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Mama L [17]
2 years ago
14

The product of a binomial and trinomial is x^3+3x^2-x+2x^2+6x-2 which expression is equivalent to this product after it has been

fully simplified?

Mathematics
1 answer:
Debora [2.8K]2 years ago
9 0

Answer: First option.

Step-by-step explanation:

You know that the product obtained by multiplying a binomial and a trinomial is:

x^3+3x^2-x+2x^2+6x-2

Then, in order to simplify this product, it is necessary to add the like terms.

Therefore, the expression that is equivalent to this product after it has been fully simplified is:

 =x^3+(3x^2+2x^2)+(6x-x)-2\\\\=x^3+5x^2+5x-2

You can  observe that this matches with the first option.

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Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (1, 5).
Lesechka [4]

Answer:

4x-y+1=0

Step-by-step explanation:

here,given equation of a line id

4x-y-2=0.. eqn(i)

equation of any line parallel to line (i) is

4x-y+k=0...eqn(ii)

since, the line(ii) passes through (1,5)[replacing x=1 and y=5 in eqn(ii), we get]

4*1-5+k=0

or, 4-5+k=0

or,-1+k=0

•°•k=1

substituting the value of k=1 in eqn(ii),

4x-y+1=0 is the required equation of the line.

4 0
3 years ago
PLEASE HELP
elixir [45]

Answer:

Ratio states that it shows the relative sizes of two or more values.

i,e a to b or a: b or \frac{a}{b}

(1)

Given the statement: A zoo has 17 monkeys and 12 chimpanzees

Write this situation in three ways, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

17 to 12

17 : 12

\frac{17}{12} or we can write this as 17 over 12.

therefore, Option B is correct.

(2)

As per the statement: In Largo City, about one in every nine homes contains four televisions

Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

4 to 9

4 : 9

\frac{4}{9}

therefore, only options C is correct.

(3)

write three ratios for 7 over 35

By definition of ratio;

We have;

\frac{7}{35}

Divide both numerator and denominator by 7 we have;

\frac{1}{5}               .....[A]

⇒ \frac{7}{35} =\frac{1}{5}

Multiply both numerator and denominator by 2 in A we get;

\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{1}{10}

Similarly,

Multiply both numerator and denominator by 3 in A, we get

\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}

Therefore, 3 ratios equal to  7 over 35 are;

\frac{1}{5} or we can write it as one-fifth

\frac{2}{10} or two -tenths

\frac{3}{15} or three over fifteen

hence, Option D is correct.

(4)

Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets

Number of ticket Jake sold = 28 ticket.

Number of ticket Jeanne sold = 21 ticket.

To find: Number of ticket Jeanne sold to number of ticket Jake sold.

By definition of ratio

⇒\frac{21}{28}

Therefore, the ratio in simplest form is, \frac{21}{28}


6 0
3 years ago
Read 2 more answers
Evaluate <br><br> 0.4x + 6.1 for x = -5
Law Incorporation [45]

Answer:

the answer is 4.1

Step-by-step explanation:

use mathwa or cynmath next time for a quicker answer

4 0
3 years ago
Evaluate the function when x=1 f(x) = 1/2x -1
lesantik [10]

Answer:

1/2

Step-by-step explanation:

1/2*1*1= 1/2

5 0
3 years ago
What is the range of the given function?
asambeis [7]

Answer:

{y | y = –7, –1, 0, 9}

Choice B is correct

Step-by-step explanation:

The range of a function y = f(x) refers to the set of y - values for all values of x for which the function is real and defined.

The set of y values from the given table is;

–7, –1, 0, 9

Therefore, the range of the given function is;

{y | y = –7, –1, 0, 9}

8 0
3 years ago
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