A quadratic equation has the general formula
expressed as:<span>
ax^2 + bx - c = 0
This equation can be solved by the quadratic
formula which is expressed as:
x = ( -b (+ or -) √(b^2 - 4ac) / 2a
From the given equation, </span><span> y=-0.005x^2+0.41x-5.1
</span><span>
a = -0.005
b = 0.41
c = -5.1
Using the quadratic formula and the corresponding values of the coefficient, we substitute these and obtain:
</span>x = ( -b (+ or -) √(b^2 - 4ac) / 2a
x = ( -0.41 (+ or -) √(0.41^2 - 4(-0.005)(5.1)) / 2(-0.005)
x1 =66.71
x2 = 15.29
Therefore, the quadratic equation would be factored by using the values of x we obtained as follows:
<span>y= -0.005x^2 + 0.41x - 5.1
</span>y = (x - 66.71) ( x - 15.29 )
Answer:
Graph of equations provided in the attached image.
Step-by-step explanation:
Fresh Side : 4.41 / 7 = 0.63 per bagel
Value Mart : 3.60 / 5 = 0.72 per bagel
Fresh Side bagels are a better buy being that each bagel cost 0.63 compared to the bagels at Value Mart, which cost 0.72 per bagel.
The equation for this is:
F = P(1+i)ⁿ
where
F is the present accounts balance
P is the initial deposit
i is the interest rate
n is the number of months
The interest rate is nominal which is 2.9% per year compounded monthly. Since there are 12 months in a year, that is equal to an effective interest rate of 0.24167% per month compounded monthly (i = 0.0024167). In 9 years, there are a total of 108 months, so n=108.
<span>$2033.88 = P(1+0.0024167)</span>¹⁰⁸
P = $1567.147
Answer:
The estimated mean number of rockets hits in the region is 533.
Step-by-step explanation:
We are given the following information,
Number of rocket hits | Observed number of regions
0 | 228
1 | 214
2 | 94
3 | 32
4 | 7
5 | 0
6 | 0
7 | 1
We are asked to estimate the mean number of rocket hits in the region.
The mean or expected value is given by
Therefore, the mean number of rockets hits in the region is 533.
