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2 years ago

Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.

Mathematics

1 answer:

kondor19780726 [428]2 years ago

7 0

Answer:

It is equivalent to 15x – 3)(2x + 1) = 0. False

It is equivalent to (5x – 3)(2x + 1) = 0 True

Either x=-1/2 or 5/3

Step-by-step explanation:

Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.

It is equivalent to 15x – 3)(2x + 1) = 0. False

It is equivalent to (5x – 3)(2x + 1) = 0 True

When you take pull-out (2x+1), you will be left with (5x-3)

5x (2x + 1) - 3(2x + 1) = 0.

(2x+1)(5x-3)=0

Either 2x + 1 = 0

2x = -1

Divide both-side of the equation by 2

2x/2 = -1/2

x= -1/2

5x-3 =0

5x = 3

Divide both-side of the equation by 5

5x/5 = 3/5

x = 5/3

Either x=-1/2 or 5/3

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The sale amount is 1,250.00, 5% sales tax.

Marina CMI [18]

Answer:

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Step-by-step explanation:

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3 years ago

Which figure has the same area as the parallelogram shown below? A. A triangle with a base of 4 mm and a height of 20 mm B. A tr

Arisa [49]

<h2>Answer: A trapezoid with bases of 6 mm and 14 mm and a height of 8 mm </h2>

The parallelogram in the figure has an area of $80mm^{2}$ , according to the following formula, which works for all rectangles and parallelograms:

$A_{parallelogram}=(b)(h)$ (1)

Where $b$ is the base and $h$ is the height

The<u> area of a triangle</u> is given by the following formula:

$A_{triangle}=\frac{1}{2}(b)(h)$ (2)

So, for option A:

$A_{triangle}=\frac{1}{2}(4mm)(20mm)=40mm^{2} \neq 80mm^{2}$

Now, the <u>area of a trapezoid </u>is:

$A_{trapezoid}=\frac{1}{2}(b_{1}+ b_{2})(h)$ (3)

For option B:

$A_{trapezoid}=\frac{1}{2}(15mm+25mm)(2 mm)=40mm^{2} \neq 80mm^{2}$

For option C:

$A_{trapezoid}=\frac{1}{2}(6mm+14mm)(8 mm)=80mm^{2}$ >>>>This is the correct option!

For option D:

$A_{rectangle}=(30mm)(8mm)=240mm^{2} \neq 80mm^{2}$

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2 years ago

1. Over the six months what was the average market price per share?

lozanna [386]

A) The average market price is (12 + 8 + 10 + 13 + 14 + 8) / 6 = $10.83

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c) Since the cost per share in June was $12, and her average cost was $10.30, dollar-cost averaging worked in her favor since her average cost was lower.

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2 years ago

Which expression is equivalent to 350 · 22 ?

Semenov [28]

Answer:

7,700

Step-by-step explanation:

350 x 22= 7,700

4 0

3 years ago

Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequali

BigorU [14]

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be $2\cdot x > 10$ , we proceed to show the appropriate procedure to step 4:

1) $2\cdot x >10$ Given

2) $x > 5$ Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)

In consequence, the division property of inequality which states that:

$\forall\, a, b, c \in \mathbb{R}$ . If $c > 0$ , then:

$a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a$

But if $c < 0$ , then:

$a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a b\cdot c$

Hence, correct answer is A.

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3 years ago