Factor: 6x^2 + 11x + 3 Write each factor in standard form.

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

8 0

The answer is: (2x+3) (3x+1)

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a tree increases in diameter each year by .51 cm. If the tree currently has a diameter of 4 inches, how old is the tree

yan [13]

This one is a little tricky because of the conversion but .51 cm converts to roughly .2 inches (actually its .200787 but we will round to .2 for ease of math). 4 in/.2in = 20

Therefore the tree is 20 years old.

Footnote 1cm is equal to .3937 inches so it would be .51cm * .3937in = .200787in

8 0

3 years ago

Which sum is equal to

Semmy [17]

Answer:

Correct choice is A

Step-by-step explanation:

Note that the denominator $x^2-25=(x-5)(x+5).$ Then rewrite the numerator $x^2+6x-5$ as $x^2+5x+x-5=x(x+5)+(x-5).$

Substitute both expression into the initial expression:

$\dfrac{x^2+6x-5}{x^2-25}=\dfrac{x(x+5)+(x-5)}{(x+5)(x-5)}=\dfrac{x(x+5)}{(x+5)(x-5)}+\dfrac{(x-5)}{(x+5)(x-5)}=\dfrac{x}{x-5}+\dfrac{1}{x+5}.$

5 0

4 years ago

Determine the range of the following graph:

astra-53 [7]

Step-by-step explanation:

Range is all possible y values a function can have. Look at the y axis. So let find the max/ min y value the function can have. The max y value is 1, and the minimum y value is -4. All the x Intervals fall between -4, and 1. Since we have solid dot we include the -4 and 1.

So the notation for this is

$- 4 \leqslant y \leqslant 1$