Answer:
4063/1274
Step-by-step explanation:
I suggest using photo math app after update it has improved
We have been given graph of a downward opening parabola with vertex at point
. We are asked to write equation of the parabola in standard form.
We know that equation of parabola in standard form is
.
We will write our equation in vertex form and then convert it into standard form.
Vertex for of parabola is
, where point (h,k) represents vertex of parabola and a represents leading coefficient.
Since our parabola is downward opening so leading coefficient will be negative.
Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:




Divide both sides by 
So our equation in vertex form would be
.
Let us convert it in standard from.



Therefore, the equation of function is standard form would be
.
Answer:
A. x=6 B. x=4.5 C. x-35 D. x=13
Step-by-step explanation:
For A and B, divide the numbers you have. For C and D, multiply the numbers you have.
Answer:
Yes
Step-by-step explanation:
Given that In my data set of 10 exam scores, the mean turned out to be the score of the person with the third highest grade.
No two people got the same score.
Let the scores be a,b,c,d,e in ascending order where no two scores are equal
If a+b=d+e =2c then we can have c as the mean of the scores of 5 persons
This is because
Total sum = a+b+c+d+e = (a+b)+c+(d+e)
= 2c+c+2c=5c
Average= 5c/5 = c
It makes sense and there are chances as long as the above condition is satisfied.
Answer:
C
Step-by-step explanation:
Given 2 secants intersect a circle from a point outside the circle, then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 10 + x) = 6(6 + 10 + x)
x(2x + 10) = 6(16 + x) ← distribute parenthesis on both sides
2x² + 10x = 96 + 6x ← subtract 96 + 6x from both sides
2x² + 4x - 96 = 0 ← in standard form
Divide through by 2
x² + 2x - 48 = 0 ← factor the left side
(x + 8)(x - 6) = 0
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
However x > 0 ⇒ x = 6 → C