Answer:
-2x^2-6x-15
Step-by-step explanation:
B. First off , standard form of a 2nd degree equation is Ax^2 + Bx + C. So look at the coefficient of Ax^2 which is -2.
If positive, the parabola opens up and has a minimum.
If negative, the parabola opens down and has a maximum.
A. To find the vertex (in this case maximum),
Graph the equation -OR—
make a table. — OR—
Find the zeroes and find the middle x-value
-2x^2 - 4x + 6
-2(x^2 +2x - 3 = 0
-2 (x - 1) ( x + 3)=0
x - 1 = 0. x + 3 = 0
x = 1. x = -3. So halfway would be at (-1, __).
Sub in -1 into original equation -2x^2 -4x + 6 … -2(-1)^2 -4(-1) + 6 = -2 +4 +6 = 8
So the vertex is (-1,8)
Answer:

Step-by-step explanation:
we know that
In this problem we have a exponential function of the form

where
a is the initial value or y-intercept
b is the base of the exponential function
r is the rate in decimal form
b=(1+r)
In this problem we have
x ----> the number of days
y ----> the number of shoppers
a=120
r=10%=10/100=0.10
b=1+0.10=1.10
substitute the values

First day

Second day
For x=1 day
substitute the value of x in the equation and solve for y

Third day
For x=2 days

Fourth day
For x=3 days

Fifth day
For x=4 days

Sixth day
For x=5 days

Seventh day
For x=6 days

Adds the numbers

You start from 0. Since Barton saves $20 each week, you have to move 20. So, from 0 you will go to 20, then 40, then 60 and the pattern goes on. At the same time you go right in a diagonal line. I attached a picture but I'm not sure you will understand it well.
Answer:
2 cm
Step-by-step explanation:
The red triangle has legs measuring 1.2 cm and 1.6 cm.
You need x, the length of the hypotenuse.
Use the Pythagorean theorem.
(1.2 cm)² + (1.6 cm)² = x²
4 cm² = x²
x = 2 cm
Answer: 2 cm