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tester [92]
3 years ago
8

Find the value of the expression given below. 2/3-1/7

Mathematics
1 answer:
vivado [14]3 years ago
6 0

Answer:

the answer is 11/21 or 0.523809524

hope this helped

Step-by-step explanation:

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At which x value will f(x)=3x+3 exceed g(x)=3x+10
Anvisha [2.4K]
We write an inequality:

f(x) > g(x)

3^x + 3 > 3x + 10

3^x > 3x + 7

This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.  3x+7 is a linear function while 3^x is an exponential one (with limit zero as x approaches - \infty).  We see that 3^x = 3x+7 at approximately x=2.4 and x=-2.3.

Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at x=2.42, -2.31.  By observing our graph, we see that f(x) > g(x) when x > 2.42 or x < -2.31.
3 0
2 years ago
Read 2 more answers
From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation?
Ostrovityanka [42]

Answer:

The expected number of men in the delegation is 0.86.

Step-by-step explanation:

Number of men = 3

Number of women = 4

A delegation of 2 is selected.

Let X be the number of men selected. So, the possible values of X are 0,1,2.

P(X=0)=\dfrac{^3C_0\times ^4C_2}{^7C_2}=\dfrac{2}{7}

P(X=1)=\dfrac{^3C_1\times ^4C_1}{^7C_2}=\dfrac{4}{7}

P(X=2)=\dfrac{^3C_2\times ^4C_0}{^7C_2}=\dfrac{1}{7}

The expected number of men in the delegation is

E(x)=0\times P(X=0)+1\times P(X=1)+2\times P(X=2)

E(x)=0\times \dfrac{2}{7}+1\times \dfrac{4}{7}+2\times \dfrac{1}{7}

E(x)=\dfrac{6}{7}

E(x)\approx 0.86

Therefore, the expected number of men in the delegation is 0.86.

4 0
2 years ago
Convert 3/5 to a decimal using long division
NISA [10]

Step-by-step explanation:

5✓3

0.6

put a zero in 3and put a zero above put a decimal point and 6 because of 30

8 0
3 years ago
Given that x and y are positive. If the value of x is increased, what happens to the value of the expression?
Licemer1 [7]
"It would increase."
6 0
3 years ago
If a is inversely proportional to x, a=15 when x=25 find the constant of variation, k
Rudik [331]

Answer:

Step-by-step explanation:

"Inversely proportional to x" in this situation is represented by a = k/x.

Find k:

Let a = 15 and x = 25, then calculate k:

15 = k/25)

Multiplying both sides by 25 yields k = 15(25), or k = 3/5

                       3

and so a = -----------

                      5x

7 0
3 years ago
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