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Yuliya22 [10]
3 years ago
5

What is the sum of 5(−3.4k−7) (3k 21) =

Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0
I am assuming that the correct equation is 5(-3.4k - 7) + (3k 21) to get the sum.

distribute multiplication:

5(-3.4k) - 5(7) + (3k*21) = 0
-17k - 35 + 63k = 0

Look for k:

-17k + 63k = 35
46k = 35
46k / 46 = 35 / 46
k = 0.76

Substitute k with 0.76

5(-3.4k - 7) + (3k21) = 0
5[(-3.4)(0.76) - 7] + [{(3)(0.76)}21] = 0
5(-2.584 - 7) + (2.28)(21) = 0
5(-2.584) - 5(7) + 47.88 = 0
-12.92 - 35 + 47.88 = 0
- 47.92 + 47.88 = 0.04

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Step-by-step explanation:

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Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m
MAXImum [283]

Answer:

<h3> The width (side perpedicular to the barn):  <u>x = 8 m</u></h3><h3>      The lenght (side parallel to the barn):  <u>y = 16 m</u> </h3>

Step-by-step explanation:

x  - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing:  A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x             ←  quadratic function

The maximum value of quadratic function occurs at:  x=-\frac b{2a}

a = -2,  b = 32

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32-2x = 32 - 2•8 = 16

4 0
3 years ago
Find an equation for the nth term of the arithmetic sequence.
amm1812

Answer:

a_n=-301 +37(n-1)

Step-by-step explanation:

arithmetic sequence formula:  a_n=a +(n-1)d

where a is the first term and d is the common difference

Given:

  a_{10}=32

⇒ a +(10-1)d=32

⇒ a+9d=32

Given:

    a_{12}=106

⇒ a +(12-1)d=106

⇒ a+11d=106

Rearrange the first equation to make a the subject:

a = 32 - 9d

Now substitute into the second equation and solve for d

    (32 - 9d) + 11d = 106

⇒ 32 + 2d = 106

⇒ 2d = 106 - 32 = 74

⇒ d = 74 ÷ 2 = 37

Substitute found value of d into the first equation and solve for a:

a + (9 x 37) = 32

a + 333 = 32

a = 32 - 333 = -301

Therefore, the equation is: a_n=-301 +37(n-1)

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2 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

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The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.

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2 years ago
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