Select the correct answer.
Graph the following system of inequalities.
y < 2x + 1
y <-x– 1

Step-by-step explanation:

you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.

if yes, it was a solution, and if just only one is false, then it was not a solution.

(3, -2) in

y + 4x = 10

5x - y = 13

so,

-2 + 4×3 = 10

-2 + 12 = 10

10 = 10 true

5×3 - (-2) = 13

15 + 2 = 13

17 = 13 false

so, it was NOT a solution.

The circumference of the circle is  [tex]C =\dfrac{20\pi}{4+\pi}[/tex]  when A is a minimum.

The circumference of the circle is the length of the curve traced out from the fixed point which is equidistant from the locus of the curve.

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

[tex]s=\dfrac{10-\pi r}{2}[/tex]

The area of the circle is = πr²

The area of the square is = s²

A represents the total area of the square and circle.

A=πr²+s²

Putting the value of s

[tex]A =\pi r^2 +(\dfrac{10-\pi r}{2})^2[/tex]

[tex]A =\pi r^2 +(\dfrac{10}{2})^2-2\times \dfrac{10}{2}\times \dfrac{\pi r}{2}+(\dfrac{\pi r}{2})^2[/tex]

[tex]A = { \pi r^2}(\dfrac{4+\pi}{4})-5\pi r+25[/tex]

For maximum or minimum [tex]\dfrac{dA}{dr}=0[/tex]

Differentiating with respect to r

[tex]\dfrac{dA}{dr}=\dfrac{2\pi r(4+\pi )}{4}-5 \pi[/tex]

Again differentiating with respect to r

[tex]\dfrac{d^2A}{dr^2}=\dfrac{2\pi (4+\pi )}{4}[/tex]    > 0

For maximum or minimum

[tex]\dfrac{dA}{dr}=0[/tex]

[tex]\dfrac{2\pi r(4+\pi )}{4}-5 \pi=0[/tex]

[tex]r = \dfrac{10\pi}{\pi (4+\pi)}[/tex]

[tex]r=\dfrac{10}{4+\pi}[/tex]

Therefore the circumference of the circle is

C = 2 π r

[tex]C = \dfrac{20 \pi }{4+\pi }[/tex]

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Check the picture below.

Answer:

6j-2j-2j+8+9+6e+5

= 6j - 4j + 6e + 24

= 2j + 6e + 24

Answer:

x=13

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (2*x+14)-((3*x+1))=0

1.1      Solve  :    -x+13 = 0

Subtract  13  from both sides of the equation :

                     -x = -13

Multiply both sides of the equation by (-1) :  x = 13

Answer:

( -2 , -1 ) , ( -2 , 3 ) , ( 1 , 0 )

if you need any other help , please let me know [ you'll have to pay ]

Answer:

which question

Step-by-step explanation:

give us clarity please

Given:

radius(R) = 12 units

arc = 134°

Find: area of sector

Plan: if you think about it, a sector area is a fractional part of the full area of the circle. It’s a pie piece.

A(circle) = π R^2

134° is 134°/360° = 67/180 That is 67/180 th of the full circle

area (S) = 67/180 (π R^2)

S = 67/180 (π )(12^2) = 67/180(144 π) = 54 π units^2 or

≈ 54(3.1416) ≈ 168.389 units^2

Double Check: ✅ ✅

Answer: 18 π units^2 or 168.39 units^2 approximately

Answer:

D - 56

Step-by-step explanation:

Multiply the height, 4 inches, the length, 7 inches, and the width, 2 inches, to get 56.

[tex]~~~~0.3x +0.2 = 5\\\\\implies 3x+2 = 50~~~~~~;[\text{Multiply both sides by 10}]\\\\\implies 3x = 50 -2\\\\\implies 3x = 48\\\\\implies x = \dfrac{48}3\\\\\implies x = 16[/tex]

Answer:

(x-6)^2 =40

Step-by-step explanation:

The correct answer is (x-6)^2 =40

why??

Expand (x-6)^2

x^2 -12x+36 =40

Transpos  40 to the left side

So,

x^2 -12x+36 -40

Which is

x^2 -12x -4=0

The required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

To answer the question, we need to know what trigonometric identities are

Trigonometric identities are relationships between the trigonometic ratios.

