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Naddika [18.5K]
3 years ago
13

Please help and thank you

Mathematics
1 answer:
hammer [34]3 years ago
4 0

Answer:

<h2>D. g(x) = (x - 4)²</h2>

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

=========================================

The graph of f(x) shifted by 4 units to the right. Therefore, the equation g(x) is:

g(x) = f(x - 4) = (x -4)²

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Students were asked to name their favorite sport. Seven students chose soccer, nine chose basketball, four chose baseball, and f
timurjin [86]

Answer:

Total number of students= 7+ 9+4+5= 25

Tennis: total= 5:25= 1:5 (simplify by dividing both sides by 5

3 0
2 years ago
Read 2 more answers
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you
uysha [10]

Answer:

  19.44 hours, about 19 hours 26 minutes

Step-by-step explanation:

The exponential equation that describes your caffeine level can be written as ...

  c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg

We want to find t for c(t) = 10, so ...

  10 = 120(0.88^t)

  10/120 = 0.88^t . . . . . . . divide by 120

  log(1/12) = t·log(0.88) . . . take logarithms

  t = log(1/12)/log(0.88) ≈ 19.4386

It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.

3 0
3 years ago
What is the domain of f(x)=(1/3)^x
o-na [289]

Answer:

All Real Numbers

Step-by-step explanation:

The domain is all the x values for a function. As this function is not restricted in any way, the domain is all real numbers. You can put any number in for x and plot it on the graph.

6 0
1 year ago
The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?
alina1380 [7]
Class ratio of girls to boys is 3:5
So there are 3 girls and 5 boys in 8 students
If there are 32 students, then 3/(3+5) * 32 = 12 girls, and 5/(3+5) * 32 = 20 boys


Hope it helps you?
8 0
2 years ago
5x - 2y = 18<br> -5x + 3y = -22
jeka94
Add the two equations
since the 5x and -5x cancel out
you get y=-4

plug y=-4 into the first equation
solve for x
x=2

THE ANSWER IS: (2,-4)

8 0
2 years ago
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