Answer:
Equation of the axis of symmetry is: x = 3
Step-by-step explanation:
The equation

is the equation of a parabola, of the form
whose vertex is located at the x-coordinate:

Then, for our case the x position of the given parabola, is:

Then the equation of the axis of symmetry, which is a vertical line that goes through the vertex, would be given by:
x = 3
Answer:
43 and 41
Step-by-step explanation:
2n-1+2n-3=84
4n-4=84
4n=88
n=22
2(22)-1 and 2(22)-3
44-1 and 44-3
43 and 41
write these numbers according to the directions (in least to greatest form) and you get the numbers 41 and 43.
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Odd integers can be written in as 2n-1, 2n+1, 2n+3 and so on. Basically, by writing 2n, you guarantee an even integer and when you add an odd integer to an even integer, you get an odd integer. Try using 2n-1 and 2n+1 as your consecutive odd integers and you will get the same solution.
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Answer:
Step-by-step explanation:
cross multiply to get 300=4n then divide by 4 to get 75
We need to assign a value for x to check the possible values of y.
1st inequality: y < -0.75x
X = - 1 ; y < -0.75(-1) ; y < 0.75 possible coordinate (-1,0.75) LOCATED AT THE 2ND QUADRANT
X = 0 ; y < -0.75(0) ; y < 0 possible coordinate (0,0) ORIGIN
X = 1 ; y < -0.75(1) ; y < -0.75 possible coordinate (1,-0.75) LOCATED AT THE 4TH QUADRANT
2nd inequality: y < 3x -2
X = -1 ; y < 3(-1) – 2 ; y < -5 possible coordinate (-1,-5) LOCATED AT THE 4TH QUADRANT
X = 0 ; y < 3(0) – 2 ; y < -2 possible coordinate (0,-2) LOCATED AT THE 4TH QUADRANT
X = 1 ; y < 3(1) – 2 ; y <<span> 1 possible coordinate (1,1) LOCATED AT THE 1ST QUADRANT
The actual solution to the system lies on the 4TH QUADRANT.
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