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Lelechka [254]
3 years ago
14

Choose the correct x-intercepts for the following quadratic function.

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0
Brainly doesn't automatically "know" every part of the problems you post here; you have to ensure that your post includes everything in the original problem.

We can still have some fun with answer choice  <span>x = 1, x = 3:

An associated quadratic function would have the form y = a(x-1)(x-3).  Just supposing that the point (2, 5) were on the graph, then this   </span>y = a(x-1)(x-3) would become   5 = a(2-1)(2-3), or 5 = a(1)(-1), or 5 = -a, or a = -5.

Thus, the equation of the parabola would be y = -5(x-1)(x-3), or, in the more usual form, y = -5(x^2 - 4x + 3).

Complete the square to find the vertex:

Steal y = x^2 - 4x + 3 for a moment and complete the square:

x^2 - 4x + 3    =  x^2 - 4x + 4 - 4 + 3, or (x-2)^2  -  1

Subbing this back into    y = -5(x^2 - 4x + 3), we get

y = -5 [ (x-2)^2  -1 ], or   y = -5(x-2)^2 + 5.  This shows that the vertex is at (2, 5), that the graph opens downward, and the graph is symm. about the line x = 2.  

Having fun yet?



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allochka39001 [22]
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6 0
3 years ago
Read 2 more answers
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Angelina_Jolie [31]

Answer:

Group A, because seven children have a forearm length longer than 10 inches

Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length.  This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11

\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9

Thus proving that Group A has the longer average former length.

7 0
2 years ago
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For 3/4 of a pound of peanuts, jimmy paid $2.35. What is the unit rate (dollars per pound)?
lora16 [44]

I think its $ 3.13 I'm not positive tho

5 0
4 years ago
Suppose the radius of a circle is 2. What is its area?
Mila [183]
The area would be 12.57
Hope that helps you! :)
3 0
3 years ago
Read 2 more answers
How do you solve this? HELPPPPPPPPPPPPPP TYSMMM
aliina [53]
120/5 = x-2(x+3)
24= x^2+x-6 
subtract 24 on both sides
this is so you know where the next stuff comes from
A            b     c
(1)x^2+(1)x-30 now its quadratic ( i prefer factoring but you can apply quadratic formula to it ) 
for factoring you multiply A by c and get -30 and see what multiplies to get -30 and adds to get 1 you get -5 and 6
you set that to x-5 and x+6 (this is only if A =1 )
you get x=5 and x=-6 due to the product property (x-5=0 and x+6=0 solve for x how i got it )
your answer can be negative so x is equal to 5 
5*(5-2)*(5+3)
5*3* 8
L*W*H
width is 3 Height is 8
awnser is 8 give brainliest plox
6 0
4 years ago
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