Answer:
1. infinite solutions.
2. no solutions.
Step-by-step explanation:
a. 8x + 7 = 8x + 7
The expressions are equal to each other; therefore, the equation has infinite solutions.
b. 10t - 6 = 10t + 6
10t = 10t + 12
0 = 12
These terms do not equal each other. 0 does not equal 12; therefore, this equation has no solutions.
For this case we have that the main function is given by:
We apply the following transformation:
Vertical displacements:
Assume k> 0
To graph y = f (x) - k, move the graph k units down.
For k = 3 we have:
Answer:
when the function is changed to f (x) - 3 the change that will occur is:
Vertical displacement 3 units down.
Answer:
The answer would have to be D
Step-by-step explanation:
Answer:
The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×.
Step-by-step explanation:
The equation for half life is of the form
A = A₀×.........................................................................(1)
Where
A = Final amount
A₀ = Initial amount
t = Time
h = Half life
For the equation T(d) = 100×2⁽⁻²⁾....................................(2)
We have by comparison with the equation for half life
2 ≡ and and the equation (2) can be written as
Percentage remaining after 2 half lives is
×100=100×
However if the half life of Technetium-99m is 6 hours then we have for one day
×100=100×
Therefore an expression that represents the number of days until only 10% remains is
×100=100× = 10 %
=
= ㏑ = ㏑()
= ×㏑ = ㏑()
= = 3.322
Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is
T((d) 10 %) =100×
The volume of a solid is the measure of how much space an object takes up. It is measured by the number of unit cubes it takes to fill up the solid. Counting the unit cubes in the solid, we have 30 unit cubes, so the volume is: 2 units⋅3 units⋅5 units = 30 cubic units. (Maybe this can help solve)