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2 years ago

Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)

Mathematics

1 answer:

nasty-shy [4]2 years ago

3 0

The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have equation:

4(x + 5) = 9x + 4x − 34 (Given)

4x +20 = 9x + 4x − 34 (Distributive Property)

4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x (Subtraction Property of Equality)

54 = 9x + 4x − 34 + 34 -4x (Addition Property of Equality)

54 = 9x (Combine Like Terms)

x = 54/9 (Division Property of Equality)

x = 6

Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

Learn more about the linear equation here:

brainly.com/question/11897796

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Solve the following quadratic equation by completing the square: x² + 12x = 15

Lerok [7]

Answer:

x = -1.14 or -13.14

Explanations:

The given equation is:

$x^2+12x\text{ = 15}$

Find the half of 12, and add the square to both sides of the equation.

That is add 6² to both sides

$x^2+12x\text{ + 6}^{2}\text{ = 15 + 6}^{2}$ $\begin{gathered} (x+6)^2\text{ = 15 + 3}6 \\ (x+6)^2\text{ = 51} \\ \end{gathered}$

Find the square root of both sides:

$\begin{gathered} \sqrt[]{(x+6)^2_{}}=\pm\sqrt[]{51} \\ \text{x + 6 = }\pm\sqrt[]{51} \\ x\text{ = -6 }\pm\sqrt[]{51} \\ \text{x = }-6\pm7.14 \\ x\text{ = -6+7.14 = }1.14 \\ x\text{ = -6 - 7.14} \\ \text{x = -13.14} \end{gathered}$

x = -1.14 or -13.14

3 0

1 year ago

Lyle uses a streaming service to watch movies. Last month he paid $26.91 and watched 9 movies. If he watches 11 movies this mont

Anastasy [175]

Answer:

A. $32.89

Step-by-step explanation:

Take the amount and divide by the number of movies watched

26.91 / 9 =2.99

Now multiply by the new number of movies he wants to watch, 11

2,99 *11

32.89

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1 year ago

Read 2 more answers

Emma works on an ice cream truck. She has lots of ice creams in the cooler. On Friday, she gave out 58 ice creams. Now she has 7

damaskus [11]

Answer:

She had a total of 131 before she sold anything

Step-by-step explanation:

Add 58 and 73

4 0

3 years ago

Suppose that there are 15 antennas in a store, of which 3 are defective. Assume all the defectives and all the functional antenn

ohaa [14]

Answer:

Step-by-step explanation:

Total number of antenna is 15

Defective antenna is 3

The functional antenna is 15-3=12.

Now, if no two defectives are to be consecutive, then the spaces between the functional antennas must each contain at most one defective antenna.

So,

We line up the 13 good ones, and see where the bad one will fits in

__G __ G __ G __ G __ G __G __ G __ G __ G __ G __ G __ G __G __

Each of the places where there's a line is an available spot for one (and no more than one!) bad antenna.

Then,

There are 14 spot available for the defective and there are 3 defective, so the arrange will be combinational arrangement

ⁿCr= n!/(n-r)!r!

The number of arrangement is

14C3=14!/(14-3)!3!

14C3=14×13×12×11!/11!×3×2

14C3=14×13×12/6

14C3=364ways

7 0

3 years ago

Please help me on this

Marrrta [24]

It's C x5 the correct answer I'm not sure

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3 years ago