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3 years ago

For which nonnegative value of x is the expression 5+x/25-x^2

Mathematics

1 answer:

erica [24]3 years ago

8 0

Answer:

Step-by-step explanation:

$\frac{5+x}{25-x^2} >0\\=\frac{5+x}{(5+x)(5-x)} \\=\frac{1}{5-x} >0\\if~5-x>0\\or~5>x\\or x$

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Please answer a lot of points

Katarina [22]

Answer:

Solution given:

Since rectangle ABCD is similar rectangle RSTU .Its corresponding side will be proportional.

length AB and ST

breadth AD and SR

$\frac{AB}{AD}=\frac{ST}{SR}$

$\frac{10}{4}={x}{2}$

x= $\frac{10*2}{4}=5$

:.value of x is 5

3 0

3 years ago

Read 2 more answers

If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

Reil [10]

The first term is 2 and the 20th term is 1048576 .

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

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

8 0

4 years ago

Katy invests a total of $30,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the s

uranmaximum [27]

Answer:

no clue

Step-by-step explanation:

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3 years ago

Jana has a rectangular sheet of cardboard that measures 10 inches by 18 inches. what is the maximum number of 3*3 inch squares t

ra1l [238]

Answer:

Step-by-step explanation:

The 10 inch sides will produce 10 / 3 = 3 squares and 1 inch left over.

The 18 inch sides will produce 18/3 = 6 squares with nothing left over.

The number of squares is 3 * 6 = 18

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3 years ago

How do your write a feaction with a denominator of 20 as a decimal?

Maslowich

Answer:

Step-by-step explanation:

What is 20 as a decimal? To write 20 as a decimal you have to divide numerator by the denominator of the fraction. 20 is not a fraction so it is a decimal already. And finally we have: 20 as a decimal equals 20

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3 years ago