(6m^2+7m^2-4m+2)/(3m+2)

Mathematics

1 answer:

likoan [24]3 years ago

8 0

Answer:

(22m+2)/(3m+2)

Step-by-step explanation:

12m+14m-4m+2)/3m+2

(22m+2)/(3m+2)

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Which equation reprints the slope intercept form of the line below ? Y- intercept = (0,2) slope = -3/7

Ann [662]

Answer:

y = $-\frac{3}{7} x$ + 2

Step-by-step explanation:

The y-intercept of the line is (0,2)

The slope of the line is $-\frac{3}{7}$

We derive the slope of a line by dividing the change in y by the change in x

So,

$\frac{y - 2}{x - 0}$ = $-\frac{3}{7}$

y - 2 = $-\frac{3}{7} x$

The equation of the line therefore is;

y = $-\frac{3}{7} x$ + 2

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The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must t

Stolb23 [73]

Answer: The answer is 28%.

Step-by-step explanation: Given that the volume of construction work was increased by 60% and the productivity of labour increased by 25% only. We are to find the percentage by which the number of workers must increase to complete the in time.

Let 'V' be the volume of construction work, 'p' be the productivity of labour, 'n' be the number of workers, and 'x' be the percentage by which the number of workers must increase.

According to the question, we have

$V=r\times n,\\\\\dfrac{8}{5}V=\dfrac{5}{4}r\times n(1+x).$

Dividing the second equation by the first equation, we have

$\dfrac{\frac{8}{5}V}{V}=\dfrac{\frac{5}{4}nr(1+x)}{nr}\\\\\Rightarrow \dfrac{8}{5}=\dfrac{5}{4}(1+x)\\\\\Rightarrow 1+x=\dfrac{32}{25}\\\\\Rightarrow x=\dfrac{7}{25}=0.28.$ .