Answer:
The first option
Step-by-step explanation:
The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.
So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. 
. So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is 
. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15
The 2nd answer
looking at the graph
when she was born she was 0 years old. and at the 0 year, the height is at 30 in
Answer:
Company B is the better deal. Diego will save $31.5.
Step-by-step explanation:
First, find the area of the rectangle: 45*30=1350 sq.ft.
Next, find out how much it will cost for Company A: $3.9 for 2 x 5 ft (10 sq.ft)
Divide 1350 by 10 to see how many of their sod rolls will fit into his yard=135.
Multiply $3.9 by 135=526.5$
Do the same with Company B: $150 for 450 sq.ft plus $45 delivery.
Dived 1350 by 450 to see how many rolls= 3
Multiply $150 by 3= $450, then add $45= $495
Subtract Company B's $495 from Company A's $526.5= $31.5 <-how much Diego saved.
Yes y=x^2 is a function because Using the definition of a function, y=x^2 is a function because for every x-value in your domain, you will only get 1 unique y-value. A quick check you can do is to use the vertical line test
Answer:
Since their corresponding angles are congruent and the corresponding sides are in proportion
Step-by-step explanation:
For ABD,
Sin (B) = (AD ÷ AB) =1
∴ AD = AB
and if AD = AB
⇒ AD = AC (since AD 1 CB).
From triangle ACD,
Sin(C) = (AD ÷ AC)
Since AD = AC , Hence Sin (B) = Sin (C) = 1
Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)
