In order to convert f(x) = 3x² – 24x + 10 which is in quadratic form to vertex form which will look like this y = a(x-h)² + k. You will have to use the process of completing the square. First we will isolate the x² and x terms.
y = 3(x² - 8x) + 10
We take -8 and divide by 2 to get -4 and finally square it which gives us 16. We add these to make it a perfect square and subtract 16 so that we do not change it. We will get:
y = 3(x² - 8x + 16 - 16) + 10
y = 3((x - 4)² ) - 48 + 10
y = 3(x - 4)² - 38
I hope this helps, Regards.
{0,2 3,1 5,2 8,4
Write your answer as an integer or as a decimal rounded to the nearest tenth.
TV =
Answer:
The answer to your question is TV = 7.8
Step-by-step explanation:
Data
hypotenuse = ?
Opposite side = 4
angle = 31°
To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.
sin
Solve for hypotenuse
hypotenuse =
Simplification
hypotenuse =
hypotenuse =
Result
hypotenuse = 7.76
Answer:
96 laps in 12 minutes
144 laps in 18 minutes
Step-by-step explanation:
We can use the unit rate, which is 8 laps in 1 minute
8 laps/ 1 minute * 12 minutes = 96 laps
8 laps/ 1 minute * 18 minutes = 144 laps
We can use also use ratios to solve the problem.
5 minutes 12 minutes
-------------------- = --------------------
40 laps x laps
Using cross products
5*x = 40 * 12
Divide each side by 5.
x = 40/4 * 12
x = 96 laps
5 minutes 18 minutes
-------------------- = --------------------
40 laps x laps
Using cross products
5*x = 40 * 18
x = 40/5 * 18
x = 144
Answer: 96 laps
Step-by-step explanation:
We are given a unit rate of 8 laps per one minute. Using this unit rate, we can multiply the given minutes by the laps per minute.
This gives us an answer of 96 laps.
The value of the expression will be 16. Then the one way that you could read the expression by sixteen.
When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ 0.50 x (24 + 8)
Simplify the expression, then the value of the expression will be
⇒ 0.50 x (24 + 8)
Apply the distribution property, then the expression is written as,
⇒ 0.50 x 24 + 0.50 x 8
Apply the multiplication property, then the expression can be written as,
⇒ 12 + 4
Apply the addition property, then the expression will be given as,
⇒ 16
The value of the expression will be 16. Then the one way that you could read the expression by sixteen.
More about the value of the expression link is given below.
#SPJ2
Answer:
64
hope it helps you..
Step-by-step explanation:
...