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3 years ago

The value -1 is a lower bound for the zeros of the function shown below F(x)=x^4+x^3-11x^2-9x+18

Mathematics

1 answer:

Rama09 [41]3 years ago

8 0

Hello,

f(x)=x^4+x^3-11x²-9x+18=(x+2)(x+3)(x-3)(x-1)

-3 is the lowest zero.

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Problem Page

MrMuchimi

Answer:

1 machine must be made to minimise the unit cost.

Step-by-step explanation:

Step 1: Identify the function

x is the number of machines

C(x) is the function for unit cost

C (x) = 0.5x^2-150 + 21,035

Step 2: Substitute values in x to find the unit cost

C (x) = 0.5x^2-150 + 21,035

The lowest value of x could be 1

To check the lowest cost, substitute x=1 and x=2 in the equation.

When x=1

C (x) = 0.5x^2-150 + 21,035

C (x) = 0.5(1)^2-150 + 21,035

C (x) = 20885.5

When x=2

C (x) = 0.5x^2-150 + 21,035

C (x) = 0.5(2)^2-150 + 21,035

C (x) = 20887

We can see that when the value of x i.e. the number of machines increases, per unit cost increases.

Therefore, 1 machine must be made to minimise the unit cost.

3 0

3 years ago

. What is the solution set for

elena-s [515]

Answer:

Hope this is correct and helpful

HAVE A GOOD DAY!

4 0

3 years ago

Use the discriminant to describe the roots of each equation. Then select the best description.

IrinaK [193]

$\frac{-b+- \sqrt{b^{2} -4ac } }{2a}$
This is the solution of the equation, where a=1, b=-5, c=7

So the discriminant is :
b^2-4ac=25-4*7= -3
The square root of -3 is non-real, this both solutions are non-real.

3 0

3 years ago

Read 2 more answers

A prime number less than 100 is selected randomly. what is the probability that its square has units digit $7$?

liberstina [14]

Any number ends with 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9

Given any number. The square of this number is the last digit of square of the original numbers units digit.

For example

23*23 ends with 9 (3*3=9)

149*149 ends with 1 (9*9=81)

2564*2564 ends with 6 (4*4=16)

and so on

so all the possible unit digits of a square number are {0, 1, 4, 5, 6, 9}

because:

0*0= 0 ; 1*1=1; 2*2=4; 3*3=9; 4*4=16; 5*5=25, 6*6=36; 7*7=49; 8*8=64, 9*9=81

Thus, the probability that the square of a number selected from any set of numbers being 7, is 0.

Answer: 0

4 0

3 years ago

4 1/5 ÷ 2/3 as a mixed number in simplest form

Lady_Fox [76]

Answer:

Step-by-step explanation:

$4 \frac{1}{5} \div \frac{2}{3} = \frac{21}{5} \div \frac{2}{3} = \frac{21}{5} \times \frac{3}{2 } \\ \\ = \frac{63}{10} = 6 \frac{3}{10}$

8 0

3 years ago