MATHEMATICS HIGH SCHOOL

Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20?-5-1/2 = -3
-10-2/2 = -4
1+5/2 = 3
2+10/2 = 4

Answers

Answer 1
Answer: To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20

It has to be equated to zero and the values of x are the x-intercepts. So,
4x2 – 24x + 20 = 0
The resulting equation is a quadratic equation which can be solved by different methods. The solution is
x = 5, 1
The average therefore is:
(1+5/)2 = 3
Answer 2
Answer:

There can only be two definite x-intercepts, so your goal it to find 2 numbers of x that, when plugged into the equation, give you the answer of 0. 1 is the first x-intercept(4-24+20 equals 0). The second one is 5 (100-120+20 equals 0). So the average is 3, so the axis of symmetry is 3 since 5+1=6, and 6/2=3

Honestly, there is an easier way to find the axis of symmetry. the equation would be -b/2a, where as b is the coefficient in the second part of the equation, while a is the first coefficient in the equation. -(-24) is 24, and 4*2=8, so 24/8=3

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For the coordinates of P and M (the midpoint) are given. Find the coordinates for Q.P(-2, 3) and M (5, 1)

Answers

Given an endpoint and a midpoint, to look for the other endpoint, the midpoint formula is merely manipulated. The average of the x-coordinates for P and Q have to equate to the x-coordinate of M. The same is applied to the y-coordinates. This is shown below:

X-coordinates:

(-2 + Qx)/2 = 5
(-2 + Qx) = 10

Qx = 12

Y-coordinates:

(3 + Qy)/2 = 1
3 + Qy = 2

Qy = -1

Therefore, Q has the coordinates (12 , -1)

"The area of a rectangle is X^2 + 12XY + 27Y^2, and its length is (X + 9Y). Find the breadth of the rectangle."

Answers

Answer:

Hi,

Step-by-step explanation:

Let's factorize the area:

x^2+12xy+27y^2\n=x^2+3xy+9xy+27y^2\n=x(x+3y)+9y(x+3y)\n=(x+3y)(x+9y)\n

The breadth of the rectangle is x+3y

rohit marks his goods at 40% above the cost price but allows a discount of 5% on cash payment to his customers. What actual profit does he make if he recieves rs 1064 after allowing the discount?

Answers

Goods are marked 40% above cost price but 5% discount is given.
Therefore, total profit = (40 - 5)%
                               = 35%
  Let the cost price be 'x.'
So, (35% of x) + x = 1064
       ((35)/(100)*x) + x = 1064
       (7x)/(20) + x = 1064
        (7x)/(20) + (20x)/(20) = 1064
        (27x)/(20) = 1064
   Therefore:
                 27x = 1064*20
                 27x = 21,280
                    x = (21280)/(27)
                    x = Rupees 788.14
Cost price is Rs. 788.14
     Profit = 35% of 788.14
        (35)/(100)*788.14
       Total profit = Rupees 275.849 

ANYONE CAN HELP ME WITH THESE QUESTIONS PLEASE ASAP

Answers

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Step-by-step explanation:

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Answers

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brainly.com/question/16128664

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