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3 years ago

How many solutions does the systems of equations have in the graph below?

Mathematics

1 answer:

Sonja [21]3 years ago

3 0

The lines are parallel
Parallel lines never cross or meet
Solutions to system of equations is the point where both lines intersect

Solution: none

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How many whole numbers between 99 and 999 contain the digit '1'?

Sedbober [7]

Answer:

162

Step-by-step explanation:

The number with "1" digit starts with 101 then 110 and so on.

6 0

3 years ago

Read 2 more answers

Primitive function for:<br><br> 1. f(x)=4e2x+e−x, sådan att F(0)=2

Free_Kalibri [48]

The primitive function for $f(x) = 4e^{2x} + e^{-x}$ is given by it's indefinite integral.

To calculate it, recall:

$\frac{d}{dx}e^{ax}=ae^{ax}$

$\int c f(x)dx = c\int f(x)dx$

Let's begin

$\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\$

$F(x) = 2e^{2x}-e^{-x} +c$

To find the costant, we just need to use the fact that $F(0)=2$

$F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3$

Therefore,

$\boxed{F(x) = 2e^{2x} - e^{-x} -3 }$

6 0

2 years ago

Susie ran a race. She ran 555 miles an hour, and the race took her ttt hours to complete. How long was the race? Write your answ

VMariaS [17]

1000 is it i think for sure

6 0

3 years ago

Evaluating to Determine Equivalent Expressions

ruslelena [56]

Answer:

:photo

Step-by-step explanation:

7 0

2 years ago

L = $20 r = 4% t = 2 years

Annette [7]

I'm guessing this is a question about interest rates? If you have $20 that increases by 4% in one year, you need to multiply 20 by 1.04. This gets you $20.8.

If you are talking about compound interest, we will take this number and multiply it again by 1.04 for the second year. 20.8 x 1.04 = $21.632.

If it is instead simple interest, we will simply add another .8 dollars for each year, instead of getting 4% interest compounded every year onto the new value. This gets you $21.6.

7 0

2 years ago