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posledela
3 years ago
7

Assume y=x²+3x+6. what is the avg rate of change of y with respect to x as x changes from -4 to -2

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0
The average rate of change is 3
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vlada-n [284]

1.

(3^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=27\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=-x^2+11x+26

or if you mean (3x^3+5x^2+3x-7)+(8x-6x^2+6):

(3x^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=3x^3\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=3x^3-x^2+11x-1

2.

(8x-4x^2+3)-(x^3+7x^2+3x-8)=\\\\=\underline{8x}\ \underline{\underline{-\ 4x^2}}+3-x^3\ \underline{\underline{-\,7x^2}}\ \underline{-\,3x}+8=\\\\=-x^3-11x^2+5x+10

3 0
3 years ago
Please help will give brainlest<br><br> Question 67x3-34+49x2
tresset_1 [31]

Answer:

265

Step-by-step explanation: Used a Calculator

8 0
3 years ago
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A certain antihistamine is often prescribed for allergies. A typical dose for a 100​-pound person is 25 mg every six hours. Comp
koban [17]

Given that a certain antihistamine is often prescribed for allergies.

And typical dose for 100-pound person is 25 mg every 6 hours.

a) Let us calculate dose per 1 hour for 100-pound person= \frac{25}{6} mg/hr

Since 1 week means 7X24= 168 hours, dosage per 1 week = dosage per 168 hours

                                                                                 =168X\frac{25}{6} = 700mg

The number of 12.8 chew able tablets would be taken in a week= \frac{700}{12.8}=54.6875

Hence number of 12.8mg chew able tablets would be taken in a week is 55.

b) Now we can use earlier answer for this problem, since 12.8mg tablet is replaced with 9ml liquid, 55 bottles of 9ml liquid are to be taken in a week.

Hence amount of liquid histamine should a 100-pound person take in a week = 55X9

                                                                                                                                 =495ml

3 0
3 years ago
What is the distance between these points: (3,-16) and (-10,-12)
Alex Ar [27]
Distance between points (3, -16) and (-10, -12) is 13.6015
8 0
2 years ago
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I NEED HELP QUICK ASAP!
kramer
Triangle 1 area : 6×4 /2 -> 24/2 -> 12
triangle 2 area : 9×8 /2 -> 72/2 -> 36
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rectangle 2 area : 15×4 -> 60
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132
8 0
3 years ago
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