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2 years ago

Can you help with this? Thank you!

Mathematics

2 answers:

Gnom [1K]2 years ago

5 0

To solve for j, cross multiply:

4 x 45 = 18 x j

180 = 18j

Divide both sides by 18:

j = 10

ExtremeBDS [4]2 years ago

3 0

j=10

if you dont need an explanation dont read this:

firstly you reduce the 4/18 by 2 (<em>basically simplifying</em>) , which then becomes 2/9..

then you cross the 2 by 45 and 9 to j (<em>you multiply 2x45 and 9xj=9j</em>)

so it equals to 90=9j

then you divide both sides by 9

j=10

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After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?

jolli1 [7]

The vertex is $(-1,1)$

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The equation is $f(x)=2x^{2} +4x+3$

To find the vertex, we need the equation in the form of $f(x)=a (x-h)^{2}+k$

Dividing each term by 2 in the equation $f(x)=2x^{2} +4x+3$

$f(x)=2(x^{2} +2x+\frac{3}{2} )$

Now, completing the square by adding and subtracting 1, we get,

$f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )$

The first three terms can be written as $(x+1)^{2}$ ,

$f(x)=2[(x+1)^{2}+\frac{1}{2} ]$

Multiplying 2 into the bracket, we get,

$f(x)=2(x+1)^{2} +1$

This equation is of the form $f(x)=a (x-h)^{2}+k$

Now, we shall find the vertex $(h,k)$

Thus, $h=-1$ and $k=1$

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3 years ago