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3 years ago

Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.

Mathematics

1 answer:

telo118 [61]3 years ago

3 0

We need to find f(x) on those 2 points and than divide y length (f(x2)-f(x1)) with x lenght (x2 - x1) to find average

f(x = -2) = 0

f(x = 0) = 6

Avg = 6 / 2 = 3

Answer is C

We have to use absolute valuee for x distance because distance between x1 and x2 cannot be negative it can only be positive.

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A bus is traveling at 50 mph. If the rate of speed increases 3 mph each hour, how long will it be before the bus is traveling at

arsen [322]

Answer:

It will take 10 hours.

Step-by-step explanation:

By using the formula of motion,

v = u + at

Here, v = Final speed of an object

u = initial speed

a = Acceleration by which the speed is increasing

t = Duration or time

Now substitute the values given in the question,

80 = 50 + 3t

3t = 30

t = 10 hours

Therefore, after 10 hours speed of the bus will be 80 mph.

4 0

3 years ago

Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)

maxonik [38]

Answer with Step-by-step explanation:

We are given that

$r(t)=< t^2,\frac{2}{3}t^3,t >$

We have to find T,N and B at the given point t > (1, $2/3$ ,1)

$r'(t)=$

$\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1$

$T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}$

Now, substitute t=1

$T(1)=\frac{}{2+1}=\frac{1}{3}$

$T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}$

$T'(1)=-\frac{4}{9}+\frac{1}{3}$

$T'(1)=\frac{1}{9}=$

$\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}$

$N(1)=\frac{T'(1)}{\mid T'(1)\mid}$

$N(1)=\frac{}{\frac{2}{3}}=$

$N(1)=$

$B(1)=T(1)\times N(1)$

$B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}$

$B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})$

$B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k$

$B(1)=\frac{1}{3}$

5 0

2 years ago

What value of x makes the equation true?

NNADVOKAT [17]

x= -4 because 1.4 times -4=- 5.6 and 2.6 times -4=-10.4 and when we add to numbers postive or negative numbers it stays positive or negative depnding on the problem and 10.4 + 5.6 + 16 however becuase both were negative the answers stays negative making the answer _ 16 and it says 1.4x+2.6x=-16 so the correct answer is x= -4

5 0

2 years ago

Read 2 more answers

Solve for x9(x + 1) = 25 + x

vaieri [72.5K]

When you expand the equation, you will have
9x + 9=25 + x
Next you have to collect like terms
+x will go over the equality sign to become -x. The same applies to +9
9x - x=23 - 9
9x minus x is 8x
8x=14
Divide both sides by 8
x=14/8
You will have 1 6/8
6 is the remainder while 1 is the number of times 8 divided 14.
In decimal, it will be 1.75
Hope that helped. Good luck

8 0

3 years ago

Read 2 more answers

Help me please help

Iteru [2.4K]

I am not sure but i think it’s 56•

8 0

2 years ago