Solve the inequality for x and identify the graph of its solution.
|x+ 2|>2

[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]

Generally, the equation for the function is mathematically given as

f(x) = -5x + 11 + 10

Therefore

When x >= -1, the function decreases because f(x) = -5(x+1)+10.

This means that the function is dropping throughout this range[tex](-1,\infty).[/tex]

b)

A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).

In conclusion, The number line will represent

Using the point where the intervals with decreasing functions overlap

[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]

Read more about inequalities

https://brainly.com/question/20383699

#SPJ1

Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

Answer:

5 blue marbles

10 Red marbles

3 Green marbles

Step-by-step explanation:

5 times 2 = 10

then 5-2 =3

Add 5+10+3

=18 Marbles in total

Answer:

if a and b are both negative numbers, the product is a positive number

Answer: [tex]133^{\circ}[/tex]

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

[tex]4x+5+x+15=180\\\\5x+20=180\\\\5x=160\\\\x=32[/tex]

This means that [tex]m\angle A=4(32)+5=\boxed{133^{\circ}}[/tex]

Answer:

7

Explanation:

Use the distance formula to find the answer

Answer:

7 units

Step-by-step explanation:

since the x- coordinates of L and M are equal , both - 1 then the length of LM is the absolute value of the difference of the y- coordinates.

LM = | 4 - (- 3) | = | 4 + 3 | = | 7 | = 7

or

LM = | - 3 - 4 | = | - 7 | = 7

Answer:

Step-by-step explanation:

The area of the swimming pool on the scale drawing will be 300 sq. centimeters.

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

For the given scale drawing 1 centimeter represents 2 meters, therefore, the length of 40 meters in one scale drawing will be equal to,

40 meters = 40/2 centimeters = 20 centimeters

The width of 30 meters one scale drawing will be equal to,

30 meters = 30/2 centimeters = 15 centimeters

Now, the area of the swimming pool on the scale drawing will be,

Area= 20 centimeters × 15 centimeters = 300 sq. centimeters

Hence, the area of the swimming pool on the scale drawing will be 300 sq. centimeters.

The complete question is:

A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters. then what is the area of the swimming pool on the scale drawing?

Learn more about Scale ratio:

https://brainly.com/question/13770371

#SPJ1

Answer:

54

Step-by-step explanation  

(area of mat subtracted from area of room)-center of mat to wall

Volume is a three-dimensional scalar quantity. The volume of the composite figure is 14 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the composite figure is,

Volume = (1/3 ×1.5 × 2 × 2) + (2 × 1.5 × 4)

             = 2 ft³ + 12 ft³

             = 14 ft³

Hence, the volume of the composite figure is 14 ft³.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ1

The statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 6 + 4i

Multiplied by 3:

= 18 + 12i

If we plot on the coordinate plane there will be no rotation the scalar has changed by multiplying with a real number.

Thus, the statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

The attached graph represents the piecewise function h(x)

Which of the following is the graph of the piecewise function

[tex]h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right[/tex]

The function is given as:

[tex]h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right[/tex]

The above means that the piecewise function has 3 domains

Next, we plot the graph using a graphing tool

See attachment for the graph of the piecewise function h(x)

Read more about piecewise function at:

https://brainly.com/question/11827078

#SPJ1

Step-by-step explanation:

please mark me as brainlest

Answer: 450 Minutes

Step-by step explanation:

135-x)/5 = hours connie runs

x/7 = hours Bonnie runs

(135-x)/5 + x/7 = 24

135-x + 5x/7 = 120

945-7x+5x = 840

-2x = -105

x = 52.5 miles = distance of Bonnie

52.5 miles / 7 m/hr = 7.5 hours = 450 minutes

Answer:

  (b)  y = 18/x; y = 9/4

Step-by-step explanation:

Different kinds of variation are generally described by the equation ...

  y = k·( ) . . . . . . . where k is the constant of proportionality

__

What goes in parentheses depends on the kind of variation. Here is a partial list of kinds that may be seen in algebra problems.

The value of k can be found by solving the variation equation with given values of the variables.

__

The variables x and y are said to vary inversely, so the appropriate equation is ...

  y = k(1/x) = k/x

Using the given values, we can find k:

  9 = k/2

  9·2 = k = 18

So, the equation is ...

  y = k/18

__

Using the above equation, the value of y for x=8 is ...

  y = 18/8 = 9/4

Note: you can also get there by realizing that x=8 is 4 times x=2, so the new value of y will be the old value of y multiplied by the inverse of this factor. 1/4 times the old value of y: (1/4)9 = 9/4.

