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Leno4ka [110]
2 years ago
8

Given the function g(x)=−2x−8, evaluate g(0).

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
7 0

Answer:

g(0) = -8

Step-by-step explanation:

When you plug in a zero for the x the equation will look like

g(0) = -2(0) - 8

-2 times 0 = 0 so g(0) = -8

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Let y(????)y(t) be a solution of y˙=17y(1−y7)y˙=17y(1−y7) such that y(0)=14y(0)=14. Determine lim????→[infinity]y(????)limt→[inf
shtirl [24]

Answer:

Step-by-step explanation:

Given that,

y' = 17y ( 1-y^7)

Let y=1

Then, y' = 0 for all t

Then show that it is the only stable equilibrium point so that as y→1, t→∞ with any initial value.

So, the graph solution will be

y(0) = 1 and this will be an horizontal line

If, y(0) > 1 then, y' < 0 by inspecting the first equation, so the graph is has decreasing solution.

Likewise, if y(0) < 1 then, y' > 0 and the graph is increasing.

So no matter the initial condition, graph of the solution will be asymptotic to the horizontal line above.

This make the limit be 1.

This shows that x = 1 is a stable equilibrium.

6 0
3 years ago
in the town of pleasant hill there is an average of 16 sunny days each month. write an expression to represent the approximate n
denis23 [38]
32 divided by 2 would equal 16 sunny days.
6 0
3 years ago
An NBC News/Wall Street Journal poll conducted in 2010 predicted that 61% of Americans did not support the Tea Party movement. I
fomenos

Answer:

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

Step-by-step explanation:

At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.

The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.

Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

5 0
3 years ago
X + 3 =8<br> X- 5 =7 <br> Please someone help?
Sav [38]

Step-by-step explanation:

x+3=8

8-5=3 so x=5

7+5=12 / 12-7=5

12-5=7

8 0
3 years ago
Read 2 more answers
I can travel 250 miles in 90 minutes, how far can i get in 6 hours
german

90 minutes = 1.5 hours.

Divide total miles driven by the time to find how many miles are driven in 1 hour:

250 miles / 1.5 hours = 166 2/3 miles per hour.


Multiply the miles driven in one hour by 6 hours:


166 2/3 x 6 = 1000 miles

4 0
3 years ago
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