So when you are trying to find the solution to the system of equations make sure that you have it where y= -4/5x-6 and y= -30 are written like this:
-30=-4/5x-6
And then solve for x:
Add 6 on both sides.
-24=-4/5x
Then multiply by the reciprocal of -4/5.
-5/4*-24=-5/4*-4/5x
x=30
But then you are gonna want to plug 30 in for x in y=-4/5x-6 to make sure that it is the same as y=-30.
Answer:
answer: 1/8
Step-by-step explanation:
because the probability of getting a nickel is 2/4 and the probability of getting a quarter is 1/4 now when I multiply them together 2/4 × 1/4 = 1/8 Hope that helps!
Answer:
Brionny invested £8400.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this question:
We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.
First year:
Amount of 2% interest, during 1 year.
So the interest earned is:

The total amount at the end of the first year is:

Second year:
We have that:

The interest earned is of:

The total amount is:

After two years, the investment is worth £8653.68 How much did Briony invest?
So



Brionny invested £8400.
Answer:
hole at x=-3
Step-by-step explanation:
The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)
The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.
So anyways we have (x+3)/(x^2-9)
= (x+3)/((x-3)(x+3))
Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.