Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
Answer:
b
Step-by-step explanation:
Answer:
Both Law of Sines and Cosines can be used to determine the angle Q.
Step-by-step explanation:.
Since from Law of Sines with one angle and three sides we can find other angles using the ratio obtained with the given angle and side length opposite side if angle P is not given we couldn't use this.
Law of Cosines can be used to find any angle of triangle with all three side lengths given and angle P is also not required to find angle Q.
Answer:
x = - 
, x = 3
Step-by-step explanation:
Given
(4x - 5)² = 49 ( take the square root of both sides )
4x - 5 = ± 
= ± 7 ( add 5 to both sides )
4x = 5 ± 7, thus
4x = 5 - 7 = - 2 ( divide both sides by 4 )
x = 
= -
or
4x = 5 + 7 = 12 ( divide both sides by 4 )
x = 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = -
left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution
x = 3
left side = (12 - 5)² = 7² = 49 = right side ⇒ solution
Using translation concepts, the coordinates for point C' are given as follows:
C'(-3,7).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The rule for a reflection over the y-axis is given as follows:
(x,y) -> (-x,y).
Hence, for point C', the coordinates are given by:
(3,7) -> (-3,7).
More can be learned about translation concepts at brainly.com/question/4521517
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