1962÷18 whats the answer show working

What are the solutions to the equation?

Phantasy [73]

Answer:

x = -2 and 1

Step-by-step explanation:

Given :

f(x) = x+2

g(x) = -x²+4

The solution to the equation f(x) = g(x)

=> x+2 = -x²+4

=> x²+x = 4-2

=> x²+x -2 = 0

By factorisation

=> x²+2x-x -2 = 0

=> x(x+2) -1(x+2)

=> (x+2) (x-1)

x = -2 and 1

4 0

2 years ago

the zero of the quadratic polynomial x^2+99x+127 are a both positive b both negative c one +ve one-ve d both equal. please help

Paha777 [63]

Step-by-step explanation:

By Descrates' Rule of Signs,

x² + 99x + 127 changes sign 0 times.

Hence it has 0 positive roots.

Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.

Hence both the roots are negative. (B)

7 0

2 years ago

Read 2 more answers

The school currently has 30 classrooms. With the addition, there will be 40 classrooms. What percentage of the current number of

stiv31 [10]

The answer is 34%
30+33%=39.9
So round up two 34%
I hope that is right but I think the answer is 34%

6 0

2 years ago

A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing

Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

A fence must be built to enclose a rectangular area of 20,000 ft²
Fencing material costs $4 per foot for the two sides facing north and south and $8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ $y=\frac{20,000}{x}$

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ $C=8x+16(\frac{20,000}{x})$

∴ $C=8x+\frac{320,000}{x}$

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ $\frac{320,000}{x}$ can be written as $320,000x^{-1}$

∴ $C=8x+320,000x^{-1}$

∵ $\frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}$

∴ $\frac{dC}{dx}=8-320,000x^{-2}$

- Equate $\frac{dC}{dx}$ by zero

∴ $8-320,000x^{-2}=0$

∵ $-320,000x^{-2}=-\frac{320,000}{x^{2}}$

∴ $8-\frac{320,000}{x^{2}}=0$

- Subtract 8 from both sides

∴ $-\frac{320,000}{x^{2}}=-8$

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √ for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ $C=8(200)+\frac{320,000}{(200)}$

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0

3 years ago

How do you do this?? Show all work please

olchik [2.2K]

The answer is every long.

Step-by-step explanation:

as the figure shows

5 0

2 years ago

1962÷18 whats the answer show working​

1962÷18 whats the answer show working