sketch the region enclosed by y=6x and y=8x^2. find the area of the region.

Answers

Answer 1

Answer:

The area enclosed by the given curves is  square units.

Step-by-step explanation:

The given equations are

Draw the graph of the given equations.

From the below graph it is clear that both curves intersect each other at (2,12) and (4,24).

The area of the region enclosed by curves is

Therefore the area enclosed by the given curves is square units.


Related Questions

How many kilograms are in 242,000 milligrams? The solution is

Answers

Answer:

i am from afghanistan and you

Answer:

.242 Kilograms

Step-by-step explanation:

To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.

Carter deposited $146.00 into a new savings account that earns 13% interest compounded
quarterly. How long will it take for the balance to grow to $239.00?
Round your answer to the nearest month.

___ years and ___ months

Answers

Answer:

it should be around 4 months I believe

Step-by-step explanation:

146.00(1+0.13/4)^(4×4)

Let Vector a = LeftAngleBracket 3, 11, negative 8 RightAngleBracket. and Vector b = LeftAngleBracket 2, negative 3, c RightAngleBracket. . If Vector a minus vector b = LeftAngleBracket 1, 14, negative 3 RightAngleBracket., what is the value of c?

–11
–5
5
11

Answers

Answer:

c.5

Step-by-step explanation:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

Answer:

(3, 2)

Explanation:

y = −2x + 8 ....equation 1y = x − 1 ....equation 2

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

substitute equation 2 into 1

x − 1 = −2x + 8x + 2x = 8 + 13x = 9x = 3

find y

y = x − 1y = 3 − 1y = 2

solution

(x, y) ⇒ (3, 2)

Answer:

(3, 2)

Step-by-step explanation:

Given

Equation 1:  y = -2x + 8

Equation 2:  y = x - 1

Solving by Substitution

Substitute Equation 2 into Equation 1 and solve for x:

⇒ x - 1 = -2x + 8

Add 2x to both sides:

⇒ 3x - 1 = 8

Add 1 to both sides:

⇒ 3x = 9

Divide both sides by 3:

⇒ x = 3

Now substitute the found value of x into Equation 2 and solve for y:

⇒ y = 3 - 1

⇒ y = 2

Therefore, the solution is (3, 2)

1. Based on the current market rates for bonds of Frenza, Nelo, and Lika, which of the following bonds do lenders believe has the highest risk level? 2. If Frenza decided to issue new bonds with a contract rate of 11%, would these new bonds be sold at a discount or premium based on the current market rate for Frenza bonds? 3. Frenza is planning an $160,000 expansion to launch a new product line. Frenza currently earns $100,000 in net income, and the new product line will yield $50,000 in additional income before any interest expense. Frenza has three options: (1) do not expand, (2) expand and issue $160,000 in debt that requires payments of 8% annual interest, or (3) expand and raise $160,000 from equity financing. For each option 1, 2, and 3, compute (a) net income and (b) return on equity (Net income ÷ Equity). Ignore any income tax effects.

Answers

The net income and return on equity for the first part for Frenzo will be $100000 and 25%.

How to calculate the net income?

The net income and return on equity for the first part will be:

Net income = $100000 - 0 = $100000.

Return on equity = (100000/400000) × 100 = 25%

The net income and return on equity for the second part will be:

Net income = $150000 - $12800 = $137200

Return on equity will be:

= (137200/400000) × 100

= 34.3%

The net income and return on equity for the third part will be:

Net income = ($150000 - 0) = $150000

Return on equity will be:

= (150000/560000) × 100

= 26.8%

Learn more about net income on:

https://brainly.com/question/15530787

what is 36x - 28 equal

Answers

Answer:

[tex]36x-28[/tex]

Rewrite 36 as 4*9 & Rewrite 28 as 4*7

[tex]4\cdot \:9x-4\cdot \:7[/tex]

Now, u can factor out the common term 4

[tex]4\left(9x-7\right)[/tex]

Need help with math please

Answers

Since those blue lines are perpenticular bisectors, that means they bisect at the midpoint of the line they bisect. That means the the line they bisect gets divided into equal parts. So,

BG must equal AG = 9, because DG bisects AB at the midpoint of D.