Since we require cosxsiny

Given that

So, subtracting both expressions, we have

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy - cosxsiny)

= sinxcosy + cosxsiny - sinxcosy + cosxsiny

= sinxcosy - sinxcosy + cosxsiny  + cosxsiny

= 0 + 2cosxsiny

= 2cosxsiny

sin(x + y) - sin(x - y) = 2cosxsiny

Dividing through by 2, we have

1/2[sin(x + y) - sin(x - y)] = cosxsiny

So, the required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

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Answer:

8 pigs are there according to the questions because in question there is told that there are pigs as well as ducks

Answer:

X=26

Combine multiplied terms into a single fraction to make the question more simple.

EX: 3(2x-16)/4

Answer:

x=26

Step-by-step explanation:

3/4(2x-16)=27

3/4×2(x-8)=27

3/2(x-8)=27

x-8=27×2/3

x-8=9×2

x-8=18

x=18+8

x=26

[tex] \qquad \qquad \rm \large \dag \: Answer \: \dag[/tex]

We have been given a Quadratic equation, where we have to find the real values of x ~

So, let's proceed with middle term splitting method :

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: x {}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x(}^{} x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: (x + 6)(x - 1) = 0[/tex]

Now, we have two conditions here~

Either (x + 6) = 0

[tex]\qquad \sf  \dashrightarrow \: x = - 6[/tex]

or (x - 1) = 0

[tex]\qquad \sf  \dashrightarrow \: x = 1[/tex]

Answer:

Sample proportion (phat) = 180/400 = 0.45z-critical value for 95% confidence interval is z-score for probability = 0.975 = 1.96CI = phat +/- z-critical value * sqrt((phat)(1-phat)/sample size)      = 0.45 +/- 1.96 * sqrt(0.45 * 0.55/400)    = 0.45 +/- 0.049     = 0.401, 0.499

Answer:

Decile

Step-by-step explanation:

Quartile only divides group into 4 => 25%, 50%, 75%, 100%

Decile divides group into 10 => 10%, 20%,..., 80%, 90%, 100%

The Answer would be: V≈ 376.99

Answer:

The answer is a angle indicated to this answer

if is right mark me the brainliest if not don't worry please

Answer:

Whenever finding a rule, figure out what x+1 relates to in terms of y (aka the slope). Also, figure out the y-intercept (0,y)

Example:

x+1 = y+2.

Slope: 2 ÷ 1 = 2.

The y-intercept is (0,9)

This would make the rule y=2x+9

Answer:

1. y=x 2. y=x-2 3. y=2x+10 4. y=5x 5. y= x+21

Step-by-step explanation:

Answer:

Whats remind?

Step-by-step explanation:

The residual plot will be the one showing the difference between the students that were expected to enroll and the real number of students who enroll.

A residual plot is one plot that shows the error or the residual.

In this case, the residual plot will show the difference between the students that were expected to enroll based on the equation given and the real number of students who enroll.

Note: This question is incomplete because the options are not given; due to this, the answer is based on general knowledge.

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Answer:

Question 1: Option B

Question 2: Option A

Step-by-step explanation:

Question #1:

Options are:

10¹¹ = 100000000000

10¹⁴ = 100000000000000

10¹⁵ = 1000000000000000

10¹² = 1000000000000

The power that exceeds the given quantity would be:

10¹⁴ ⇒ There are more digits.

Question #2:

We have the following expression:

981 44/51 = 61*981+44/61 = 981.72

We have to 10³ = 1000
So, the correct option is 10³

Answer:

90 degrees :)

Step-by-step explanation:

x and 90 are supplementary.

x + 90 = 180

x = 90

Answer:

(y+2) / y

Step-by-step explanation:

Just do what is says     f(x ) = (y+2) / y

Answer:

$400

Step-by-step explanation:

Hope the picture will help you........

Answer:

24x-18+6

Step-by-step explanation:

24x-18+6, 6+-18=-12, 24x-12=24x-2

Agree

-(-7) would be positive 7 which is what is plotted.

Also the other two numbers are also plotted

Answer:

Agree with all three

Step-by-step explanation:

The points displayed on the numberline are -2, 1, and 7. The points given to you are -(-7), 1, and -2. Because -(-7) = 7, and 1 = 1, and -2 = -2. All three numbers given are ineed plotted on the numberline below.

Answer:

A

Step-by-step explanation:

In this example, Emily is adding 9 to both sides of the equation. Doing so keeps the equation equal since the operation was done to both sides, so this must be the addition property of equality.