Answer:
-y² - 4y - 6
Step-by-step explanation:
Step 1: Write expression
5y² - 6y - 11 - 6y² + 2y + 5
Step 2: Combine like terms (y²)
-y² - 6y - 11 + 2y + 5
Step 3: Combine like terms (y)
-y² - 4y - 11 + 5
Step 4: Combine like terms (constants)
-y² - 4y - 6
Answer:
Point of x-intercept: (2,0).
Point of y-intercept: (0,6).
Step-by-step explanation:
1. Finding the x-intercept.
This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:
Hence, the point of x-intercept: (2,0).
2. Finding the y-intercept.
This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:
Hence, the point of y-intercept: (0,6).
Looks like the labeled angle is bisected, in which case we can apply the angle bisector theorem. For this triangle, it says
Solve for 
:
Then either 
or 
, but since is a length, it must be positive. So <em>x</em> = 2.
Given : Brandon buys a radio for $45.99 .sales tax rate is 7%.sales tax is a consumption tax imposed by the government on the sale of goods and services.
Let the price of Radio before the sales tax be $x. Sales tax on $x is 7% x.
Price before sales tax + Amount of sales tax= Cost of Radio.
x+7%x =45.99
Or x+0.07x=45.99
1.07x=45.99
Dividing both sides by 1.07.
x= 41.11
Cost of Radio before tax = $41.11
Sales tax paid = 43.99-41.11= 2.88
Tax paid = $2.90 (To nearest cent)
The future value of cash whose initial value is $845, at the rate of 11.3% for 7 years will be calculated using the compound interest rate, that is:
A=p(1+r/100)^n
where:
A=future amount
r=rate=11.3%=0.113
time=7 years
thus the future value of our cash will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82
