Find the domain and range of function y = √(−x^{2} −6x+2)

Answers

Answer 1

Answer: $y=√(-x^2-6x+2)\n\nD:-x^2-6x+2\geq0\n\na=-1;\ b=-6;\ c=2\n\n\Delta=b^2-4ac;\ iff\ \Delta \geq0\ then\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-6)^2-4\cdot(-1)\cdot2=36+8=44;\ \sqrt\Delta=√(44)=√(4\cdot11)=2√(11)\n\nx_1=(6-2√(11))/(2\cdot(-1))=-3+√(11);\ x_2=(6+2√(11))/(2\cdot(-1))=-3-√(11)\n\nlook\ at\ the\ picture\n\nD:x\in\left<-3-√(11);-3+√(11)\right>$

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What is the answer to this? Justify your reasoning, please!
Solve for d.120 - 11d + 2d + 4d - 5 = 16
What is the prescribed dosage of a certain medicine for a child 6 years old, if the adult dosage of the medicine is 180 milligrams?C= a/((a+12)) ∙ 180 C = child’s dosage in milligrams a = age of the child A = adult dosage in milligrams
Please answer ASAP! I need the answer put very clearly- thanks :)

Morgan measures the capacity of a juice glass to be 12 fluid ounces. If she uses the glass to drink 4 glasses of water throughout the day, how many pints of water does morgan drink?

Answers

So,

Morgan drank 4 glasses of water out of a juice glass that contains 12 fluid ounces. To find how many pints Morgan drinks, we need to multiply the number of glasses by the number of fluid ounces, convert from fl. oz. to cups, and convert from cups to pints.

4 * 12 = 48 fl. oz.

8 fl. oz. = 1 cup
48 fl. oz. = 6 cups

2 c. = 1 pt.
6 c. = 3 pt.

Morgan drink 3 pints of water.

approximately 3 liquid pints. (3.00005)

Evaluate the numerical expression 2+(65+7) multiply 3=what

Answers

218 is the right answer

Your answer should be 218 because 65+7=72 then 72*3=216 then 216+2= 218
Hope i could help (:

Let set C = {1, 2, 3, 4, 5, 6, 7, 8} and set D = {2, 4, 6, 8}.Which notation shows the relationship between set C and set D?

A: C ∪ D
B: C ∩ D
C: D ⊆ C
D: C ⊆ D

Answers

1. If it is intersection then it SHOULD be included in both the sets right? Now we know that odd numbers from 1-100 but the second set are multiples of 5 from 50-150! So we mainly need to look for common numbers which are ODD and are a MULTIPLE OF 5 BETWEEN 50 - 100!! So A={51,53,57,59,61......99} B={55,60,65,70.......95} [We stop till 100 because set A has no such element] So what is A ∩ B here? A ∩ B = {All odd numbers and multiples of 5 between 50 - 100}

Last year , a large trucking company delivered 5.5*10^5 tons goods with a average value of $23,000 per ton . What was the total value of the goods delivered ? Write your answer in scientific notation . Please , I have to do this before bed time . Can you help me ?
Thank you :)

Answers

5.5*10^5 = 550,000 tons

$23,000 per ton

23,000 x 550,000 = $12,650,000,000 (total value)

Now to convert to scientific notation.

1.265 x 10^10

Hope that was useful :)

Find the common ratio for the following sequence.

0.1, 0.01, 0.001, ...

Answers

Well, you divide by 10 each time, so a common ratio is 1/10. Haven't done this in a while so. Not entirely sure

Please help if you can!! I would appreciate it alot!People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?

Answers

Answer:

44%

Step-by-step explanation:

1144 is 44 percent of 2600

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