Answer:
y = 5 and x = -3
Step-by-step explanation:
Given,
y = x + 8 ...............( equation 1 )
x + y = 2 ...............( equation 2 )
Now, by substituting the value of y in equation 2, we get;
⇒ x + x + 8 = 2
⇒ x = -3
and now, by substituting the value of x in equation 1, we get;
⇒ y = -3 + 8
⇒ y = 5
The option C) y = 15/x
a) y = 15 x is an example of direct variation, with proportionality constant = 15
b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin)
c) y = 15/x => y*x = 15 = constant which is the characteristic of an inverse relation
d) y = x/15 is an example of an inverse relation, with proportion constant = 1/15
Answer:
158 cases
Step-by-step explanation:
Given tbe quadratic regression model :
y = -2x^2 + 40x + 8
y = number of cases of a new disease
x = number of years
The predicted number of cases of a new disease in 15 years can be calculated thus ;
Put x = 15 in the equation ;
y = -2(15)^2 + 40(15) + 8
y = - 2 * 225 + 600 + 8
y = - 450 + 600 + 8
y = 158
158 cases
I think the one you chose is correct but I am not sure tho
Answer:
T = 75 + 116.9*N
Step-by-step explanation:
We have that the equation for Michael's savings is:
A = 75 + 50.85*N, where N is the number of weeks
And we have that the equation for his wife's savings is:
B = 65.95*N.
So, to find the total amount saved using both plans combined (T), we have to sum A and B:
T = A + B = 75 + 50.85*N + 65.95*N = 75 + 116.9*N
So the equation that relates T to N is:
T = 75 + 116.9*N