All categories

3 years ago

The function f(x) = 3x² + 12x +11 can be written in

Mathematics

1 answer:

Viktor [21]3 years ago

6 0

Answer:

3) f(x) = 3(x + 2)^2 - 1.

Step-by-step explanation:

f(x) = 3x² + 12x +11

f(x) = 3(x^2 + 4x) + 11 Completing the square:

f(x) = 3[(x + 2)^2 - 4] + 11

f(x) = 3(x + 2)^2 -+3*-4 + 11

f(x) = 3(x + 2)^2 - 12 + 11

f(x) = 3(x + 2)^2 - 1.

You might be interested in

Rewrite 6√2 in the simplest form

mylen [45]

6<span>√2 is already in it's simplest form as a radical.

</span>

5 0

3 years ago

Can I get help finding the value of m and n

Marina86 [1]

9514 1404 393

Answer:

m = 35

n = 110

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

n° = 180° -70°

n = 110

Opposite angles in a parallelogram are congruent.

2m° = 70°

m = 35 . . . . . . divide by 2°

4 0

2 years ago

A box of the Tic Tacs contains 44 of the 1 1/2- calorie flavored breath mints. How many calories are there in a box of Tic Tacs?

masya89 [10]

Answer:

forty-four times 1.5 equals 66

6 0

2 years ago

The roots of $3x^2 - 4x + 15 = 0$ are the same as the roots of $x^2 + bx + c = 0,$ for some constants $b$ and $c.$ Find the orde

Akimi4 [234]

we are given

quadratic equation as

$3x^2-4x+15=0$

now, we can find b and c from

$x^2+bx+c=0$

we can see that coefficient of x^2 is 1

so, we will have to make coefficient x^2 as 1

so, we divide both sides by 3

$3x^2-4x+15=0$

$\frac{3x^2-4x+15}{3}= \frac{0}{3}$

$\frac{3x^2}{3}-\frac{4x}{3}+\frac{15}{3}= \frac{0}{3}$

now, we can simplify it

$x^2-\frac{4}{3}x+5= 0$

now, we can compare it with

$x^2+bx+c=0$

we get

$b=-\frac{4}{3}$

$c=5$

so, we get order pair as

$(b,c)=(-\frac{4}{3} , 5)$ ..............Answer

6 0

3 years ago

Read 2 more answers

At a video store, movie rentals are $4 and game rentals are $6.Let x be the number of movies rented. Let y be the number of game

Misha Larkins [42]

Answer:

x int = 60

y int = 40

Step-by-step explanation:

x int means the maximum amount of games sold

y int means the maximum amount of movies rented

6 0

3 years ago