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4 years ago

BRAINLIEST !!

Mathematics

2 answers:

zepelin [54]4 years ago

7 0

Answer:

1. 389/39

2. 45/2

Step-by-step explanation:

24/35 = (3x+7)/(6x-6)

144x - 144 = 105x + 245

39x = 389

x = 389/39

9/(x+9) = 6/(15+6)

9/(x+9) = 6/21 = 2/7

63 = 2x + 18

2x = 45

x = 45/2

dmitriy555 [2]4 years ago

5 0

Answer:

The answer to your question is below

Step-by-step explanation:

Use proportions to solve these problems

(6x - 6)/35 = (3x + 7)/24

Solve for x

24(6x - 6) = 35(3x + 7)

Expand

144x - 144 = 105x + 245

144x - 105x = 144 + 245

39x = 389

x = 389/39

x = 9.97

2) 9 + x = 6 + 15

Solve for x

x = 21 - 9

x = 12

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Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

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Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.

We know that,

$a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}$

Next, we need to plug in the known values and calculate the value of $f(2.1)$ :

${L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)$

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3 years ago

The measure of angle 1 is 39 degrees. What is the measure of the angle adjacent to angle<br> 1?

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Answer:

Step-by-step explanation:

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