There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
There will be 38 grams remaining.
The equation would be of the form
y = a(1+r)ˣ, where a is the initial value, r is the rate as a decimal number, and x is the amount of time. Using our values from the problem, we have:
y = 670(1-0.273)^9 = 670(0.727)^9 = 38
53.67 to one decimal place is 53.7 since you round the .6 to the .7
Answer:
d
Step-by-step explanation:
i did th etst hope it helps
<span>The list of
scores will be: 30 60 63 65 65 67. To get the median, you have to
arrange the scores from lowest to highest. The middle number is the median. In
this, case there are two numbers in the middle so you have to add the two and
then divide by two.</span>
<span>Therefore, 63 +
65 = 128 / 2 = 64.</span>
