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Tanya [424]
3 years ago
7

The product of two consecutive even integers is 224. what are the integers?

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
4 0

Answer:

2*112=224

4*56=224

8*28=224

14*16=224

Step-by-step explanation:

any one of those 4 you can use to answer the problem

algol [13]3 years ago
3 0

Answer:

16, -16, 14, and -14

Step-by-step explanation:

The easiest way of solving this question is by setting up an equation. Let's use "n" to represent any random possible integer.

n (n + 2)  = 224

Simplifying:

x^2 + 2n - 224 = 0

(n + 16)(n - 14) = 0

n = -16, 16 or n = -14, 14

<u>Check:</u>

16 * 14 = 224

-16 * -14 = 224

Thus, answers of 16, -16, 14, and -14 all work correctly.

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A cab driver is paid $6 plus $0. 45 per mile driven. Which expression shows the amount of money the cab driver earns in m miles?
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Algebraic expression is the expression which consist the variables, coefficients and the constants. The expression for the condition given in the problem is 0.45m+6.

Given information

A cab driver is paid $6 plus $0.45 per mile driven.

Total number of total miles is <em>m.</em>

<h3>Algebraic expression</h3>

Algebraic expression is the expression which consist the variables, coefficients and the constants. The algebraic expression are used to solve the condition based problems by expressing them into the algebraic form.

As the cab driver is paid $6 as the fixed amount of the taxi irrespective to the mile driven. Thus this is independent to the other variables and written as the constant in the expression.

As the total miles driven by the cab driver is<em> m</em>. The cost of the per mile driven the car is $0.45. Thus the expression for this condition can be given as,

f(m)=0.45m+6

Hence, the expression for the condition given in the problem is 0.45m+6.

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