What is the perimeter of 2x + 5 + 6x -1

20) Jermaine's goal is to eat 25 grams of protein each day. If Jermair meets his goal, how many grams of protein will he have ea

Westkost [7]

Answer:750 grams

Step-by-step explanation:

25*30=250 grams after 30 days

3 0

3 years ago

What is the domain of

Vsevolod [243]

The domain of what??

8 0

3 years ago

Read 2 more answers

House of Mohammed sells packaged lunches, where their finance department has established a

blagie [28]

The revenue function is a quadratic equation and the graph of the function

has the shape of a parabola that is concave downwards.

The correct responses are;

(a) R = -x² + 82·x

(b) $1,645

(c) The graph of R has a maximum because the leading coefficient of the quadratic function for R is negative.

(d) R = -1·(x - 41)² + 1,681

(e) 41

(f) $1,681

Reasons:

The given function that gives the weekly revenue is; R = x·(82 - x)

Where;

R = The revenue in dollars

x = The number of lunches

(a) The revenue can be written in the form R = a·x² + b·x + c by expansion of the given function as follows;

R = x·(82 - x) = 82·x - x²

Which gives;

R = -x² + 82·x

Where, the constant term, c = 0

(b) When 35 launches are sold, we have;

x = 35

Which by plugging in the value of x = 35, gives;

R = 35 × (82 - 35) = 1,645

The revenue when 35 lunches are sold, R = $1,645

(c) The given function for R is R = x·(82 - x) = -x² + 82·x

Given that the leading coefficient is negative, the shape of graph of the

function R is concave downward, and therefore, the graph has only a

maximum point.

(d) The form a·(x - h)² + k is the vertex form of quadratic equation, where;

(h, k) = The vertex of the equation

a = The leading coefficient

The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;

R = x·(82 - x) = -x² + 82·x

At the vertex, of the equation; f(x) = a·x² + b·x + c, we have;

$\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}$

Therefore, for the revenue function, the x-value of the vertex, is; $\displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}$

The revenue at the vertex is; $R_{max}$ = 41×(82 - 41) = 1,681

Which gives;

(h, k) = (41, 1,681)

a = -1 (The coefficient of x² in -x² + 82·x)

The revenue equation in the form, a·(x - h)² + k is; R = -1·(x - 41)² + 1,681

(e) The number of lunches that must be sold to achieve the maximum revenue is given by the x-value at the vertex, which is; x = 41

Therefore;

The number of lunches that must be sold for the maximum revenue to be achieved is 41 lunches

(f) The maximum revenue is given by the revenue at the vertex point where x = 41, which is; R = $1,681

The maximum revenue of the company is $1,681

Learn more about the quadratic function here:

brainly.com/question/2814100

6 0

3 years ago

A 1-ounce serving of cream cheese contains 7.6 grams of saturated fat. How much saturated fat is in 4 ounces of cream cheese?

KonstantinChe [14]

7.6 grams of saturated fat times 4 Ounces
is 7.6x4, or 30.4

4 0

3 years ago

this value of y is a of t(y). because is for all values of y, it follows that the value of y found in the previous step corres

Radda [10]

For f(t) = 3 sin(t), the minimum is -3, the maximum is 3.

For additional information:

The period T of the function y=3sin(4t) is;

The period of y = 3 sin (4t) is (2pi) / 4 = pi / 2

The sine function with amplitude A = 0.75 and period T = 10, is

y = 0.75 sin( (2pi / 10) x )

= 0.75 sin( (pi/5) t)

y(4) = 0.75 sin( (pi/5) (4) )

= 0.75 sin ( (4/5) pi ) = .4408

Drawing the sine and cosine function on the same plot shows

that they are identical except for a horizontal shift.

The cosine

function leads the sine function by a shift of (2pi/4) = pi/2.

For the last part, y(4) = 0.75 cos( (2pi/10) (4) ) = - 0.6067

To learn more

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5 0

2 years ago