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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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snow_tiger [21]

Answer: -7 = e

Step-by-step explanation: To solve this equation for e, we need to get e by itself on the right side of the equation. Since e is multiplied by 16, in order to get e by itself, we need to divide by 16 on the right side of the equation. If we divide by 16 on the right side of the equation, we must also divide by 16 on the left side of the equation.

On the right side of the equation the 16's cancel and we have e. On the right side of the equation -112 divided by 16 is -7. Remember that a negative divided by a positive is a negative.

So we have -7 = e which is the solution to our equation.

To check our solution, we can plug -7 in for e in the original equation. So we have -112 = 16 (-7) or -112 = -112 which is a true statement so our answer checks.

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3 years ago

PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi

Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

$Hypotenuse^2=Base^2+Perpendicular^2$

⇒ $5^2=3^2+4^2$

Let a, b, c forms a Pythagorean triplet

$a^2+b^2=c^2$

Multiplied by 4 on both sides

⇒ $4a^2+4b^2=4c^2$

⇒ ${2a}^2+{2b}^2={2c}^2$

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

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2 years ago

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Sav [38]

Answer:

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Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

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Then combine your like terms:

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Lastly put your expression in standard form (highest exponent to lowest)

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Step-by-step explanation:

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