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Inga [223]
2 years ago
8

What is the vertex of the graph of the function below? y = x2 - 8x + 12 A. (-2, 0) B. (-4, -4) C. (-4, 0) D. (-2, -4)

Mathematics
1 answer:
mario62 [17]2 years ago
7 0
To find the vertex of the parabola, we need to write it in a vertex form.

y=x² - 8x +12 

1) complete the square

y=x² - 8x +12 
y = x² -2*4x + 4² - 4² +12
y=(x-4)²  -16 +12

2) calculate and write a vertex
y=(x-4)²  -16 +12
 y=(x-4)²  - 4

(x-4)           -----     x- coordinate of the vertex x=4
 y=(x-4)²  - 4    -------y- coordinate of the vertex  y = -   4 
  
Vertex is (4, -4).
Answer is (4, -4).  No correct answer is given in choices. 

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Find the slope-intercept form of the equation of the line through the point (0, -4) and (1, 0).
Arisa [49]

Answer:

The Slope Intercept form of the equation through the point (0, -4) and

(1, 0)  is  y = 4 x - 1

Step-by-step explanation:

Here, the given points are A (0,-4) and B(1,0)

Now, slope of the equation with points (a,b) and (c,d) is given as

m = \frac{d - b}{c -a}

So, here the slope of the line AB is given as:

m = \frac{0 - (-4)}{1-0} = \frac{4}{1}  = 4

⇒ m = 4

Now, by POINT SLOPE  form:

The equation with slope m and point  (x0 , y0) is represented as :

(y-y0)  = m (x-x0)

⇒ The equation of AB is of the form with point (1,0) is

y - 0 = 4 (x -1)

or, y = 4 x - 1

Also, the SLOPE INTERCEPT form of an equation is of the form

y = m x + C ;     m = slope and C =  y -intercept

Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0)  is  y = 4 x - 1

4 0
3 years ago
a pumpkin pie is made in a pie pan measuring 9 inches in diameter. it is cut into 8 equal slices. what is the length of the crus
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3 years ago
Pls help again I’ll give out brainliest please dont answer if you dont know
Vladimir [108]

Answer:

I think the closest would be 41.5%

Step-by-step explanation:

If you take the number of passengers left on the plane and divide by the total number of passengers that were on the plane in the beginning, you would get 58.5%. That's the % of how many people are left on the plane. So, you would then do 100%-58.5% to get the answer 41.5%. Hope this helps! :)

8 0
2 years ago
What is the difference between -4 and 6?
KATRIN_1 [288]

Answer:

10

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
WILL MARK BRAINLYEST<br> ❤️❤️❤️❤️❤️❤️
Valentin [98]

Answer:

$108.19

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3.6%/100 = 0.036 per year.

Solving our equation:

P = 119.88 / ( 1 + (0.036 × 3)) = 108.19494584838

P = $108.19

The principal investment required to get a total amount, principal plus interest, of $119.88 from simple interest at a rate of 3.6% per year for 3 years is $108.19.

Hope this helps!

6 0
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