Suppose h(x) = ax^3 + 11x^2. Determine a if h has an inflection point at x = 4. Show all your work.

Answer:

433 mph

Step-by-step explanation:

Speed = Distance/Time = 7,794/18 = 433 mph

Answer:

B. 15

Step-by-step explanation:

6-3=3, multiply 4 by 3 then add 6 (Answer to 8-2) then divide by 2

4×3+6÷2

Answer:

[tex]k = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

[tex]y = kx[/tex]

When y = 1, x = 2;

So, we have:

[tex]1 = k * 2[/tex]

[tex]2 * k = 1[/tex]

Make k the subject

[tex]k = \frac{1}{2}[/tex]

Hence, the constant of proportionality is 1/2

Answer:

Step-by-step explanation:

Scale factor of JKLM to EFGH is 5/2.

Value of x = 27.5

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given,

JKLM ~ EFGH

Scale factor = JK/EF = 20/8 = 5/2

So, KL/GF  = 5/2

x/11 = 5/2

x = 55/2

x = 27.5

There is scale factor of 5/2 from JKLM to EFGH.

27.5 is value of x.

Learn more about scale factor here:

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Answer:

Car A gets 19 miles per gallon while Car B gets ~17.8 miles per gallon. Car A gets better mileage.

Step-by-step explanation:

Answer:

5 is not in the domain

Step-by-step explanation:

the domain is x ≤ 2

Answer:

144 ft

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

6.66 minutes to complete one lap.

Step-by-step explanation:

Answer:

12 cm

Step-by-step explanation:

20² = length² + 16²

length² = 400 - 256 = 144

length = 12

Check

20² - 16² = 12

Hopefully I'm right!!

Answer:

x=15

Step-by-step explanation:

(I had this question on a test my teacher told me my answer)

lol hope it helps you and/or others :))

Answer:

2.24

Explanation:

2.5 - 2.4 / 1.2(0.13) = 2.24

Answer:

375

Step-by-step explanation:

"817 tickets were sold"

a and s are the number of adults and students, respectively.

a+s = 817

s = 817-a

"67 more student tickets sold than adults"

s = a+67

817-a = a+67

750 = 2a

a = 375

375.

817 minus 67 = 750÷2=375

Answer:

We can't graph on this app but this is what I can give you.

Step-by-step explanation:

The 5+2 part automatically makes 7, obviously, meaning that x and y each would have to at least represent 2 for this equation to be true.

Answer:

90 for both of them

Answer:

90

Step-by-step explanation:

1+1+1+1+1+1+1+1+1=9 then add a 0

Answer:

We have the function:

[tex]P(t) = \frac{800 + 630*t}{20 + 0.09*t}[/tex]

a) The population of deer when t = 60 is equal to P(60)

We just need to replace t by 60 in the above equation:

[tex]P(60) = \frac{800 + 630*60}{20 + 0.09*60} = 1,519.7[/tex]

We can not have the 0.7 of a deer, so we could round this up to 1,520

So at t = 60, we would have around 1,520 deers.

b) The horizontal asymptote of P(t) = y is when the denominator of the function is equal to zero (this is when P(t) goes to infinity).

Then we need to find the value of t such that:

20 + 0.09*t = 0

20 = -0.09*t

20/-0.09 = t = -222.222...

The asymptote of P(t) is at t = -222.222...

Because in this case t is negative, the function will diverge to infinity and minus infinity.

c) We can ignore the asymptotes and only compute this for positive values of t.

