Answer:
x = -3 x=8
Step-by-step explanation:
(x+3)(x-8)=0
Using the zero product property
x+3 =0 x -8 = 0
x = -3 x=8
Let the height be h
According to the Pythagoras Theorem,
h= root 15^2-5^2
= root 225-25
= root 200= 14.14
Thus, the ladder reaches approximately 14.14 feet from the base of the house
Answer:#of dimes is 15 # of quarters is 10
Step-by-step explanation:method is elimination my multiplication. First equation is x+y=25 multiply it by -10. Second equation is 10x+25y=400. A quarter is .25 and a dime is .10 but to avoid all decimals I multiplied by 10 but it doesn’t matter because I did it on both sides. Use systematic equation solving to get 15y=150 then y=10. Plug it into the first to get x+10=25 subtract to get 15. Mr. Jacobs does get excessive sometimes lol.
The axis of symmetry would be -3 because it is always the (x) of the vertex
Answer:
at least 450 minutes
Step-by-step explanation:
Find an expression for the cost of each plan as a function of the number of minutes. Set the expressions equal to each other, and solve for the number of minutes.
Let x = number of minutes.
First plan:
cost (in dollars) = 0.21x
Second plan:
cost (in dollars) = 0.11x + 44.95
Set the expressions equal:
0.21x = 0.11x + 44.95
Subtract 0.11x from both sides.
0.1x = 44.95
Divide both sides by 0.1
x = 44.95/0.1
x = 449.5
Since you cannot have a fraction of a minute, the answer is 450 minutes.
