Answer:
Step-by-step explanation:
A
A will give you the roots (the x intercepts) just by reading the numbers and doing a small adjustment.
x + 1 = 0
x = - 1 So one of the roots is (-1,0)
x + 5= 0
x = - 5 The other root is (-5,0)
A is not the answer.
B
I have graphed B so that you can see that A is true. See below, Even so, B is in standard form and it is not the answer.
C
The answer is C. The vertex is at 2,27
x - 2 = 0
x = 2
The maximum value is located at 27 which is just read.
That point (2,27) is plotted on the graph.
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)
m = 
= 
= 4
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 4x + 3 ← equation of line
Answer: 90.82%
Step-by-step explanation:
Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .
Mean : 
Standard deviation: 
Let X be the random variable that represents the amount of soda in bottles.
Formula for z-score : 
Z-score for 16 oz: 
Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_
Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .
Answer
The answer is B
Step-by-step explanation:
Answer
6,000x
Explanation
To work out how many times greater something is compared to another, we have to divide the larger number by the smaller
To put it more simply, imagine you had 30 apples and I had 6. To work out how many times greater your apple collection was than mine, you would divide your 30 by my 6, and find that you had 5 times as many apples as me (30 ÷ 6 = 5).
The principle is the same here, how many more viruses (3 x 10⁹) are there compared to protozoa (5 x 10⁵)?
We do 3 x 10⁹ ÷ 5 x 10⁵
3 x 10⁹ = 3,000,000,000
5 x 10⁵ = 500,000
3,000,000,000 ÷ 500,000 = 6,000 times more
