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DochEvi [55]
3 years ago
13

See if you can help thank you!!

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
4 0

C

the square of the sum of 7 times x and 3 is expressed as

7x + 3 ← the sum of 7 times x and 3

(7x + 3)² ← the square of the sum of 7 times x and 3

4 times the difference of x and 1 is expressed as

x- 1 ← the difference of x and 1

4(x - 1) ← 4 times the difference of x and 1

putting it all together gives

(7x + 3 )² / 4(x - 1 ) → C


Troyanec [42]3 years ago
4 0

The way to read math problems is to read and do little parts at a time. Don't try and understand it all at once. That's what you try and do when you are reading a novel or a persuasive essay. Do things as you would when you are trying to parse a sentence.

The numerator is determined by the language before the word divide. What does it say? Concentrate on everything after square.

sum of 7 times x  plus 3. That translates into 7x + 3

Now go look at the word square. It means that you square 7x + 3

Numerator: (7x + 3)^2

Guess what? You have already eliminated B and D. So you are left with A and C.

Denominator: difference between x and 1. Difference means subtract so you have x - 1

Denominator: 4 times the difference between x and 1: 4*(x - 1)

Now put them together.

numerator / denominator

\dfrac{(7x + 3)^2}{(4(x - 1))}

which is C.

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Iv'e checked both of them and they have NO solutions so nyour answer is (None)

Step-by-step explanation:

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Solve the compound inequality.<br> 5 &lt; 2x - 1 &lt; 9<br><br> Show your work
ASHA 777 [7]

Answer:

3<x<5

Step-by-step explanation:

5<2x-1<9

Add 1 on all the sides because of the inverse operation.

Which is 6<2x<10

The divide 2 on all sides to isolate x.

Which is 3<x<5.

4 0
3 years ago
(ab^2 x -b^4a^3)^2<br><br> What is the answers
Umnica [9.8K]

Answer:

\left(ab^2x-b^4a^3\right)^2:\quad a^2b^4x^2-2a^4b^6x+a^6b^8

Step-by-step explanation:

Given the expression

\left(ab^2\:x\:-b^4a^3\right)^2

solving the expression

\left(ab^2\:x\:-b^4a^3\right)^2

\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2

a=ab^2x,\:\:b=b^4a^3

so the expression becomes

=\left(ab^2x\right)^2-2ab^2xb^4a^3+\left(b^4a^3\right)^2

=a^2b^4x^2-2a^4b^6x+a^6b^8

Thus,

\left(ab^2x-b^4a^3\right)^2:\quad a^2b^4x^2-2a^4b^6x+a^6b^8

3 0
2 years ago
The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

The profit that a vendor makes per day is given by

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where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

P'(x)= - 0.008x+3.2

Again differentiating with respect to x

P''(x) = -0.008

For maximum or minimum P'(x)=0

- 0.008x+3.2=0

⇒0.008x=3.2

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

          =440

The number of elephant ears that must be sold to maximize profit is 400.

3 0
3 years ago
A national survey showed that 44% of college students drink. A professor provided his own survey by choosing a random sample of
mamaluj [8]

Answer:

It is an unusual result contradicting the national survey.

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National survey showed 44% of college students who drink.

The professor's survey showed that 96/244 = 39% drink.

The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.

Standard deviation is the spread of a set of numbers from their mean.  In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.

4 0
3 years ago
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