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2 years ago

What is the following simplified product? Assume x greater-than-or-equal-to 0

Mathematics

2 answers:

andreev551 [17]2 years ago

8 0

Answer:

Option C is correct.

Step-by-step explanation:

We have to simplify the product of

(StartRoot 6 x squared EndRoot + 4 StartRoot 8 x cubed EndRoot) (StartRoot 9 x EndRoot minus x StartRoot 5 x Superscript 5 Baseline)

= $(\sqrt{6x^{2}} + 4\sqrt{8x^{3}})(\sqrt{9x} - x\sqrt{5x^{5}})$

= $(\sqrt{6x^{2}} + \sqrt{128x^{3}})(\sqrt{9x} - \sqrt{5x^{7}})$

= $\sqrt{54x^{3}} - \sqrt{30x^{9}} + \sqrt{1152x^{4}} - \sqrt{640x^{10}}$

= $3x\sqrt{6x} - x^{4}\sqrt{30x} + 24x^{2}\sqrt{2} - 8x^{5}\sqrt{10}$

= 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot

Therefore, option C is correct. (Answer)

Lisa [10]2 years ago

5 0

Answer:

this is incorrect, option A is the correct answer. i just took it.

Step-by-step explanation:

You might be interested in

How many intersections are there of the graphs of the equations below?

kipiarov [429]

Answer:

The number of intersections = ∞

Step-by-step explanation:

Given the system of equations:

0.5 x + 5y = 6

3x + 30y = 36

By multiplying the first equation by 6

∴ 6 (0.5 x + 5y) = 6 * 6

∴ 3x + 30y = 36

So, Those equations are "Dependent", because they are really the same equation, just multiplied the first equation by 6.

So, the two equations are identical

Therefore: They have infinity number of solutions.

See the attached figure.

0.5 x + 5y = 6 ⇒ in black color

3x + 30y = 36 ⇒ in red color

6 0

2 years ago

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How

mixer [17]

To solve this, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year

For the first 4 years we know that: $P=2350$ , $r= \frac{4.2}{100} =0.042$ , $t=4$ , and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, $n=1$ . Lest replace those values in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2350(1+ \frac{0.042}{1} )^{(1)(4)}$
$A=2350(1+0.042)^{4}$
$A=2770.38$

Now, for the next 6 years the intial investment will be the final amount from our previous step, so $P=2770.38$ . We also know that: $r= \frac{4.9}{100} =0.049$ , $t=6$ , and $n=1$ . Lets replace those values in our formula one more time:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2770.38(1+ \frac{0.049}{1})^{(1)(6)$
$A=2770.38(1+0.049)^6$
$A=3691.41$

We can conclude that Collin will have £3691.41 in his account after 10 years.

4 0

2 years ago

) If the pattern shown continues, how many black keys appear on a portable keyboard with 49 white keys? Suggestion: use equivale

andriy [413]

Answer:

Step-by-step explanation:

Here we see 5 black keys for every 7 white keys.

So the ratio is 5:7

If we need 49 white keys, find the amount we scale the original ratio by:

49/7 = 7

So we are scaling by a factor of 7.

The number of black keys would be 5 * the scale of 7. = 35

So there should be 35 black keys.

5 0

2 years ago

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Which statement is NOT true about Rational Numbers ? ( 2 answers ) a . Whole Numbers are Rational Numbers b . Integers, Whole Nu

Elza [17]

Answer:

The answers are A and B.

Step-by-step explanation:

7 0

2 years ago

The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved f

larisa [96]

Answer:

r=8

Step-by-step explanation:

Because 16 divided by 2 is 8

6 0

2 years ago

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