The graph of the function is line A
The apple is cut into 10 pieces so each piece is 1/10 of the apple. 1/10=.1; .8=8/10 so 8 pieces are eaten. 2 pieces are left which is 2/10 of the apple which simplifies to 1/5 because 2 and 10 are both divisible by 2. 2 divided by itself is 1 and 10 divided by 2 is 5. So the amount of the apple left in simplest form of a fraction is 1/5.
Answer:
The first statement is true.
Step-by-step explanation:
The function is f(x) = - (x + 6)(x + 2)
⇒ f(x) = - x² - 8x - 12
Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.
Now, f(x) = - x² - 8x - 12
⇒ f'(x) = -2x - 8 {Differentiating with respect to x}
Now, f'(a) = -2a - 8 {Here a can be any real value}
And, the condition for increasing function at x = a is
- 2a - 8 > 0
⇒ - 2a > 8
⇒ a < - 4
Therefore, the first statement is true i.e. the function is increasing for all real values of x where x < – 4. (Answer)
<span>a. 17th percentile
First, take the data and sort it in increasing order, getting: 98 101 117 121 122 127 130 137 138 143 145 152.
The score of 117 is greater than 2 of the scores out of a total of 12 scores. So the percentile rank is 2/12 = 0.1666667 = 16.66667, or the 17th percentile. Therefore the answer is "a. 17th percentile"</span>
Answer:
x= 24
/7
Step-by-step explanation:
2
/3x−2= 2/7
add 2 both sides
multiply by both sides by 3/2.