Find the area of the region bounded by the graphs of the equations. y = −x2 + 4x, y = 0

Answers

Answer 1

Answer:

Area = 32/3

Step-by-step explanation:

To find the area bounded by the graphs, we will

need to first equate the y values;

-x^2 + 4x = 0

x^2 = 4x

divide both sides by x

x = 4

So the area we want to calculate now is the integral of -x^2 + 4x from 0 to 4

Please check attachment for the integration solution

Find The Area Of The Region Bounded By The Graphs Of The Equations. Y = X2 + 4x, Y = 0

Related Questions

solve the literal equation for y
3=5x+6y

Answers

Answer:

y=1/2-5x/6

Step-by-step explanation:

Answer:

y=1/2-5x/6

if this is helpful than good job

An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7), what would be the coordinates of its image? (-1,7) O (-5,1) O(-9,5) O (-1, 13)​

Answers

Answer:(-5,1)

Step-by-step explanation:! X= -3 so -3-4= -7, Y= 7 so 7+2=9, So the coordinates will be (-7,9) I hope that I could help you

seriously need help with this question ​

Answers

Answer:

No it cannot be

Step-by-step explanation:

Since an obtuse angle is more than 90 degrees, it can't have a complement

Hope this helps!

Juanita has 2 rolls of film with 36 exposures and 3 rolls of film with 24 exposures. How many photos can she take with this film? She can take ____ pictures.

Answers

Answer= 144

Step-by-step explanation:

In triangle ABC, the measure of angle B is 29 more than three times the measure of angle A. The measure of angle is 01" more than the measure of angle A. Find the measure of onch angle
Anglo Ameasures

Answers

Angle C is 31, Angle A is 30, and Angle B is 119.

Step-by-step explanation:

The measures of each of the angles in triangle ABC are

A = 18

B = 83

C = 79

Calculating the measure of angles

From the question, we are to determine the measure of each of the angles in triangle ABC

From the given information,

The measure of angle B is 29 more than three times the measure of angle A

That is,

B = 3A + 29 ------- (1)

Also, the measure of angle C is 61 more than the measure of angle A

That is,

C = 61 + A --------- (2)

We can also write that

A + B + C = 180 ----- (3) (Sum of angles in a triangles)

Put equations (1) and (2) into equation (3)

A + 3A + 29 + 61 + A = 180

5A + 90 = 180

5A = 180 - 90

5A = 90

A = 90/5

A = 18

Put the value of A into equation (1)

B = 3A + 29

B = 3(18) + 29

B = 54 + 29

B = 83

Put the value of A into equation (2)

C = 61 + A

C = 61 + 18

C = 79

Hence, the measures of each of the angles are

A = 18

B = 83

C = 79

Learn more on Calculating the measures of angles here: https://brainly.com/question/13611159

Here is the complete and correct question:

In triangle ABC, the measure of angle B is 29 more than three times the measure of angle A. The measure of angle C is 61 more than the measure of angle A. Find the measure of each angle.

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DIRECTIONS: Each number if 4 less than 3 times the previous number.

Starting with the number 10, build a sequence of 5 numbers.

Answers

Answer:

10, 26, 74, 218, 650

Step-by-step explanation:

n * 3 - 4

Answer:

The sequence of 5 terms is:  10, 26, 74, 218, 650

Step-by-step explanation:

By following the instructions, we can build the sequence by doing:

[tex]a_n= 3\,a_{n-1}-4[/tex]

So, using this formula and starting with 10 we get

[tex]a_1=10\\a_2=3\,(10)-4=26\\a_3=3\,(26)-4= 74\\a_4=3\,(74)-4=218\\a_5=3\,(218)-4=650[/tex]

How many groups of 3/4 are in 3

Answers

Answer:

there are 12 fourths in 3

What is the additive inverse of -17 ?

a) -16
b) -71
c) 17
d) 0​

Answers

Answer:

c)17

Step-by-step explanation:

additive inverse example:Using the same approach, if x is a negative number, then its additive inverse is equal and opposite in sign to it. This means that the additive inverse of a negative number is positive. For instance, if x equals -12, then its additive inverse is y = 12.

It is said that a student’s college GPA (grade point index) can be predicted by his/her HOCS (higher- order cognitive skills) such as problem identification, analytical reasoning, and content integration skills. What other potential predictor variables, numerical and categorical, would you want to use that might lead to the development of a multiple regression model for predicting a student’s college GPA? Briefly describe the direction of the slope that each of these variables should have.

Answers

Answer:

apart from using the hoc to predict the college students gpa, some other variables can be used

1. the students intelligent quotient

2. ability to remember

3. study time

4. gym practice

Step-by-step explanation:

1. the students intelligent quotient

gpa has a positive relationship with iq. they are both directly related. The more the iq of a a student, the greater is his ability to understand and have a good gpa. the slope will therefore be positive and be in an upward direction.

2. ability to remember

the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction

3. study time

gpa and practice have a positive relationship. the more a student studies, the more likelihood exists of having a better gpa. the slope would be upward bound.

