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2 years ago

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Scientists are studying the frog population in a pond. The function g(x)=14(1.75)x can be used to determine the number of frogs

in a pond after x years. Determine how many frogs will live in the pond after 25 years.

1 answer:

dimulka [17.4K]2 years ago

4 0

Answer:

A. 0.4

Step-by-step explanation:

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I need help finding the y-intercept of these, I am no good with slope and tables. ;-;

zubka84 [21]

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

<u>First table</u>

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

<u>Second table</u>

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$ . I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

$\frac{9-12}{-3-(-6)}$

And simplify...

$\frac{-3}{3}$

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

<u>Third table</u>

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

$\frac{-3-(-5)}{9-3}$

$\frac{2}{6}$

$\frac{1}{3}$

Let's count down....

If x = 3, y = -5

If x = 2, y = -5 1/3

If x = 1, y = -5 2/3

If x = 0, y = -6

8 0

2 years ago

Ella used 37.2 pounds of apples to make applesauce . She used one -tenth as a many pounds of sugar as pounds of apples . How man

sukhopar [10]

You would have to divide 37.2 by 10. The answer would be 3.72.

3 0

2 years ago

3+ 4×12 Word problem

Rudiy27

Three plus four times twelve

5 0

2 years ago

Read 2 more answers

AB is the angle bisector of CAD. Solve for the missing variable?

Alika [10]

Answer:

$x=8^\circ$

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is $\angle CAD$ ) exactly in half. Therefore, $\angle CAB = \angle BAD$ and as such we can solve for $x$ :

$\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ$

and we are done.

4 0

2 years ago

Ella Buys a book and a pen for $14. The cost of the book is two dollars more than twice the cost of the pen. Write a system of l

Vilka [71]

Answer: The book costs $10 and the pen costs $4✔️

Step-by-step explanation:

Let B the cost of the book and let P the cost of the pen.

Then we know:

The book and the pen cost $14:

B + P = $14 } Equation 1

We also know:

The cost of the book is two dollars more than twice the cost of the pen.

B = 2P + $2 } Equation 2

Now we can substitute the value of B from the equation 2 in the equation 1:

2P + $2 + P = $14

3P = $14 - $2 = $12

P = $12/3 = $4 , cost of the pen

Since we know the value of B from the equation 2, we can calculate B:

B = 2P + $2 = 2x$4 + $2 = $8 + $2 = $10 , cost of the book

Answer: The book costs $10 and the pen costs $4✔️

<h3>Verify </h3>

We can substitute these values in equations 1 and 2 and check the results:

B + P = $14 } Equation 1

$10 + $4 = $14 ✔️check!

B = 2P + $2 } Equation 2

$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!

<h2><em>Spymore</em></h2>

5 0

2 years ago