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DochEvi [55]
2 years ago
11

Evaluating Piecewise Functions: Please explain your answer. Thank you.

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

Answer:

f(-1) is undefined.

Step-by-step explanation:

We are given:

f(x) = \left\{        \begin{array}{ll}            -3x-11 & \quad x \leq -5\\            2 & \quad x > 5        \end{array}    \right.

And we want to find f(-1).

The piecewise function only gives us values for <em>x-</em>values less than or equal to -5 or greater than 5.

Since -1 is fits neither of those conditions, it is not defined.

Our answer is undefined.

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Write the equation of the parabola that has the vertex at point (2,7) and passes through
Anton [14]

Answer:

f(x) =  \frac{4}{3} (x - 2) ^{2}  + 7

Step-by-step explanation:

the answer is :- .

f(x) =  \frac{4}{3} (x - 2) ^{2}  + 7

6 0
2 years ago
A researcher is interested in determining the mean energy consumption of a new
Nana76 [90]

Answer:

The most appropriate  value of the critical value is 2.289.

Step-by-step explanation:

We are given that a researcher takes a random sample of 41 bulbs and determines  that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.

We have to find that when constructing a 97% confidence interval, which would be the most appropriate  value of the critical value.

Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.

So, for finding the critical value we will look for t table at (41 - 1 = 40) degrees of freedom at the level of significance will be \frac{1 - 0.97}{2} = 0.015 .

Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;

     \frac{0.015 - 0.025}{0.025-0.01}= \frac{\text{Critcal value}-2.021}{2.021-2.423}

So, the critical value at a 1.5% significance level is 2.289.

7 0
3 years ago
Chico is financing a car for $9,550 and an APR 8.9 percent for 3 years. What is his monthly payment if the monthly payment per $
Alik [6]

Answer:

the monthly payment is $303.69

Step-by-step explanation:

this is how i got it:

9,550 divided by 100= 95.5

95.5 x 3.18= 303.69

so the monthly payment it $303.69

5 0
3 years ago
Change 1.77 tones to kilograms
lozanna [386]

Answer:

1770

Step-by-step explanation:

multiply the mass value by 1000

that is the easy way

5 0
2 years ago
Emory ran 3 miles in 30 minute. At this pace, how long will it take Emory to run 9 miles? Explain your method AND your reasoning
kvasek [131]

Answer:

It will take him 1 hour and 30 minutes. (90 minutes)

Step-by-step explanation:

If he is running 1 mile in 10 minutes and he needs to run 9 miles the just multiply 9 by 10 to get 90 then simplify if you need to to get 1 hour and 30 minutes.

Hope this helped and have a great rest of your day.

3 0
3 years ago
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