Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
Answer:
99/100
Step-by-step explanation:
First of all recall that
Now we we will try to apply that formula for 
and 
.
First rewrite 
Now
Answer:
It is angle k and angle l
Step-by-step explanation:
When opposite sides are given, especially for a right triangle, the longer the length the bigger the angle. The hypotenuse, which is across the right angle is always longest. The shortest side will always have the smallest angle. Check the image if it helps.
The 13 pound bag is 1/2 of the 26 pound bag so if 40 dogs eat that then 20 dogs will eat 13 pounds.
Your answer should be 20 dogs
Answer:
(x+3)²-11=0
Step-by-step explanation:
0=9(x2+6x)-18
0= 9x² +54x-18
0= 9( x²+6x-2) taking 9 common
0= x² +6x-2 (breaking the mid term to find the second element of the square
0 = (x)² +2(x)(3) +(3)² -2 -9 adding and subtracting the second element
0= (x+3)² -11 summing up
