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eduard
2 years ago
8

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:

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How many intersections are there of the graphs of the equations below?
kipiarov [429]

Answer:

<u>The number of intersections = ∞</u>

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: <u>They have infinity number of solutions.</u>

<u>See the attached figure.</u>

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 <span>£3691.41 in his account after 10 years.</span>
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:

35

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
Read 2 more answers
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
Read 2 more answers
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