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3 years ago

Solve the compound inequality4 < x - 5 < 12

Mathematics

1 answer:

uysha [10]3 years ago

4 0

4 < x - 5 < 12

4 + 5 < x < 12 + 5

9 < x < 17

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Find the length of side x in simplest radical form with a rational denominator.

Lerok [7]

Answer:

x = √2

Step-by-step explanation:

Here, we want to get the value of x

As we can see, what we have is a right triangle

x faces the angle 30 which makes it the opposite to that angle

the root of 6 is the adjacent to the angle 30

Mathematically, the ratio of the opposite to the adjacent is the tan

Thus;

Tan 30 = x/√6

Tan 30 = 1/√6

1/√3 = x/√6

x = √6/√3

x = √(6/3)

x = √2

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3 years ago

Given f(x)=arctan(2x), find f’(x) in simplest form

Lostsunrise [7]

Answer:

Step-by-step explanation:

$f(x)=tan^{-1} 2x\\let f(x)=y\\y=tan^{-1}2x\\tan y=2x\\diff. w.r.t.x\\sec^2y(\frac{dy}{dx} )=2\\\frac{dy}{dx} =\frac{2}{sec^2 y} =\frac{2}{1+tan^2y} =\frac{2}{1+(2x)^2} \\f'(x)=\frac{2}{1+4x^2}$

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3 years ago

6. Maya is driving 120 miles to her grandmother’s house. She drives 35% of the distance before stopping for lunch. How far does

inna [77]

Answer:

42 miles

Step-by-step explanation:

10% of 120 is 12 and 5% is 6 so first you need o multiply 10x3 to get 30% then 12x3 to get the miles. Then you add the six to 12x3 and the five to 10x3 and you get

35%=42

5 0

3 years ago

Kimberly's school is 12 kilometers west of her house and 9 kilometers south of her friend Alexa's house. Every day, Kimberly bic

Tanzania [10]

Answer:

39 Kilo meters

Step-by-step explanation:

12 Km (1) - school

9 Km(3) -Alexa's house

12Km+27Km=39Km

please friend me

3 0

3 years ago

Help please will mark best answer

77julia77 [94]

I figured out the first question, the second one in lost on.

$\frac{(6-x)}{x^2+3x-28} / \frac{x^2-36}{x^2+5x-36}$

Factor both of the equations, numerator and denominator

$\frac{(6-x)}{(x+7)(x-4)}* \frac{(x+6)(x-6)}{(x+9)(x-4)}$

Cancel the like factors *excuse the zero im just showing you*

$\frac{(0)}{(x+7)} *\frac{(x+6)}{(x-9)}$

Combine frunctions

$\frac{(6+x)}{(x-9)(x+7)}$

x-9=0
x+7=0

Restrictions are 9 and -7

4 0

4 years ago