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2 years ago

This system has one solution.

Mathematics

2 answers:

lana [24]2 years ago

4 0

Answer:

y = 7

Step-by-step explanation:

VMariaS [17]2 years ago

3 0

Answer:

y=7

Step-by-step explanation:

The given system is

$y=x^2-3x+7$

and

$y=3x-2$

We equate the two equations to find their point of intersection.

$x^2-3x+7=3x-2$

$x^2-3x-3x+7+2=0$

$x^2-6x+9=0$

$(x-3)^2=0$

$x-3=0$

$x=3$

The y-coorinate is

$y=3(3)-2$

$y=9-2=7$

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Factorise fully the following:<br>a) x² + 2x<br>b) 2x² - 6x<br>c) 15x - 10x³<br>d) 9x² + 3x³

Lostsunrise [7]

Answer:

a) $x(x+2)$

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c) $5x(3-2x^2)$

d) $3x^2(3+x)$

Step-by-step explanation:

a) $x^2+2x$

When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.

In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

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It can be seen that each of these share a 2x, so our factored form would be

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The common factor of this one is 5x, so our factored form would be

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The common factor of this one is $3x^2$ , so our factored form would be

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