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goldfiish [28.3K]
3 years ago
7

Simplify x^2-9/x^2-3x

Mathematics
1 answer:
Kipish [7]3 years ago
4 0

Answer: x4 - 3x3 - 9

 ————————————

      x2  

Step-by-step explanation:

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timofeeve [1]
Answer:
I think the answer is (2) y=<=3x-1
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3 years ago
A square pyramid on top of a rectangular prism. The rectangular prism has a length of 8 feet, width of 7 feet, and height of 8 f
Roman55 [17]
I don’t see a figure sorry
7 0
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PLEASE HELP ASAP I have no idea how to solve this pls pls pls
xz_007 [3.2K]

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

5 0
2 years ago
1)The graph of the function y = 4x does not pass through the origin.
Gemiola [76]

Answer:

The correct options are:

Option B) 4^x is never zero.

Option F) When x=0, y≠0

Step-by-step explanation:

Consider the provided function.

y=4^x

When we substitute x=0 in above function we get:

y=4^{0}

y=1

When we substitute x=-1 in above function we get:

y=4^{-1}

y=0.25

When we substitute x=1 in above function we get:

y=4^{1}

y=4

The above function is exponential function which does not pass through the origin and the range of the function is a positive number.

The graph of the function is shown in figure 1.

Now consider the provided options.

Option A) 4^x is always greater than or equal to 1.

The option is incorrect as the value of the function is less than 1 for negative value of x.

Option B) 4^x is never zero

The option is correct.

Option C) When y=0, x=0

The option is incorrect.

Option D) When x=0, y=4

When x=0 the value of y is 1.

Thus, the option is incorrect.

Option E) 4^x is zero when x=0

When x=0 the value of 4^x is 1.

Thus, the option is incorrect.

Option F) When x=0, y≠0

The option is correct as 0≠1.

3 0
3 years ago
a train travels 288km at a uniform speed.if the speed has been 4km per hour more it would have taken one hour less for the same
Lostsunrise [7]

Given:

A train travels 288 km at a uniform speed.

If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

To find:

The initial speed of the train.

Solution:

Let x km/h be the initial speed on the train.

New speed of train = (x+4) km/h

We know that,

Time=\dfrac{Distance}{Speed}

Time taken by the train initially to cover 288 km is \dfrac{288}{x} hours.

New time taken by the train to cover 288 km is \dfrac{288}{x+4} hours.

It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

\dfrac{288}{x}-\dfrac{288}{x+4}=1

\dfrac{288(x+4)-288x}{x(x+4)}=1

288x+1152-288x=x^2+4x

1152=x^2+4x

0=x^2+4x-1152

Splitting the middle term, we get

x^2+36x-32x-1152=0

x(x+36)-32(x+36)=0

(x+36)(x-32)=0

x=-36,32

We know that the speed cannot be negative. So, the only possible value of x is 32.

Therefore, the speed of the train is 32 km/h.

3 0
2 years ago
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