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3 years ago

14

Each morning, a cafe sells at most 20 freshly squeezed orange juices. Write an inequality that represents this situation. Let x

represent the number of freshly squeezed orange juices sold in a morning.

1 answer:

prisoha [69]3 years ago

8 0

I’m not sure but I’ll also go with the guy or girl said

You might be interested in

Mary242 made for 11 hours of work.

MAVERICK [17]

We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.

<h3>At the same rate, how many hours would she have to work to make 374?</h3>

We know that Mary makes 242 units of something in 11 hours of work, then her rate of work is:

R = (242 units)/(11 hours) = 22 units per hour.

Now, if she wants to make 374 units, then she needs to work for a time T, such that:

(22 units per hour)*T = 374 units.

Solving that linear equation for T, we get:

T = (374 units)/(22 units per hour) = 17 hours

We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.

If you want to learn more about linear equations:

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5 0

1 year ago

angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for th

Rina8888 [55]

Given that Angelo spends the same amount everyday from the amount in

the lunch card, the function of the amount remaining is a linear function.

The constant rate of change of the function is; <u>-5.25</u>

The two ordered pair used to find the constant rate of change are; <u>(1, 44.75) and (2, 39.5)</u>

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

$\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right]$

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

$Slope \ or \ constant \ rate \ of \ change = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}$

The two ordered pair that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

$Constant \ rate \ of \ change\ (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}$

The constant rate of change for the function that gives the amount remaining in the lunch card is; <u>-5.25</u>

Learn more about the constant rate of change of a function here:

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3 0

2 years ago

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

<em>Find the equation of the first inequality</em>

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

$y\geq x-2$

step 2

<em>Find the equation of the second inequality</em>

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

Read 2 more answers

4x + 11y = 7<br> 4x + 3y = -1

Serhud [2]

Answer:

x= - 1

y= 1

Step-by-step explanation:

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5 0

3 years ago

Sketch the graph of y = negative 2 x squared + x + 1 using your graphing calculator. What are the x-intercepts of this graph? a.

lions [1.4K]

The x-intercept is (1, 0) and (-0.5, 0).

The correct option is (a)

<h3>What is intercept?</h3>

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given function is:

f(x)= $-2x^{2}+x+1$

So, The graph of this equation is attaches below.

The x- intercepts of this graph

$\mathrm{X\:Intercepts}:\:\left(-\frac{1}{2},\:0\right),\:\left(1,\:0\right)$

or

X intercepts: (1, 0) and (-0.5, 0)

Hence, the x-intercept is (1, 0) and (-0.5, 0).

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4 0

2 years ago