What percentage of people surveyed can swim?

1. List the steps that should be used to solve the equation (f)x=g(x) by graphing when F(x)=(1/2)^x-3 and g(x)=3x+5

natima [27]

Answer: Step 1 : make a table with one side being f(x) and the other being g(x)

step 2 graph the equtaions

step 3: give the x value of point of intersection

Step-by-step explanation:

3 0

3 years ago

The table and graph show the daily numbers of views for two videos. Which videos daily number of views grows faster from Day 1 t

Brilliant_brown [7]

Answer:

Video A

Step-by-step explanation:

We want to find the rate of change from day 1 to day 3

Video A

m = (128-54)/(3-1)

=74/2

=37

Video B

m = (120-50)/(3-1)

= 70/2

=35

Video A has a greater rate of change

6 0

4 years ago

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D/d{cosec^-1(1+x²/2x)} is equal to

SIZIF [17.4K]

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

$\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

Let assume that

$\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

We know,

$\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}$

So, using this, we get

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)$

Now, we use Method of Substitution, So we substitute

$\red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}$

So, above expression can be rewritten as

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)$

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)$

$\rm\implies \:y = 2z$

$\bf\implies \:y = 2 {tan}^{ - 1}x$

So,

$\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x$

Thus,

$\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

$\rm \: = \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)$

$\rm \: = \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)$

$\rm \: = \: 2 \times \dfrac{1}{1 + {x}^{2} }$

$\rm \: = \: \dfrac{2}{1 + {x}^{2} }$

Hence, 

$\purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}$

Hence, Option (d) is correct.

6 0

3 years ago

Can someone answer this please

Roman55 [17]

Answer:

<COB = 50°

Step-by-step explanation:

We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:

3x + 94 + x + 18 + 2x - 4 = 180

Then, we can combine like terms:

6x + 108 = 180

6x = 72

x = 12

We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:

m<COB = m<COD + m<DOB

m<COB = x + 18 + 2x - 4

m<COB = 3x + 14

We have the value of x, so we can substitute that in:

<COB = 3(12) + 14

<COB = 36 + 14

<COB = 50°

4 0

3 years ago

Using Area Models to Divide a Fraction by a Fraction An area model has 1 shaded part and 1 unshaded part. The shaded part is lab

sweet [91]

How many sixths are in 1/2?

3

Step-by-step explanation:

i did it

5 0

3 years ago

Read 2 more answers