All categories

2 years ago

The product of 2/5a²x and -1/5x²a is?

Mathematics

2 answers:

Natasha2012 [34]2 years ago

7 0

So you first multiply the fractions: 2/5 times -1/5 = -2/25; then the a's: a^2 times a equals a^3; then multiply the x's: x times x^2 equals x^3.
The answer would be -2/25a^3x^3

fredd [130]2 years ago

7 0

<u>Answer:</u>

$- \frac {2} {25} a^3 x^3$

<u>Step-by-step explanation:</u>

We are given the following terms and we are to multiply them and find their product:

$\frac{2} {5} a^2x$ and $-\frac {1} {5} x^{2} a$

Multiplying the two terms:

$\frac{2} {5} a^2x$ × $-\frac{1} {5} x^{2} a$

Taking the LCM and adding the like exponents of the like terms to get:

$-\frac{2}{25} a^3x^3$

Therefore, the product of the given terms is $-\frac{2}{25} a^3x^3$ .

You might be interested in

Tom puts a cup of tea in his microwave oven He knows that the final temperature of the water will be a function of the number of

bearhunter [10]

B and C are both correct

t(s) is equivalent to the temperature of the tea after s amount of seconds

4 0

3 years ago

30 POINTS!!! Which choice is equivalent to the fraction below when x is greater than or equal to 3?

Mashcka [7]

Answer: C.

$\frac{9}{\sqrt{x} -\sqrt{x-3} }=\frac{9(\sqrt{x} +\sqrt{x-3} )}{x-(x-3)}=\frac{9(\sqrt{x} +\sqrt{x-3} )}{3}=3(\sqrt{x} +\sqrt{x-3})$

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Please help

shtirl [24]

Answer:

Step-by-step explanation:

The slope of the line in question is the same as the slope of the line parallel to it. Using y = mx + b, where m is the slope, we find the slope of our line is -3.

Using the pt-slope form, y - y1 = m( x - x1), we get y - (-1) = -3( x - 2) or y + 1 = -3x + 6. Which leads us to y = -3x + 5. QED

4 0

2 years ago

On Friday, a local hamburger shop sold a combined total of 309 hamburgers and cheeseburgers. The number of cheeseburgers sold wa

cupoosta [38]

Divide 309 by 3. You should get 103 (hamburgers). if you multiply that by 2 you will get 206 (cheeseburgers). Add the two together you get the total which was 309 originally.
103 hamburgers and 206 cheeseburgers.

3 0

2 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

6 0

2 years ago