Answer:
get the inequality first ! x<44
Step-by-step explanation:
3/4x+8<41 ( subtract 8 from both sides. 8 cancels out. and 41-8=33 )
3/4x<33 ( multiply both sides by 4/3)
3/4 ×4/3 = 1
33×33 =44
x<44
and to graph it your line should have a open circle on 44 and point to the left.
kinda like this:
<—————○
Hopefully you know that the parentheses indicate that you should multiply the numbers. It really doesn’t matter what order you do it in because the answer will be the same no matter what. I would just multiply them however is simplest for you. I first did (-3)(+1)=-3 because multiplying anything by +1 will always stay the same. Next multiply (-3)(-2)=6. This is because 2x3=6 and a negative times a negative is always a positive. Next (6)(-14)=-84 because multiplying a positive by a negative always gets you a negative number. The answer is -84
Answer: x=20
Step-by-step explanation:
the following angles are supplementary so they will add up to equal 180
4x+21 +2x +39=180
step 1 combine like terms
6x+60=180
step 2 subtract 60 from each side
6x=120
step 3 divide each side by 6
x=20
Answer:
9000000001
Step-by-step explanation:
.....................
Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)