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lord [1]
3 years ago
10

Factorise: x^{2}+7x+6

Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Step-by-step explanation:

x²+7x+6

x²+6x+x+6

x(x+6)+1(x+6)

(x+1)(x+6)

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Describe in words the region of R3 reperesented by the equations or inequalities x=z
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Answer:

The equation x=z in the space, will be the Identity straight line on the plane xz, inside the R³ space for all y values. This represents an infinite plane.

Step-by-step explanation:

First we must know that R³ mathematically means that we have three straight lines of real numbers, disposed as a cartesian system, this means that it represents a space of 3 dimensions.

Then, as the equation is x=z, this means that <em>all points where x=z will form a straight line</em>, and this straight line will "live" in the xz plane, for all values of y, as it is not restricted in the problem.

Finally, <u>the equation x=z represents an Identity straight line on the plane xz</u>, to imagine this, put numbers into the equation, then you will have for example that x=1=z=1 (which is the point (1, 1) in the plane xz, and (1, 0, 1) in the space R³). If you replace the infinite points, you will get the Identity straight line in the plane xz, and represented inside the space R³ for all values of y, which finally represents an infinite plane.

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Lunna [17]

Answer:

y = 1/5 or y = 0.2

Step-by-step explanation:

15y +3= 6\\15y+3-3=6-3\leftarrow \text {Subtraction Property of Equality} \\15y=3\\\\\frac{15y}{15} =\frac{3}{15} \leftarrow \text {Divsion Property of Equality}\\

y=\frac{3}{15}\\\frac{3/3}{15/3} = \frac{1}{5} \leftarrow \text {Simplifying the Answer}\\\boxed{y=\frac{1}{5}}

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