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3 years ago

What is √7 rounded to the nearest hundredth?

Mathematics

1 answer:

Rama09 [41]3 years ago

4 0

Answer:

2.64

Step-by-step explanation:

The sqhate root of 7 is 2.64575131106. Usually this would be 2.64 when rounded to nearest hundredth.

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What are the roots of the function f(x) = (log(3x ) − 2 log(3)) · (x 2 − 1) with x ∈ R?

slavikrds [6]

$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

Given:

▪ $\sf{f(x) = ( log(3x) - 2log(3))( {x}^{2} - 1) }$ $\ \sf{x \in R}$

Solve:

$\longrightarrow \sf{f(x) = (log(3x) - 2log(3))( {x}^{2} - 1) = 0}$

$\small\longrightarrow \sf{ log(3x) - 2 log(3) = 0 \: \: or \: {x}^{2} - 1 = 0 }$

$\small\longrightarrow \sf{ log(3x) - 2 log(3) = 0}$

$\small\longrightarrow \sf{ log(3x) - log( {3}^{2} ) = 0}$

$\small\longrightarrow \sf{log_{10}( \dfrac{3x}{9} ) = 0}$

$\small\sf{ \Longrightarrow \dfrac{3x}{9} = {10}^{0} }$

$\small\longrightarrow \sf{ \dfrac{x}{3} = 1}$

$\small \sf{x= \underline{3}}$

Next $\downarrow$

$\small\longrightarrow \sf{{x}^{2} - 1 = 0}$

$\small\longrightarrow \sf{ {x}^{2} = 1}$

$\small\longrightarrow \sf{x = \pm \sqrt{1} }$

$\small\sf{x= (\underline{1},-1)}$

$\small\longrightarrow \sf{ log(3x) = log(3( - 1)) \cancel{ \in}R}$

$\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}$

$\small\bm{The \: \: roots \: \: of \: \: f(x) \: are \: 1 \: and \: 3.}$

4 0

2 years ago

HELP ASAP 15 points

jok3333 [9.3K]

Answer:

y+1=5(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=5(x-(-2))

y+1=5(x+2)

4 0

3 years ago

Shawn is buying a new Jet Ski

marishachu [46]

Answer:

Step-by-step explanation:

3 0

3 years ago

Find the area of the triangle

Fofino [41]

Answer: Area of a triangle = (b*h)/2

Step-by-step explanation:

8*14= 112

112/2=56

The area of the triangle is 56 square units.

4 0

3 years ago

Read 2 more answers

Gretta is having a birthday party and is buying pizza for everyone. She buys 32 pizza for 8.00 dollars. What is the unit rate?

mestny [16]

Answer

= 4 pizzas per dollar

Step-by-st:ep explanation:

This is a fraction equal to

32 pizza ÷ 8 dollars

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

32 pizza ÷ 8

8 dollars ÷ 8

4 pizza

1 dollar

4 pizza

dollar

= 4 pizzas per dollar

Hope this helps!

4 0

3 years ago