Construct a binomial whose greatest common factor is 2x^3

1 answer:

3 0

Answer: 3

Step-by-step explanation:

Factor each coefficient into primes. Write all variables with exponents in expanded form.

List all factors—matching common factors in a column. In each column, circle the common factors.

Bring down the common factors that all expressions share.

Multiply the factors.

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labwork [276]

Answer:

Step-by-step explanation:

Because the number of tables have to be less then 140 and you have to multiply to find the number of small tables that can fit

6 0

3 years ago

Anna [14]

Answer:

5 chickens, 20 goats

Step-by-step explanation:

We can set up two equations and use substitution

There are 25 total goats and chickens, so

$G + C = 25$

Goats have 4 feet and chickens have two, so

$4G + 2C = 90\\$

By solving for G in the first equation,

$G = 25 - C\\$

We can now use substitution,

$G = 25 - C\\4G + 2C = 90\\4(25 - C) + 2C = 90\\100 - 4C + 2C = 90\\-2C = -10\\C = 5\\$

We have 5 chickens, so we have 20 goats.

Let's double check:

$5(2) + 20(4) = 90\\10 + 80 = 90\\90 = 90\\$

It checks out!

3 0

4 years ago

Oxana [17]

Using translations, it is found that the equation the represents the graphed function is:

$y = -f(x) - 3$ , given by option C.

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The parent function is $f(x) = \sqrt{x}$ .
<u>As x increases, it's value increases. In the graph, as x increases, it decreases</u>, thus it was multiplied by -1, that is, $-f(x)$ .
The parent function is defined for $x \geq 0$ , and the same is valid for the function in the graph, thus we have $f(x)$ and not $f(-x)$ .
The initial value of the parent function is $y = 0$ , here it is $y = -3$ , thus it was shifted down 3 units, that is, $y = -f(x) - 3$ , and the correct option is C.