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Katarina [22]
3 years ago
14

Helppppppppppppppppppppp

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

  see below

Step-by-step explanation:

Use the distributive property:

  (y^2 +3y +7)(8y^2 +y +1)

  = y^2(8y^2 +y +1) +3y(8y^2 +y +1) +7(8y^2 +y +1)

  = 8y^4 +y^3 +y^2 + 24y^3 +3y^2 +3y + 56y^2 +7y +7

  = 8y^4 +y^3(1 +24) +y^2(1 +3 +56) +y(3 +7) +7

  = 8y^4 +25y^3 +60y^2 +10y +7 . . . . . matches the last choice

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Find the slop-intercept form of the line whose slope is 5 and that passes through the point (-6,7).
Korvikt [17]
You know that the slope, m=5. You have a point (6,7) as (x,y). The slope-intercept form is y=mx+b. Plug in the number for x,y, and m, and then you would be able to find b using the slope-intercept form. Then rewrite the equation as y=5x+b, which you just found b.
(Here's the first step. 7=5(-6)+b). Find b, and then write the slope-intercept form as y=5x+b. 
3 0
3 years ago
At what point does the curve have maximum curvature? y = 9 ln(x) (x, y) =
Andrews [41]

y = 9ln(x) 
<span>y' = 9x^-1 =9/x</span>
y'' = -9x^-2 =-9/x^2

curvature k = |y''| / (1 + (y')^2)^(3/2) 

<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2) 
= (9/x^2) / (1 + 81/x^2)^(3/2) 
= (9/x^2) / [(1/x^3) (x^2 + 81)^(3/2)] 
= 9x(x^2 + 81)^(-3/2). 

To maximize the curvature, </span>

we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2) 
...= 9(x^2 + 81)^(-5/2) [(x^2 + 81) - 3x^2] 
...= 9(81 - 2x^2)/(x^2 + 81)^(5/2) 

Setting k' = 0 yields x = ±9/√2. 

Since k' < 0 for x < -9/√2 and k' > 0 for x > -9/√2 (and less than 9/√2), 
we have a minimum at x = -9/√2. 

Since k' > 0 for x < 9/√2 (and greater than 9/√2) and k' < 0 for x > 9/√2, 
we have a maximum at x = 9/√2. </span>

x=9/√2=6.36

<span>y=9 ln(x)=9ln(6.36)=16.66</span>  

the answer is
(x,y)=(6.36,16.66)
7 0
3 years ago
What is 6X + 9 + 2x ​
alukav5142 [94]

Answer:

8x + 9

Step-by-step explanation:

Combine 6x and 2x since they are "like variables" meaning they both contain an x, and write in standard form ax + bx + c

6 0
3 years ago
Hurry Please
sleet_krkn [62]
It would be true no explanation needed
4 0
3 years ago
Read 2 more answers
V+8w=4v,for v<br><br> -m+5n=-2, for n
jok3333 [9.3K]

Answer:

  • v = 8w/3,
  • n = (m - 2)/5.

---------------------------

<h3>Given equations</h3>
  • v + 8w = 4v and - m + 5n = - 2

<h3>Solve the first equation for v</h3>
  • v + 8w = 4v
  • 4v - v = 8w
  • 3v = 8w
  • v = 8w/3

<h3>Solve the second equation for n</h3>
  • - m + 5n = - 2
  • 5n = m - 2
  • n = (m - 2)/5
6 0
1 year ago
Read 2 more answers
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