Answer:
f(x + 1) = 3x² + 5x + 7
Step-by-step explanation:
To find f(x + 1), substitute x = x + 1 into f(x), that is
f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL
= 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3
= 3x² + 6x + 3 - x - 1 + 5 ← collect like terms
= 3x² + 5x + 7
Answer:
The fish is closer to the surface of the water because |+4| = 4 and |−3| = 3, and 3 < 4.
Step-by-step explanation:
The answer is .107 by working left to right

First, find the scale factor by dividing the first building's real-life height by its model height.

Now, we'll write an equation to find the model height of the second building.

Here is an equation where
represents the real-life height of a building,
represents the scale factor, and
represents the model height of the same building.
Fill in the information we already know.

Divide both sides by
.


So, the model height of the second building is
inches.
It is given in the question that
A city had population 67,255 on January 1,2000, and its population has been increasing by 2935 people each year since then.
Here initial population , b, is 67255, and the rate of increase of population is 2935 people each year. And that's the value of the slope .
Using slope intercept form, which is

And substituting the values of m and b, we will get
