$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{-8}x\stackrel{\stackrel{c}{\downarrow }}{+9} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{-8}{2(2)}~~,~~9-\cfrac{(-8)^2}{4(2)} \right)\implies \left( \cfrac{8}{4}~~,~~9-\cfrac{64}{8} \right) \\\\\\ (2~~,~~9-8)\implies (2~~,~~1)$

5 0

3 years ago

Translate the following statement to an inequality. A number is at most seven. x > 7 x < 7 x ≥ 7 x ≤ 7

damaskus [11]

The required inequality is: x≤7

Step-by-step explanation:

The words have to be considered and observed properly to write an inequality.

At most means, that the value cannot exceed 7.

So,

Let x be a number

Then

A number is at most 7 will be written as:

$x\leq 7$

as the value of x cannot exceed 7.

The required inequality is: x≤7

Keywords: Inequality, Variables

Learn more about inequalities at:

#LearnwithBrainly

3 0

4 years ago

A taxi company charges $2.25 per ride plus $0.30 per mile. Enter a linear model represents the cost, C, as a function of d, the

Anna007 [38]

Answer:

C(d) = d(2.25) + m(0.3)

Step-by-step explanation:

A taxi company charges $2.25 per ride plus $0.30 per mile.

Let d represent number of rides..

Let m represent number of Miles...

Then let C represent the total cost for each ride at a specific number of Miles.

The linear model representing the cost as a function of d the total ride

C(d) = d(2.25) + m(0.3)

The values stand independently because the customer can choose a different right and a different mile.

7 0

3 years ago