Answer:
B
Step-by-step explanation:
The exponential function
shows the exponential growth if 
Consider choice B.
If x=1, then 
if x=2, then 
if x=3, then
if x=4, then 
This means that the function
represents the table B.
Answer:
14
Step-by-step explanation:
k = 10 + - 24
k = -14
Answer:
y + 20 = 9(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the lie
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 20) and (x₂, y₂ ) = (9, 79)
m =
=
= 9
Using (a, b) = (- 2, - 20), then
y - (- 20) = 9(x - (- 2)), that is
y + 20 = 9(x + 2)
Answer:
The value of y = 70°
Step-by-step explanation:
∵ The measure of the major arc = 160 + 60 = 220°
∵ The measure of the circle is 360°
∴ The measure of the minor arc = 360 - 220 = 140°
∵ y is the angle between a chord and a tangent
∵ The chord subtended by the arc of measure 140°
∵ y is subtended by the arc of measure 140°
∵ Angle of tangent subtended by an arc,
its measure = half the measure of the subtended arc
∴ The measure of y = 1/2 the measure of the subtended arc
∴ y = 1/2 × 140 = 70°
The answer is:
.
____________________________________________Explanation:____________________________________________We have: " 6⁻¹ * (-2)³ * (-4)⁻² = ? " ;
_______________________________________Note: "6⁻¹ =

=

" .
Note the following property of exponents:
____________________________________ a⁻ˣ =

; {x ≠ 0}.
____________________________________________Note: (-2)³ = (-2)*(-2)*(-2) = 4*(-2) = -8 .
_______________________________________Note: (-4)⁻² =

;
=

;
=

;
____________________________________So; we have:
_____________________________________6⁻¹ * (-2)³ * (-4)⁻² ;
=

;
→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since: "{8÷8=1"} ;
→and we have:

;
=

.
_____________________________________ → The answer is:
.
_____________________________________