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exis [7]
2 years ago
6

Slope-Intercept Form -14x+y=7

Mathematics
1 answer:
Nikolay [14]2 years ago
6 0
Answer: y=14x+7
explanation:
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Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. If $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 +
vfiekz [6]

So

a be first term and d be common difference

  • a+a+2d+a+4d+a+6d+a+9d=17
  • 5a+21d=17--(1)

And

  • a+d+a+3d+a+5d+a+7d+a+9d=15
  • 5a+25d=15--(2)

Eq(1)-Eq(2)

  • -4d=-2
  • d=1/2

Put in second one

  • 5a+25d=15
  • a+5d=3
  • a+5/2=15
  • a=15-5/2
  • a=25/2
7 0
2 years ago
Which fraction does not belong with the other three explain 1/12 2/12 3/12 or 4/12
MakcuM [25]
1/12 does not belong with the other three fractions. 

2/12, 3/12, and 4/12 can all be simplified to 1/6, 1/4/, and 1/3. However, 1/12 can't be simplified.
6 0
3 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
nataly862011 [7]

Let (<em>x</em>, <em>y</em>, <em>z</em>) be a point on the plane in the first octant. The box formed by this point has volume <em>xyz</em>, and you want to maximize this subject to the equation of the plane.

Use the method of Lagrange multipliers: the Lagrangian is

<em>L</em>(<em>x</em>, <em>y</em>, <em>z</em>) = <em>xyz</em> - <em>λ</em> (<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6)

Find its critical points:

∂<em>L</em>/∂<em>x</em> = <em>yz</em> - <em>λ</em> = 0

∂<em>L</em>/∂<em>y</em> = <em>xz</em> - 2<em>λ</em> = 0

∂<em>L</em>/∂<em>z</em> = <em>xy</em> - 3<em>λ</em> = 0

∂<em>L</em>/∂<em>λ</em> = -(<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6) = 0

Solving the first three equations for <em>λ</em> gives

<em>λ</em> = <em>yz</em> = <em>xz</em>/2 = <em>xy</em>/3

Solve these equations for <em>y</em> and <em>z</em> :

• <em>yz</em> = <em>xz</em>/2   =>   <em>y</em> = <em>x</em>/2   =>   2<em>y</em> = <em>x</em>

• <em>yz</em> = <em>xy</em>/3   =>   <em>z</em> = <em>x</em>/3   =>   3<em>z</em> = <em>x</em>

Substitute these solutions into the last equation and solve for <em>x</em>, then again for <em>y</em> and <em>z</em> :

<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6 = 3<em>x</em> - 6 = 0   =>   3<em>x</em> = 6   =>   <em>x</em> = 2, <em>y</em> = 1, <em>z</em> = 2/3

At this critical point, the maximum volume is

<em>xyz</em> = 2*1*2/3 = 4/3

4 0
3 years ago
Solve for x, 3x^2 x x - 5=0
lora16 [44]

Answer:

,32−5=0

this is answerrr

5 0
3 years ago
Read 2 more answers
You sell a total of 17 pieces of disposable and washable face masks.what is the answer
Amanda [17]
I don’t understand you are asking
6 0
2 years ago
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