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3 years ago

Give three examples of binomials that are NOT a difference of squares

Mathematics

1 answer:

Slav-nsk [51]3 years ago

8 0

. x2 - 25: solution . 16x4 - 100 50x2 - 72 . x2 - 25

first we check that the binomial is a difference of squares.
x2 is a perfect square, and so is 25, so yes we have a difference of squares.
the square root of x2 is x, and the square root of 25 is 5
so our answer is (x - 5)(x + 5)

16x4 - 100

16x4 is a perfect square, as is 100, so we do have a difference of squares
Here we must first factor out the common factor, if we do not our answer will not be completely factored.
Our common factor is 4, giving us 4(4x4 - 25)
the square root of 4x4 is 2x2, the square root of 25 is 5.
so our answer is 4(2x2 - 5)(2x2 + 5)50x2 - 72Here neither 50x2 nor 72 are perfect squares, but we must first take out the common factor
the common factor is 2, giving us 2(25x2 - 36)
Now both 25x2 and 36 are perfect squares so we have a difference of squares.
The square root of 25x2 is 5x and the square root of 36 is 6.
so our answer is 2(5x - 6)(5x + 6)

HOPE I HELPED

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Answer:

2b^3+5=2(3)^3+5 when b=3

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3 years ago

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2 years ago

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What is g(x)? A. g(x) = -2 B. g(x) = -x C. g(x) = -|x| D. g(x) = -x^2

Nastasia [14]

Answer:

A. g(x) = -2^x.

Step-by-step explanation:

If g(x) = -2, it would be a straight line running horizontally.

If g(x) = -x, it would be a linear equation.

If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.

So, the remaining answer is that A. g(x) = -2^x.

Hope this helps!

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3 years ago

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lawyer [7]

Answer:

7.The decimal expression for 5 rupees 5 paise is _______________________.

(1 Point)

₹ 5.5

₹ 5.005

₹ 5.05

₹ 55

Step-by-step explanation:

7.The decimal expression for 5 rupees 5 paise is _______________________.

(1 Point)

₹ 5.5

₹ 5.005

₹ 5.05

₹ 55

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3 years ago

Sean wrote the equation 9.25 = 5m, where m is the cost per pound, to show the relationship between the total cost, $9.25, and th

OLEGan [10]

<h2>Explanation:</h2>

The complete question is in a comment above. The statements says that:

Sean wrote the equation $9.25=5m$
$m$ is the cost per pound.
The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.

So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:

$y=f(x)$

From the equation we can determine $m$ as:

$m=\frac{9.25}{5}=1.85$

So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:

$\frac{y}{x}=\frac{9.25}{5} \\ \\ y=1.85x$

So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:

$\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}$

From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).

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3 years ago