All categories

3 years ago

Y=3x^2+30x+81 What is the vertex of this

1 answer:

8 0

(-5,6) is the vertex.

I did this by using the vertex x coordinate Formula which is -b/2a

So in this case a=3 b=30 c=81

So if put the number in it would be
-30/2(3) = -30/6 = -5
Now that we know the x coordinate of the vertex which is -5. You plug the x of -5 into the quadratic equation to get the y.

3(-5)^2 + 30(-5) + 81=y

Simplify it

75-150+81= Y

Combine the light terms

6=y

So the coordinate points are (-5,6)

You might be interested in

Please I need help I totally forgot how to do it

Hunter-Best [27]

5n2+10n+20 Final result : 5 • (n2 + 2n + 4)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "n2" was replaced by "n^2".

Step by step solution :Skip Ad
Step 1 :Equation at the end of step 1 : (5n2 + 10n) + 20 Step 2 :Step 3 :Pulling out like terms :

3.1 Pull out like factors :

 5n2 + 10n + 20 = 5 • (n2 + 2n + 4)

Trying to factor by splitting the middle term

3.2 Factoring n2 + 2n + 4

The first term is, n2 its coefficient is 1 .
The middle term is, +2n its coefficient is 2 .
The last term, "the constant", is +4 

Step-1 : Multiply the coefficient of the first term by the constant 1 • 4 = 4

Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is 2 .

-4 + -1 = -5 -2 + -2 = -4 -1 + -4 = -5 1 + 4 = 5 2 + 2 = 4 4 + 1 = 5

5 0

3 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

3 years ago

Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. b = ∘ Two horizontal lines the top lin

andrezito [222]

Answer:

It's 79 I took the test

Stay Alive ~ T∅P I-/

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

C(x)=4x-2 and d(x)=x^(2)+5, what is (c*d)(x)

lawyer [7]

Answer:4x^3-2x^2+20x-10

Step-by-step explanation:

5 0

3 years ago

If m = 70° and m = 30°, then m 2 = 20 35 50

kotykmax [81]

Answer:

the answer is 50

6 0

4 years ago