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romanna [79]
3 years ago
8

Which of these systems of equations shows the solution for the graph?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0

Answer:

C)

Step-by-step explanation:

Note that one of the lines is simply y=-1 for any x, so we can dismiss the only answer without y=-1. That rejected answer is A)

Now let's notice, that the other line is decreasing y when increasing x. That tells us that in the equation y = ax + b, a has to be negative. This brings us to reject option D).

What is the y of that line for x = 0? Because y = ax + b, for x = 0 we will get the value of b. This is called the intercept. The line is at y=4 for x=0, so we know that the b in the equation must be positive 4. This fits answer C, but rejects answer B). And so, we have found that C) is the only possible answer.

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Answer:

a5 =243 x (1/3)^(5-1) = 243x 1/81 =3

Explanation

a(n) = a(1) x r^(n-1)

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3 years ago
How long will it take a seal swimming at a speed of 8 miles per hour to travel 52miles
Soloha48 [4]
It will take the seal 6.5 hours to swim 52 miles.
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3 years ago
Read 2 more answers
Arturo is
Brums [2.3K]

Answer:

<u>Yes</u>

Step-by-step explanation:

<u>When there are 2 rows</u>

  • Number of erasers per row =  No. of erasers / No. of rows
  • Number of erasers per row = 18/2
  • Number of erasers per row = 9

<u>When there are 3 rows</u>

  • Number of erasers per row =  No. of erasers / No. of rows
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<u>Therefore, there will be more erasers per row in 2 equal rows than in 3 equal rows.</u>

7 0
2 years ago
8/x-5 - 9/x-4 = 5/x^2-9x+20
adelina 88 [10]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2752942

_______________


Solve the equation:

\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}


Reduce the fractions at the left side so that they have the same denominator:

\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\&#10;\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\&#10;\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\&#10;\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}


Numerators must be equal:

\mathsf{8x-32-(9x-45)=5}\\\\&#10;\mathsf{8x-32-9x+45=5}\\\\&#10;\mathsf{8x-9x=5+32-45}\\\\&#10;\mathsf{-x=-8}\\\\&#10;\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}


I hope this helps. =)


Tags:  <em>rational equation fraction solution algebra</em>

7 0
3 years ago
Find the center and radius of the circle.<br> (x + 3)2 + (y + 4)2 =9
Tpy6a [65]

The general equation for any circle with its center at point (a, b) is

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