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maks197457 [2]
2 years ago
13

Rearrange (∛7ab²)³ to have a rational exponent.

Mathematics
1 answer:
Butoxors [25]2 years ago
3 0
I think 7a^3b^6, but im not sure so im sorry if it is wrong
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Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed
garik1379 [7]
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards. 
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards. 
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x. 
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
 => Area, A 
= 2x (y1 - y2) 
= 2x (18 - x^2 - 2x^2 + 9) 
= 2x (27 - 3x^2) 
= 54x - 6x^3 
For area to be maximum, dA/dx = 0 and d²A/dx² < 0 
=> 54 - 18x^2 = 0 
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants) 

d²A/dx² = - 36x < 0 for x = √3 
=> maximum area 
= 54(√3) - 6(√3)^3 
= 54√3 - 18√3 
= 36√3. 
4 0
3 years ago
Only 5 and 6. Please help me need it for now
balandron [24]

Answer:

5)1075000000

6)333.333333333

Step-by-step explanation:

5)4.3*10^3=4300

2.5*10^5=250000

6)3*10^6=3000000

9*10^3=9000

7 0
2 years ago
Read 2 more answers
Explain how to use mental math to find 620-278?
xz_007 [3.2K]
Party do 6-2,2-7,0-8
4 0
3 years ago
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Jason has $90 to spend. He wants to purchase a bag for $30, one eraser for $10, and three pencils. Each of the pencils costs the
snow_tiger [21]
90 = 30+10+3x

This equation shows that all the prices of the the bag, eraser, and pencils equals $90. So now all we have to do to find the price of a pencil is solve the equation.

First add the 30 and 10 together.

90 = 40+3x

Then subtract 40 from each side

50 = 3x

Lastly divide each side by 3

x = 16.67

The price per pencil is $16.67

Hope this helps!
4 0
3 years ago
Read 2 more answers
What would the monthly payment be on an 8,600 car loan at 8.85% interest for a five year term
Ne4ueva [31]

Answer:

the monthly payment would be $86.00

Step-by-step explanation:

3 0
3 years ago
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