Find the shaded area of the figure. Please help I am giving brainliest

Answer:

[tex]x=-4\text{ and } x=3[/tex]

Step-by-step explanation:

We are given the second derivative:

[tex]g''(x)=(x-3)^2(x+4)(x-6)[/tex]

And we want to find its inflection points.

To do so, we will first determine possible inflection points. These occur whenever g''(x) = 0 or is undefined.

Next, we will test values for the intervals. Inflection points occur if and only if the sign changes before and after the point.

So first, finding the zeros, we see that:

[tex]0=(x-3)^2(x+4)(x-6)\Rightarrow x=-4, 3, 6[/tex]

So, we can draw the following number-line:

<----(-4)--------------(3)----(6)---->

Now, we will test values for the intervals x < -4, -4 < x < 3, 3 < x < 6, and x > 6.

Testing for x < -4, we can use -5. So:

[tex]g^\prime^\prime(-5)=(-5-3)^2(-5+4)(-5-6)=704>0[/tex]

Since we acquired a positive result, g(x) is concave up for x < -4.

For -4 < x < 3, we can use 0. So:

[tex]g^\prime^\prime(0)=(0-3)^2(0+4)(0-6)=-216<0[/tex]

Since we acquired a negative result, g(x) is concave down for -4 < x < 3.

And since the sign changed before and after the possible inflection point at x = -4, x = -4 is indeed an inflection point.

For 3 < x < 6, we can use 4. So:

[tex]g^\prime^\prime(4)=(4-3)^2(4+4)(4-6)=-16<0[/tex]

Since we acquired a negative result, g(x) is concave down for 3 < x < 6.

Since the sign didn't change before and after the possible inflection point at x = 3 (it stayed negative both times), x = -3 is not a inflection point.

And finally, for x > 6, we can use 7. So:

[tex]g^\prime^\prime(7)=(7-3)^2(7+4)(7-6)=176>0[/tex]

So, g(x) is concave up for x > 6.

And since we changed signs before and after the inflection point at x = 6, x = 6 is indeed an inflection point.

Answer:

$51.94

Step-by-step explanation:

Basically just take 6% of 49 and at it up to get your final answer!

Answer:

$51.94

Step-by-step explanation:

49* 1.06= $51.94

Answer:

Step-by-step explanation:

y -5x = 2

10x -3y =9

substitute x for 3/5 and y for -1

-1 -(5*3/5) = 2

(10*3/5) -3(-1) =9

simplify :

-1 -3 =2

6+3 =9

-4 =2 Not true

9=9 True

Conclusion: the point (3/5, -1) is not a solution to the given system of equations

Answer:

£109

Step-by-step explanation:

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

Answer: is, £109, rounded to the nearest pound.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, given that,

£108.72 has to be rounded off.

we know,

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

hence, Answer: is, £109, rounded to the nearest pound.

To learn more on round off click:

https://brainly.com/question/29348203

#SPJ2

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First you do 5/2 to solve the ratio! That equals 2.5 btw. Then you have to selected the answer choice that is equivalent to that. So I just divided all them until I got a radio equal to 2.5! 45/18 equals 2.5 also! Therefore A (45 teachers to 18 students) was the correct choice!

Answer:

33.333...(%)

Step-by-step explanation:

4 divided by 12 gives you 0.333... (3 repeating)

Create your own problem using the following information

ratio is 2:5:6=78

Answer:

0.8

Step-by-step explanation:

4 fits into 5 0 times 4 fits into 50 8 times.

0.8

Hope this helps!

Answer:

65.3 km/hr

Step-by-step explanation:

49/45 x 60 = 65.3 km/hr

Answer:

★ The answer would be 0.02 MILES PER HOUR

Step-by-step explanation:

Hope you have a great day :)

Answer: Joe would have 7 apples.

Step-by-step explanation:

Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.

2 + 5 = 7

Joe would have 7 apples.

101+ 6x-5=180

6x=84

x=14

hope this helps!

Answer:

x = 14

Step-by-step explanation:

Since m || n, the two adjacent angles (101° and (6x-5)) must add up to 180°.

