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zubka84 [21]
3 years ago
10

Will give brainliest

Mathematics
2 answers:
Tpy6a [65]3 years ago
4 0
Hi there!

Function " g " after shifting th' graph of function " f " up 5 units :-

g(x) = f(x) + 5

g(x) = 4ˣ - 6 + 5

g(x) = 4ˣ - 1

Hence, Option [ 3. ] : g(x) = 4ˣ - 1 is Correct

~ Hope it helps!
ipn [44]3 years ago
3 0
To shift the function up 5 units, we add 5 to each function value.
  g(x) = f(x) + 5
  g(x) = 4^x - 6 + 5
  g(x) = 4^x - 1 . . . . . matches the 3rd selection
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Find the area and perimeter of the rectangle Length = 5cm Breadth =2cm
avanturin [10]

Answer:

perimeter: 14

Area: 10

Step-by-step explanation:

PERIMETER

2x(L+B) = 2x(5+2) = 2x(7) = 14

AREA

LxB = 5x2 = 10

PLEASE MARK ME BRAINLIEST

5 0
3 years ago
write an equation in slope intercept form of a line passing through the point (2,-3) that is perpendicular to a line whose slope
vladimir2022 [97]
1) find slope. when its perpendicular, It will be a negative reciprocal to the given slope so m1= -1/m1 
m=-1

2) y=mx+b
    y =-1x+b 
    (-3)=-1(2)+b
     -3=-2+b
       b=-1

3)  y=-1x-1

hope I helped!
6 0
3 years ago
A play has tickets available for 8 orchestra seats and 12 balcony seats. The next person to buy a ticket will be randomly assign
qaws [65]

The probability that the next person will be assigned an orchestra seats is 2/5.

<h3>What is Probability?</h3>

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, Available Orchestra seats = 8

            Balcony seats = 12

      Total available seats = 12 + 8 = 20

  Probability = Favorable Outcome / Total Outcome

  Probability of getting orchestra ticket = 8/20

                                                                 = 2/5

Thus, the probability that the next person will be assigned an orchestra seats is 2/5.

Learn more about Probability from:

brainly.com/question/14210034

#SPJ1

5 0
2 years ago
Suppose that you take 120 mg of an antibiotic every 4 hr. The​ half-life of the drug is 4 hr​ (the time it takes for half of the
vodomira [7]

Answer:

The steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Step-by-step explanation:

Let the amount of antibiotic in one's bloodstream be given as Aₙ (where n = the number of half lives since the start of usage)

Let's follow the time line of events.

At t = 0 hr, the drug is taken

A₀ = 120 mg

At t = 4 hrs, n = 1, the drug is taken again

A₁ = (0.5×A₀) + 120

A₁ = (0.5×120) + 120 = 180 mg

At t = 8 hrs, n = 2, the drug is taken again,

A₂ = (0.5×A₁) + 120

A₂ = (0.5×180) + 120 = 210 mg

At t = 12 hrs, n = 3, the drug is taken again

A₃ = (0.5×A₂) + 120

A₃ = (0.5×210) + 120 = 225 mg

At this point, it becomes evident that at t = 4n hrs, n = n i.e. n half lives later, the general formula for the amount of the antibiotic in the bloodstream is

Aₙ = 0.5Aₙ₋₁ + 120

where Aₙ₋₁ = The amount of antibiotic in the bloodstream at the time t = 4(n-1) and (n-1) half lives later.

For infinite series, that are increasing in this order, as the value of n --> ∞,

Aₙ = Aₙ₋₁ = K

And our general formula becomes

K = 0.5K + 120

0.5K = 120

K = (120/0.5)

K = 240 mg

Hence, the steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Hope this Helps!!!

5 0
3 years ago
The gradient of the line y= -2x -3​
N76 [4]

Answer:

-2

Step-by-step explanation:

The equation of the line is written in y=mx+c form, where m is the gradient and c is the y-intercept.

In this case, your m is a -2 and your c is a -3.

Hence the gradient of the line is -2.

5 0
3 years ago
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