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2 years ago

15

Morton and Lyndal invested together in a new venture. Lyndal invested $500 more than Morton. If they invested $5000 together, ho

w many dollars did Morton invest?

1 answer:

Kaylis [27]2 years ago

8 0

Lyndal invested $3000 and Morton invested $2000

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Differentiate 2sin(5x-3)

anygoal [31]

$f(x)=2\sin(5x-3)\\
f'(x)=2\cos(5x-3)\cdot5=10\cos(5x-3)$

3 0

2 years ago

Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.

hoa [83]

Answer:

Hence, the average rate of change is:

$\dfrac{97}{12}$

Step-by-step explanation:

We are asked to calculate the average value of the function:

$f(x)=x^2-\dfrac{1}{x}-4$ in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:

$\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}$

Now,

$f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}$

$f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}$

Hence, the average rate of change is:

$\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}$

Hence, the average rate of change is:

$\dfrac{97}{12}$

8 0

2 years ago

Read 2 more answers

A car starts from rest and accelerates for 6.2 seconds for a total of 160m. What is the acceleration of the car

Nat2105 [25]

Answer:

8.32 m/s^2

Step-by-step explanation:

Hope this helps it.

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2 years ago

*URGENT*<br> I don’t understand this and i don’t know the answers, please help!!

motikmotik

Answer:

A) x>8

B) x<4

Step-by-step explanation:

A) 3x+5>29

3x>24

x>8 (It's greater than because the angle opposite is greater than the other angle)

B) 6x-17<7

6x<24

x<4 (It's less than because the angle opposite is smaller than the other angle)

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2 years ago

As a Question How many Students on here use Acellus?

UkoKoshka [18]

Slew lines are lines that don’t intersect (or cross over one another) and don’t lie on the small plane. So for an example, if you pick a line on the floor and a line on one of the walls, they would be skew lines because they are on different planes. It they also can’t intersect each other.

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2 years ago