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Answer:

Step-by-step explanation:

integrate with respect to x

Area is symmetric so will be twice the integral from zero to 1

( I cannot seem to figure out how to make the lower limit negative in this editor)

[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])

[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]

[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]

A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]

A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))

A = 6(⅔)

A = 4 units²

Answer:

Well then...

Step-by-step explanation:

Answer:

55 degrees

Step-by-step explanation:

a line is 180 degrees. also, all angles in any triangle add up to 180 degrees. so, find the missing angle in the triangle by 180-30-25=125 degrees. Then to find angle 4, 180-125=55 degrees.

Answer:

(-2, 2).

Step-by-step explanation:

  x - y = -4

-5x + 6y = 22    Multiply the first equation by 5:

5x - 5y = -20    Now  Add the last 2 equations:

y = 2.

Substitute y = 2 in the first equation:

x - 2 = -4

x = -4 + 2

x = -2.

Answer:

x=1/2, y=9/2. (1/2, 9/2).

Step-by-step explanation:

x-y=-4

-5+6y=22

--------------

y=x-(-4)

y=x+4

-5+6(x+4)=22

-5+6x+24=22

6x+24-5=22

6x+19=22

6x=22-19

6x=3

x=3/6

x=1/2

y=1/2+4=1/2+8/2=9/2.

Answer:

Because it is decimal

Step-by-step explanation:

Decimal do not have remainder

Answer:

12.1

Step-by-step explanation:

Answer:

12.1 Seconds

Step-by-step explanation:

96.8/8=12.1

the answer is D newscast

Answer:

[tex]\frac{5}{1}[/tex] is the same as 5:1

Answer:

281.25 miles

Step-by-step explanation:

2=250

1=125

0.5=62.5

0.25=31.25

250+31.25=281.25

Answer:

p=1/8     q=3/4

Step-by-step explanation:

-2p+7q=5

-6p+35q=51/2

cancel out a variable

(-5)(-2p+7q=5)

-6p+35q=51/2

10p-35q=-25

-6p+35q=51/2  =

4p=1/2

4p/4=1/2  /4

p=1/8

substitute p=1/8 into one of the equation to find q

-2p+7q=5

-2(1/8)+7q=5

-1/4+7q=5

7q=5+1/4

7q=21/4

q= 21/4  /7

q=3/4

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).

Answer:d=18FT

Step-by-step explanation:

YOUR WELCOM :)

Answer:

.

Step-by-step explanation:

Answer: D

Step-by-step explanation: less than or equal to 4. graph leads to negative

[tex]\huge \bf༆ Answer ༄[/tex]

For converting radians to degree, we multiply the value in radian by [tex] \dfrac{180}{π}[/tex]

That is ~

Answer:2

Step-by-step explanation:

x+3=5

subtract 3 from both sides

x=5-3

x=2

Answer:

x=    2

Step-by-step explanation:

The correct statement is The cost of natural gas is $0.83 per unit.

The equations representing her utility costs in July and December are known as simultaneous equations. These equations have to be solved jointly in order to determine the cost of electricity and natural gas.

Given the equation gotten by Karina: 116y = 96.28

Where y represent the cost of natural gas

In order to determine the value of y, divide both sides of the equation by 116

y = 96.28 / 116

y = $0.83

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

For the parabola:

h(t) = -at2 + bt, the maximum occurs at -b/2a

For h(t) = -16t2 + 576t that is -576/(-2)(-16), or -576/32, or 18.

The projectile is at its highest point at 18 seconds.

Answer:

  1.  x^2 +2x -24 = 0

  2.  x^2 -7x +10 = 0

Step-by-step explanation:

If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...

  (x -p)(x -q) = x^2 -(p+q) +pq

The x-term coefficient is the opposite of the sum of solutions.

The constant is the product of solutions.

This knowledge lets you write down the standard form equation with no particular effort.

1.  x^2 +2x -24 = 0

2.  x^2 -7x +10 = 0

Step-by-step explanation:

.....................

Answer:

-2(x^2+1)

Step-by-step explanation:

1. Divide The Numbers:

-2x^2+2(-3/3)

-2x^2+2(-1)

2. Multiply The Numbers:

-2x^2+2(-1)

-2x^2-2

3. Common Factor:

a. Factor by grouping

-2x^2+2(-3/3)

-2x^2-2

b. Factor by Grouping

-2x^2-2

-2(x^2+1)

-2x^2+(2)(-3/3)

Solution: -2(x^2 + 1)

Using linear function concepts, it is found that the correct option is:

B. l, ll and lll only

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

If the slope is positive.

If the slope is negative:

In this problem, the equation is:

[tex]6x - 3y = - 9[/tex]

Placing it into the standard format:

[tex]3y = 6x + 9[/tex]

[tex]y = \frac{6}{3}x + \frac{9}{3}[/tex]

[tex]y = 2x + 3[/tex]

Both slope and intercept are positive, hence, quadrants I, II and III, option B.

You can learn more about linear functions at https://brainly.com/question/16302622

equation of the line which has the given slope "m" and whivh passes through the given point...

a.(2,10) and m= -4

b.(4,-4) and m=3/2

c.(0,0) and m=3/5

the a,b, and c have the same formula

Answer:

Step-by-step explanation:

Assuming the density is the same for both lollipops, we can calculate what volume is required to make the 2158.7kg the same density of the smaller lollipop.  

Small Lollipop

r = 2cm

V=4 /3πr^3

V = 33.51 cm^3

Mass is 50 g in 33.51 cm^3, so the density is:

50g/(33.51 cm^3) = 1.492 g/cm^3

We have 2158.7kg in the larger lollipop.  That is 2158700 grams.

Find the volume required to contain 2158700 grams with a density of 1.492 g/cm^3.  :

       (2158700 grams)/(1.492 g/cm^3) = 1446775 cm^3

V=4 /3πr^3

1446775 cm^3 = (4/3)*π*r^3

r = 70.12 cm

Answer:

expected profit=$-3

Step-by-step explanation:

1 tail=-5

1 head=3

3/2=1.5

1.5*3=4.5

1.5*-5=-7.5

4.5-7.5=-3

$-3

Answer:

Slope=0.12   power is down by 28%

Step-by-step explanation:

:)