AD must equal DB = 6, because DG bisects AB at the midpoint of D.
So, AB =6+6 =12

BG=9
AB=12

NO LINKS!! Please help​

Answers

Answer:

FJ = 32

IJ = 24

FG = 48

Step-by-step explanation:

Getting Started with FG

[tex]\frac{IH}{AB} =\frac{FG}{ED}[/tex]

[tex]\frac{72}{36} =\frac{FG}{24}[/tex]

[tex]\frac{FG}{24} =2[/tex]

[tex]FG=24(2)=48[/tex]

The proportion between polygons is 2:1

[tex]IJ=2CB[/tex]

[tex]IJ=2(12)=24[/tex]

[tex]FJ=2BC=2(16)=32[/tex]

Hope this helps

Answer:

FJ = 32

IJ = 24

FG = 48

Step-by-step explanation:

Given:  HGFJI ~ AEDCB

From inspection of the diagram, the corresponding sides are:

HG~AE

FG~DE

FJ~DC

IJ~CB

IH~BA

The only pair of sides that both have side lengths are IH and BA.  Therefore, we can use these to figure out the scale factor of dilation.

IH = 72   and   BA = 36

⇒ IH/BA= 72/36 = 2

Therefore, HGFJI is an enlargement of AEDCB by a scale factor of 2

If HG = 56

⇒ AE = 56 ÷ 2 = 28

If DE = 24

⇒ FG = 24 × 2 = 48

If DC = 16

⇒ FJ = 16 × 2 = 32

If CB = 12

⇒ IJ = 12 × 2 = 24

Need help on one question

Answers

Answer:

write it so that we can know

now I can't see

in the table below x represents miles traveled and y represents the cost to travel by train what is the y intercept of this function?

Answers

Answer:

im pretty sure its 2.25...

Step-by-step explanation:

hope this helps:)

(3+2a)² alguien sabe la respuesta?

Answers

Answer:

3(3+2a)+2a(3+2a)

9+6a+6a+4a^2

9+12a+4a^2

ANS 4a^2+12a+9

I need help ASAP!!!! Worth 20 points!

Answers

Answer:

x in (-oo:+oo)

(5/4)*x-(3/7) = 0

(5/4)*x-3/7 = 0

5/4*x-3/7 = 0 // + 3/7

5/4*x = 3/7 // : 5/4

x = 3/7/5/4

x = 12/35

x = 12/35

Step-by-step explanation:

I need to know how to solve this

Answers

Answer:

it would be 3(16-8x) also know as A

Step-by-step explanation:

What is the slope and y-intercept of this line?

y=−12x+7

slope: 12, y-intercept: −7

slope: −7, y-intercept: −12

slope: −12, y-intercept: 7


slope: 7, y-intercept: −12

Answers

Answer:

  (c)  slope: -12, y-intercept: 7

Step-by-step explanation:

The given equation is in the slope-intercept form:

  y = mx +b

In this form, m is the slope, and b is the y-intercept.

__

Comparing the given equation to the form, we see ...

  y = mx +b

  y = -12x +7   ⇒   m = -12, b = 7

The slope is -12; the y-intercept is 7.

519.6 x 10.86


by process.​

Answers

Answer:

5642.856

Step-by-step explanation:

Multiply 5196 x 1086 without the decimal points

Then you will get the ans 5642856 then count how many decimal points are there altogether which is three points.

So go behind three numbers and put the point.

Final Answer - 5642.856

Find the following given f(x) = - 9x - 2.
a. f(4)
b. f( - 3)
c. f(0)
D. F(1/7)

Answers

Answer:

the answer for {a} is -38

Step-by-step explanation:

fill in the number for x then simplify

f(x)=-9x - 2

f(4) = -9 (4) - 2

     = -36 - 2 = -38

Use the same process for the other questions.

