Answer:
x^2 +8x+15
Step-by-step explanation:
(X+3)(x+5)
FOIL
first x^2
outer 5x
inner 3x
last 15
Add together
x^2 +5x+3x+15
x^2 +8x+15
Answer: $5100
Step-by-step explanation:
Given, The prize money starts at $20 for the first question.
Let a= 20,
Also, Each question is tougher than the one before it, and the station doubles the prize money from the previous amount.
i.e. the sequence prize willbe : $20 , 2 x ($20) , 2² x ($20)x ....
That is its is an geometric progression with the common ratio r= 2,
Since the sum of n terms in GP is given by :-

So the total money will it hand out in prizes after 8 questions would be :

Hence, the total money it will hand out in prizes = $5100
Answer:
(24-4.00)-4.50/20
Step-by-step explanation: 24 minus 4 would be 20 and you could buy 4 phone cases because 20 divided by 4.50 is 4.4 so 4 times 4 is 16 plus the 2.00 dollars extra from the .50 in the 4.50 so it would be you can buy 4 phone cases.
There is a right triangle with the height (4) and half the base (3) as legs and the slant height (x) is the hypotenuse:
4² + 3²= x²
x² = 16+9
x =5 mm