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Anarel [89]
3 years ago
9

The figure shown has a parallelogram on top and a rectangle below it:

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0
Hey!
<span>D. 1,291.76 square inches.
Hope this helps!
~Nadia~
</span>
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Let \[f(x) = \frac{3x - 7}{x + 1}.\]find the range of $f$. give your answer as an interval.
ra1l [238]
Hello :
let : y=  \frac{3x-7}{x+1}
calculate : x ......x <span>≠ -1 
</span>y(x+1) = 3x-7
yx+y =3x-7
yx-3x = -y-7
x(y-3) = -7-y
x =  \frac{y+7}{3-y}
the inverse function is : g(x) =  \frac{x+7}{3-x}
domain of : g  is the range of : f
as an interval : ]-∞: 3 <span>[</span>U ]3;+∞[

7 0
3 years ago
Which of these are measures of central tendency that can be found for this list of 11th-grade students' heights?
FinnZ [79.3K]
Mean A. is the answer
5 0
3 years ago
Read 2 more answers
The solution system to 3y-2x=-9 and y=-2x+5
Alecsey [184]

Answer:

\boxed{(3,-1)}

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well to find the solution the the given system,

3y - 2x = -9

y = -2x + 5

So to find x lets plug in -2x + 5 for y in 3y - 2x = -9.

3(-2x + 5) - 2x = -9

Distribute

-6x + 15 - 2x = -9

-8x + 15 = -9

-15 to both sides

-8x = -24

Divide -8 to both sides

<u>x = 3</u>

<u />

Now that we have x which is 3, we can plug in 3 for x in y = -2x + 5.

y = -2(3) + 5

y = -6 + 5

<u>y = -1</u>

<u><em /></u>

So the solution is (3,-1).

<em />

<em>Hope this helps :)</em>

4 0
3 years ago
Ben works for software company in Cleveland. To train new employees, Ben travels to their two other locations, Buffalo and Phila
Andru [333]

Answer:

Explanation:we will solve this question with help of linear programming.

Now,  let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y

And s.t.r. 2x+3y≤105, where x≥5, y≥15.

since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.

But, 0≥5 and 0≥15 are false, so their area will not cover the origin.

Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)

Z at A- 180×5+300×31.667=10,400.1

at B-180×5+300×15=1350( which is minimum.)

at C- 180×30+300×15=5,850

Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.




3 0
3 years ago
A measuring wheel is used to calculate the length of a path. The diameter of the wheel is 8 inches. If the wheel rotates 15 time
Oksi-84 [34.3K]
To fint the length first one must find circumference to do that we use the formula D*Pi (diameter times Pi. Diameter = 8 Pi is the constant of 3.1415
so. 8*3.1415 = appox 25.1327. cow that we have  circumference we should multiply by the amount of times the wheel rotates (15)
so. 15*251327 = appox 376.9911in now convert to feet. 12 in = 1 foot so divide by 12
so 376.9911 / 12 = about 31.4
round down to 31 feet
8 0
3 years ago
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