What’s 1+2?
Answer fasttttt
I will mark you as branly

Answers

Answer:

3

Step-by-step explanation:

uhhhhhhhhhhhhh yeah

Pls help i need an A my mom is going to get mad at me pls help i will give 62 points

Answers

Answer:

orange one

Step-by-step explanation:

just the orange one since its 5 divided by 1 is 5

10 divided by 2 is 5

20 divided by 4 is 5

They answers are both correct

First you will look at the first pair of numbers then do some multiples of the numbers

Then compare them to the other points given and determine if you have a line from there

A self-serve car wash charges $5.52 to use its facilities, plus an additional $0.95 for each minute the customer is at the self-serve
car wash. If Tiffany was at the car wash for 5 minutes, how much was she charged?
A. $10.52
B. $6.47
C. $10.27
D. $4.75

Answers

C. $10.52, 0.95x5=4.75; 4.75+5.52=10.52

What is the measure of angle ACB? (geometry)

Answers

Answer:

30°

Step-by-step explanation:

The angle between two secants is half the difference of intercepted arcs.

m∠ACB = 1/2(mAB - mDE)

Substitute the arc values and calculate

m∠ACB =1/2(80° - 20°) = 1/2(60°) = 30°

Answer:

∠ACB = 30°

Step-by-step explanation:

Finding ∠ACB :

∠ACB = 1/2 x (∡AB - ∡DE)∠ACB = 1/2 x (80° - 20°)∠ACB = 1/2 x 60°∠ACB = 30°

Use the picture attached.
How many lines of symmetry does the picture have?
A.
1
B.
3
C.
2
D.
0

Answers

Answer: look honestly I am not sure but Probably it is choice c which is 2 lines of symmetry .

Step-by-step explanation: 2 lines of symmetry because one line is horizontal and the other is vertical . One line will be in the middle of the flower which is vertical and the other line is horizontal as they will make equivalent sides . HOPE IT HELPS BUDDY .

Look at the following ratio:
3:8
Write an equivalent ratio if it was three times greater:

Answers

3:8 is the original ratio

multiple both sides by 3 to make it 3 times greater

the answer would be 9:24

hope this helps!!

Which kind of triangle must triangle XYZ be?

Answers

The type of triangle XYZ which is made, when the two line segments XY and ZY are tangent to circle, is an isosceles triangle.

What is the theorem of two tangents from external point?

When the two tangent are drawn to a circle from an exterior point then according to this theorem-

The length of these two tangents is equal.Both the tangents subtend equal angle at the center of the circle.The angle between the two tangent is bisect by the line joining to the exterior point and the center.

The figure of the circle O is attached below. Here, line segments XY and ZY are tangent to the circle.

As both the tangents are drawn from the same point, thus the length of XY and ZY is equal.

[tex]XY=YZ[/tex]

When the two sides of a triangle is equal, then it is known as the isosceles triangle.

Thus, the type of triangle XYZ which is made, when the two line segments XY and ZY are tangent to circle, is an isosceles triangle.

Learn more about the theorem of two tangents from external point here;

https://brainly.com/question/8705027

#SPJ1

Calculate the percent

Answers

35% of 35 is 12.25. The answer is 12.25.

If the area of a rectangle is x4 + 3x3 - 2x2 - 200 and the width is x + 5, find its length.

Answers

Answer:

Step-by-step explanation:

Area = 4x + 9 - 4 - 200

= 4x - 195

Since Area is lw, let the width be x + 5 and y be the unknown length.

Therefore (x + 5) (y) = 4x - 195

Answer:

x³ - 2x² + 8x - 40

Step-by-step explanation:

Area = length · width

(x⁴ + 3x³ - 2x² + 0x¹ - 200) = length · (x + 5)

length = (x⁴ + 3x³ - 2x² + 0x¹ - 200) ÷ (x + 5)

BRAINLIEST please if this helped!

