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3 years ago

Express the product of (2x– 1) and ( 1/2x -2/3) as a trinomial in simplest form.

Mathematics

1 answer:

deff fn [24]3 years ago

5 0

Answer:

Solution given:

the product of (2x– 1) and ( 1/2x -2/3)

:(2x-1)(½x-⅔)
2x(½x-⅔)-1×(½x-⅔)
x²-4/3 x-½x+⅔
x²-½x-4/3+⅔
x²-½x-[4-2]/3
x²-½x-⅔ is a required answer.

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Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.

Oduvanchick [21]

First, to shift the graph of $y=x$ 1 unit to the right, so $y=x-1$
Second, to shift the graph of $y=x-1$ 4 units to the left, so $y=x-1+4$

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

$Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:$

$\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c$

$\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)$

In this case, we have the graph of:

$y=x$

And we need to translate it to make it the graph of:

$y=x-1+4$

According to our rules we need:

First, to shift the graph of $y=x$ 1 unit to the right, so $y=x-1$
Second, to shift the graph of $y=x-1$ 4 units to the left, so $y=x-1+4$

But $y=x-1+4$ is the same as $y=x+3$ , so the previous steps can be simplified as:

Shifting the graph of $y=x$ 3 unit to the left.

Below are shown those graphs:

The blue one is $y=x$
The red one is $y=x-1+4$

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0

3 years ago

If i have 4 cookies and 8 friends, what part of a cookie will each friend get?

kaheart [24]

Hey there

the answer is

if there are 4 and 8 people

split each cookie so that everyone will get a half :)

thank you

OFFICIALLYSAVAGE2003

3 0

3 years ago

So if I buy something for $36.97 and the and buy something else for $9.48 what will be the Total all Together?

Paul [167]

Answer:

36.97+9.48

=$46.45

Step-by-step explanation:

hope it helps

5 0

3 years ago

Read 2 more answers

There are 200 students in the 8th grade class at Alleghany Middle School. Of these students, 8% play basketball and 14% play soc

sergeinik [125]

Answer:

The probability that a student plays either basketball or soccer is 19% or 0.19.

Step-by-step explanation:

Let A be the event that student play basketball and B be the event that student play soccer.

$P(A)=8\%$

$P(B)=14\%$

It is given that 6 students play on both teams.

$P(A\cap B)=\frac{6}{200}\times 100=3\%$

We have to find the probability that a student plays either basketball or soccer.

$P(A\cup B)=P(A)+P(B)-(A\cap B)$

$P(A\cup B)=8\%+14\%-3\%$

$P(A\cup B)=19\%$

Therefore the probability that a student plays either basketball or soccer is 19% or 0.19.

6 0

4 years ago

Least to greatest 2.3 2 4/5 2.6

Volgvan

2.3 is smaller than 2.6: we can see it just by looking at the digits from left to right.

now, where does 2 $\frac{4}{5}$ stand?

its fraction part is equal to

$\frac{4*2}{5*2}= \frac{8}{10}$

do that means that 2 $\frac{4}{5}$ =2.8

which is bigger than 2.6

so the final order is

2.3 2.6 2 $\frac{4}{5}$

5 0

3 years ago