Answer: x = - 19
y = 55
Step-by-step explanation:
y = - 3x - 2 (1)
5x + 2y = 15 (2)
substitute y = - 3x - 2 into equation (2)
equation (2) becomes
5x + 2 (-3x - 2) = 15
5x + ( - 6x - 4) = 15
opening the bracket
5x - 6x - 4 = 15
collecting like terms
5x - 6x = 15 + 4
-x = 19
x = - 19
substituting x = - 19 into equation 1
y = - 3x - 2
y = - 3 (-19) - 2
y = 57- 2
y = 55
Answer:
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Answer:
The answer to this is: y = (x - 6)² - 28
Step-by-step explanation:
The first step is to make sure the coefficient in front of x² is 1. If it isn't, just divide the whole equation by the coefficient. In this case, you don't need to do any division because you just have x²
Group the first two terms involving x² and x:
(x² - 12x) + 8
Now complete the square as follows:
a. Take the coefficient in front of x --> -12
b. Halve it --> -6
c. Square it --> (-6)² = 36
d. Add this and subtract it
(x² - 12x + 36 - 36) + 8
Take the negative number outside the parentheses:
(x² - 12x + 36) - 36 + 8
(x² - 12x + 36) - 28
The part in parentheses is a perfect square so rewrite it as such. If you need help refer back to step b.
(x - 6)(x - 6) - 28
(x - 6)² - 28
P.S. Vertex form is:
(x - h)² + k
In that form, the vertex is (h, k). In your case, the vertex of the parabola would be (6, -28).
Answer:
y = (x - 6)² - 28
Answer:
106.86 dollars
Step-by-step explanation:
A = Pe^rt
A = 3,000*e^.07*.5
A = 3106.86
3106.86 - 3000 = 106.86
The reason why I multiply .07 by .5 is because 6 months is equal to half a year and t is in the form of years. 6/12 = 0.5.
The amount A when the principal P is compounded continuously is given by the formula :
Here r is rate of interest and t is time .
In the question P=1600 ,r=6.5%=0.065 ,t= 6 years
Substituting these values in the formula
A= 1600(1.48)
A=2363.17
Balance after 6years is $2363.17