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3 years ago

Solve please 14a⁹b-8a³d÷ 2a³

Mathematics

1 answer:

koban [17]3 years ago

7 0

Answer:

7a^6b-4d

Step-by-step explanation:

$\frac{14a^9b - 8a^3d}{2a^3} \\\frac{2a^3(7a^6b - 4d)}{2a^3} \\\\7a^6b-4d$

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Extended Problems, Extraneous Solutions

diamong [38]

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

$(x + 2 = \sqrt{3x + 10}$

Square both sides

$(x + 2) {}^{2} = 3x + 10$

Remeber perfect square Rule

$(x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2}$

So now we got

$x {}^{2} + 4x + 4 = 3x + 10$

${x}^{2} + x + 4 = 10$

${x}^{2} + x - 6 = 0$

Factor into binomial.

$(x + 3)(x - 2) = 0$

So our solution is 3 or 2. However, let's check our work.

$- 3 + 2 = \sqrt{3( - 3) + 10}$

$- 1 = \sqrt{1}$

However square root of 1 is 1. It could be 1 but in Math, We only take the principal square root which is positive always. So -3 isn't a solution.

So let try 2.

 $2 + 2 = \sqrt{3(2) + 10} = 4 = \sqrt{16} = 4 = 4$ 

So this is indeed the solution.

Make up equation for 2 and 3. Ask me if you need help.

5 0

2 years ago

A carpenter needs 9.3 feet of rope for a project. How much will the carpenter spend if the rope costs $3.82 per foot?

den301095 [7]

The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526

<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>

The length of rope is given as:

Length = 9.3 feet

The price per rope is given as:

Price per rope = $3.82 per foot

The total amount spent by the carpenter is calculated as:

Total amount = Length * Price per rope

Substitute the known values in the above equation

Total amount = 9.3 feet * $3.82 per foot

Evaluate the product

Total amount = $35.526

Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526

Solve please 14a⁹b-8a³d÷ 2a³​

Solve please 14a⁹b-8a³d÷ 2a³