The factoring: (x+2) (x+3) (x-3)
zeros: x=-2,-3,3
so when we add to the function outside of the parentheses of (x)^3, we are moving the graph in the up down direction so it would look like x^3 but shifted up 2 units. the way to easily know which one it is, plug in zero for x in the original and 0^3 is zero so we know the original fuction will go through the origin so the function who's center is is only shifted up (because it's positive 2) two units so graph 1
note: the reason i know that what looks like a center point is actually at the origin is because f(x)= x^3 is a very famous graph that you should know the shape of :)
Exponential function is <span>a function whose value is a constant raised to the power of the argument, especially the function where the constant is </span>e<span>. The function given y=-3x^5 cannot be considered as an exponential function. Instead, it is a polynomial function with a degree of 5. Hope this answers the question.</span>
17. RQ is the same as PS.
PS = -1 + 4x
RQ = 3x + 3
-1 + 4x = 3x + 3
4x = 3x + 4
x = 4
Now plug that into RQ.
3(4) + 3 = RQ
15 = RQ
18. Angles G and E are equal to each other.
G = 5x - 9
E = 3x + 11
5x - 9 = 3x + 11
5x = 3x + 20
2x = 20
x = 10
Plug that x into G.
5(10) - 9
41 = G
19. TE and EV are equal to each other.
TE = 4 + 2x
EV = 4x - 4
4 + 2x = 4x - 4
2x = 4x - 8
-2x = -8
x = 4
Plug that into TE.
4 + 2(4)
12 = TE
20. DB and BF are equal.
DB = 5x - 1
BF = 5 + 3x
5x - 1 = 5 + 3x
5x = 6 + 3x
2x = 6
x = 3
Plug that into DB.
5(3) - 1
14 = DB
Answer:
Step-by-step explanation:
Given:
RUTS is a rectangle.
To prove:
∠USR ≅ ∠SUT
Statements Reasons
1. RUTS is a rectangle 1. Given
2. RU = ST, UT = RS 2. By the definition of a rectangle
3. ∠STU = ∠SRU = 90° 3. Definition of a rectangle
4. ΔURS ≅ ΔSTU 4. By the LL theorem of congruence
5. ∠USR ≅ ∠SUT 5. CPCTC