ANSWER
EXPLANATION
If g(x) is the transformation of f(x) as follows,
Then g(x) is a horizontal compression (if a > 1) or stretch (if a < 1) of f(x). The rule to map each point is,
In this case, this is a stretch so the point (-2, 2) maps to the point (-4, 2) and the origin is the same. Join these two points with a line and we get the graph of f(¹/₂x).
Answer:
His total bill including the tip = $39.6
Step-by-step explanation:
Christopher has breakfast at a cafe and the cost of his meal is $36.00
Because of the service, he wants to leave a 10% tip. This means that he would be paying more than the original cost of the meal. The cost of tip would be determined by multiplying the original cost of the meal by 10%. This becomes
Cost of tip = 10/100 × 36.00 =
0.1× 36.00= $3.6
His total bill including the tip would be sum of the cost of the original bill + cost of the tip. It becomes
36.00 + 3.6 = $39.6
The height of the cylinder will be 5 units based on the information given.
<h3>How to calculate the height?</h3>
The cylinder has a volume of 45π cubic meters and the radius is 3 units.
The height will be calculated thus:
Volume of a cylinder = πr²h
45π = πr²h
45π = π(3²)h
45π = 9πh
h = 45π/9π
h = 5
Therefore, the height of the cylinder will be 5. units.
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Answer:
y - 5 = 
(x - 1)
Step-by-step explanation:
Note that 
= 
Differentiate using the power rule
(a
) = na
Given
y = x
= x. 
= 
, then
=
When x = 1
= . 1 =
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 line
Here m = and (a, b) = (1, 5), thus
y - 5 = (x - 1) ← equation of tangent
1. 2x+8=3x+10
Step 1: Subtract 3x from both sides.
2x+8(-3x)= 3x+10 <span>(-3x)
</span>-x+8=10
Step 2: Subtract 8 from both sides.
-x+8 (-8) = 10 <span>(-8)
</span>-x=2
Step 3: Divide both sides by -1.
-x/(-1)=2/(-1)
x=-2
Answer= x=-2
2. -3x+9=2x-1
Step 1: Subtract 2x from each side.
-3x (-2x) +9= 2x-1 <span>(-2x)
</span>-5x+9=-1
Step 2: Subtract 9 from both sides.
-5x+9 (-9)=-1 (-9)
-5x=-10
Step 3: Divide -5 from both sides.
-5x/-5= -10/-5
x=2
The answer is 2.
3. 4x-7=5x-6
Step 1: Subtract 5x from both sides.
4x-7 (-5x)= 5x-6 (-5x)
-x-7=-6
Step 2: Add 7 to both sides.
-x-7 (+7)= -6 (+7)
-x=1
Step 3: Divide each side by -1.
-x/-1=1/-1
x=-1
The answer is -1.
