Answer:
D
Step-by-step explanation:
Current coordinate of R : ( 1,5 )
Applying translation with rule (x,y) --> (x+1 , y-1)
Coordinate after translation ( 1 , 5 ) ==> ( 1 + 1 , 5 - 1 ) ==> ( 2 , 4 )
applying dilation with scale factor of 3 , to apply dilation multiply x and y values by scale factor which is 3
Coordinate after dilation ( 2 , 4 ) ==> ( 2 × 3 , 4 × 3 ) ==> ( 6 , 12 )
The final coordinate is ( 6 , 12 )
The equation which represents the given graph g(x) is 2ˣ-1.
<h3>
What is Equation?</h3>
Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Here, given graph passes through origin.
Put x = 0 in all the given equation and verify which equations gives result as zero.
Put x = 0 in option A
g(0) = 2⁰⁺¹ = 2 ≠ 0
in option B
g(0) = 2⁰-1 = 1 - 1 = 0
Thus, option B g(x) = 2ˣ-1 is the correct expression for the given graph.
Learn more about Equations from:
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Answer:
The answer is B. He spent 3 minutes eating lunch for every 10 minutes.
Step-by-step explanation:
He spent stuck inside during the brainstorm for:
20+18+12+10= 60 minutes in total.
And now we want to know what he did for every 10 minutes he spent in the rainstorm. To do that we need to divide what he did for every 10 minutes by the total of minutes that he was stuck:
And now we can multiply the time of the activities by 1/6 to get the time he did each activity every 10 minutes.
Reading:
minutes reading for every 10 minutes.
Eating:
minutes eating for every 10 minutes.
Watching TV:
minutes watching TV for every 10 minutes.
Drawing:
minutes drawing for every 10 minutes.
Therefore he spent 3 minutes eating lunch for every 10 minutes.
Answer:
12
Step-by-step explanation:
The computation of the size of the customers is shown below:
Here we find the greatest common divisor of the given numbers
96, 60, 84 ÷ 2
48, 30, 42 ÷ 2
24, 15, 21 ÷ 2
12, 15, 21 ÷ 2
6, 15, 21 ÷ 2
3, 15, 21 ÷ 3
1, 5, 7 ÷ 5
1, 1, 7 ÷ 7
1, 1, 1
By this there are three numbers i.e. 2, 2 and 3
So, the lease common denominator is
= 2 × 2 × 3
= 12
Answer:
120 ft
Step-by-step explanation:
The distance the gravel covers is the total distance times the percentage that the gravel covers
We know the gravel covers 66 ft and the percentage is 55%
distance gravel = total distance * percentage
66 = total distance * 55%
66 = total distance *.55
Divide each side by .55
66/.55 = total distance *.55/.55
120 = total distance
