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2 years ago

Given the equation 2Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution.

Mathematics

2 answers:

sashaice [31]2 years ago

6 0

Answer:

x=196

Step-by-step explanation:

In order to solve this you just have to clear X fro the equation and solve:

$2\sqrt{x} - 5=2\\ 2\sqrt{x}=2+5\\\sqrt{x}=7*2\\x=14^2\\x=196$ Once you´ve calculated this you have the solution for the equation, that is x.

It is not an extraneous solution.

Aleks [24]2 years ago

4 0

For what values of b is f(x) = b^x an increasing function?

A.Any real number
B.b > 0
C.b > 1
D.0

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The velocity of a ball is thrown up is 20 meters/second. It attains zero velocity after 3.5 seconds. What is the average acceler

Reptile [31]

Average acceleration: ( v - v o ) / Δ t
v = 0 m/s, v o = 20 m/s, Δ t = 3.5 s
a (average) = ( 0 m/s - 20 m/s )/3.5 s = - 20 m/s / 3.5 s =
= - 5.7142857 m/s² ≈ - 5.71 m/s²

7 0

2 years ago

Read 2 more answers

A runner increases his velocity from 0 m/s to 20 m/s in 2.0s. What was his average acceleration?

xenn [34]

change in velocity = 20 - 0 = 20

change in time = 2 seconds

Divide the change in velocity over the change in time: 20/2 = 10

The average acceleration is 10 m/s^2

I.e, each second, the speed increases by 10 m/s

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2 years ago

A group of kids just finished trick-or-treating. The number of pieces of candy collected by each of the 5 kids

NemiM [27]

Answer:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808$

And the answer for this case would be :

$s= 3.81$ after round the value

Step-by-step explanation:

We have the following data set given:

31, 33, 36, 41, 34

If we want to find the standard deviation we need to find first the sample mean with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{31+33+36+41+34}{5}= \frac{175}{5}= 35$

Now we can find the sampel deviation with this formula:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808$

And the answer for this case would be :

$s= 3.81$ after round the value

6 0

2 years ago

Given the trinomial 5x^2-2x-3, predict the type of solutions.

pishuonlain [190]

Consider the trinomial $5x^2-2x-3.$

1. Find the discriminant:

$D=b^2-4ac=(-2)^2-4\cdot 5\cdot (-3)=4+60=64,\\ \\\sqrt{D}=8>0.$

2. Find the roots of given trinomial:

$x_{1,2}=\dfrac{-b\pm \sqrt{D}}{2a}=\dfrac{2\pm 8}{2\cdot 5}=1,-0.6.$

3. Conclusion: given trinomial has two different real roots.

3 0

2 years ago

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Anna and Hannah have \$80$80dollar sign, 80 each. Their friend offered to invest their money, promising to return a sum rrr time

sergey [27]

9514 1404 393

Answer:

2r(20r +60) = 80r^2

Step-by-step explanation:

Anna's first investment:

Anna's first return:

20r

Anna's second investment:

20r +60

Anna's second return:

r(20r +60)

Hannah's first investment:

Hannah's first return, and her second investment:

80r

Hannah's second return:

80r^2

Twice Anna's return was equal to Hannah's return:

2r(20r +60) = 80r^2

7 0

2 years ago