A constant function is a function whose output value f(x) is the same for every input value x, i.e. for all x, f(x)=c.
This means that
Answer: correct choice is A.
Answer: 24 mi
Step-by-step explanation:
Let the points A, B, C and S represent Alba, Blare, Cray and Service station respectively,
Then According to the question,
We have to find out the line segment CS = x = ?
Now, In the triangles ACB and CSB,
( Right angles )
( Reflexive angles )
Thus, by AA similarity postulate,
By the property of similar triangles,
Thus, the length of the new road = 24 miles
Answer: x = 7 (choice C)
"sum of 1 and 3 times a number" means we have the expression 1+3*x for some unknown number x. This is set equal to 22, and we isolate x. The idea is to follow the order of operations PEMDAS in reverse. So start with subtraction and try to undo it. If it's not present, then undo addition, and so on, until x is all by itself on one side.
1+3x = 22
3x+1 = 22
3x+1-1 = 22-1 ... see note 1 below
3x = 21
3x/3 = 21/3 .... see note 2 below
x = 7
note1: Undoing addition. We undo the "+1" by subtracting 1 from both sides
note2: Undoing multiplication. 3x means "3 times x". The inverse of this is division which means we divide both sides by 3
A)
Replace the letters in the given equation with the corresponding values given in the problem:
A = 10,000 x 2.718^(0.05 x 2)
A = 11,051.59 , rounded to nearest dollar = $11,052
B)20,000 = 10000 x 2.718^(0.05 x t)
Divide both sides by 10,000:
2 = 2.718^(0.05 x t)
Apply exponent rules:
0.05tln(2.718) = 2
Solve for t:
t = ln(2) / 0.05ln(2.718)
t = 13.86 years, rounded to nearest year = 14 years.
, then
, then