Answer:{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}

Step-by-step explanation:

Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.

Random sampling is the method of selecting the subset from the set to make a statical inference.

Utilizing two six-sided number solid shapes, each named with the numbers 1 through 6.

The number of the total events will be given as,

Total events = 6²

Total events = 6 x 6

Total events = 36

The total sample is given below.

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.

More about the sample method link is given below.

https://brainly.com/question/15125943

#SPJ2

Answer:

[tex]\fbox {B. CA}[/tex]

Step-by-step explanation:

Picture the line segment :

⇒ A ---------------- C ------------------ B

Then :

⇒ CA + CB = AB

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex]8.6 + 5.6x - 1.5 = 40.7\\5.6x = 33.6\\x=6[/tex]

Answer:

Step-by-step explanation:

solve for x

8.6 + 5.6x - 1.5 = 40.7

5.6x = 40.7 - 8.6 + 1.5

5.6x = 33.6

x = 33.6 : 5.6

x = 6

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

check

8.6 + 5.6 * 6 - 1.5 = 40.7

40.7 = 40.7

the answer is good

A quadratic equation is in the form of ax²+bx+c. The time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The complete question is:

A ball is thrown from an initial height of 2 feet with an initial upward velocity of 31 ft/s. The ball's height h (in feet) after 7 seconds is given by the following, h=2+31t-16t². Find all values of t for which the ball's height is  16 feet. Round your answer(s) to the nearest hundredth.

The time at which the height of the ball is 16 feet can be found by,

h = 2 + 31t - 16t²

16 = 2 + 31t - 16t²

16 - 2 - 31t + 16t² = 0

16t² - 31t + 14 = 0

[tex]t = \dfrac{-(-31)\pm \sqrt{(-31)^2-4(16)(14)}}{2(16)}\\\\[/tex]

t = 0.717 , 1.221

Hence, the time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

#SPJ1

Answer:

Step-by-step explanation:

When matching graph to inequality, the first things to look for are the nature of the boundary line (solid or dashed), and the direction of shading relative to the boundary line (above or below, left or right).

The boundary line of the solution set of an inequality will be solid if the line is included in the solution. That is, the inequality will include the "or equal to" case. The corresponding inequality symbols are ≤ or ≥.

The boundary line of the solution set will be dashed if the line is not included in the solution. The corresponding inequality symbols are < or >.

The shading will be above the boundary line if the solution set includes larger y-values than those on the boundary. This will be the case when the inequality is of the form y > ( ) or y ≥ ( ).

For inequalities of the form y < ( ) or y ≤ ( ), the shading will be below the boundary line.

Similarly, the shading for an inequality of the form x > ( ) will be right of the boundary line, where x-values are greater. For inequalities of the form x < ( ), the shading will be to the left of the boundary line.

In the given graph, both boundary lines are solid, so both inequalities will include the "or equal to" case. This eliminates choices A, B, D.

The shading is above the quadratic boundary line, and below the linear boundary line, so the inequalities can be expected to be of the forms ...

These forms match choice C:

Answer:

No, the table does not represent a function.

Step-by-step explanation:

By definition, a function will not have 2 or more results for the same input.

The table shows two values of y for the same x:  (2,1) and (2,4).  The same input, 2, results in two different values, 1 and 4.

See attached image.

If the 72% of its original amount of C-14. Then the number of years will be 3285.

The complete question is attached below.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

A hiker in Africa discovers a skull that contains 72% of its original amount of C- 14.

Then the function is given below.

[tex]\rm N= N_0 \ e^{-kt}[/tex]

Where, N₀ is the initial amount of C - 14, t is the number of the years, k is constant that is 0.0001, and N be the amount of the C - 14 at t years.

[tex]\rm N= N_0 \ e^{-0.0001 \times t}[/tex]

We have N = 0.72N₀, the time will be

[tex]\rm 0.72N_0 = N_0 \ e^{-0.0001 \times t}\\\\\rm 0.72 \ \ \ \ = \ e^{-0.0001 \times t}[/tex]

Take log on both side, then we have

ln 0.72 = -0.001 × t × ln e

  -0.33 = -0.001 × t

         t = 3285 years

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ1

The complete question is

"In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet. Triangle N Q L has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, Q M, and L P. The length of line segment N S is x + 10 and the length of line segment S R is x + 3.

What is RS?

