Answer:
x is any number less than -64; i.e. -66
Step-by-step explanation:
Inequality
3x + 23y - 15 < 0
where point (x,9) satisfies this
Substitute 9 for y
3x + 23(9) - 15 < 0
3x + 207 - 15 < 0
3x + 192 < 0 Take away 192 from both sides
3x < -192 Divide both sides by 3 to isolate x
x < -64
Check:
3(-64) + 23(9) -15 < 0
-192 + 207 - 15 < 0
-192 + 192 < 0
Therefore x must be less that -64 to satisfy the point (x, 9) in this inequality.
Answer:
1 to 4
Step-by-step explanation:
I don't think u want the explanation
Using a graphing calculator, we can see the graph of the function y = x²-4x+1:
as we can see, the vertex of the function is (2,-3), and the solutions are (0.3,0) and (3.7,0)
Answer:
- 3.75 bags of ChowChow
- 0.75 bags of Kibble
Step-by-step explanation:
The constraints on protein, minerals, and vitamins give rise to the inequalities ...
40c +30k ≥ 150 . . . . . . required protein
20c +20k ≥ 90 . . . . . . required minerals
10c +30k ≥ 60 . . . . . . . required vitamins
And we want to minimize 10c +12k.
The graph shows the vertices of the feasible region in (c, k) coordinates. The one that minimizes cost is (c, k) = (3.75, 0.75).
To minimize cost, the daily feed should be ...
- 3.75 bags of ChowChow
- 0.75 bags of Kibble
Daily cost will be $46.50.
Let us assume that the number of beige tiles bought by Susan = B
Number of red tiles bought by Susan = R
Number of navy-blue tiles bought by Susan =N
Number of tiles bought altogether = 435
Now from the given question we know:
Number of red tiles bought is 25 more than the number of beige tiles.
So
R = 25 + B
Number of navy blue tiles bought is 3 times that of the number of beige tile bought
So
N = 3B
We already know that the total number of tiles bought is 435
Hence
B + R + N = 435
B + (25 + B) + 3B = 435
5B + 25 = 435
5B = 435 -25
5B = 410
B = 82
R = 25 + B
= 25 + 82
= 107
N = 3B
= 3 * 82
= 246
So the number of Beige tiles bought by Susan = 82
The number of red tiles bought by Susan = 107
The number of navy-blue tiles bought by Susan = 246
