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4 years ago

The side of a square is 4 less than twice x squared. What’s the simplified expression for the area of the square?

Mathematics

1 answer:

Nadusha1986 [10]4 years ago

6 0

Answer:

The simplified expression for the area of the stated square is A (x) = (2x² - 4)²

Step-by-step explanation:

To solve this problem first you need to think about the realationtship beetwen Area and side of a square. Then Area = (side)².

Here we have that side is equal to 2x² - 4. Then A(x) = (2x² - 4)² which is the expression of a square of a binomial. Then A(x) = 4x^4 - 16x² + 16. If you look at this two expressions, the first one is the simplified one. So,

A(x) = (2x² - 4)²

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National Textile installed a new textile machine in one of its factories at a cost of $250,000. The machine is depreciated linea

kirill115 [55]

Answer:

The required expression is $y=250,000-24,000 t$

Step-by-step explanation:

Consider the provided information.

National Textile installed a new textile machine in one of its factories at a cost of $250,000.

That means for 0 year the cost of the machine is $250,000.

This can be written as: (0, 250,000)

Over 10 years with a scrap value of $10,000

That means for 10 year the cost of the machine is $10,000.

This can be written as: (10, 10,000)

Now first find the rate of change:

Rate of change=m= $\frac{Rise}{Run}=\frac{10,000-250,000}{10-0}$

Rate of change=m= $\frac{Rise}{Run}=\frac{-240,000}{10}$

Rate of change=m= $\frac{Rise}{Run}=-24,000$

Now use the point-slope form of an equation of a line with the point (0, 250,000), we can find the required expression.

$(y-250,000)=-24,000(t-0)$

$y-250,000=-24,000 t$

$y=250,000-24,000 t$

Hence, the required expression is $y=250,000-24,000 t$

6 0

3 years ago

8a + 16<img src="https://tex.z-dn.net/?f=8a%20%2B%2016" id="TexFormula1" title="8a + 16" alt="8a + 16" align="absmiddle" class="

Akimi4 [234]

Answer:

8(a+2)

Step-by-step explanation:

can i have the brainliest answer

8 0

4 years ago

If the perimeters of each shape are equal, which equation can be used to find the value of x?

Brums [2.3K]

Answer:

(x+2) + x + (x+4) = 2(1/2) + 2(x+3)

Step-by-step explanation:

They are equal to each other and the rectangle has 2x more perimeter

The triangle would be divided in half from that rectangle.

Sorry If this is confusing I am not very good at explaining things.

4 0

3 years ago

I need help with C, thank you.

guapka [62]

Simple....

$\frac{3}{4} x\ \textless \ \frac{9}{2}$

x<6

This means that on your graph at 6 it's a circle (not colored in) and it goes to the left indefinitely...

Thus, your answer.

6 0

3 years ago

You roll two dice 88 times how many times do you expect to roll a sum of seven

AysviL [449]

There are 6 ways to roll a sum of seven with two dice. There are 36 possible outcomes total, therefore the probability of rolling a seven is 6/36 or 1/6 simplified. Multiplying 1/6 by 88 gets you 14.67 or 15 rounded

7 0

3 years ago