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lukranit [14]
3 years ago
12

The function g(x) = x2 is transformed to obtain function h: h(x) = g(x + 1).

Mathematics
1 answer:
Anika [276]3 years ago
5 0

Good evening ,

Answer:

We just transform the g graph using a translation of vector (-i)

Step-by-step explanation:

Look at the photo below for the graphs.

:)

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What is an equivalent expression to 3^5?
Roman55 [17]

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Step-by-step explanation:

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If -1 is one of the zeroes of py 3x^3-5x^2-11x-3 find other zeroes
katrin2010 [14]

Given:

The function is:

y=3x^3-5x^2-11x-3

It is given that -1 is a zero of the given function.

To find:

The other zeroes of the given function.

Solution:

If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.

It is given that -1 is a zero of the given function. So, (x+1) is a factor of the given function.

We have,

y=3x^3-5x^2-11x-3

Split the middle terms in such a way so that we get (x+1) as a factor.

y=3x^3+3x^2-8x^2-8x-3x-3

y=3x^2(x+1)-8x(x+1)-3(x+1)

y=(x+1)(3x^2-8x-3)

Again splitting the middle term, we get

y=(x+1)(3x^2-9x+x-3)

y=(x+1)(3x(x-3)+1(x-3))

y=(x+1)(3x+1)(x-3)

For zeroes, y=0.

(x+1)(3x+1)(x-3)=0

(x+1)=0 and 3x+1=0 and x-3=0

x=-1 and x=-\dfrac{1}{3} and x=3

Therefore, the other two zeroes of the given function are -\dfrac{1}{3} and 3.

3 0
2 years ago
The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm cubed of water.Find the percent of the c
Helen [10]

Answer:

In 3 seconds the cup is filled with 105\ cm^3<u>.</u>

Step-by-step explanation:

Given:

2 seconds = 70\ cm^3 water

We need to find the percent of the cup that is filled with water after 3 seconds.

Solution:

Now Given:

The cup was filled at a constant rate.

First we will find the volume of water filled in the cup after 1 seconds.

2 seconds = 70\ cm^3 water

1 seconds = Volume of water filled in 1 second.

By Using Unitary method we get;

Volume of water filled in 1 second = \frac{70}{2}= 35\ cm^3

Now we will find the volume of water filled in the cup after 3 seconds.

1 second = 35\ cm^3 of water is filled

3 seconds = volume of water filled in the cup after 3 seconds

Again by using Unitary method we get;

volume of water filled in the cup after 3 seconds = 35 \times 3 = 105\ cm^3

Hence In 3 seconds the cup is filled with 105\ cm^3.

To find the percent of the cup filled with water after 3 seconds we would required the dimensions of the cup which is not available in the question.

6 0
3 years ago
Please help and will give brainliest.
valkas [14]

Answer:

The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was

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The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was

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