Answer:
a) A = {-3, -2, -1}
b) n(A) = 3
c) A is finite
Step-by-step explanation:
a) The elements of A are the integers between -4 and 0, not including those values. Those integers are -3, -2, -1, so those are the elements of set A.
A = {-3, -2, -1}
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b) n(A) is the number of elements in set A. Obviously, there are 3:
n(A) = 3
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c) Since n(A) is not "infinity", the set A is finite.
Answer:
Step-by-step explanation:
y=ax²+bx+c
x=0,y=0,c=0
y=ax²+bx
2=9a+3b (×-5)
3=25a+5b(×3)
add
9-10=75a-45a+15b-15b
30a=-1
a=-1/(30)
2=9×(-1/30)+3b
3b=2+3/10=23/10
b=23/30
y=-1/30 x²+23/30=-1/30(x²+23x+(23/2)²)+1/30 ×(529/4)
y=-1/30(x+23/2)²+529/120
now, bear in mind that all these ones are lines, and to graph a line all you need is two points, so let's pick a couple of random values for say "x" and let's see what we get for "y" and that's our x,y point.
3)
![9x+4y=-16\implies \stackrel{\textit{using x = 0}~\hfill }{9(0)+4y=-16}\implies 4y=-16 \\\\\\ y=\cfrac{-16}{4}\implies y=-4~\hspace{10em}(0~~,~~-4) \\\\[-0.35em] ~\dotfill\\\\ 9x+4y=-16\implies \stackrel{\textit{using x = -4}~\hfill }{9(-4)+4y=-16}\implies -36+4y=-16 \\\\\\ 4y=20\implies y = \cfrac{20}{4}\implies y = 5~\hspace{10em}(-4~~,~~5)](https://tex.z-dn.net/?f=9x%2B4y%3D-16%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20x%20%3D%200%7D~%5Chfill%20%7D%7B9%280%29%2B4y%3D-16%7D%5Cimplies%204y%3D-16%20%5C%5C%5C%5C%5C%5C%20y%3D%5Ccfrac%7B-16%7D%7B4%7D%5Cimplies%20y%3D-4~%5Chspace%7B10em%7D%280~~%2C~~-4%29%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%209x%2B4y%3D-16%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20x%20%3D%20-4%7D~%5Chfill%20%7D%7B9%28-4%29%2B4y%3D-16%7D%5Cimplies%20-36%2B4y%3D-16%20%5C%5C%5C%5C%5C%5C%204y%3D20%5Cimplies%20y%20%3D%20%5Ccfrac%7B20%7D%7B4%7D%5Cimplies%20y%20%3D%205~%5Chspace%7B10em%7D%28-4~~%2C~~5%29)
check the red line in the picture below.
4)
check the blue line in the picture below.
Answer:
Step-by-step explanation:
I'll do them you arrange.
x + (x - 1) > 5
If you start with 3 you will see that the answer is that the left equals the right. So 4 is the smallest number x can have
3 + (3 - 1)>5
6 - 1 = 5 not something greater than 5
4 + (4 - 1) > 5
8 - 1 > 5
7 > 5 which is true.
Answer 4
5x - 3x > 9
2x > 9 x must equal 5
2*5 > 9
10 > 9
Answer 5
6x - 14 > 3 add 14 to both sides.
6x - 14+14>3+14
6x > 17 The answer to equality is just about 3. So three is the answer
6*3 > 17
18 > 17
Answer 3
2x - 1 > 0 Add 1 to both sides.
2x > 1 1 is the answer
2*1 > 1
2 > 1
Answer 1
So all you need do is place them in order. The last one goes first and then the second last one.
Hello :)
So we are given Miguel bikes 25 km per hour.
Since it is per hour you can take a letter variable (in this case they used t) and multiply it by 25.
Then we are given the fact that he starts at mile 10, we would add this too the 25t because it is where he starts.
So Miguel's system of equations would be; d=25t+10
Now, for gabby we are given the fact that she bikes 30 km per hour. We do the same thing that we did with Miguel we take that number (30) and multiply it by a variable.
then we are given that she starts at 0, so we don't have to include this number.
So Gabby's system of equations would be; d=30t
the answer here would be A
Hope this helps :)
