Answer:


Step-by-step explanation:
To find the zeros of the quadratic function f(x)=6x^2 + 12x – 7 we need to factorize the polynomial.
To do so, we need to use the quadratic formula, which states that the solution to any equation of the form ax^2 + bx + c = 0 is:

So, the first thing we're going to do is divide the whole function by 6:
6x^2 + 12x – 7 = 0 -> x^2 + 2x - 7/6
This step is optional, but it makes things quite easier.
Then we using the quadratic formula, where:
a=1, b= 2, c = -7/6.
Then:



So the zeros are:


We know that
step 1
find the volume of a cylinder
volume of a cylinder=pi*r²*h
where
h=13 cm
r=1 cm
volume of a cylinder=pi*1²*13----> 13*pi cm³
step 2
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
where
r=1 cm
h=3 cm
volume of a cone=(1/3)*pi*1²*3-----> pi cm³
step 3
find the volume of the laser pointer
volume of the laser pointer=volume of a cylinder+volume of a cone
volume of the laser pointer=13*pi+pi-----> 14*pi cm³
the answer is
volume of the laser pointer is 14*pi cm³
Given a circle described by the equation:

and a function g(x) given by the table

The function g(x) describes a straight line with the equation:

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0
Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
Answer:
Option C) The average contents of all bottles of juice in the population, which is 473 mL
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 473 mL
Sample mean,
= 472 mL
Sample size, n = 30
Sample standard deviation, σ = 0.2
First, we design the null and the alternate hypothesis
Representation of 
is the population parameter that represents the population mean.
Thus, for the given situation
represents:
Option C) The average contents of all bottles of juice in the population, which is 473 mL
Answer:
Probability that randomly selected 4 persons all have insurance is = 0.1897
Step-by-step explanation:
Given that the probability of having an insurance equals 66%=0.66
Thus
Probability that person A has insurance = 0.66
Probability that person B has insurance = 0.66
Probability that person C has insurance = 0.66
Probability that person D has insurance = 0.66
Probability that randomly selected 4 persons all have insurance is