How many hours would it take to watch 170 episodes of a show, each episode is about 23 minutes long.

Answers

Answer:

Around 65 hours(2 days and 17 hours)

Each episode is 23 minutes long, and there's 170 episodes, so multiply 23 by 170 being 23 minutes for each episode.

[tex]23 * 170 = 3,910[/tex]

Now, convert 3,910 minutes to hours by dividing for every 60 minutes.

[tex]3,910 / 60 = about~65[/tex]

Therefore, the answer is ≈65

the exact value is 65.16667

Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = (x-7)2 + (x-7)-1

A. F(x)=(x-7)2 and G(x)=(x-7)-1

B. F(x)=x²+x-1 and G(x) = x-7

C. F(x)=(x-7)-1 and G(x)=(x-7)²

D. F(x)= x-7 and G(x)=x²+x-1

SUBMIT

Answers

Answer:

The answer is D.

Step-by-step explanation:

What is the value of n?

Answers

8 x (N + 8) = (h+2) x 16
8n + 64 = 16n + 32
8n = 32

N = 4

I think that’s right.

A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit , in dollars, must be p(x) = 100 - x. The manufacturer also determines that the total cost of producing x units is given by C(x) = 3000 + 2x. a. Express the total revenue function R as a function of x. b. Express the total profit P as a function of x. c. How many units must the company produce and sell in order to maximize profit d. What is the maximum profit? e. What price per unit must be charged in order to make this maximum profit .​

Answers

Answer: See below

Step-by-step explanation:

a)

[tex]$$The total revenue R(x) is obtained as:\begin{align*} R\left( x \right) &= xp\left( x \right)\\ &= x\left( {100 - x} \right)\\ &= 100x - {x^2} &$$$ R(x) = 100x - {x^2} \end{align*}[/tex]

[tex]$$Thus, {R\left( x \right) = 100x - {x^2}[/tex]

b)  

[tex]$$The total profit is obtained as: \begin{align*} P\left( x \right) &= R\left( x \right) - C\left( x \right)\\ &= 1000x - {x^2} - 3000 - 20x\\ &= - {x^2} + 980x - 3000 \end{align*}[/tex]

[tex]$$Hence, P\left( x \right) = - {x^2} + 980x - 3000[/tex]

c)

[tex]$$For maximum profit dP/dx should be equal to zero: \begin{align*} \dfrac{{dP}}{{dx}} &= 0\\ - 2x + 980 &= 0\\ x &= 490 \end{align*}[/tex]

[tex]$$So, the required units to maximize profit is 490[/tex]

d)

[tex]$$The maximum profit is calculated as: \begin{align*} P\left( x \right) &= - {x^2} + 980x - 3000\\ P\left( {490} \right) &= - {490^2} + 980 \times 490 - 3000\\ &= 237100 \end{align*}[/tex]

[tex]$$Accordingly, the maximum profit is \$237100.[/tex]

e)

[tex]$$Calculating the price at maximum profit as: \begin{align*} p\left( x \right) &= 1000 - x\\ p\left( {490} \right) &= 1000 - 490\\ &= 510 \end{align*}[/tex]

[tex]$$Consequently, the price at the maximum profit is \$510.[/tex]

Write the inverse variation function given that y varies inversely with x, and y = 0.5 when x = 24.

Answers

Answer ↓

[tex]\large{\text{Refer\:to\:explanation\:pls}}[/tex]

Calculation ↓

If y varies inversely with x, we divide :

y = [tex]^k/_x[/tex]

Where

k = constant of proportionality

We are given that :

y = 0.5

x = 24

So we write :

0.5 = [tex]\Large\text{$^k/_{24}$}[/tex]

Multiply by 24 on [tex]\Large{\text{both\:sides\::}}[/tex]

12=k

[tex]\Large{\text{The\:constant\:of\:proportionality\:is\:12.}}[/tex]

So we have

y = 12/x

[tex]\footnotesize{\text{hope\:helpful}}[/tex]

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