4. gym practice

gpa and gym practice are not related so the slope would be in a downward direction.

when interpreting the direction of relationship after carrying out such an analysis, it is useful to watch out for the accompanying signs of the variables. if the sign of the beta coefficient is positive then a positive relationship with the dependent variable exists.

Can you please help with this question?

The model represents an equation. What value of X makes the equation true?
A) -15
B) -3
C) 15
D) 3

Answers

Answer:

D) 3

Step-by-step explanation:

-3x+6=2x-9

subtract 6 from both sides

-3x=2x-15

subtract -2x from both sides

-5x = -15

divide both sides by -5

x= 3

What is the volume of a rock if it has a density of 1.25g/ml if it has a mass of 7525g?

Answers

Answer:

[tex]\boxed{\tt v= 6,020 \ mL}[/tex]

Step-by-step explanation:

The density formula is

[tex]d=\frac{m}{v}[/tex]

Rearrange the formula for v. Multiply both sides of the formula by v, then divide both sides by d.

[tex]d*v=\frac{m}{v}*v[/tex]

[tex]d*v=m[/tex]

[tex]\frac{dv}{d}=\frac{m}{d}[/tex]

[tex]v=\frac{m}{d}[/tex]

The volume can be found by dividing the mass by the density. The mass is 7525 grams and the density is 1.25 grams per milliliter.

[tex]m= 7525 \ g\\d=1.25 \ g/mL[/tex]

[tex]v=\frac{m}{d}[/tex]

[tex]v=\frac{7525\ g}{1.25\ g/mL}[/tex]

Divide. Note that the grams, or "g" will cancel each other out.

[tex]v=\frac{7525 \ }{1.25\ mL}[/tex]

[tex]v=6020 \ mL[/tex]

The volume of the rock is 6,020 milliliters.

Answer:

V = 6020

Step-by-step explanation:

will  make it sure and simple

formula of density d = mass / volume

where d = 1.25 g/mL

and mass = 7525 g

plugin values into the formula

1.25 = 7525 / Vol

Vol = 7525 / 1.25

Vol = 6020

Johnson 15 Miller 40 Davis -20 Campbell -5 Winters 10 The rushing yards from one week for the top. A) -20, -5, 10, 15, 40 B) -5, -20, 10, 15, 40 C) -5, 10, 15, -20, 40 D) 40, 15, 10, -5, -20 5 quarterbacks in the state are shown. Put the numbers in order from greatest to least.

Answers

The answer is B) -5, -20, 10, 15, 40

1 7/10 x 2/3 what is the product

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1 \frac{2}{15}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{1 \frac{7}{10} \times \frac{2}{3} }[/tex]

Convert the mixed number into improper fraction

[tex] \longrightarrow{ \sf{ \frac{10 \times 1 + 7}{10} \times \frac{2}{3}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{17}{10} \times \frac{2}{3}}} [/tex]

To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term

[tex] \longrightarrow{ \sf{ \frac{17 \times 2}{10 \times 3}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{34}{30}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{17}{15} }}[/tex]

Convert the improper fraction into mixed number

[tex] \longrightarrow{ \sf{1 \frac{2}{15} }}[/tex]

Hope I helped!

Best regards! :D

Which of the following is a quadratic equation that has the roots x = 3 and x = −4?

Answers

Answer:

x^2 + x = 12

Step-by-step explanation:

(x - 3)(x + 4) = 0

x^2 + 4x - 3x - 12 = 0

x^2 + x - 12 = 0

x^2 + x = 12

The quadratic equation that has the roots x = 3 and x = −4 will be x²+x-12=0.

What is a quadratic equation?

Any equation using the formula ax² + bx + c = 0 When x is a variable and a, b, and c are any real values; a quadratic equation is one where a≠0.

It is given that the quadratic equation that has the roots x = 3 and x = −4.

We know that one such equation is provided by x²-(a+b)x+ab=0 if a and b are the roots of a quadratic equation.

x²-(a+b)x+ab=0

Substitute the value of an as 3 and b as -4.

x²-(3-4)x+(3)(-4)=0

x²-(-1)x-12=0

x²+x-12=0

Thus, the obtained quadratic equation will be x²+x-12=0.

Learn more about quadratic equations here:

brainly.com/question/17177510

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what is the difference of fractions​

Answers

they have different numbers on a number line

solve the equation of
q/4+7=5​

Answers

Answer:34

Step-by-step explanation: Truax the best way to go to next time

Answer:

Step-by-step explanation:

q in (-oo:+oo)

q/4+7 = 5 // - 5

q/4-5+7 = 0

1/4*q+2 = 0 // - 2

1/4*q = -2 // : 1/4

q = -2/1/4

q = -8

q = -8

Traces of surface x2 + y2 − z2 = 1. Determine the equation for the family of traces in x = n.

