Answer:
Q1 d, Q2 c, Q3 d
Step-by-step explanation:
Q1
g(x)=-3x+1
g(x)=16 means that
-3x+1=16 subtract 1 from both sides
-3x=16-1 combine like terms and divide both sides by -3
x=-15/3=-5
Q2
g(x)=3x²+4x-1
g(2) means that x=2 so substitute
g(2)=3*2²+4*2-1=12+8-1=19
Q3
domain are the x values
range are the y values
Answer:
(1, 6)
(7, 0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0 = -0.5x² + 4x - 3.5
0 = x² - 8x + 7
0 = (x - 7)(x - 1)
x - 7 = 0 or x - 1 = 0
x = 1 or 7
Answer:
Step-by-step explanation:
Differentiate:
Substitute 
into 
:
Therefore, 68 is the gradient of the tangent line at x=7:
when , 
Answer:
(A) Complements of the same angle are congruent.
Step-by-step explanation:
Since, ∠CEF is complementary to ∠DCF, therefore
∠CEF+∠DCF=90° (1)
Also, ∠CEG=∠CEF+∠FEG
⇒90°=∠CEF+∠FEG (2)
Therefore, from(1) and (2), we get
∠CEF+∠DCF=90°
∠CEF+∠FEG=90°
Subtracting both the equations, we get
∠DCF-∠FEG=0
∠DCF=∠FEG.
Hence, ∠DCF≅∠FEG by the rule: Complements of the same angle are congruent.
9/20=0.45
0.45×100=45
45/100 is the answer
