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marishachu [46]

3 years ago

9

Consider the equation . how many different solutions does this equation have if all the variables must be positive integers? ent

er the exact numeric answer.

1 answer:

Schach [20]3 years ago

6 0

What is the equation?

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Xander rolls two 6-sided number cubes. What is the theoretical probability of rolling an even number on the first cube and a num

NeX [460]

Answer:

1/6

Step-by-step explanation:

7 0

3 years ago

Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy duty fence to keep out the cr

sattari [20]

$\bf \textit{the area of either pen is 2744, thus}\\\\
A=xy\implies 2744=xy\implies \cfrac{2744}{x}=y$

$\bf \begin{array}{llll}
\textit{perimeter of the garden pen}\\\\
P=2(x+y)\\\\
P=2\left( x+ \cfrac{2744}{x}\right)\\\\
P=2x+\cfrac{5488}{x}\\
----------\\

\textit{cost of it}\\\\
C=15\left( 2x+\cfrac{5488}{x} \right)\\\\
C=30x+\cfrac{82320}{x}
\end{array}\qquad 
\begin{array}{llll}
\textit{perimeter of the dog pen}\\\\
P=2x+y\\\\
P=2x+\cfrac{2744}{x}\\
----------\\
\textit{cost of it}\\\\
C=5\left( 2x+\cfrac{2744}{x} \right)\\\\
C=10x+\cfrac{27440}{x}
\end{array}$

notice... the dog's pen perimeter, does not include the side that's bordering the garden's, since that side will use the heavy duty fence, instead of the light one

so, the sum of both of those costs, will be the C(x)

$\bf C(x)=\left( 30x+\cfrac{82320}{x} \right)+\left( 10x+\cfrac{27440}{x} \right)
\\\\\\
C(x)=40x+\cfrac{109760}{x}$

so, just take the derivative of it, and set it to 0 to find the extremas, and do a first-derivative test for any minimum

8 0

3 years ago

How do I work out A & B ?

Sonja [21]

Answer:

see explanation

Step-by-step explanation:

(a)

Given

x² + 5x + 6

Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)

The factors are 3 and 2, since

3 × 2 = 6 and 3 + 2 = 5, hence

x² + 5x + 6 = (x + 3)(x + 2) ← in factored form

(b)

To solve

x² + 5x + 6 = 0 ← use the factored form, that is

(x + 3)(x + 2) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2

4 0

3 years ago

Read 2 more answers

Solve for x <br> (1 point)

Delicious77 [7]

It should be 13 since 13+8 = 21. 21-7 = 13

5 0

3 years ago

I need help with this page

Alika [10]

This is all I can do for now, I might be back to solve the rest, I’m sorry.

3 0

2 years ago