Answers

Answer:

[tex]\mathbf{y^2 -z^2 =1- n^2}[/tex]

Step-by-step explanation:

Give that:

the surface equation is  [tex]x^2 +y^2 -z^2 =1[/tex]

from the family of traces in x = n given that [tex]x^2 +y^2 -z^2 =1[/tex] , the equation can be represented as :

[tex]n^2 +y^2 -z^2 =1[/tex]

[tex]\mathbf{y^2 -z^2 =1- n^2}[/tex]

This represents a family of hyperbola for all values of n expects that n = ± 1

So, if n = ± 1,

Then

[tex]y^2 - z^2 = 0[/tex]

(y-z) (y+z) = 0

y = ± z

So, for n = ± 1, it is a pair of line for y = z, y = -z

Denise bought a book that cost $9.95, a set of bookmarks that cost $1.95, and a magazine that cost $4.95. What was the cost of these three items all together before tax?

Answers

Answer:16.05 $

Step-by-step explanation: Put all the numbers in a vertical format and add them all up

                  9.95

                 +1.15

                 +4.95

                  --------

                   16.05

What is x?
1. 2.7( 5.1x + 4.9) = 3.2x + 28.9


2. 5(11x - 18) = 3(2x + 7)

Answers

Answer:

1. x≈1.4825

2. x≈2.26531

Step-by-step explanation:

Answer:

1. 2.7( 5.1x + 4.9) = 3.2x + 28.9

X= 1.48

2. 5(11x - 18) = 3(2x + 7)

X= 2.26

20 POINTS HELP ASAP Which of the following expressions is equivalent to 18 m - 12? 2(-9 m + 6) -1(18 m + 12) 6(3 m - 2) -3(-6 m - 4)

Answers

Hey there! I'm happy to help!

The correct answer is 6(3m-2). This is because if you use the distributive property (multiplying outside number by each term in the parentheses) you end up with 18m-12

6(3m)=18m

6(-2)=-12

18m-12

The other answer options don't yield this result.

Have a wonderful day! :D

how many 0s are in the product of 4 x 100? 4 x 1,000? 4 x 10,000?

Answers

Answer:

the product of 4 x 100= 2 zeros

the product of 4 x 1,000= 3 zeros

the product of 4 x 10,000= 4 zeros

Step-by-step explanation:

4 x 100= 400, 2 zeros

4 x 1,000= 4,000, 3 zeros

4 x 10,000= 40,000, 4 zeros

Hope this helps!

Plz name brainliest if possible!

The table shows conversions of common units of length.
Unit of Length
Customary System Units Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
Approximately how many inches are in 2500 millimeters?
064 inches
098 inches
O 635 inches
984 inches

Answers

Answer:

B. 98 inches

Step-by-step explanation:

Took the quiz on Edge 2020

How much will a person pay for 1.4 pounds of bananas at a price of $2.34 per pound

Answers

Answer:

$3.276

Step-by-step explanation:

From the question, we are told that the price of banana is

1 pound = $2.34

1.4 pounds = $ y

Cross Multiply

1 pounds × $y = 1.4 pounds × $2.34

$y = 1.4 pounds × $2.34/1 pounds

$y = $3.276

Therefore, a person will pay $3.276 for 1.4 pounds of banana

1+1=??????????????????????????????

Answers

Answer:

2

Step-by-step explanation:

Order of Operations: BPEMDAS

B - Brackets

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Step 1: Add

1 + 1 = 2

It is 2
1 + 1 = 2 hope it helped

Evaluate 3a²b + 1–20 if a=-5, b=9, and c=-10.

Answers

Answer:

=656

Step-by-step explanation:

Evaluate for a=5,b=9

3(52)(9)+1−20

3(52)(9)+1−20

ps. there is no c

Determine the slope for a line that passes through points (2,5) and (3, 1).

Answers

Answer: -4

Step-by-step explanation:

To find the slope, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-5}{3-2} =\frac{-4}{1}=-4[/tex]

Now, we know the slope is -4.

8r – 4(7r – 5) what is the answer to this math problen

Answers

Answer:

-20+20

Step-by-step explanation:

8r-28r+20

-20r+20

Answer:

−20r+20

Step-by-step explanation:

Let's simplify step-by-step.

8r−4(7r-5)

Distribute:

=8r+(−4)(7r)+(−4)(−5).

=8r+−28r+20

Combine Like Terms:

=

8r+−28r+20

=(8r+−28r)+(20)

=−20r+20

You found the prime factorization of the number 72 explain how you can check your answer you found the prime factorization of the number 70 to explain how you can check your answerYou found the prime factorization of the number 70 to explain how you can check your answer

Answers

Answer:

182=9=3×3 Hence we have two 3's as prime factors. The prime factorization for 72 is 2×2×2×3×3 .

Step-by-step explanation:

g(x) = x2 - 2
h(x) = 3x + 5
Find (g- h)(x)

Answers

Answer:

Brainliest PLS

g=x2−2/x

h=3x+5/x          

x=5/h−3

Step-by-step explanation:

Which expression is equivalent to

36x^2 - 84x

answer choices

A. 12x (3x + 7)
B. 12 (3x + 7)
C. 12x (3x -7)
D 12 (3x -7)

Answers

The answer was is C. 12x(3x-7)
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