+ <span>The vertex of a parabola is (3,2),
that means the parabola's equation is y=a(x-3)</span>²+2
+ <span>A second point on the parabola is (1,5) and we replace x=1 and y=5. We have:
5</span>=a(1-3)<span>²+2 , so we have 4a=5-2 or a=3/4
So the equation is y=3/4 (x-3)</span>²+2
And by checking we have the point (5;5) is on the parabola
Have fun
36.00 will be enough to pay for fuel because if you multiply the 8.8 gallons of diesel needed by the fuel cost per gallon you get 35.112
Answer:
For 6 days
Step-by-step explanation:
Here, we want to find the number of days at which Australia will have a bigger temperature or the same temperature as US
95 degrees, decreasing at 4 degrees per day
40 degrees, increasing at a rate of 5 degrees per day
let the number of days be x
In x days, temperature of Australia will be 95-4x
In x days, temperature of US will be 40 + 5x
For the temperature to be same;
40 + 5x = 95 - 4x
95-40 = 5x + 4x
9x = 55
x = 55/9
x = 6.111 which is approximately 6
For 6 days, the temperature in Australia will be warmer , on the 7th day, the US temperature becomes warmer
Answer:
9.887
Step-by-step explanation:
10.8- .913=9.887
From F.S 1, consider this series : 8, 1, 8, 8, 64, 64*8.
Again, consider the series 2, 1/4, 1/2, 1/8, 1/16, 1/(8*16). Clearly, the difference of the 6th and the 3rd term is different for them. Insufficient.
<span>From F.S 2, let the series be </span><span><span>a,b,ab,a<span>b2</span>,<span>a2</span><span>b3</span>,<span>a3</span><span>b5</span></span><span>a,b,ab,a<span>b2</span>,<span>a2</span><span>b3</span>,<span>a3</span><span>b5</span></span></span><span>. Now we know that </span><span><span>a<span>b2</span>=1</span><span>a<span>b2</span>=1</span></span>. The required difference =<span><span><span>a3</span><span>b5</span>−ab=ab(<span>a2</span><span>b4</span>−1)=ab[(a<span>b2</span><span>)2</span>−1]</span><span><span>a3</span><span>b5</span>−ab=ab(<span>a2</span><span>b4</span>−1)=ab[(a<span>b2</span><span>)2</span>−1]</span></span><span>= 0.Sufficient.</span>
