Starting from a parent function 
, if you add a constant to the whole function, i.e. you perform the transformation
you shift the graph of the parent function by 
units, upwards if is positive, downwards otherwise.
In this case, so, you're shifting, the graph of 
5 units upwards. Since the parent function passes through the point 
, because 
, the shifted graph mantains the same 
coordinate, but the 
coordinate is increased by 5, because of the 5 units upwards shift.
Answer: 2.25x
Scientific notation is used in science because the number can be vary from so much that using decimal is making it hard. The number expressed in
form. Both number in the question is already in scientific notation. Then to multiply the number and keep it at scienfitic notation the calculation should be:
2.5 x
x 9 x
= 22.5 x
= 2.25x
Answer:
The answer to your question is: Ф = 43.95°
Step-by-step explanation:
Data
length = 18 ft
distance bottom to is 13 ft
x = angle = ?
Formula
cos Ф = opposite side / hypotenuse
Process
cos Ф = 13 ft / 18 ft substitution
cos Ф = 0.72 simplify
Ф = cos⁻¹ (0.72)
Ф = 43.95° result
Answer:
Step-by-step explanation:
The nth term of an arithmetic sequence is given by the formula,
We were given that the 9th term is 
.
The sum of the first n-terms is given by the formula,
To find 
, we substitute 
, 
and 
.
The correct answer is D
Answer:
60 ; - 40 ; 22 ; - 11
Step-by-step explanation:
Given that:
Number of questions = 20
Rules :
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a)
Maximum score : answering all questions correctly :
(3 points * 20 questions)
= 3 * 20
= 60 points
b)
Minimum score is obtainable by answering all questions incorrectly ;
(-2 points * 20)
= - 40 points
c)
10 correct answers = (3 * 10) = 30 points
(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points
Net total = 30 + (-8) = 30 - 8 = 22 points
d) Another student answers 18 questions,
5 are correct. How many points does she score?
5 correct answers = (5 * 3) = 15 points
(18 - 5) incorrect answers = (13 * - 2) = - 26 points
Net total = 15 + (-26) = - 11 points
