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weqwewe [10]
3 years ago
13

What is the solution for x in -10x+6y=-28

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

x = -0.6y + 5.6 is the answer

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Use a double angle identity to rewrite the formula r(Θ)=<img src="https://tex.z-dn.net/?f=1%2F16v%5E2sin%28theta%29cos%28theta%2
Artist 52 [7]

Answer:

1/32v²sin2θ

Step-by-step explanation:

Given the expression r(theta) = 1/16v²sinθcosθ

According to double angle of trigonometry identity;

Sin2θ = sin(θ+θ)

Sin2θ = sinθcosθ + cosθsinθ

Sin2θ = 2sinθcosθ

sinθcosθ = sin2θ/2 ... **

Substituting equation ** into the question

1/16v²sinθcosθ = 1/16v²(sin2θ/2)

1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)

1/16v²sinθcosθ = 1/32v²sin2θ

Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ

7 0
3 years ago
A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i
steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

-5x^3+6x^2+15x -14=0\cdots(ii)

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

4 0
3 years ago
Please help me on these two ! Very confused
tigry1 [53]
The first one is D and the second is A
4 0
3 years ago
Read 2 more answers
Please solve <br> 2b+ 1/2a(b-2/3)-4ab<br> Show all your steps please!
Mashcka [7]

Answer: Distribute:

=2b+(

1

2

a)(b)+(

1

2

a)(

−2

3

)+−4ab

=2b+

1

2

ab+

−1

3

a+−4ab

Combine Like Terms:

=2b+

1

2

ab+

−1

3

a+−4ab

=(

1

2

ab+−4ab)+(

−1

3

a)+(2b)

=

−7

2

ab+

−1

3

a+2b

Answer:

=

−7

2

ab+

−1

3

a+2b

Step-by-step explanation: done

7 0
3 years ago
Graph the solution set to this inequality.<br> 3x - 11 &gt; 7x + 9
Bess [88]

Answer:

x<-5                       <--------o open circle

Step-by-step explanation:

8 0
3 years ago
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