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4 years ago

Which function grows at the fastest rate for increasing values of x? g(x)=14x p(x)=12x3+9 f(x)=2x2−x h(x)=3x

1 answer:

5 0

The function that is growing at the fastest rate is p(x) = 12x^3 + 9.

This is a cubic function, meaning that x is raised to the third power. This is the only function that is raised to the third power, so it will increase the fastest.

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What are the possible values of x if (4x - 5)2 = 49? Check all that apply.<br> uw we we

kogti [31]

Answer:

x = - $\frac{1}{2}$ , x = 3

Step-by-step explanation:

Given

(4x - 5)² = 49 ( take the square root of both sides )

4x - 5 = ± $\sqrt{49}$ = ± 7 ( add 5 to both sides )

4x = 5 ± 7, thus

4x = 5 - 7 = - 2 ( divide both sides by 4 )

x = $\frac{-2}{4}$ = - $\frac{1}{2}$

4x = 5 + 7 = 12 ( divide both sides by 4 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - $\frac{1}{2}$

left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution

x = 3

left side = (12 - 5)² = 7² = 49 = right side ⇒ solution

7 0

3 years ago

A culture started with 5000 bacteria after 5 hours it grew to 6500 bacteria predict how many bacteria will be present after 16 h

postnew [5]

Answer:

After 16 hours bacterial count will be 11600.

Step-by-step explanation:

Bacterial growth is always an exponential growth in a given culture.So the formula for the growth will be

Final counts of bacteria = Initial counts × $(rate of growth)^{time}$

Given from first part Initial counts = 5000

Final counts= 6500 and time of growth = 5 hours

Then we will get the value of rate of growth of bacteria from the bacteria

⇒ 6500 = 5000× $(rate)^{5}$

$(rate)^{5}= \frac{6500}{5000} = 1.3$

$Rate = \sqrt[5]{1.3} = 1.05$

Now again to get the value of bacteria after 16 hours

Final Count = 5000× $(1.05)^{16}$

= 5000×2.32

= 11600

7 0

4 years ago

Help me pls pls pls pls

Alex Ar [27]

5 2/4 because 3 and 2 are 5 and 1/4 plus 1/2 make up 2/4 meaning its either 5 2/4 or 5 1/2

now i get brainly <3

6 0

3 years ago

Is this a function or not

s344n2d4d5 [400]

this equation is not funcion.

Step-by-step explanation:

if u make a graph and u aline them with dots 2 or more dots will cross each other witch makes it not function:)

8 0

3 years ago

4 questions! Write an equation in slope-intercept form for each of the following:

AysviL [449]

1) y= -4x+c

2) y= 3x+c replace x and y to find c , 5=3(2)+c
C= -1
Y=3x-1

3) find slope first m=y2-y1/x2-x1 = 0-(-1)/-2-1 = 1/-3 and now you have y= -1/3x+c to find c just replace any of the given points , 0= -1/3(-2)+c
C= -2/3 and so y= -1/3x-2/3

4) DO THE SAME STEP AS NUMBER 3 and enjoy!

3 0

2 years ago