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Temka [501]
1 year ago
7

4x^2 - y^2 - 2x- y Factorise each of the following expressions completely

Mathematics
1 answer:
Sergeu [11.5K]1 year ago
3 0

Answer:

(2x + y)(2x - y - 1)

Step-by-step explanation:

4x² - y² - 2x - y

4x² - y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4x² - y²

= (2x)² - y²

= (2x - y)(2x + y)

expression is now

(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term

= (2x + y)(2x - y - 1)

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Simplify this equation<br> -5x+7&gt;22
Lana71 [14]

Answer:

<h2>x < - 3</h2>

Step-by-step explanation:

- 5x + 7 > 22

Move 7 to the other side of the inequality

- 5x > 22 - 7 \\  - 5x > 15

Divide both sides by - 5

\frac{ - 5x}{5}  >  -  \frac{15}{5}  \\ x >  - 3

Reverse the sign

We have the final answer as

<h3>x < - 3</h3>

Hope this helps you

4 0
2 years ago
Sketch the graph of each line y=-9x-5
ycow [4]
I can’t answer it without a picture of the graph
5 0
3 years ago
Quadratics need help making parabola
timama [110]

Answer:

The equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4, whose real vertex is (x,y) = (2, -5.333), not (x,y) = (2, -5).

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

(x_{1}, y_{1}) = (-2, 0), (x_{2}, y_{2}) = (6, 0), (x_{3}, y_{3}) = (0, -4)

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

4\cdot a -2\cdot b + c = 0 (1)

36\cdot a + 6\cdot b + c = 0 (2)

c = -4 (3)

The solution of this system is: a = \frac{1}{3}, b = - \frac{4}{3}, c = -4. Hence, the equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4. Lastly, we must check if (x,y) = (2, -5) belongs to the function. If we know that x = 2, then the value of y is:

y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4

y = -5.333

(x,y) = (2, -5) does not belong to the function, the real point is (x,y) = (2, -5.333).

5 0
2 years ago
7^2+7^7 answer in exponential form
Helen [10]
It could also be 8.23592 x 10 ^ 5

5 0
2 years ago
Please help, need answer ASAP!!
salantis [7]
It should be all real numbers
7 0
3 years ago
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