All categories

3 years ago

Prove that 3(x+1)(x+7)-2x+5)^2 is never positive

Mathematics

1 answer:

lisov135 [29]3 years ago

5 0

Answer:

Yes, 3(x+1)(x+7)-(2x+5)² is never positive

Step-by-step explanation:

So....

3(x+1)(x+7)-(2x+5)(2x+5)

=3(x²+8x+7)-(4x²+20x+25)

=3x²+24x+21-4x²-20x-25

=-x²+4x-4

You might be interested in

Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?.

marin [14]

To solve the problem we must know the basic exponential properties.

<h3>What are the basic exponent properties?</h3>

${a^m} \cdot {a^n} = a^{(m+n)}$

$\dfrac{a^m}{a^n} = a^{(m-n)}$

$\sqrt[m]{a^n} = a^{\frac{n}{m}}$

$(a^m)^n = a^{m\times n}$

$(m\times n)^a = m^a\times n^a$

The expression can be written as $x^9\sqrt[3]{y}$ .

Given to us

$(x^{27}y)^\frac{1}{3}$

$(x^{27}y)^\frac{1}{3}$

Using the exponential property $(m\times n)^a = m^a\times n^a$ ,

$=(x^{27}y)^\frac{1}{3}\\\\=x^{\frac{27}{3}}\times y^\frac{1}{3}\\\\=x^9\times y^\frac{1}{3}$

Using the exponential property $\sqrt[m]{a^n} = a^{\frac{n}{m}}$ ,

$=x^9\times y^\frac{1}{3}\\\\=x^9\times \sqrt[3]{y}\\\\=x^9 \sqrt[3]{y}$

Hence, the expression can be written as $x^9\sqrt[3]{y}$ .

Learn more about Exponent properties:

brainly.com/question/1807508

5 0

2 years ago

Read 2 more answers

The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate precription. how much total drug did the pharmacist use

FromTheMoon [43]

Answer: 700.067 g

Step-by-step explanation:

Given : The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate prescription.

We know that 1 gram= 1000 milligram

and 1 kilogram = 1000 grams

Then, By UNITARY METHOD, $\text{1 mg}=\dfrac{1}{1000}\text{ gram}$

Now, We convert each amount of drug into grams as ,

$67\ mg=67\times\dfrac{1}{1000}\ g\\\\=0.067\text{ g}$

AND

$0.6\ kg=0.6\times100=60\text{ g}$

Now, the total drug used by Pharmacist (in grams) = $0.067+100+600=700.067\ g$

Hence, Pharmacist used 700.067 g of total drug.

8 0

2 years ago

Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of

Rina8888 [55]

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

5 0

2 years ago

Picture thanks a lot

kobusy [5.1K]

2.8 is the correct answer :)

7 0

3 years ago

Can someone please help?

lesya [120]

It is 7/8 the last one

8 0

2 years ago

Read 2 more answers