number of days she took the photos so, considering 'x' as the number of days we can write '24x' to represent the number of photos she took. the linear function can be represented as:

y = 44 + 24x

To find out the rate of change, we need to differentiate this equation. So,

$\frac{dy}{dx} = 44$

The rate of change of the linear function is 44.

bazaltina [42]3 years ago

8 0

Answer:

Step-by-step explanation:

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Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.

kirill115 [55]

Answer:

2(x + 1) = 10

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Step-by-step explanation:

Given:

2(x + 1) = 10

Solution:

Apply Distributive property

A*(B+C) = (A*B) + (A*C)

This means multiply 2 with x and 1

2*(x+1) = (2*x) + (2*1)

2x + 2 = 10

Use Subtraction property of equality

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2x + 2 - 2 = 10 - 2

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Use Division property of equality

It state that if you divide both sides of an equation by same nonzero number then the sides remain equal

Dividing both sides by 2

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This means value of x is 4

Another method to solve this equation is:

2(x+1)=10

Use Distributive property

A*(B+C) = (A*B) + (A*C)

2*(x+1) = (2*x) + (2*1)

2*(x+1) = 2x + 2

Use commutative property

A + (-B) = (-B) + A

2x + 2 + (-2) = 2x + (-2) + 2

2x + 2 + (-2) = 10 + (-2)

2x + 2 - 2 = 10-2

2x = 8

Using division property

AX = B

AX / A = B / A

X = B/A

This becomes:

2x = 8

2x = 8.

Divide both sides by 2

2x / 2 = 8 / 2

x = 4

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Answer:

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