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3 years ago

Which function represents g(x), a reflection of f(x) = 4

Mathematics

1 answer:

mel-nik [20]3 years ago

7 0

Answer: Correct answer is C -I just took the test

we have the function f(x) = 4(1/2)x, and we want to reflex it over the x-axis.

you can see in the graph that the reflex over this axis changes the sign of f(x) in all the points (where f(0) = 4, g(0) = -4, f(1) = 2, g(1) = -2, and so on), then the reflex, g(x) is equal to -f(x)

now we have:

g(x) = -f(x) = - 4(1/2)x

then the right answer is the third option:

g(x) = -4(1/2)x

Step-by-step explanation:

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A right rectangular prism has these dimensions:

Andreyy89

I believe the volume would be 0.74^3

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3 years ago

John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i

Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

"John paid $222 for four hours of skiing and two hours boating":

$4x+2y=222$

"He paid $213 for two hours skiing and three hours boating":

$2x+3y=213$

Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y. Work shown below.

$2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51$

Hence, y = 51

Now, substituting this y value into the 1st equation and solving for x will give us the value of x.

$First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30$

Hence, skiing costs $30 per hour and boating costs $51 per hour.

4 0

2 years ago

Mike reads 40 pages of a book in 50 minutes. David can read 10 more pages than Mike in 50 minutes. How many pages should David b

Sveta_85 [38]

David can read 50 pages in 50 minutes.
(50 pages)/(50 minutes) = 1 page/minute
Since David reads 1 page per minute,
in 80 minutes David can read 80 pages.

8 0

3 years ago

Read 2 more answers

Is this right yes or no

damaskus [11]

Answer:

i am just a little confused but so far its a yes

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Find two consecutive odd integers if twice the larger, increased by the smaller equals 37,

Alexxx [7]

Answer:

11 and 13

Step-by-step explanation:

the first (smaller) odd integer can be called x

the second (larger) odd integer can be called x+2

2(x+2)+x = 37

[simplify . . .]

2x+4+x = 37

3x+4 = 37

[subtract 4 from each side]

3x = 33

[divide each side by 3; find smaller odd integer]

x = 11

[add 2 to find larger odd integer]

x+2 = 13

6 0

2 years ago