Rearrange the quadration equation so that it is equal to 0. Then factor the equation.

Please help asap!! Read carefully

ale4655 [162]

Answer:

one x-intercept.

Transformation: shift to the right 8 units.

Step-by-step explanation:

The parent function is $f(t)=t^{2}$

To find the number of x-intercepts, we equate the function to zero.

$\implies t^{2}=0$

$\implies t=0$

There is only one x-intercept at t=0.

The transformed function is

$g(t)=(t-8)^2$

This function is obtained shifting the parent function 8 units to the right.

The x-intercept will now be at t=8.

Hence the image function also has one x-intercept.

7 0

3 years ago

A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs

Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

$\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}$

We know, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

According to the question,

$\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}$

Taking LCM and 6 common

$6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}$

Take 6 to another side,

$\frac{9}{9x-x^2}=\frac{8}{3\times 6}$

Cross multiply,

$9\times 18=8\times(9x-x^2)$

$162=72x-8x^2$

Taking 4 common and cancel out

$4x^2-36x+81=0$

Solve quadratic equation by middle term split,

$4x^2-18x-18x+81=0$

$2x(2x-9)-9(2x-9)=0$

$(2x-9)(2x-9)=0$

$\Rightarrow 2x-9=0$

$\Rightarrow x=\frac{9}{2}=4.5$

Therefore, The speed of the river's current is 4.5 km/hr.

6 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

postnew [5]

I cannot help you with the first draging part since it needs to be done form your device.

But I can help you with the expression. Anything to the power of 0 power is equal to 1. Therefore:

$2^{0} = 1$

Hope it helped,

BioTeacher101

7 0

3 years ago

2x + 7 + 6x - x what is equivalent to

Anna007 [38]

Answer:

x=1

Step-by-step explanation:

2x+6x-x=7

7x=7

x=1

...............

5 0

3 years ago

A factory increased its production by 22.5% and produced 4900 tonnes .How many tonnes was it producing before?

Liono4ka [1.6K]

Answer:

It produced 3797.5 tons before.

22.5% of 4900 is 1102.5

That subtracted from 4900 is 3797.5 tons

7 0

3 years ago

Read 2 more answers