Answer:
5)
8, 6, 4, 2= 67°
5,7,1,3= 113°
6) not sure about this one!
Total number of multiple-choice questions that Desiree has to answer in Aptitude test = 50
Points given for every correct Answer = +3
Points deducted for every Incorrect Answer = -1
For every question unanswered ,
points Deducted = -0.5
Total Points Obtained by Desiree after Answering all the questions = 110
Number of Answers that Desiree answered correctly = x questions
Number of Incorrect Answers = (50 - x) questions
Then,the Equation representing above situation
→ 3 × x + ( -1 ) × ( 50 - x ) = 110
⇒3x - 50 + x = 110 ----------- equation that represents the given situation
⇒ 4x - 50 = 110
Adding 50, on both sides
→ 4x - 50 + 50 = 110 + 50
⇒ 4x = 160
Dividing both sides by, 4 we get
x = 40
Number of correct answers given by Desiree= 40 questions
Number of Incorrect Answers = 50 - 40
= 10 Questions .
<h3>
Answer: g(x) = 5x+9, second choice</h3>
Explanation:
When we reflect over the vertical y axis, every negative x value becomes positive and vice versa. So we effectively replace x with -x like so
f(x) = -5x+9
f(-x) = -5(-x)+9 ... replace every x with -x
f(-x) = 5x+9
g(x) = 5x+9
A point like (1,4) on f(x) will reflect over to (-1,4) on g(x). If we apply this to every point on f(x), then all of f(x) will reflect to g(x).
s²=5 , so we look for the nearest squares, one less than 5 and the other greater.
First it would be perfect squares, which means 4=2² and 9=3²
4 < 5 < 9 so 2 <√5 < 3
now we'll do the same with the numbers with tenths, but to speed up we don't check them all. We do estimation for the square root knowing that it must be between 2 and 3
5 is close to 4 then 9, so I estimate 2.3 for its square root
(2.3)² = 5.29 - it is close but more then 5 so I look for less number then 2.3
(2.2)² = 4.84 - it is also close and less then 5 so:
4.84 < 5 < 5.29 therefore 2.2 < √5 < 2.3 and:
5 - 4.84 = 0.16 ; 5.29 - 5 = 0.29
0.16 < 0.29 means the √5 is closer to 2.2 then 2.3
So <u>the √5 rounded to the nearest tenth is 2.2</u>
Of course is much easier if you can use the calculator. Then you have:
√5 = 2.2<u>3</u>60679... ≈ 2.2 {because 3<5}
:)
