vertex form of y=-2x^2+16x-24

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

|-13|=13

Here we have a problem with exponential decays,  we will find that we can expect that 110 rabbits will still be alive at the end of 7 days.

An exponential decay can be written:

P(x) = A*e^(-k*x)

Where:

A is the initial amount.

k defines the rate of decrease.

x is our variable.

In this case, the exponential decay is applied to the population of rabbits, and we know that:

The initial population is 240, then A = 240

P(x) = 240*e^(-k*x)

We also know that after two days (at x = 2) the population was 180, then we can write:

P(2) = 180 = 240*e^(-k*2)

With this equation we can find the value of k:

180 = 240*e^(-k*2)

180/240 = e^(-k*2)

Now remember that:

Ln(e^n) = n

then if we apply the natural logarithm to both sides, we get:

Ln(180/240) = Ln(e^(-k*2)) = -k*2

-Ln(180/240)/2 = k = 0.144

Then the equation is:

P(x) = 240*e^(-0.144*x)

Now with this, we can find the population of rabbits after 7 days, we just need to evaluate the above function at x = 7, we will get:

P(7) = 240*e^(-0.144*7) = 110.3

That we could round down to the next whole number, 110.

Concluding, we can expect that 110 rabbits will still be alive at the end of 7 days.

If you want to learn more, you can read:

https://brainly.com/question/14355665

Answer:

What the question???

Step-by-step explanation:

Woops did not mean to click add a answer

Answer:

Train A = 70km

Train B = 75km

Train B is going faster than Train A.

Step-by-step explanation:

Train B = [tex] \frac{d}{t} = \frac{150}{2} = 75km[/tex]

Train A = [tex] \frac{d}{t} = 70km[/tex]

Answer:

17

Step-by-step explanation:

okay so we know its double digit and less than nineteen so... 11 through eighteen. now we just find the prime numbers.

11

13

17

Now to finally narrow it down.

1+1=2 so 11 doesn't work

1+3= 4 so 13 is a no-go

1+7=8 so BLAMMO

Answer:

-6 x 9 = -54

Explanation:

Answer:

Real and irrational numbers

Step-by-step explanation:

there are (almost) no hidden tricks. the graphs are simply showing the answers.

#9

starts at 0 seconds and ends at 7 seconds.

starts at 0 meters and ends at 7 meters.

traveled 7 meters in 7 seconds.

#10

this is the only trap : please consider that the object did not move until 3 seconds into the chart. it remained steady for these first 3 seconds.

starts at 3 seconds and ends at 9 seconds.

starts at 1 meter and end at 5 meters.

traveled 5-1=4 meters in 9-3=6 seconds.

Answer:

(4,3)

Step-by-step explanation:

hope this helps :)

Answer:

B. 24

Step-by-step explanation:

The first multiple that 8 and 12 have in common is 24. Notice that 48 is also a common multiple; however, 24 is the smallest number that they have in common.

Answer:  1  1/2

You can write this as 1 & 1/2

The whole part is 1. The fractional part is 1/2

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

Explanation:

Let's say we had 18 cookies to hand out to 12 students.

How many cookies does each student get?

Using a calculator shows that 18/12 = 1.5 which means they get one whole cookie each

The leftovers is 18-12 = 6

Then notice how 6/12 = 1/2

So that's how the improper fraction 18/12 becomes the mixed number 1 & 1/2

So each student gets 1 full cookie, plus half a cookie.

------------------

Or we could do the problem like this

18/12 = (12+6)/12

18/12 = (12/12)+(6/12)

18/12 = 1 + (1/2)

18/12 = 1 & 1/2

Answer:

Step-by-step explanation:

x1 + x2 divided by 2

y1 + y2 divided by 2

-3 + 4 is 1/2

-4 + 4 is 0

(0.5,0)

i could be wrong but i did it in my head , but the equation is right . just do that in order

Answer:

( 0.5, - 1 )

Step-by-step explanation:

So here is the equation:

x2 + x1 / 2 For the x coordinate

y2 + y1 / 2 For the y coordinate

x2 is 4 and x 1 is -3 whilst y2 is 2 and y1 is -4.

Thus:

4 + -3 / 2 = 0.5 x coordinate

2 + -4 / 2 = -1 y coordinate

So it becomes (0.5, -1)

HOPE THIS HELPED

You're letting x = 0.325325325…, which means

1000x = 325.325325325…   (or 325.325, but pretend the underline is actually an overline)

Then the next box you'd fill in with 0.325325325… (or 0.325).

Subtracting these, you have

1000x - x = 325.325325325… - 0.325325325…

999x = 325

Finally, solving for x gives

x = 325/999

[tex]2\sqrt{3}[/tex]

------------------------

Steps:

1st write out equation

[tex]\frac{\sqrt{60}}{\sqrt{5}} \\[/tex]

Second write the conjugant and multiply it.

[tex]\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }[/tex]

After multiplying you should get,

[tex]\frac{10\sqrt{3}}{5}[/tex]

now after simplifying you should get

[tex]2\sqrt{3}[/tex]

Answer: x=-3

Step-by-step explanation:

2x-18=8x

-2x. -2x.

-18=6x

-18/6=6x/6

-3=x

Answer:

P= -80

Step-by-step explanation:

Make bring p to the other side

.60p-p=32

-.4p=32

p= -32/.4

p=-80

P= -80 Is the final answer

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

Answer:

For a line to be parallel it must have the same slope. So the slope of the new equation is 6.

The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....

-5=6(3)+b

Solve for b (the y-intercept)

b= -23

Therefore.... y=6x-23

??? does that help????

Answer:

total=16pens and 10 red pens so ratio=10:16 fraction =5/8

Step-by-step explanation:

Answer:

+12

Step-by-step explanation:

Answer:

y = -26

Step-by-step explanation:

[y = 2 - 2x] + [y = -16 + 2(x - 3)^2​]

y = -16 + 2x - 6^2

y = -16 + 2x - 6^2 + 2 - 2x

y = (+2x - 2x) - 16 - 6^2 + 2

y = -16 - 6^2 + 2

y = -16 - 12 + 2

y = - 28 + 2

y = -26

Answer:

14

Step-by-step explanation:

the full length of the line is 17, half of it is 3.

subtract line LN from MN to get LM.

17-3=14

Answer:

LN=4

Step-by-step explanation:

Answer:

Easy

Step-by-step explanation:

Easy to use and easy to use and easy to use onenote

Answer:

C. 64+4x=200

'X' is the price of the bracelet

Step-by-step explanation:

Ring: $64

4 Bracelet: 4 ( $x )

Total spend: $200=Ring+4 Bracelet

64+4x=200

4x=200-64

4x=136

x=136/4

x=34

Bracelet: $34

Answer:

-13/10

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-7-6/4-(-6)

-13/10

Best of Luck!