Step-by-step explanation:
<h2>b⁸ ( 32b⁵)</h2>
<h2>
that's all</h2><h2>
your answer</h2>
500 people took the survey.
12 out of 15 people is 80% of the population. 12/15 = 0.80
Thus, 80% of the population prefers eating in the restaurant.
If 400 represents the people who prefers eating in the restaurant; then, 400 is the 80% of the population. To get the total population or 100%, we must divide 400 by 0.80 or 80%
400 / 0.80 = 500 people.
Out of the 500 people, 400 selected eating in the restaurant while the remaining 20% of the population or 100 people selected cooking at home.
Answer:
There is one possible solution
Step-by-step explanation:
Here, we want to get the number of solutions
We can proceed to solve the equation
we have two y values so we can directly equate the x parts
-2x - 4 = 3x + 3
3x + 2x = -3-4
5x = -7
x = -7/5
To get y, we substitute
We can only get one value of y too
So we have a point (x,y) as the solution to the system of equations
The equation of a hyperbola is:
(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1
So what we have to do is to look for the values of the variables:
<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>
<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>
<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>
<span>b^2 = 49 – 9</span>
<span>b^2 = 40
</span>
Therefore the equation of the hyperbola is:
<span>(x^2 / 9) – (y^2 / 40) = 1</span>
Answer:
answer is 11 feet is the correct answer
