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3 years ago

HELP PLEASE

1 answer:

5 0

1 worker=1/5 grass per hour
6 workers

number of workers times work each worker does times time needed=total work done
5 times ? times 1=1 lawn
?=1/5 lawn
1 worker does 1/5 lawn in 1hour

6 workers
work is 1/5
time=?
total work=1

6 times 1/5 times ? =1
6/5 times ?=1
times 5/6 both sides
?=5/6

it takes 5/6 hour or 50 minutes

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Please help!<br>what polynomial must be added to <br>−5x^3 + 4x − 3 so that the sum is x^2 − x − 1?

lakkis [162]

<h3><u>Solution:- </u></h3>

Let the number to be added be A

Now,

$\begin{gathered}\implies\quad \sf −5x^3 + 4x − 3 + A = x^2 − x − 1 \\\end{gathered}$

Transposing (−5x³+ 4x − 3 ) to other side-

$\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 -( −5x^3 + 4x − 3) \\\end{gathered}$

Remember if there is a -ve sign before a bracket the signs of whole of the terms changes on opening bracket

$\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 + 5x^3 - 4x + 3\\\end{gathered}$

Putting like terms together -

$\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 - x -4x +3 -1 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 -5x +2 \\\end{gathered}$

$\longrightarrow$ Therefore, 5x³+x²-5x +2 should be added to −5x³+ 4x − 3 to get x²− x − 1

6 0

3 years ago

Is this correct pls help

nikitadnepr [17]

Answer:

I think it's right

but plz let me know if im wrong

Step-by-step explanation:

8 0

3 years ago

I dont understand how to do the 2x part.

kodGreya [7K]

Answer:

x=6 2/3

Step-by-step explanation:

Ratio of DEF:ABC=5/3

8*5/3=13 1/3

x=6 2/3

4 0

3 years ago

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romanna [79]

Answer:

Step-by-step explanation:

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3 years ago

Solve the following logarithmic equations.<br> log2(49x^2) = 4

Mariana [72]

Answer:

$x_{1} = \frac{4}{7} \\x_{2} = \frac{-4}{7} \\$

Step-by-step explanation:

To solve this equation, one must apply the following logarithmic property:

$log_{a}(b) = c\\$

then

$b= a^{c}$

Applying it to the problem at hand:

$2^{4} = 49x^{2} \\x^{2} = \frac{16}{49} \\x_{1} = \frac{4}{7} \\x_{2} = \frac{-4}{7} \\$

The solutions to the problem are 4/7 and -4/7.

*Note that this solution was pretty straight forward because log2(16) = 4 is a known value, otherwise, a change of base to a base ten log would be required.

4 0

3 years ago