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alexandr1967 [171]
2 years ago
13

For the function g(x)= x-9/x+7, solve the following inequality. g(x)>_0

Mathematics
1 answer:
jasenka [17]2 years ago
3 0

Answer:

x< -7 ; x\geq9

Step-by-step explanation:

You start noticing that for x = 9 g(x) =0, and for x= -7 the function isn't defined.

That splits the number lines in 3 areas: x<-7; -7<x<9, and x>9. (notice the strict inequalities since we already discussed the breaking points.

Let's try a point in each interval, namely, since i like the values, -10, 0, 10.

g(-10) = \frac{-10-9}{-10+7} =\frac{-19}{-3} >0\\g(0) = \frac{0-9}{0+7}=-\frac{9}{7} 0

We have all the informations we need. The value we need are x< -7 ; x\geq9

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dimaraw [331]
The common factors are 1, 5, and 10
8 0
3 years ago
A line passes through the point (-8,-9) and has a slope of (-3,-4)
Colt1911 [192]

Answer:

y = -3/4x + 3

Step-by-step explanation:

y - 9 = -3/4 (x-8)

y-9 = -3/4x -6

y = -3/4x - 6 + 9

y = -3/4x + 3

hope this helps if not sorry

3 0
3 years ago
When playing roulette at a​ casino, a gambler is trying to decide whether to bet $5 on the number 25 or to bet $5 that the outco
USPshnik [31]

Answer:

a) -$3.03; b) The $5 on the number 25

Step-by-step explanation:

To find the expected value, multiply each probability by its value and then add them together.

The probability of making a profit of $20 is 3/38; this gives us

3/38(20) = 60/38

The probability of losing $5 is 35/38; this gives us

35/38(-5) = -175/38

Together, this gives us

60/38-175/38 = -115/38 ≈ $-3.03

b) Since the expected value for the $5 bet on a single number is $-0.53, and the expected value for the $5 on either 00, 0 or 1 is $-3.03, the better bet is on the number 25.  The expected value loses less money with this option.

8 0
3 years ago
Find the distance between points E and W.
kiruha [24]

Answer:

0.8

Step-by-step explanation:

E is .5 units from 0 and 0 is .3 units from w. .5+.3=.8 units

6 0
3 years ago
What is the 20th term in this sequence .05,.1,.2,.4,...
Jlenok [28]

We can set up an equation.


.05 * 2^(n-1)


n being the nth term in the sequence


Plug in and solve.


.05 * 2^(20-1)


.05 * 2^19


.05 * 524, 288


The 20th term would be 262, 144.

7 0
3 years ago
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