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3 years ago

U = kx+y solve for x

Mathematics

1 answer:

zhuklara [117]3 years ago

6 0

Step-by-step explanation:

Kx = u - y

Divide both sides by k

X = u - y

I think that's the answer

Hope it helps:)

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Select the correct answer. Sean and Colleen are raking leaves in their yard. Working together, they can clear the yard of leaves

Lera25 [3.4K]

Answer:

40 minutes

Step-by-step explanation:

Let c represent the number of minutes it would take colleen to finish the job when he is working alone. Hence, it can be represented by the equation:

$\frac{1}{c}+\frac{1}{c+20} =\frac{1}{24} \\\\Finding\ the\ L.C.M\ of\ the\ fraction\ to\ get\ 24c(c+20)\ as\ the\ L.C.M.\\Multiply\ the\ whole\ equation\ by\ 24c(c+20):\\\\\frac{1}{c}(24c(c+20))+\frac{1}{c+20}(24c(c+20)) =\frac{1}{24}(24c(c+20)) \\\\24c+480+24c=c^2+20c\\\\48c+480=c^2+20c\\\\c^2+20c-48c-480=0\\\\c^2-28c-480=0$

Solving the quadratic equation to get c gives:

c = -12 and c = 40

Since the time cannot be negative, hence c = 40 minutes.

It would take colleen 40 minutes to clear the yard of leaves alone

6 0

2 years ago

Find the area of the rhombus. 4.32 m2 2.16 m2 1.08 m2 1.05 m2

S_A_V [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The part of the diagonals are given as 0.9 m and 1.2 m.

The diagonals of rhombus intersect each other.

Hence the length of diagonals will be : $0.9*2=1.8$ and $1.2*2=2.4$

The formula of area of rhombus is : $\frac{pq}{2}$ where p and q are the length of diagonals.

So plugging the values of diagonals in formula, the area will be :

Area = $\frac{1.8*2.4}{2}$

Area = $\frac{4.32}{2}$

Area = $2.16 \ m^2$ ................. Answer

Hope it will help :)

6 0

2 years ago

Find axis of symetry y=2x^2+4x-10

Tema [17]

The axis of symmetry is x=-1

6 0

3 years ago

What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu

inn [45]

Answer:

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

Step-by-step explanation:

The given expression is

$\frac{2x+5}{x^{2} -3x} -\frac{3x+5}{x^{3} -9x} -\frac{x+1}{x^{2}-9}$

First, we need to factor each denominator

$\frac{2x+5}{x(x-3)} -\frac{3x+5}{x(x+3)(x-3)} -\frac{x+1}{(x-3)(x+3)}$

So, the least common factor (LCF) is $x(x-3)(x+3)$ , because they are the factors that repeats.

Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

$\frac{(x+3)(2x+5)-3x-5-x(x+1)}{x(x-3)(x+3)} =\frac{2x^{2}+5x+6x+15-3x-5-x^{2}-x }{x(x-3)(x+3)}\\\frac{x^{2}+7x+10}{x(x-3)(x+3)}$

Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

Therefore, the expression is equivalent to

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

8 0

2 years ago

Read 2 more answers

4✓6 × 3✓6 multiply and simplify show work

mafiozo [28]

Answer:

√

Explanation:

First put change the words into an equation:

√

Now you can multiply them together as you would normally multiply:

√

Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:

/ \

As you can see, we have a square:

So take

√

out of

√

. You should have:

√

But since

√

we can simplify further to make:

√

→

√

Step-by-step explanation:

3 0

2 years ago