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Rom4ik [11]
4 years ago
6

Solve: -7(3+6x)=9(-5x+7)

Mathematics
2 answers:
Ivan4 years ago
7 0

Answer:

x=28

Step-by-step explanation:

-7(3+6x)=9(-5x+7)

-21-42x=-45x+63

-21-42x-(-45x)=63

-21-42x+45x=63

-21+3x=63

3x=63-(-21)

3x=63+21

3x=84

x=84/3

x=28

12345 [234]4 years ago
4 0

Answer:

x=28

Step-by-step explanation:

-7(3+6x) = 9(-5x+7)

-21-42x=-45x+63

-42x=-45x+84

3x=84

x=28

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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 I will give brainliest if its correct :) Question is in picture
Nonamiya [84]

Answer:

2.5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve the equation 4(x - 1) = 13 for x​
Masja [62]
Answer x=4.25 or 4 1/4
8 0
3 years ago
Read 2 more answers
Lighthouse height 8 cm scale 1 cm=4m
BigorU [14]

Answer:

8cm = 32m

Step-by-step explanation:

The answer is 32 because 8 multiplied by 4 is 32.

8 * 4 = 32.

Hope this helps! :)

6 0
3 years ago
A label is placed around the juice box below, not including the bases. Determine the surface area of the label
nasty-shy [4]

Answer:

3 In²

Step-by-step explanation:

Talking about surface area, the total area of an object is taken into consideration.

NB: Kindly check the attached picture for the diagram of the 3D object.

In this question, the surface area has to be determined and we will have to take into consideration all the area of the 3D object given in the question.

Surface Area = 6 × k².

Surface area = 6 × ( 1.8 × 1.8) cm².

Surface Area = 19.44 cm².

The next thing to do here is to convert the cm² to in². Therefore, 19.44 cm² ------>  x in².

19.44 × 0.155 in² = 3 in².

8 0
3 years ago
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