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Orlov [11]
3 years ago
13

Write the quadratic question f(x)=3x^2-24x+49 in the form of f(x)= a(x-h)^2+k

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer:

f(x) = 3(x -4)^2 +1

Step-by-step explanation:

Usually you start by factoring the leading coefficient from the first two terms:

f(x) = 3(x^2 -8x) +49

Now, you add the square of half the x-coefficient inside parentheses, and subtract the same quantity outside.

f(x) = 3(x^2 -8x +(-4)^2) -3(-4)^2 +49

= 3(x -4)^2 -48 +49

f(x) = 3(x -4)^2 +1 . . . . . . . . the vertex form you desire

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astraxan [27]
Your average rate of change for the interval is 3/2 or 1.5, so that should be your answer.
6 0
3 years ago
Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus
aliya0001 [1]
What grade is this? I can get the answer of it but I forgot how
3 0
3 years ago
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Need to solve for Y by filling in the blanks<br>(y +44)°, 86, (3y)°​
lapo4ka [179]
Answer:

1.89

Solution:

We have -44x - 86 = -3

First, we move the non x terms to the RHS of the equation. To do this, we add 86 to both sides.

Note: if a = b, then a + c = b + c
Therefore, -44x - 86 + 86 = -3 + 86

or, -44x = 83

Next, divide both sides by -44, which is the coefficent of x

Note: if a = b, then a ÷ c = b ÷ c
-44x
-44
=
83
-44

or, x = -1.89


Explaination:

This is right I guess
4 0
3 years ago
4. Stella says the equation x^2−8x+y^2+2y=5 has a center of (4,−1) and a radius of 5. Is she correct? Why or why not?
Ostrovityanka [42]
<h2>Stella is correct about center and wrong about radius      </h2>

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

          (x-h)²+(y-k)² = r²

Here equation is

          x²−8x+y²+2y=5

Changing in to (x-h)²+(y-k)² = r² form

           x²−8x + 16 - 16 +y²+2y+1 - 1=5  

           (x-4)² - 16 + (y+1)² -1 = 5

           (x-4)²  + (y+1)²  = 22

           (x-4)²  + (y+1)²  = 4.69²

           Center is (4,-1) and radius is 4.69

Stella is correct about center and wrong about radius            

8 0
3 years ago
What’s the answer to this!!!
aliina [53]

Answer:

8.54

Step-by-step explanation:

5 0
3 years ago
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