Given that g(x)=3x - 12, what is the value of x when g(x)=-27?

Mathematics

2 answers:

anyanavicka [17]2 years ago

5 0

Answer:-93

Step-by-step explanation:

g(x)=3x-12

g(x)=3(-27)-12 - Substitute

g(x)=-81-12 - Multipy

g(x)= -93 - Add

Lorico [155]2 years ago

4 0

Answer:

x = -5

Step-by-step explanation:

If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12

Solve for x

-27 = 3x -12, add 12 to both sides

-27+12 = 3x, add -27+12

-15 = 3x, divide both sides by 3

-5 = x

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Lynette buys candy at the grocery store. she gives half of the pieces to her son and 2 pieces to her daughter. if she has 4 piec

nevsk [136]

Let Lynette has originally candies in hand = x

She gave half to her son means x/2 given to son.

2 candies gave to daughter and left with 4.

x - x/2 - 2 = 4

adding 2 both sides

x - x/2 - 2 + 2 = 4 + 2

x - x/2 = 6

x /2 = 6

x = 12

Means she have 12 candies originally : Answer

Hope it will help :)

5 0

3 years ago

∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?

never [62]

Answer: The answer is (D) Reflection across the line y = -x.

Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.

(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.

(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.

(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.

(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.

Thus, the correct option is (D).