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3 years ago

14

Given the equation

2x+1}=3" align="absmiddle" class="latex-formula">, solve for x and identify if it is an extraneous solution.

1 answer:

r-ruslan [8.4K]3 years ago

4 0

3 I don’t actually Know the answer sorry

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PLEASE HELP ME OUT!!

Zielflug [23.3K]

Answer:

(d) 1/√(s³)

Step-by-step explanation:

The expression can be simplified by making use of the rules of exponents.

<h3>Rules of exponents</h3>

The relevant rules are ...

$a^b\cdot a^c=a^{b+c}\\\\(a^b)^c=a^{bc}\\\\\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}\\\\a^{b/c}=\sqrt[c]{a^b}$

<h3>Application</h3>

The given expression can be simplified by applying these rules.

$\left(\dfrac{1}{s^{-1}\cdot s^8}\right)^{3/14}=\dfrac{1}{(s^{-1+8})^{3/14}}=\dfrac{1}{s^{7\cdot3/14}}=\dfrac{1}{s^{3/2}}=\boxed{\dfrac{1}{\sqrt{s^3}}}$

3 0

2 years ago

0.07 is 10 times as great as

Phoenix [80]

0.07 is 10 times greater than 0.007

5 0

3 years ago

Read 2 more answers

A screening test for a newly discovered disease is being evaluated for its performance as a screening test. In order to determin

Elena-2011 [213]

Answer:

- Sensitivity = 62.7 %

- specificity = 74.9 %

- positive predictive value = 45.2 %

- negative predictive value = 85.9 %

- Accuracy of the test = 71.9 %

Step-by-step explanation:

Given the data in th question;

CONDITION POSITIVE CONDITION NEGATIVE TOTAL

TEST POSITIVE 42 51 93

TEST NEGATIVE 25 152 177

TOTAL 67 203 270

so; A=42, B=51, C=25 and D=152

Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=

Sensitivity = 62.7 %

specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=

specificity = 74.9 %

positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100

positive predictive value = 45.2 %

negative predictive value = [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100

negative predictive value = 85.9 %

Accuracy of the test = [A + D / ( A+B+C+D)] = [42 + 152 / ( 42+51+25+152)]

= [ 194 / 270 ]

Accuracy of the test = 71.9 %

3 0

3 years ago

Distributive property<br> 1/2(6x-14)

stich3 [128]

Answer:

The answer is 3x−7

Step-by-step explanation:

uvu

3 0

4 years ago

Read 2 more answers

How do you graph y-2=1/2 (x+6)

jeyben [28]

The point-slope form:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

Convert the given equation to the slope-intercept form:

$y-2=\dfrac{1}{2}(x+6)$ <em>use distributive property a(b + c) = ab + ac</em>

$y-2=\dfrac{1}{2}x+3$ <em>add 2 to both sides</em>

$y=\dfrac{1}{2}x+5$

It is a linear function. We only need two points to plot the graph.

The first point we have from point-slope form → x₁ = -6, y₁ = 2 → (-6, 2).

The second point we have from slope-intercept form → b = 5 → (0, 5)

5 0

4 years ago