Answer:
x= -2, x= +11
Step-by-step explanation:
I hope this is right!
To factorise, we need two numbers that add to make -9 and multiply together to make -22.
2 - 11 works, so we put it in the brackets in this order.
(x + 2) (x - 11)
so x + 2 = 0 and x - 11 =0
but we could also simplify this to say that x could be either -2 or + 11.
I hope this helps.
Have a lovely day.
Let’s call the amount of money she started with “m”.
What this problem is saying is that “taking away 39 from m is equivalent to taking 3/4 of m.” What do “taking away 39 from,” “equivalent to,” and “3/4 of” translate to mathematically?
Standard form: y = ax² + bx + c
vertex ( -b/2a , y)
this equation;
a = 2
b = 16
c = 31
so the x-coordinate of the vertex is ...
= -16/2(2)
= -16/4
= -4
Use the x-coordiante to find the vertex y-ccordinate
y = 2(-4)² + 16(-4) + 31
y = 32 - 64 + 31
y = -1
Vertex is (-4, -1)
do a rough sketch of the graph using the location of the vertex. "a" is positive so the parabola is right-side up.
Type the equation into https://www.desmos.com/calculator
if you have trouble still
I don't have any pictures of graphs but a function that has a range of (2, infinity) means that hte lowers point (lowest y-value) is 2, and the height function keeps increasing (the y-value keeps increasing) to infinity.
the end behavior is that it goes positive and both ends (we look at x^4 ) and put in -inf and + inf and get +inf both times)
to get the y intercept let x=0 y intercept =144
to find the x intercepts we factor and find the zeros
using graphing technology we plot the function
we look at the ends of the graph if it goes down it goes to - inf, if it goes up it goes to + inf
the y intercept is where x=0
there x intercepts are where it crosses the x axis on the plot (there should be 4 unless some are imaginary)