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1 year ago

Given the following piecewise function,

Mathematics

1 answer:

Vlad1618 [11]1 year ago

6 0

The value of f(0) is f(0) = 3 and the value of f(-4) is f(-4) = 1

<h3>Determining the value of a function </h3>

From the question, we are to determine the value of the given functions

The functions are

f(0) and f(-4)

First, we will determine the value of f(0)

Since 0 ≥ -2, we will use the function

f(x) = x² + 2x + 3

Thus,

f(0) = (0)² + 2(0) + 3

f(0) = 0 + 0 + 3

f(0) = 3

Now, we will determine the value of f(-4)

Since -4 < -2, we will use the function

f(x) = x + 5

Thus,

f(-4) = -4 + 5

f(-4) = 1

Hence, f(0) = 3 and f(-4) = 1

Learn more on Determining the value of a function here: brainly.com/question/14379796

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Decimal Form:

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Step-by-step explanation:

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Step-by-step explanation:

A system of two linear functions with two variables have an unique solution on a given plane, as there are three linear function, it means that linear function with the smallest slope must be multiple of one of the other two linear functions.

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3 years ago

What is 12 2/3 as an improper fraction

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Answer:

$\dfrac{38}{3}$

Step-by-step explanation:

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$= \dfrac{12}{1} + \dfrac{2}{3}$

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3 years ago

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3 years ago

The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3year

Paha777 [63]

Answer:

Step-by-step explanation:

The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum

The formula for Simple Interest = PRT

From above question, we have to find the Principal

The simple interest on a certain sum for 5years at 8% per annum is Rs200

Hence,

R = 8%

T = 5 years

Rs 200 = P × 8% × 5

P = 200/8% × 5

P = Rs500

The principal = Rs 500

The simple interest on the same sum for 3years and 4months at 18% per annum.

Simple Interest = PRT

R = 18%

T = 3 years and 4 months

Converted to years

T = 3 + (4 months/12 months)

T = 3.33 years

Hence,

Simple Interest = Rs 500 × 18% × 3.33 years

= Rs 299.7

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3 years ago