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BabaBlast [244]
3 years ago
12

Solve (2x+3) (x+4)= 1

Mathematics
1 answer:
Digiron [165]3 years ago
5 0

To solve, simply layout an equation.

(2x+3)(x+4)=1

Step 1: Simplify both sides of the equation.

2x2+11x+12=1

Step 2: Subtract 1 from both sides.

2x2+11x+12−1=1−1

2x2+11x+11=0

Step 3: Use quadratic formula with a=2, b=11, c=11.

x=-b±√b^2-4ac/2a

So, the answer for this problem is:

x=-11/4+1/4√33 or -11/4+-1/4√33

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Select all the numbers that are rational.
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Answers:

C, D, E

Step-by-step explanation:

A rational number is a integer. It is also a terminating or repeating decimal.

A rational number can be written as a fraction of two integers.

Answer A is not correct because it's decimal never ends. It is also not repeating. A cannot be written as a fraction.

Answer B is not correct because the square root is not a whole number, or a perfect square. The square root has a non-terminating and non-repeating decimal, just like A. B cannot be written as a fraction.

Answer C is rational because it has a terminating decimal.

D and E are integers, which also can be written as fractions.

Out of the options given, C, D, and E have rational numbers, while all others do not.

The answers are C, D, and E.

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3 years ago
A contractor purchases 4 dozen pairs of padded work gloves for ​$56.16. She incorrectly calculates the unit price as ​$14.04 per
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Answer:

The correct unit price is $1.17 per pair of gloves. The error is she used number of dozens so, firstly convert it to number of pairs of gloves then divide.

Step-by-step explanation:

It is given 4 dozen pairs of gloves for $56.16.

So, unit price = Divide the price by number of pairs of gloves.

And 1 dozen =12

So 4 dozen =4*12=48 pairs of gloves

So, to find unit rate divide 56.16  by 48.

Unit price =\frac{56.16}{48}= $1.17

So, the error is she didn't convert the dozen to units.

That made mistake in finding unit price.

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Step-by-step explanation: hope it helps

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