180° - 101° = 79°. Therefore, 6x - 5 = 79.

Add 5 to both sides, and the equation is 6x = 84.

Then divide both sides by 6 to get x = 14.

Answer:

32 cakes

Step-by-step explanation:

Divide 48 by 6 = 8

8 x 4 = 32

Step-by-step explanation:

Notice that:

Every house number on the side of Elm Street is 6 more than the previous one.

If we continue this pattern, we will see the following house numbers:

Out of the options given, the only one whose number is on the side of Elm Street is 77. (B)

Answer:

No, he is going to have $496, which is $4 dollars less than what he wanted.

Step-by-step explanation:

Answer:

hola jugas free mi id si juegas 542233308

Answer:

3 & 1/2

Step-by-step explanation:

2•3=6

7-6

1/2

3 whole number

3 & 1/2

the answer is 4/5 i don't know

Answer:

B

Step-by-step explanation:

She starts each week with 108 phones to fix.

Since this is true, you can use the formula to figure this out.

Hope this helps!

Answer:

First we substitute

4(-3) - 6(-1)

-7  -6

-13

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Part A

The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.

Express the toy's value t, in dollars, as a function of time w in weeks after purchase.

Part B

Write an expression to represent the toy's value 10 days after purchase

Answer and Step-by-step explanation: An exponential function is of the form: [tex]y=ab^{x}[/tex]

Part A

Translating to the question, the toy's value as a function of time is

[tex]t=ab^{w}[/tex]

To determine constants a and b, we use points given by graph.

First, (0,5) to find a:

[tex]5=a.b^{0}[/tex]

a = 5

Now, (3,10) to determine b:

[tex]10=5b^{3}[/tex]

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

b = 1.26

The toy's value as a function of time in weeks is [tex]t=5.(1.26)^{w}[/tex]

Part B

Since, the function is in weeks:

1 week = 7 days

w weeks = 10 days

[tex]w = \frac{10}{7}[/tex]

Replacing w:

[tex]t=5.(1.26)^{w}[/tex]

[tex]t=5.(1.26)^{10/7}[/tex]

Expression that represents toy's value after 10 days is [tex]t=5.(1.26)^{10/7}[/tex].

Answer:

2

Step-by-step explanation:

20-10=10

25-5=20

20÷10=2

Answer:

2

Step-by-step explanation:

y-y/x-x

25-5/20-10=20/10=2

Answer:

x = 5/2 + sqrt(61)/2 or x = 5/2 - sqrt(61)/2

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 5 x - 6 = 3

Hint: | Solve the quadratic equation by completing the square.

Add 6 to both sides:

x^2 - 5 x = 9

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 25/4 to both sides:

x^2 - 5 x + 25/4 = 61/4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 5/2)^2 = 61/4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 5/2 = sqrt(61)/2 or x - 5/2 = -sqrt(61)/2

Hint: | Look at the first equation: Solve for x.

Add 5/2 to both sides:

x = 5/2 + sqrt(61)/2 or x - 5/2 = -sqrt(61)/2

Hint: | Look at the second equation: Solve for x.

Add 5/2 to both sides:

Answer: x = 5/2 + sqrt(61)/2 or x = 5/2 - sqrt(61)/2

Answer:

y = -8x + 0

Step-by-step explanation:

If you multiply the x values by -8, you get the y value

Answer:

dang it can someone pls do this

Step-by-step explanation:

Answer: a) one central angle is QPR

b) arc QTS is a semicircle

c) arc QR is a major arc

d) arc QTR = 235

e) arc QR = 125

Step-by-step explanation:

A central angle is an angle with its vertex as the midpoint of the circle.

A semicircle is half of a circle. Segment QS goes through the midpoint P splitting the circle in half : arc QTS and arc QRS are both semicircles.

The degree of a central angle is equal to the arc it encompasses. Central angle QPR is equal to 125, therefore arc QR is equal to 125 as well.

Given this information we can now find the remaining arc QTR. A circle is equal to 360 degrees. We know part of the circle is 125 degrees which means the remaking portion must be 235 degrees.

360 - 125 = 235