Answer: x < -4 and -4 > x
x < -4 would be one of the two options.
This means that any number less than -4 is a solution.
This is shown by drawing an open dot on -4 and then
drawing an arrow to the left shows all answer less tan 4.
-4 > x would be our second option.
We can change it to say x < -4.
All I did was changed the order of numbers and switched the sign.
So x < -4 is the same as the first option.
Answer:
The range is 10
Step-by-step explanation:
since it starts at 0 and goes till 9 thats 10 data points
Answer:
the linear function gives us the points
(0,3)
(4,0)
(8,-3)
find the equation
hm
find slope
(y2-y1)/(x2-x1)
for (0,3) and (4,0)
slope=(0-3)/(4-0)=-3/4
y=-3/4x+b
given
(0,3)
y=-3/4x+3
so sub -3/4x+3 for y in other equation
(-3/4x+3)^2+x^2=4
expand
9/2x^2-9/2x+9+x^2=4
11/2x^2-9/2x+9=4
times 2 both sides
11x^2-9x+18=8
minus 8 both sides
11x^2-9x+10=0
factor
or use quadratic formula
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
2a
−b+/−
b
2
−4ac
11x^2-9x+10=0
x=\frac{-(-9)+/- \sqrt{(-9)^2-4(11)(10)} }{2(11)}
2(11)
−(−9)+/−
(−9)
2
−4(11)(10)
x=\frac{9+/- \sqrt{81-440} }{22}
22
9+/−
81−440
x=\frac{9+/- \sqrt{-359} }{22}
22
9+/−
−359
we see we have no real roots
there are no intersection points
#Carry on learning
#Correct me if I'm wrong
I think it is d. the last one
To know which fraction is greater than another is to first look at the denominator
<u>example</u>
if u look at the denominator the one with the highest denominator is the smallest and then you look at the numerator to imagine if its closer to the denominator or farther away from the denominator.
