9514 1404 393
Answer:
domain: (-4, -2) ∪ [-1, 4]
range: (-5, 3)
Step-by-step explanation:
<u>Domain</u>
The domain is the horizontal extent of the graph. Here, it is comprised of two intervals. The left interval is open, as the function is not defined for x-values of -4 or -2. That interval is (-4, -2). The right interval is closed, as the function is defined for both x=-1 and x=4. That interval is [-1, 4]. The domain is the union of these two intervals.
D: (-4, -2) ∪ [-1, 4]
__
<u>Range</u>
The range is the vertical extent of the graph. The left portion of the graph has a range from -5 to 3, but neither of those values is included in it. That is, the range is an open interval: (-5, 3).
The right portion of the graph has a range from 1 to 2, including both of those values. This interval is already included in the interval (-5, 3), so only one interval is needed to describe the range:
R: (-5, 3)
Let's solve your equation step-by-step.
x+6(x−1)=7(3+x)
Step 1: Simplify both sides of the equation.
x+6(x−1)=7(3+x)
x+(6)(x)+(6)(−1)=(7)(3)+(7)(x)(Distribute)
x+6x+−6=21+7x
(x+6x)+(−6)=7x+21(Combine Like Terms)
7x+−6=7x+21
7x−6=7x+21
Step 2: Subtract 7x from both sides.
7x−6−7x=7x+21−7x
−6=21
Step 3: Add 6 to both sides.
−6+6=21+6
0=27
Plug in slope and the points in y-y1=m(x-x1)
y-3=2(x-1)
BC <span>≅ EF (CPCTC)
Set the two side lengths equal to each other.
38.4 = 5x - 10.6
Isolate the x. Add 10.6 to both sides
38.4 (+10.6) = 5x - 10.6 (+10.6)
5x = 49
Isolate the x, divide 5 from both sides
5x/5 = 49/5
x = 49/5
x = 9.8
9.8 should be your answer
hope this helps</span>
Answer:
Step-by-step explanation:
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