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2 years ago

Which inequality represents all values of x which the product below is defined Square root 4x Square root x+2

Mathematics

1 answer:

anygoal [31]2 years ago

5 0

Answer:

Option (D) x≥ 0 is absolutely correct

Step-by-step explanation:

The reason is that the square root function is defined for only non negative numbers.

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This is really confusing me:<br> Simplify so that your answers contain only positive exponents.

xxTIMURxx [149]

Answer:

see below

Step-by-step explanation:

For simplifying expressions of this sort, there are four rules of exponents that come into play;

$a^ba^c=a^{b+c}\\\\(ab)^c=a^cb^c\\\\(a^b)^c=a^{bc}\\\\\dfrac{1}{a^b}=a^{-b}\ \quad\text{which means}\quad a^b=\dfrac{1}{a^{-b}}$

I find it convenient to eliminate the fractions by adding the exponents, then rewrite any negative exponents as denominator factors.

$23. \quad\dfrac{1}{x^{-2}}=x^2\\\\24. \quad\dfrac{mn}{m^2n^3}=m^{1-2}n^{1-3}=m^{-1}n^{-2}=\dfrac{1}{mn^2}\\\\25. \quad\dfrac{k^{-2}}{k^{-3}}=k^{-2-(-3)}=k\\\\26. \quad\left(\dfrac{m^2}{n^3}\right)^3=\dfrac{m^{2\cdot 3}}{n^{3\cdot 3}}=\dfrac{m^6}{n^9}\\\\27. \quad\dfrac{x^2y^3z^4}{x^{-3}y^{-4}z^{-5}}=x^{2-(-3)}y^{3-(-4)}z^{4-(-5)}=x^5y^7z^9$

3 0

2 years ago

Two hot air balloons are traveling along the same path away from the town, beginning from different locations at the same time.

spin [16.1K]

Answer: a

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A snowflake falls 6 feet in 4 seconds. At this rate, how far does a snowflake fall in 1 minute?

antiseptic1488 [7]

A snowflake falls 90 feet in 1 minute.

60 ÷ 4 = 15

6 x 15 = 90

8 0

2 years ago

The number of seats in a row has been increased at a rectangular-shape movie theater after renovation so that it is now five mor

Damm [24]

Let the number of rows be = r

Let the number of seats per row be = s

we know that the number of seats is 126.

So, $s\times r=126$ ..... (1)

As given, there are five more seats per row than the number of rows, so we can say that:

$s=r+5$

Putting this in equation (1)

$(r+5)*r=126$

$r^{2}+5r=126$

$r^{2}+5r-126=0$

$r^{2}+14r-9r-126=0$

$(r+14)(r-9)=0$

r=-14 and r=9 (neglecting the negative value) we get r=9

And s=r+5

so, s =9+5=14

Hence, there are 5 rows and 14 seats per row.

4 0

3 years ago

A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger so

Naya [18.7K]

9514 1404 393

Answer:

375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

h +(h +63) = 813

2h = 813 -63 = 750

h = 750/2 = 375

375 hamburgers were sold on Saturday.

_____

<em>Additional comment</em>

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

8 0

2 years ago

Which inequality represents all values of x which the product below is defined Square root 4x Square root x+2￼￼

Which inequality represents all values of x which the product below is defined Square root 4x Square root x+2