4 feet, 7 feet, 10 feet, 14 feet"

Answer:

The Length of RS would be 7 ft. so the correct option is B.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

Given:

NS = (x + 10) ft

SR = (x + 3) ft

Based on the centroid theorem, the centroid, S will divide the median, line segment NR, into NS and SR,

NS : SR = 2 : 1.

Therefore:

NS = 2(SR)

x + 10 = 2(x + 3)

Solve for x

x + 10 = 2x + 6

x - 2x = -10 + 6

-x = -4

x = 4

SR = (x + 3) ft (SR is same as RS)

substitute the value of x

SR = (4 + 3) ft

SR = RS = 7 ft

Hence, The Length of RS would be 7 ft. so the correct option is B.

Learn more about line segment here;

https://brainly.com/question/19065352

#SPJ1

Answer: B, 7 feet

Step-by-step explanation:

Answer:

add 2 to each side of the equation

Step-by-step explanation:

x-2=10

To solve for x, we need to add 2 to each side of the equation

x-2+2 = 10+2

x = 12

Answer:6.76 cm2

Step-by-step explanation:

You have multiply 2.6 by 2.6 and then you have to square the cm so it will be 6.76 cm2

Answer: A. 6.76 [tex]cm^2[/tex]

Step-by-step explanation:

Area is just length times width.

The length is 2.6 cm and the width is 2.6 cm, so just multiply the two.

2.6 x 2.6 = 6.76 [tex]cm^2[/tex]

Make sure you don't forget the squared in questions that ask for area.

Answer:

12 and 18

Step-by-step explanation:

Lets say the two numbers are A and B, with A the smaller.

We are told that A/B = 2/3     [in the ratio of 2 to 3]

We also find that A + B = 30  [Their sum is 30]

Rearrange the first equation to isolate A:

A/B = 2/3

A = 2B/3        [multiply both sides by B]

Now use this value of A in the second equation:

A + B = 30

2B/3 + B = 30

(2/3)B + (3/3)B = 30

(5/3)B = 30

B = (30)(3/5)

B = 6*3

B = 18

Since A + B = 30:

A + B = 30

A + 18 = 30

A = 12

A is 12 and B is 18

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

Check:

Does A/B = 2/3??

(12/18) = (6/9)

(6/9) = (2/3)   YES

Does A + B = 30  ???

12 + 18 = 30   YES

The equation represents a side that is perpendicular to side d is y = -2x+5. Option B is correct.

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The given linear equation in the problem is;

y = 2x+5

Compare the equation with the standard equation;

[tex]\rm y = mx+ c[/tex]

where,

m is the slope and c is the intercept. After comparing, we will get; Hence, the slope and y-intercept will be;

m = 2

The product of the slope of the two-line perpendicular to each will be -1.

m₁×m₂ = -1

The equation represents a side that is perpendicular to side d is;

y = -2x+c.

m₁=2

m₂=-2

m₁×m₂ = -1

The equation represents a side that is perpendicular to side d is y = -2x+5.

Hence, option B is correct.

To learn more about the slope, refer to the link;

https://brainly.com/question/3605446

#SPJ1

Answer:

-5 + 12 i

Step-by-step explanation:

(2 + 3i)^2   = 4  + 6i  + 6i  + 9i^2

                 =   4   + 12 i   + 9(-1)

                     = - 5 + 12 i

Gracie’s overtime rate of pay would be $635.06.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Gracie earns 17.25/h for a 37.5h week, plus extra for overtime.

For one hour she earns $17.25

For 37.5h she earns = 37.5h x 17.25

                                   = $646.87

The total money she earns = $646.87 + overtime pay

During store inventory, she worked 48.5h. Her gross earnings were $1,471.88.

= 48.5h x 17.25

= $836.625

So, $836.625 + overtime pay = $1,471.88

overtime pay = $1,471.88 - $836.625 = $635.06

Hence, Gracie’s overtime rate of pay would be $635.06.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1

Answer:

C. m∠1 = m∠4

Step-by-step explanation:

A. m∠2 + m∠4 = 180°

∠2 and ∠4 are vertically opp. angles which means m∠2 = m∠4.

Hence, it's a false statement.

B. m∠2 + m∠3 = 180°

∠2 and ∠3 are corresponding angles which means m∠2 = m∠3.

It's a false statement.

C. m∠1 = m∠4

∠1 and ∠4 are another pair of corresponding angles which clearly states that m∠1 = m∠4.

Therefore, it's a true statement.

D. m∠1 = 90°

As clearly visible in the diagram;

It's a false statement.