What is the average rate of change of the function f(x)=2x^2+x+5 over the interval -2<x<2?
A. -4
B. -1
C. 1
D. 4​

Answer:

q = -3/8

Step-by-step explanation:

Clearing out the fractions first simplifies this problem.  The LCD here is 8, so we multiply all three terms of 7/8 = q + 1/2 by 8 and simplify the result:

7 + 8q = 4.  

Combining the constants, we get:  8q = 4 - 7, or 8q = -3.

Finally, solve for q:

q = -3/8

Answer:

2 and 2/6ths

SBSE:

1. multiply the denominators together (in this case, 24)

2. multiply each numerator by the denominators

3. reduce the 5 to four, making 4/24ths into 28/24ths

4. subtract the fractions and whole numbers.

Answer:

It is 44

Step-by-step explanation:

The perimeter of the paralllelogram given is: 44 units.

Perimeter = 2(a + b), where a and b are the legs of the sides adjacent to each other.

Given the following:

Since opposite sides of a parallelogram are equal, therefore:

4y - 2 = 2y + 6

4y - 2y = 2 + 6

2y = 8

y = 4

2x + 2 = 3x - 1

2x - 3x = -2 - 1

-x = -3

x = 3

Perimeter of the paralllelogram = 2(AB + AD) = 2(4y - 2 + 3x - 1)

Plug in the values of x and y

Perimeter of the paralllelogram = 2(4(4) - 2 + 3(3) - 1)

Perimeter of the paralllelogram = 2(16 - 2 + 9 - 1)

Perimeter of the paralllelogram = 44 units.

Learn more about perimeter of a parallelogram on:

https://brainly.com/question/10919634

Answer:

XOC = 60

Step-by-step explanation:

AOC = DOB because they are vertical angles

AOX+XOC = 25+45

10+XOC = 70

XOC = 70-10

XOC = 60

Answer:

C'(-1,1)

Step-by-step explanation:

The coordinates of C are (-2,4).

The translation is (x+1,y-3), so we take the x value -2 and the y value 4 and plug it in.

(-2+1,4-3)

=(-1,1)

C' has the coordinates (-1,1)

Answer:

Step-by-step explanation:

By (x+1, y-3), the trapezoid wll move 1 point to the right, and 3 points down.

Answer:

[tex]x=7\\y=128\\z=128[/tex]

Step-by-step explanation:

Value of x:-

Form an equation:

[tex]4x+24=7x+3[/tex]  {opposite / vertical angles are equal}

Subtract 7x from both sides:

[tex]4x+24-7x=7x+3-7x[/tex]

[tex]-3x+24=3[/tex]

Subtract 24 from both sides:

[tex]-3x+24-24=3-24[/tex]

[tex]-3x=-21[/tex]

Divide both sides by -3

[tex]-3x/-3=-21/-3[/tex]

[tex]x=7[/tex]

Value of y and z:-

Value of x is 7 so replace x in the equations:

[tex]4(x)+24=52\\7(7)+3=52[/tex]

Now that we have the value of x, its easy to find y and z

[tex]52+52+y+z=360[/tex]

{complete circle makes 360°}

[tex]104+y+z=360[/tex]

[tex]y+z=360-104[/tex]

[tex]y+z=256[/tex]

Divide 256 by 2 to get value of each variable:

vertically opposite angles (y & z) are equal

[tex]256/2 = 128[/tex]

[tex]y=128\\z=128[/tex]

∴ CHECK: 128 + 128 + 52 + 52 = 360°

hope this helps...

Answer:

X=7

Y and Z = 128

Step-by-step explanation:

7X+3=4X+24

it is equal coz by the opposite angle

find the value of X

7x+3=4x+24--------------collect like term

3x=21----------divided by 3

x=7

then 7x+3=52

4x+24=52

SR is the line that measure 180°

that means (7x+3)+Z=180°

use the value of X into the equation

Z=180-52

Z=128

it means Z and Y are equal so Y= 128

Answer:

Step-by-step explanation:

Answer:

When you reflect over the x axis, you change all the y values to their opposites (switch the sign)

Step-by-step explanation:

Step-by-step explanation:

the diagonals are congruent

Answer:

1,946,075.95 AED

Step-by-step explanation:

Firstly, we write the general formula for an exponential increase as follows;

V(t) = A( 1 + r)^t

where V(t) is the value after some number of years t

A is the investment amount which is 100,000 AED

r is the rate of increase which is 16% = 16/100 = 0.16

t is the number of years which is 20

substituting these values;

V(20) = 100,000( 1 + 0.16)^20

V(20) = 100,000(1.16)^20

V(20) = 1,946,075.95 AED

Answer:

( √ 5 ) ( √ 5 ) 3

5*3

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

( √ 5 ) x ( 3 √ 5 )

=> 3  ( √ 5 x √5)

=> 3 x ( √25)

=> 3 x 5

=> 15

Answer:

[tex]x =5\sqrt 3[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we make use of Pythagoras theorem

[tex]x^2 + 5^2 = 10^2[/tex]

Solve the exponents

[tex]x^2 + 25 = 100[/tex]

Collect like terms

[tex]x^2 =- 25 + 100[/tex]

[tex]x^2 =75[/tex]

Take square roots

[tex]x =\sqrt{75[/tex]

Expand

[tex]x =\sqrt{25*3[/tex]

Split

[tex]x =\sqrt{25}*\sqrt 3[/tex]

[tex]x =5\sqrt 3[/tex]

Answer:

Negative 80 x + 28 y minus 56

4 (negative 20 x + 7 y minus 14)

Answer:

D

Step-by-step explanation:

its just rabdom numbers

Answer:

D thats just a number no sequence or any thing

Step-by-step explanation:

Answer:

Scott sent 23 text, Elsa sent 16 and Miguel sent 64 test.

