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tatiyna
3 years ago
9

Which table of values can be represented by the function y=x+4 ?

Mathematics
1 answer:
ozzi3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

The given function is y=x+4

To create a table we choose some values of x and plug it into the function and solve for y.

When x=-1, y=-1+4=3

When x=0 y=0+4

When x=1, y=4+1=5

When x=2, y=6

The table looks like;

x     y

-1      3

0       4

1        5

2         6

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A. (-3,-6)

Step-by-step explanation:

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The vertices of a triangle are A(0,3) B(-2,-4) and C(1,5) find the new vertices
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Step-by-step explanation:

Using the translation rule (x, y ) → (x - 2, y + 4 )

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3 years ago
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4 years ago
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4 years ago
The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
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