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3 years ago

5 people take 12 hours to build a wall. How long would it take 3 people to build the wall?

Mathematics

1 answer:

mafiozo [28]3 years ago

8 0

Step-by-step explanation:

5p=12h

3p=?(h)

12×3=5h

36=5h

h=36/5

h=7.2 hours

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Simplify the difference quotient f ( x + h ) â f ( x ) h for the function f ( x ) = 6 x â x 2

ladessa [460]

Answer:

final answer is 6

Step-by-step explanation:

Given $f(x)=6x-2$

To find the difference quotient use formula

$\frac{f(x+h)-f(x)}{h}$

$f(x)=6x-2$

$f(x+h)=6(x+h)-2=6x+6h-2$

Now plug it in the formula

$\frac{f(x+h)-f(x)}{h}$

$\frac{6x+6h-2-(6x-2)}{h}$

$\frac{6x+6h-2-6x+2)}{h}$

$\frac{6h}{h}$

5 0

3 years ago

Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1

Lera25 [3.4K]

Assuming the function is

$f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}$

For $f(x)$ to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)$
$\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)$
$\iff2=b+c$

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

$f'(x)=\begin{cases}2&\text{for }x1\end{cases}$

$\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)$
$\iff2=2b+c$

Now we solve for $b$ and $c$ :

$\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2$

5 0

4 years ago

Select the favorable Outcomes for rolling double sixes

ira [324]

We want double sixes. This means that we want both the first roll and the second roll to be 6.

The given point is given as (r1 , r2) where:
r1 is output from first roll
r2 is output from second roll

Since we want both outputs to be 6, therefore, the answer would be: (6,6)

4 0

4 years ago

What is the opposite of the integer -4 plss thx :)

qwelly [4]

Answer:

Step-by-step explanation:

any opposite of a natural number is created with a "minus"

- (-4) = +4

7 0

3 years ago

Read 2 more answers

Plz help, I don't know how to do this

exis [7]

Once you complete the square the equation is (x+3)^2 + (y - 8)^2 = 64
The center is (-3,8)
Radius is 8
A. False
B. True
C. False

3 0

4 years ago