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fredd [130]
3 years ago
8

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.

Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Answer:

The maximum length (x) of the rectangular box

The minimum volume (y) of the rectangular box

The minimum height (8-x) of the rectangular box

Step-by-step explanation:

we have

y=3x(8-x)

This is the equation of a vertical parabola open downward

The vertex is a maximum

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The x-intercepts of the equation are

(0,0) and (8,0)

therefore

The greatest x-intercept is the point (8,0)

see the attached figure

Remember that x represent the length of the box

therefore

The greatest x-intercept of the graph of this polynomial equals to

The maximum length (x) of the rectangular box

The minimum volume (y) of the rectangular box

The minimum height (8-x) of the rectangular box

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Find the least common denominator (LCD) of 7/9 and 5/6
AnnZ [28]

Answer: 18

Step-by-step explanation:

        The least common denominator of \frac{7}{9} and \frac{5}{6} is going to be a multiple of 9 and 6. Let us list them out:

9: 9, <u>18</u>, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, <u>18</u>, 24, 30, 36, 42, 28, 54, 60

        You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

8 0
2 years ago
6. What is the y-value to the solution of<br> y = 5x -4<br> y = 2x + 8?
Angelina_Jolie [31]

Answer:

y = 16, don't know if I'm 100% right but hope this helps.

Step-by-step explanation:

since they both equal Y they may be equal to each other

Then you would subtract 2x from both sides canceling it out on one side

2x + 8 = 5x - 4

-2x         -2x

This would make the equation 8 = 3x - 4

next you add the 4 from both sides

8  = 3x - 4

+4         +4

This will leave you with 12 = 3x

now you divide 3 from both sides and 12/3 = 4 makes X = 4

next you take (4) and plug it in to one of the equations

y = 2(4) + 8

y = 8 + 8

y = 16

8 0
3 years ago
A line's y-intercept is 3, and its slope is 5. What is its equation in slope-intercept form?
Paraphin [41]
Format: y = mx + b
m = slope, b = y intercept
Plug into the format
Solution: y = 5x + 3
8 0
3 years ago
X+2x+7=3x-7<br> What is the answer
Tasya [4]

Answer: No solution

Step-by-step explanation:

x + 2x +7 = 3x - 7

3x + 7 = 3x - 7

3x + 7 - 7= 3x - 7 - 7

3x = 3x - 14

3x - 3x = 3x - 14 - 3x

0 = -14

The sides are not equal so there is no soulution.

7 0
3 years ago
Have you ever worked with variables? Algebra is a branch of mathematics that specifically deals with the idea of using variables
irina [24]
Hi Braino
Algebra is an easy lesson.It gives egs such as t4 means t times 4.
Also
d=12+542443323
Its used as a blank answer to give.
Variables are kinda hard to learn
Need support?Go to KhanAcademy.com
6 0
3 years ago
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