Similar question:
https://web2.0calc.com/questions/coordinate-question_8
See if you can figure this one out using the same methodology .....
k - 2/7 k = 140 k = 196 originally
196 - 140 = 56 given to James
100 - 56 = 44 dollars is what James originally had
Alternating angles are = x = 21 degrees
or the sum of the angles in a triangle = 180
the other angle near A = 90 - 21 = 69o
then 69 + x + 90 = 180o
x + 159 = 180
x = 21 degrees
starts with x dollars
then spends 420
now has x - 420
spends 1/4 of this leaving 3/4 of this :
(x-420) * 3/4 = 6/11 x solve for x
3/4 x - 315 = 6/11 x
x = 1540 dollars initially
You are given zeroes at 2 and -4
so the quadratic is of the form y = a ( x-2)(x+4)
y = a ( x^2 + 2x - 8) when x = 3 we need y = 6
(a )(9 + 6 - 8 ) = 6
a =6/7
y =6/7 x^2 +12/7 x -48/7
The shaded area is everything less than and INCLUDING the line .... find the equation of the line to be
y = 2 x -4
shaded are is thus y <= 2x-4
B) IF they study the ice core inclusions they can get a reading of what atmospheric gases ( some of which are called 'greenhouse' gases) were present in specific periods in the past
You're welcome ...........
sum of their ages / 3 = 20
sum of their ages = 60
then add 18 to the sum ( 6+6+6)
= 78
y = -3/7 x + 18 <===== given
x intercept occurs when y = 0
0 = - 3/7 x + 18
x = 18 / (3/7) = 42 x intercept = 42