Step-by-step explanation:

Answer:

C and G

Step-by-step explanation:

Given

(x - 2)² = - 3x + 6 ← expand left side using FOIL

x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2 → G

x + 1 = 0 ⇒ x = - 1 → C

Answer:

[tex]x=360[/tex]

Step-by-step explanation:

The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,

[tex]m<MON = MN\\[/tex]

Substitute,

[tex]x=2\pi[/tex]

However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,

[tex]degree=\frac{\pi}{180}radians[/tex]

Substitute,

[tex]degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\[/tex]

Simplify,

[tex]degree=\frac{180*(2\pi)}{\pi}\\degree=360[/tex]

Answer:

x = 45°

Step-by-step explanation:

Given arc length = 2π cm

         Radius, r = 8 cm

      [tex]Arc \ Length = 2 \pi r (\frac{x}{360})[/tex]

             [tex]2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ[/tex]

ensalada no son vulgares

Answer:

C) 75

Step-by-step explanation:

If January corresponds to x=0 then June corresponds to x=5.

Knowing this we can replace all values of x with 5.

[tex]v=x^4-50x^2+700[/tex]

[tex]v=5^4-50(5)^2+700[/tex]

[tex]v=625-1250+700[/tex]

[tex]v=75[/tex]

Answer:

-2 ≤ n < 8

Step-by-step explanation:

_________________

Answer:

Your answer would be X ≥ -3

Step-by-step explanation:

Given:

Principal value = $2300

Rate of interest = 14% compounded continuously.

To find:

The time taken by Brad's investment to triple.

Solution:

The formula for amount after the compound interest (Continuously) is:

[tex]A=Pe^{rt}[/tex]

Where, P is the principal, r is the rate of interest in decimal and t is the time period.

Triple of Brad's investment is

[tex]3\times \$ 2300=\$ 6900[/tex]

Substituting [tex]A=6900,P=2300\ r=0.14[/tex], we get

[tex]6900=2300e^{0.14t}[/tex]

[tex]\dfrac{6900}{2300}=e^{0.14t}[/tex]

[tex]3=e^{0.14t}[/tex]

Taking natural log on both sides, we get

[tex]\ln 3=\ln e^{0.14t}[/tex]

[tex]1.0986=0.14t[/tex]                [tex][\because \ln e^x=x][/tex]

[tex]\dfrac{1.0986}{0.14}=t[/tex]

[tex]7.84714=t[/tex]

After approximating the value, we get

[tex]t\approx 7.85[/tex]

Therefore, Brad's investment will take 7.85 years to triple.

Answer:

Option (2)

Step-by-step explanation:

To get the transformation applied in triangle ABC to map triangle DEF we will apply the following rules.

If a point A of triangle ABC maps the point D of triangle DEF,

Coordinates of point A → (-4, -5)

Coordinates of point D → (2, 6)

First point A is shifted to quadrant (4) from quadrant (3),

Rule for the translation,

A(x, y) → A'(x + 6, y - 1)

A(-4, -5) → A'(2, -6)

Followed by reflection across x-axis (y = 0)

A'(x, y) → D(x, -y)

A'(2, -6) → D(2, 6)

Therefore, Option (2) will be the answer.

Answer:

A. 2x - (4x + 3) = 12

Step-by-step explanation:

A. 2x - (4x + 3) = 12

B. -4(4y+)+y=3

C. 2 (4x+3) - y

D. -4x+4 x-3=3

Given equation:

-4x+y = 3. (1)

2x - y = 12. (2)

From (1)

y = 3 + 4x

Substitute y = 3 + 4x into (2)

2x - y = 12 (2)

2x - (3 + 4x) = 12

Or

2x - (4x + 3) = 12

2x - 4x - 3 = 12

- 2x = 12 + 3

- 2x = 15

x = 15/-2

x = -7.5

Substitute x = -7.5 into (1)

-4x+y = 3 (1)

-4(-7.5) + y = 3

30 + y = 3

y = 3 - 30

y = -27

Answer:

The answer is "[tex]125 \ in^2[/tex]"

Step-by-step explanation:

There is a base of five on every triangular face and a height of ten in. The field of the formulation

[tex]A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)[/tex]

   [tex]= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\[/tex]

The base of the square has a formula area

 [tex]A = s^2 = (5\ in)^2 = 25 \ in^2[/tex]

The total area consists of the sum of the four-face area and the base: [tex]total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}[/tex]

                   [tex]= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2[/tex]

Mode=17

Step-by-step explanation:

Mode is to find the number which reoccurs/keeps on appearing.

Hope this helps u

Answer:

subtracting 8 from both sides of the equation

Step-by-step explanation:

You have to get rid of +8 before squaring both sides.