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givi
1 month ago
13

PLEASE HURRYY I AM BEGGING FOR HELP IVE BEEN STUCK FOR AN HOUR

Mathematics
1 answer:
zzz [12.3K]1 month ago
3 0

Part A:

Please refer to the attached image to view the graph illustrating the inequalities.

There are two distinct lines shown, one with a steeper negative slope than the other. The shaded region in between indicates the solution set.

The green line corresponds to 2x+y≤8, while the blue line represents x+y≥4

Part B:

To determine if (8, 10) is included, substitute x = 8 and y = 10 into both inequalities. If it fails to satisfy either inequality, then it won't be part of the solution area.

2(8) + 10 ≤ 8

16 + 10 ≤ 8

26 ≤ 8... 26 is NOT less than or equal to 8

Hence, (8, 10) cannot be a solution because the inequality does not hold.

Part C:

I will select a random point from the graph, such as (2, 3). For your answer, any point within the shaded region where both x and y are positive would suffice.

The point (2, 3) indicates that Sarah can purchase 2 cupcakes and 3 pieces of fudge, ensuring that she acquires at least 4 pastries for her siblings while adhering to her 8 dollar budget.

Please let me know if you need any further clarification. Happy studying!

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Inessa [12570]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The variable x lies within the interval of all positive real numbers less than 5 cm.

Detailed solution:

Problem statement:

Determine the volume of the open-topped box as a function of the side length x (in centimeters) of the square cutouts.

Refer to the provided diagram for clarity.

Define:

x → length in centimeters of each square cutout side

The volume of the box with open top can be written as:

V=LWH

Given this, we have:

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

By substitution:

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Determine the domain of x:

Because:

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

Therefore:

Domain is the interval (0,5)

That means all real numbers strictly greater than zero and less than 5 cm are valid for x.

Hence, the volume V as a function of x is:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 months ago
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
Zina [12379]

Answer:

Therefore, the data is best represented by:

y=26.9x-1.3

Step-by-step explanation:

We have a table indicating the estimated lines of code produced by computer programmers per hour when x individuals are engaged.

The question asks which model accurately reflects this data.

To determine this, we will substitute the values of x into each function to see which one accurately produces the corresponding y (f(x)) values provided in the table:

We are presented with four functions, which are:

A)

y = 47(1.191)^x

B)

y=34\times (1.204)^x

C)

y=26.9x-1.3

D)

y=27x-4

We'll create a table displaying these values at various x levels.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Thus, the function that suitably represents the data is:

Option C.

y=26.9x-1.3

6 0
3 months ago
Read 2 more answers
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