Answer: fourth option
Explanation:1) the pair x = 3 f(x) = 0, leads you to probe this:
f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0
=> A [4^2] = - C
A[16] = - C
if A = 1/4
16 / 4 = 4 => C = - 4
That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4
2) Now you verify the images for that function for all the x-values of the table:
x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check
x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check
x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.
Therefore, you have proved that the answer is the fourth option.
The width of the TV is 27.9 inches
Step-by-step explanation:
Given,
Diagonal of TV = 32 inch
Height of TV = 15.7 inch
The diagonal makes the TV into a right triangle,
Therefore,
Diagonal = hypotenuse = c = 32 inch
Height = perpendicular = a = 15.7 inch
Width = base = b
Using pythagoras theorem

Taking square root on both sides

Rounding off to nearest tenth
b = 27.9 inches
The width of the TV is 27.9 inches
Keywords: Pythagoras theorem, square root
Learn more about square root at:
#LearnwithBrainly
Answer:
605 boys
Step-by-step explanation:
If the ratio of boys to girls is 5:7
and there are 847 girls
we can plug this value into the ratio by doing something like:
5:7
= 5/7
= x/847
Because the ratio has to be the same, we can substitute x for the number of boys and solve by the cross method or whatever you guys call it.
5 x
--- x ------
7 847
The x in the middle is just to show the direction you are multiplying.
the 5 is multiplied by the 847 and the 7 is multiplied by x.
847 * 5 = 4,235
4,235 divided by 7 is 605
605 is your answer.
The cross method can be used in most situations.
* is used to represent multiplication btw
To find the answer, use
, and then use the equation
To find it's half life.
Answer:
what's your question though?