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:


Answer:
$300
Step-by-step explanation:
Given that:
Derek bought a new car for $32,000;
The original amount of purchase = $32,000
Down payment = $17,000
Remaining amount = Original amount of purchase - Down payment
= $(32000 -17000)
= $ 15,000
Also;
rate of interest per month is 2%
and the Derek is unable to pay his first monthly payment
thus the interest amount is calculated on principal amount
so for the first month interest is calculated on total principal amount
The month interest payment is then calculated as :
= 15,000 × 2%
= 15,000 × 0.02
= $300
Answer:
measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained
Step-by-step explanation:
Given:
Mass of Sodium citrate = 5 g
Mass of Tartar Emetic = 0.015 g = 15 mg
Volume of Cherry syrup ad 120 mL = 120 mL
sensitivity = 4 mg
Error = 5%
Now,
The smallest weight that can be measured =
or
The smallest weight that can be measured =
= 80 mg
Now,
80 mg is dissolved in 120 mL of Cherry syrup according to prescription
( Thus,
1 mg is dissolved in
of Cherry syrup according to prescription )
so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup
= 
= 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained
I believe this is true....lets say the plane takes off and goes up 500 ft.....it circles, but then it has to come back down...land...so it comes down 500 ft...
500 - 500 = 0
Answer:

Step-by-step explanation:
Given: In ΔGHI,
=90°, IG = 6.8 feet, and HI = 2.6 feet
To find: 
Solution:
Trigonometry defines relationship between the sides and angles of the triangle.
For any angle
,
= side opposite to
/side adjacent to 
In ΔGHI,

Put 
So,

Therefore, 