Answer:
Every week, the mass of the sample is multiplied by a factor of 0.81
Step-by-step explanation:
Let's rewrite the base and find the expression whose exponent is just ttt.
(0.97)7t+5=(0.97)7t⋅(0.97)5=(0.977)t⋅(0.97)5
Therefore, we can rewrite the modeling function as follows.
M(t)=(0.97)5⋅(0.977)t
According to this model, the mass of the sample is multiplied by 0.977 every week. Rounding this to two decimal places, we get 0.977≈0.81.
Answer:
4(x - 9)^2 - 17
Step-by-step explanation:
A horizontal shift to the right by 9 changes x^2 to (x - 9)^2.
A vertical shift down by 1 changes - 16 to -17.
Therefore, the new equation is:
4(x - 9)^2 - 17
Answer: Below
Step-by-step explanation:
Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract
H(x) = x - 5
However, it had a domain of all real numbers such that x does not equal 3, since that would cause you to divide by 0.
Answer:
83
Step-by-step explanation:
Let the number of robbers be x
If they share 6 rolls each, the tota rolls will be 6x and since they have five remainder, the overall total is then 6x+5
In case they share 7 rolls each, it means they have 7x rolls but here they will be less 8 rolls hence 7x-8 is the overall total.
Equating these two
7x-8=6x+5
Arranging similar terms
7x-6x=8+5
x=13
Therefore, the robbers are 13
The rolla they have will be
6(13)+5=83
Or
7(13)-8=83
