Answer:
Step-by-step explanation:
x-intercepts are when the curve intercepts the x-axis, so when y =0.
Therefore, to find the x-intercepts, substitute y = 0 and solve for x.
The vertex is the turning point: the minimum point of a parabola that opens upward, and the maximum point of the parabola that opens downward. As a parabola is symmetrical, the x-coordinate of the vertex is the midpoint of the x-intercepts.
Equation: 
Therefore, the x-intercepts are x = 0 and x = 2
The midpoint of the x-intercepts is x = 1, so the x-coordinate of the vertex is x = 1
Equation: 
Therefore, the x-intercepts are x = -5 and x = 4
The midpoint of the x-intercepts is x = -0.5, so the x-coordinate of the vertex is x = -0.5
Equation: 
Therefore, the x-intercepts are x = 0 and x = 3
The midpoint of the x-intercepts is x = 1.5, so the x-coordinate of the vertex is x = 1.5
–(x^2–2x+12) would become –x^2+2x–12.
3x^2+9x+13 – x^2+2x–12
= 2x^2 + 11x – 1
Answer:
The answer to your question is x = 4
C=p(t+30)
Let’s substitute in our values...
c=2(245+30)
Get the sum of what we have in parentheses...
c=2(275)
And finally
c=550
The first step in solving the inequality is to distribute –4 to get -8x + 4 > 5 - 3x
<em><u>Solution:</u></em>
Given inequality is:
The first step in solving the inequality is to distribute -4 to terms inside the bracket in left side of equation
This is done according to BODMAS rule
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
Thus in given inequality, brackets has to solved first
This is done by using distributive property
a(b + c) = ab + bc
Therefore,
Thus, the inequality becomes,
Thus solution to given inequality is found
