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Nostrana [21]
3 years ago
5

Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before.

How many rabbits were there after x years? Write a function to represent this scenario.
A. f(x) = 6(x)^4
B. f(x) = 4(6)^x
C. f(x) = 4(x)^6
D. f(x) = 6(4)^x
Mathematics
2 answers:
asambeis [7]3 years ago
8 0
C. is the right answer.
QveST [7]3 years ago
3 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Initial population of rabbits =<em> A = </em>6

Each year, there were 4 times as many rabbits as the year before.

i.e. b = 4

Let the number of years be x.

So, our required equation will be

f(x)=Ab^x=6(4)^x

Hence, Option 'D' is correct.

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Triangle ABC is a right triangle.
mina [271]

Answer:

They are complementary.

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

A+B+C=180°

where

A,B and C are the measures of the interior angles of triangle

In a right triangle

The measure of angle C ( I assume that the right angle is C) is equal to 90 degrees

so

A+B+90°=180°

A+B=180°-90°

A+B=90°

Remember that

If two angles are complementary, then their sum is equal to 90 degrees

therefore

A and B are complementary angles

3 0
3 years ago
Read 2 more answers
Please help me!<br> Will mark brailest if you are right!!!
Anon25 [30]

Answer:

f(x) = 3x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)

m = \frac{3-0}{1-0} = 3 , then

y = 3x ← is the equation of the graphed line

8 0
3 years ago
Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.
geniusboy [140]

Answer:

  • one orange costs $0.35  and  one grapefruit costs $0.45

Step-by-step explanation:

<em>let grapefruits be g , let oranges be o</em>

so first equation:

→2g + 3o  = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

                                               → g = ($1.95 - 3(0.35))/2

                                               → g = 0.45

Therefore one grapefruit costs $0.45

4 0
2 years ago
Find the probability of a student being 34 years old or younger. Express your answer as a percent
yarga [219]

Answer:

79%

Step-by-step explanation:

3 0
3 years ago
Is the product of two integers positive, negative, or zero? How can you tell?
marishachu [46]

Answer:

When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.

Step-by-step explanation:

3 0
3 years ago
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