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4 years ago

Factorisation

Mathematics

1 answer:

valkas [14]4 years ago

7 0

-5^3-4^3= -125-64= -189

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Y=–6x 2–12x – 2y=–4how many solutions does this linear system have?

MariettaO [177]

I think it would be 2 soulutions

7 0

4 years ago

Which graph represents a line with a slope of -2/3

sertanlavr [38]

Answer:

$y=-\frac{2}{3} x-2$

Step-by-step explanation:

the general equation for a line is:

$y=mx+b$

where $m$ is the slope of the line, and $b$ is the y-intercept.

Since we need a slope of -2/3:

$m=-\frac{2}{3}$ ,

So far we have that the line must have the equation:

$y=-\frac{2}{3} x+b$

the graph of a line with a negative slope is one that "falls" from left to right in the plane. And the number $\frac{2}{3}$ means that it falls at a ratio of 2 units in the y-axis for every 3 in the x-axis.

we are told that the y-intercept is that of the line:

$y=\frac{2}{3} x-2$ --> here the y-intercept is -2.

Thus the equation of the line we are looking for is:

$y=-\frac{2}{3} x-2$

which means that this line crosses the y-axis at -2, and the graph is the one in the attached image.

6 0

3 years ago

99 points

Scrat [10]

$l \ equal \ 3m \\\\ therefore, 6 *L^2=6*3^2 = (6*9)$

$((6*9)) = 54m^2$

<span>27 m²
30 m²
36 m²
54 m²</span>

3 0

4 years ago

Read 2 more answers

Which expression is equal to (f · g)(x)?

CaHeK987 [17]

Answer:

Step-by-step explanation:

Note that

x² + 12x + 36 is a perfect square → (x + 6)², hence

$\sqrt{x^2+12x+36}$ = $\sqrt{(x+6)^2}$ = (x + 6)

Hence

f(x) × g(x)

= (x + 6)(x³ - 11)

= $x^{4}$ - 11x + 6x³ - 66

= $x^{4}$ + 6x³ - 11x - 66 → A

4 0

3 years ago

Find the general solution of<br>dy/dx + 2y =6

Marianna [84]

Answer:

ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C

Step-by-step explanation:

dy/dx + 2y = 6

This is a first order linear ODE.

p(x) = 2

Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)

e^(2x)(dy/dx + 2y) = 6e^(2x)

e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx

Integrate both sides of the equation.

ye^(2x) = 3e^(2x) + C

Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.

7 0

3 years ago