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Gwar [14]
3 years ago
13

A rectangular box has length x and width 3. The volume of the box is given by y = 3x(8 – x). The greatest x-intercept of the gra

ph of this polynomial equals which of the following?
Choose all that apply.
The maximum possible width.
The maximum possible length.
The minimum possible height.
The maximum possible height.
The maximum possible volume.
 
(Can you also please tell me how you did it? I'm trying to learn. You don't have to though)

Mathematics
1 answer:
CaHeK987 [17]3 years ago
7 0

Consider rectangular box with

  • length x units (x≥0);
  • width 3 units;
  • height (8-x) units (8-x≥0, then x≤8).

The volume of the rectangular box can be calculated as

V_{box}=\text{length}\cdot \text{width}\cdot \text{height}.

In your case,  

V_{box}=3\cdot x\cdot (8-x).

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).

From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.

Then the volume will be V=0 (minimal).

Answer: correct choices are B (the maximum possible length), C (the minimum possible height)

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If your giving a customer a 10% off discount on a sale of 10.92,what would the discount be?
Lelechka [254]
The discount would be - $1.09 
So the final price would be $9.83
5 0
3 years ago
Which situation could be represented by an exponential function select each correct answer
ANTONII [103]

Answer:

The first and third options are the examples of exponential functions.

Step-by-step explanation:

When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.

In the first option:  An event organizer finds each year's attendance for the past five years is about \frac{4}{5} of previous year's attendance.

So, here the total attendance is compounding every year by a factor \frac{4}{5} of previous year's attendance.

Again, in the third case: The total population is increasing by about 7.5% each year.

Hence, the population is compounded every year by 7.5% of the previous year's population.

Therefore, the first and third options are examples of exponential functions. (Answer)

3 0
2 years ago
Homework:Assignment 3 Question 20 Score: 0 of 1 point A vending machine dispenses coffee into ​-ounce cup. The amount of coffee
xxMikexx [17]

Answer:

19.92

Step-by-step explanation:

To overfill 5% of the time ;

The Zscore (value) to the left of (1 - 0.05) = 0.95 is 1.645

Using this Zscore value with the Zscore formula :

Zscore = (x - μ) / σ

σ = 0.05 ; x = 20 ounce

Substituting into the Zscore formula :

1.645 = (20 - μ) / 0.05

1.645*0.05 = 20 - μ

0.08225 = 20 - μ

μ = 20 - 0.08225

μ = 19.91775

μ = 19.92

8 0
3 years ago
PLEASE HELP ME, I HAVE NO IDEA! Find an equation for the line below.
irga5000 [103]

9514 1404 393

Answer:

  y -2 = -2/3(x +4)

Step-by-step explanation:

There are several different forms of the equation for a line. Each is useful in its own way. Here, the line crosses the y-axis at a point between integer values, so using that intercept point could be problematical. That suggests the "point-slope" form of the equation for a line would be a better choice.

That form is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

__

The two marked points are (-4, 2) and (5, -4). All we need is the slope.

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1) . . . . . . . . where the given points are (x1, y1) and (x2, y2)

  m = (-4 -2)/(5 -(-4)) = -6/9 = -2/3

Using the first point, the equation for the line can now be written as ...

  y -2 = -2/3(x -(-4))

  y -2 = -2/3(x +4)

8 0
2 years ago
What is the height of this triangle? Round your answer to the nearest tenth.
love history [14]

Answer:

5.7

Step-by-step explanation:

pythagorean theorem

A^2 + B^2 = C^2

sub in

A^2 + 7^2 = 9^2

simplify

A^2 + 49 = 81

solve

A^2 = 32

solve further

A = \sqrt{32

use calculator and get:

5.65685

round and get:

<u>5.7</u>

5 0
3 years ago
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