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3 years ago

Which of the following functions is not linear?

Mathematics

2 answers:

Molodets [167]3 years ago

5 0

Hi there! The answer is A.
Graph A. is not linear because it contains x^2 and therefore is a quadratic function.

Yanka [14]3 years ago

5 0

A linear function can have terms which are made of numbers or numbers multiplied by a single variable with exponent 1 (usually not written). If you have variables multiplied together, exponents other than 1 on variables, variables in the denominator, or variables in a square root, it is not linear.
Look at the choices.
Option A. has x^2. That is not linear.
All others are linear.

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sasho [114]

Answer:

Step-by-step explanation:

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Help me on this question! Jake can carry 6 1/4 pounds of wood in from the barn.His father can carry 1 5/7 times as much as jake.

ioda

$\text{ Jake father can carry } 10\frac{5}{7} \text{ or } \frac{75}{7} \text{ pounds }$

Solution:

From given question,

Number of pounds Jake carry = $6\frac{1}{4} \text{ pounds }$

Number of pounds his father carry is $1\frac{5}{7}$ times as much as jake

To find: Number of pounds Jake father can carry

Convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

$\rightarrow 6\frac{1}{4} = \frac{4 \times 6+1}{4} = \frac{25}{4}\\\\\rightarrow 1\frac{5}{7} = \frac{7 \times 1+5}{7} = \frac{12}{7}$

Then according to question,

$\text{Pounds father carry } = \frac{12}{7} \text{ times the pounds jake carry }\\\\\text{Pounds father carry } = \frac{12}{7} \times \frac{25}{4}\\\\\text{Pounds father carry } = \frac{75}{7}\\\\\text{In terms of mixed fractions, }\\\\\text{Pounds father carry } = \frac{75}{7} = 10\frac{5}{7}$

$\text{ Thus, Jake father can carry } 10\frac{5}{7} \text{ or } \frac{75}{7} \text{ pounds }$

3 0

3 years ago