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1 year ago

Which is equivalent to √50x³ after it has been simplified completely?

Mathematics

1 answer:

Fantom [35]1 year ago

6 0

Surds 5x√2x is equivalent to √50x³ after it has been simplified completely.

What is surds in maths?

When a square root, cube root, or other root symbol is used in an expression, it is known as a surd.
Irrational numbers cannot be stated accurately in decimal form because their decimals do not finish or recur.
Surds are used to write irrational numbers precisely.

For this case we have the following expression

√50x³

We can write it as

$\sqrt{25 * 2 * x *x * x }$

$\sqrt{25 * 2 * x^{2} * x}$

We know that

√25 = 5

By power properties we have

√x² = $x^{\frac{2}{2} }$ = x¹ = x

So simplifying we have

5x√2x

Learn more about Surds

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What is 2 divided by 1386

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Lol its <span>0.00144300144</span>

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3 years ago

Perform the indicated operation.(4r/r+3) - (5/r)

Aleks [24]

Answer:

4r² - 5r - 15 / r(r+3)

Step-by-step explanation:

To solve this problem, we will proceed the following way, writing down the common multiple of the denominators.

$\frac{4r}{r+3} -\frac{5}{r} =\frac{4r(r)-5(r+3)}{r(r+3)} =\frac{4r^{2}-5r-15 }{r(r+3)}$

Thus, the answer is 4r² - 5r - 15 / r(r+3)

7 0

3 years ago

8_murik_8 [283]

It was a 15 percent tip

8 0

3 years ago

Read 2 more answers

One antifreeze solution is 20% alcohol. Another antifreeze solution is 12% alcohol. How many liters of each solution should be c

katrin [286]

Use this systems of equations to solve:

x = first antifreeze
y = second antifreeze

$\left \{ {{.2x + .12y = .18(15)} \atop {x + y = 15}} \right.$

Isolate y.

x + y = 15
Subtract x from both sides.
y = -x + 15

Substitute y into the other equation.

.2x + .12(-x + 15) = .18(15)
Simplify.
.2x - .12x + 1.8 = 2.7
Subtract 1.8 from both sides.
.08x = .9
Divide both sides by .08
x = 11.25

Substitute x in the equation that we isolated y in.

y = -11.25 + 15
y = 3.75

11.25 L of the first antifreeze and 3.75 L of the second.

5 0

3 years ago

Use a separate sheet of paper to solve the system of inequalities by graphing. Use the graph to decide if the point (1, –1) is i

Lena [83]

Answer:

The answer is no though, the point (1,-1) is below both.

Step-by-step explanation:

So the two inequalities are y≤-3x+3 and 3x+8y≥3

With inequalities you have to know a few things. First, when you graph you may have to use non solid lines. for instance, if you had x<5, 5 would not be part of the answer because it is only answers less than 5. so you represent this by making a dashed line that says "you cannot include values on this line". Second, with algebra, if you multiply both sides by a negative it flips the inequality. for instance -y > 54 you would multiply (or divide) by -1 and it would change to y < -54. Third, when graphing an inequality, treat it like an equation and graph the line as if it were said equation(with solid or dashed lines as needed) then, if it is y > f(x) you shade in the section above the line and y < f(x) shades in below. The shaded part is your answer basically. Now lets get into yours.

y≤-3x+3

It is already in the form y = f(x) so grapht he line 3x + 3 with a solid line since it is y is less than or equal to, then shade below that line.

3x+8y≥3

First get it so y is by itself

3x+8y≥3

8y≥3 - 3x

y ≥ 3/8 - 3/8 x

Now grapht his line with a solid line and shade the area above it.

Now, the shaded area below between y ≥ 3/8 - 3/8 x and y≤-3x+3 and the lines are your answer, so you need to check if the point (1, -1) is in this shared shaded area or on one of the lines.

The answer is no though, the point (1,-1) is below both.

6 0

3 years ago