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2 years ago

Write in vertex form f(x)=x^2+12x+34

Mathematics

1 answer:

svp [43]2 years ago

8 0

Answer:

(-6, -2)

Step-by-step explanation:

$f(x) = {x}^{2} + 12x + 34$

$= f(x) = {1x}^{2} + 12x + 34$

= a = 1, b = 12

$= x = - \frac{12}{2 \times 1}$

$= x = - \frac{12}{2}$

= x = -6

$= f(x) = {x}^{2} + 12x + 34.. = - 6$

$= f( - 6) = - 2$

= (-6, -2)

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What is the difference? startfraction 2 x 5 over x squared minus 3 x endfraction minus startfraction 3 x 5 over x cubed minus 9

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The difference of the expression $\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}$ is $\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}$

<h3>How to determine the difference?</h3>

The expression is given as:

$\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}$

Factor the denominators of the expressions:

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Apply the difference of two squares to x² - 9

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Take LCM

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1 year ago

Help on the second graph

Deffense [45]

Answer:

<u>first graph:</u>

function.

Not one-one

onto

<u>Second graph:</u>

Function

one-one

not onto.

Step-by-step explanation:

We know that a graph is a function if any vertical line parallel to the y-axis should intersect the curve exactly once.

A graph is one-one if any horizontal line parallel to the x-axis or domain should intersect the curve atmost once.

and it is onto if any horizontal line parallel to the domain should intersect the curve atleast once.

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if we draw a vertical line parallel to the y-axis then it will intersect the graph exactly once. Hence, the graph is a function.

But it is not one-one since any horizontal line parallel to the domain will intersect the curve more than once.

But it is onto, since any horizontal line parallel to the domain will intersect the curve atleast once.

<u>Second graph</u>

It is a function since any vertical line parallel to the co-domain will intersect the curve exactly once.

It is not one-one since any horizontal line parallel to the x-axis does not intersect the graph atmost once.

It is not onto, since any horizontal line parallel to the domain will not intersect the curve atleast once.

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