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Kay [80]
3 years ago
6

A group of 13 kids went for a hike by the river. The number of kids who fell into

Mathematics
1 answer:
beks73 [17]3 years ago
3 0

Answer:

62%

Step-by-step explanation:

8/ 13=61.54 round to 62%

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The answer should be a fraction
Vedmedyk [2.9K]
Ok so 40y2/50y3.... you are going to cancel out the common factor (10)  
 
4y2/5y3..
now apply the exponent rule, which is : xa /xb = 1/ xb-a

so...y2/y3 = 1/ y3 - 2 = 1/y

ANSWER : 4/5y
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3 years ago
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For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.
andriy [413]

Answer:

If k = 1 or k = -\frac{1}{2}, there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

The signal of \bigtriangleup determines how many real roots an equation has:

\bigtriangleup > 0: Two real and different solutions

\bigtriangleup = 0: One real solution

\bigtriangleup < 0: No real solutions

In this problem, we have the following second order polynomial:

(k+1)x^{2} + 4kx + 2 = 0.

This means that a = k+1; b = 4k; c = 2

It has one solution if

\bigtriangleup = 0

b^{2} - 4ac = 0

16k^{2} -8(k+1) = 0

16k^{2} - 8k - 8 = 0

We can simplify by 8

2k^{2} - k - 1 = 0

The solution is:

k = 1 or k = -\frac{1}{2}

So, if k = 1 or k = -\frac{1}{2}, there is only one solution to the given quadratic equation.

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3 years ago
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3 years ago
What is the domain of the rational function, f of x equals quantity x minus 5 over quantity 2 times x minus 3
liq [111]

Answer:

<u>Domain = R - {3/2}</u>

Step-by-step explanation:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0

The given function is :

f(x) = \frac{x-5}{2x-3}

We need to find the zeros of the denominator

∴ 2x - 3 = 0    ⇒ add 3 to both sides

∴ 2x = 3          ⇒ divide both side by 2

∴ x = 3/2        

The domain will be all real number except the zeros of the denominator.

So, Domain = R - {3/2}

Also, see the attached figure that represents the given function.

7 0
3 years ago
Using similar triangles, what is x?
Lady bird [3.3K]
\dfrac{x}{2.5}=\dfrac{x+2.4}{2.5+2}\\&#10;\dfrac{x}{2.5}=\dfrac{x+2.4}{4.5}\\&#10;4.5x=2.5(x+2.4)\\&#10;4.5x=2.5x+6\\&#10;2x=6\\&#10;x=3
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