Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.

Mathematics

1 answer:

Ksivusya [100]3 years ago

6 0

F(x)= (x+4) ^{2} -13 is the answer

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There were three parts to Rita's race. She ran the first part, which was 4/9

IrinaVladis [17]

Answer:

300 meters per minute

Step-by-step explanation:

Step 1

Determine the fraction of the total distance for each part of the race.

Given:

1st part of race = 4/9 of total distance

2nd part of race = 2/5 of remaining distance

Step 2

Determine the distance of the third part of the race.

Given:

time = 15 minutes

speed = 300 meters per minute

Step 3

If the third part of the race (which is 1/3 of the total distance) is 4500m, then the distance of the whole race is:

Step 4

Determine the distance of the 1st part of the race:

Step 5

Determine the speed of the 1st part of the race:

Given:

time = 20 minutes

distance = 6000 m

3 0

1 year ago

The cost in dollars of producing x vehicles for a company is given by C(x)=1200x+5500

GarryVolchara [31]

The rate of change represents the variable production cost rate. The production cost is increased in 1200 units per each additional manufactured car.

<h3>Interpretation of a linear function</h3>

Let be $C$ and $x$ the production cost and the number of vehicles produced, it there is a linear relationship between the two variables, then we have the following formula:

$C(x) = \dot r \cdot x + C_{o}$ (1)

Where:

$C_{o}$ - Fixed production costs.
$\dot r$ - Variable production cost rate.

In a nutshell, the rate of change represents the variable production cost rate. The production cost is increased in 1200 units per each additional manufactured car. $\blacksquare$