19. Two of the most dangerous animals in the enchanted forest are snakes and bears. The populationof bears began with 100 bears in the year 2000 and increases at a rate of 4 bears per year. The
population of snakes began at 1 snake in the year 2000 and doubles every year *

What type of function would best describe the bear population

Answers

Answer 1
Answer:

Answer:

y=4x+100

Step-by-step explanation:


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Give five rational numbers lying between 3/5 and 4/5. Insert six rational numbers between 3 and 4.
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Solve for y. 8x+6y=10. Please show steps

Answers

8x+6y=10
-8x      -8x
6y=-8x+10
/6    /6    /6
y=(-8/6)x+(10/6)

Does the equation y= -1/x represent a direct or inverse variation?

Answers

The equation y = -1/x represent a inverse variation

Solution:

Given, equation is y = (-1)/(x)

We have to find the relation between x and y

Now, for finding the relation we have to take two sets of values of x and y and substitute them in given equation.

\begin{array}{l}{\text { Now, take } y=1 \rightarrow 1=-(1)/(x) \rightarrow x=-1} \n\n {\text { Now, take } y=-1 \rightarrow-1=-(1)/(x) \rightarrow x=1}\end{array}

If we observe, when y value is decreased from 1 to – 1, the value of x is increased from -1 to 1

Hence, the x and y varies inversely

The function f(x)= x^2 -4 is translated 3 units to the right to create function g(x). What is g(9)?

Answers

Answer:

g(9) = 32

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here f(x) is translated 3 units right, thus

g(x) = (x - 3)² - 4, hence

g(9) = (9 - 3)² - 4 = 6² - 4 = 36 - 4 = 32

A recipe that makes 8 servings calls fir 3/5 cup of flour. Jeff modifies the recipe so that it can serve 10 . How many cups of flour does Jeff need

Answers

so 3/5=8 servings
x=10 servings
therefor
(3/5)/(8)=x/10 so
find x
multiply both sides by 10
(10(3/5))/8=x
(10(3/5))/8=(30/5)/8=(6)/8=6/8=3/4
he needs 3/4 cup of flower

Cards with the numbers 1 through 40 are placed in a box and throughly shuffled. What is the probability of randomly selecting a card with a number less than 10 or a multiple of 15? a) 3/10; b) 11/40; c) 1/20; d) 7/400

Answers

There are 9 numbers less than 10.  1,2,3,4,5,6,7,8,9
And there are 2 multiples of 15.  15,30
There are 11 of the 40 cards that are either less than 10 or multiples of 15,  so the answer is B

3/4x-9=27 solve this equation

Answers

3x/4-9=27
Common denominator is 4
4(3x/4-9)=4•27
Distributing 4 through parentheses
4•3x/4-(4•9)=(4•27)
3x-4•9=4•27
3x-36=108 add 36
3x=108+36
3x=144 divide by 3
/3 /3
x=144/3
x=48•3/3
x=48 solved for x