To find the maximum, we first need to look at the zeros of the first derivative of P(t):

[tex]P'(t) = \frac{630}{20 + 0.09*t} - \frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09 = 0[/tex]

[tex]\frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09 = \frac{630}{20 + 0.09*t}[/tex]

[tex]\frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09*(20 + 0.09*t) = 630[/tex]

[tex]\frac{800 + 630*t}{20 + 0.09*t} *0.09 = 630[/tex]

[tex](800 + 630*t) *0.09 = 630*(20 + 0.09*t)[/tex]

[tex]0.09*800 + 0.09*630*t = 630*20 + 630*0.09*t[/tex]

[tex]0.09*800 - 630*20 = 630*0.09*t - 0.09*630*t[/tex]

That last equation has no real solution, this means that we do not have a maximum. Then we will have a vertical asymptote

Then we can just look at the graph of the function (is below)

And you can see that we have a horizontal asymptote at y = 7000, then this will be the maximum number of deers.

6×8=48 and 12×4=48 so it is 48 though 48 is the same

Answer

Answer:

the numbers r switched

Step-by-step explanation:

Answer:

its opposites y=1/2x+4 would be more because its adding on the other on is decreasing

Step-by-step explanation:

Answer:

if you're talking about slope intercept then

y= 8/5x + 11/5

Answer:

Intercept on y-axis is

[tex]b=\frac{11}{5}[/tex]

Step-by-step explanation:

Equation of line in slope intercept form is given as

[tex]y=mx+b[/tex] ------(1)

where m is slope and b is y-intercept

Re-arranging g 8x-5y=-11 yields

[tex]y=\frac{8}{5} x + \frac{11}{5}[/tex]----------(2)

Comparing equation (1) and equation (2)

[tex]b=\frac{11}{5}[/tex]

Answer:

The answer to the question provided is

[tex] - \frac{5}{4} [/tex]

Step-by-step explanation:

God bless you too!!

Have a good afternoon <3

Answer:

r is wrong, t is wrong,

Step-by-step explanation:

dum gio

Answer:

C. Greater than

Step-by-step explanation:

Gross profit will always be greater than net income.

Gross profit is the total revenue earned before any form of expense in subtracted. Net income is gross profit less total expenses.

For example, if the selling price of a pencil is $1 and 1000 pencils is sold. Total cost is $500. Gross profit would be $1000(1 x 1000). Net income would be $500.

To learn more about gross profit, please check: https://brainly.com/question/26948480

Answer:

Payback B

Step-by-step explanation:

Thx for the points bbg

Answer:

7

Step-by-step explanation:

xy + (z-x)

x = 3

y = 2

z = 4

3×2 + (4-3)

6+1

= 7

Answer:

approximately 27 grams

Work Shown:

Half life formula

y = A*(0.5)^(x/H)

where,

A = starting amount = 30 grams

H = half life period = 90 years

x = number of years that pass by = 12

y = amount left over after x years

Let's plug the values for x, A and H into the formula to find y

y = A*(0.5)^(x/H)

y = 30*(0.5)^(12/90)

y = 27.3516746567466

y = 27 .... rounding to the nearest whole number

Answer:

So easy

Step-by-step explanation

on the y axis put -5 and then for x axis put -6

Answer:

(2,0) and (4,0)

Step-by-step explanation:

The roots are the values of x for which y = 0, or where the graph crosses the x-axis. (2,0) and (4,0)

Answer:

1.

Clean machine slope: 3/2

Sudz slope: 3/2

This means they rise and run at the same rate.

2.

y intercept of clean machine: 2

y intercept of sudz: 4

this tells us that the cost for sudz is higher per pound.

3.

Clean machine because 4 pounds at sudz costs 10 dollars, while 5.5 pounds at clean machine costs 10 dollars. You get more for less at clean machine.

4.

a. plot these points

Brand A: (0,100) (1,150)

Brand B: (0,200) (1,225)

b. Brand B cuz 25 is lower than 50

Step-by-step explanation:

We observe the line graph.

For every 1 block across, the line goes up by 2 blocks. Therefore Slope = Rise/Run = (2)/(1) = 2.

Also, the y-intercept when x = 0 is 2.

Slope-intercept form: y = mx + c

Hence we have y = 2x + 2. (C)

Answer:

B I think

Step-by-step explanation:

It’s either that or c