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3 years ago

Select the correct text in the Box??

Mathematics

1 answer:

lesantik [10]3 years ago

7 0

Answer:

STATEMENT 1, 2, 3 and 5

Step-by-step explanation:

Given: $\frac{-10x^2 + 5x + 3}{2x^2 + 4}$

The numerator has an x² term, x term and a constant term.

⇒ The numerator has three terms, making Statement 1 correct.

The denominator has an x term and a constant term.

The constant term of the denominator is 4. So we can say that the denominator has a co-efficient of 4. So, statement 2 is correct.

Similarly, the co-efficient of the x - term is 2. So,Statement 3 is correct as well.

We have already seen that numerator has three terms. Statement 4 says it has 4. So, it is not correct.

Also, the constant term of numerator is 3. So, Statement 5 is correct as well.

Hence the answer.

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Complete the statements.

spayn [35]

Answer:

1. 30

2. 150

Step-by-step explanation:

$3tan^2(x)-1 =0$

Lets assume tan(x) = u

$3u^2(x)-1 =0$

Now we solve for 'u'

add 1 on both sides

$3u^2(x) =1$ , divide both sides by 3

$u^2 = \frac{1}{3}$

Take square root on both sides

$u = +-\frac{1}{\sqrt{3} }$

We replace tan(x) for 'u'

$tan(x) = +-\frac{1}{\sqrt{3} }$

x = 30 because $tan(30) =+\frac{1}{\sqrt{3} }$ in first quadrant

x = 30 (tan is positive in first quadrant)

$tan(x) =-\frac{1}{\sqrt{3} }$

x = 150 because $tan(150) =-\frac{1}{\sqrt{3} }$ in second quadrant

tan is negative in second quadrant

4 0

3 years ago

In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa

Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

$^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434$

Hence, the required number of ways =27434

5 0

3 years ago

8. On a trip, a student drove 40 miles per hour for 2 hours and then drove 30 miles per hour for 3

MrRa [10]

I have been trying but i am pretty sure it is 36 i think

3 0

3 years ago

Read 2 more answers

The measure of five of of the interior angles of a hexagon are 150, 100, 80, 165, and 150. what is the measure of the sixth inte

givi [52]

Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

7 0

2 years ago

[1] Sven has 11 more than twice as many customers as when he started selling newspapers he now has 73 customers how many did he

ANTONII [103]

The answer for number 1 is 73×2+11 I think

4 0

3 years ago

Select the correct text in the Box??​

Select the correct text in the Box??