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2 years ago

Identify the value them make the inequality true x >4 Answers: x=4,x=6,x=10,x= -4

Mathematics

2 answers:

bija089 [108]2 years ago

6 0

Answer:

the answer is x=-4

Alika [10]2 years ago

3 0

Answer:

x= -4

Step-by-step explanation:

This is correct because no other options fit.

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Need help plz help me out thanks!

Elden [556K]

Answer:

I hope this helps!

Step-by-step explanation:

3y(5x+3)=15yx+9y

2y(2x+3)=4yx+6y

4y(x+2)=4yx+8y

3y(7x+2)=21yx+6y

6 0

3 years ago

Read 2 more answers

An adventurous dog strays from home, runs three blocks east, two blocks north, one block east, one block north, and two blocks w

Marrrta [24]

<h2>Answer:</h2>

<u>Distance = 360.55 m</u>

<u>Direction = North-East</u>

<h2>Step-by-step explanation:</h2>

In the question,

The adventurous dog starts from O, say.

He moves 3 blocks East = 300 m

then,

2 blocks North = 200 m

1 block East = 100 m

1 block North = 100 m

2 blocks West = 200 m

So,

Distance of the Dog's <u>final position</u> from the <u>initial position</u><u>.</u>

OE is given by,

In triangle OLE, using Pythagoras theorem,

$OE^{2}=OL^{2}+LE^{2}\\OE^{2}=(200)^{2}+(300)^{2}\\OE^{2}=40000+90000\\OE=360.55\,m$

<em><u>Therefore, the distance of Dog from the Home is 360.55 m and the direction of Dog from Home is North-East.</u></em>

8 0

2 years ago

Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x

Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = $3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4$

$fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}$

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

$x(x^{2}+x) \neq 0$

If x = 0, the function doesn't exist.

$x^{2}+x \neq0$

$x(x+1) \neq0$

$x+1\neq0$

$x\neq-1$

<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>

5 0

3 years ago

ABCD is a rectangle. The length of AC is 3x - 1. The length of BD is 2x + 5.

antoniya [11.8K]

Answer:

C.13

Step-by-step explanation:

3 0

2 years ago

Question Help

lorasvet [3.4K]

Answer:

The speed of the boat is 20 km/hr

Step-by-step explanation:

Let s be the speed of boat in still water

Let d be the distance

Upstream speed = s-4

Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.

So, Distance traveled in upstream = $Speed \times time =(s-4) \times \frac{30}{60}$

Downstream speed = s+4

So, Distance traveled in downstream = $Speed \times time =(s+4) \times \frac{20}{60}$

So, $(s-4) \times \frac{30}{60}=(s+4) \times \frac{20}{60}$

30s-120=20s+80

10s=200

s=20

Hence The speed of the boat is 20 km/hr

6 0

3 years ago