Solve the compound inequality.
4x+40 and 4x- 614
Graph the solution on the number line.

Answer:

Option B.

Step-by-step explanation:

The given relation is

[tex]x=2y^2+6[/tex]

At y=-2,

[tex]x=2(-2)^2+6[/tex]

[tex]x=2(4)+6[/tex]

[tex]x=8+6[/tex]

[tex]x=14[/tex]

Similarly,

At y=-1,

[tex]x=2(-1)^2+6=8[/tex]

At y=0,

[tex]x=2(0)^2+6=6[/tex]

At y=1,

[tex]x=2(1)^2+6=8[/tex]

At y=2,

[tex]x=2(2)^2+6=14[/tex]

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.

Answer:

b = 28

Step-by-step explanation:

Given

a(7x+2)=bx+8

=> 7ax + 2a = bx + 8

in both the equation there is a term containing x and a term not containing x.

since value of both equation is equal. hence

term containing x on both side will be equal to each and

term independent of x will be equal in both the equation

thus

7ax = bx

2a = 8

=> a = 8/2 = 4

now, plugging a = 4 in 7ax = bx

7*4x = bx

=> b = 7*4x/x = 28.

Thus, value of b is 28.

Answer: 172

 If something is below underwater then it is a negative. They are under water they are both negatives. To find the distance you subract both number and get their absolute value.

-227-55= -172

Absolute value=172

Answer:

B. (8,1)

Step-by-step explanation:

x+y=9

x-y=7

x=7+y

Therefore in the equation x+y=9 , x=7+y

(7+y)+y=9

7+2y=9

2y=9-7

2y=2

y=2/2=1

therefore x=7+y

=7+1=8

The solution of the system of equation are,

⇒ (8, 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

System of equations are,

x + y = 9  .. (i)

x - y = 7  .. (ii)

Now, We can simplify as;

From (i);

x = 9 - y

Put in (ii);

x - y = 7

9 - y - y = 7

9 - 2y = 7

9 - 7 = 2y

2y = 2

y = 1

From (i);

x = 9 - y

x = 9 - 1

x = 8

Thus, The solution of the system of equation are,

⇒ (8, 1)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

━━━━━━━☆☆━━━━━━━

▹ Answer

-9 1/2 → -9.5

▹ Step-by-Step Explanation

-2 1/6 - 7 1/3

-(2 1/6 + 7 1/3)

-((2 + 7) + (1/6 + 1/3))

-(9 + (1/6 + 1/3))

FINAL ANSWER = -9 1/2

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

The law of large numbers, in probability and statistics, states that as a sample size grows, its mean gets closer to the average of the whole population.

Step-by-step explanation:

In business or at work, the term "law of large numbers" is sometimes used in a different sense to express the relationship between scale and growth rates. 

I hope I helped you^^ !

Step-by-step explanation:

The displacement of a particle d (in km) as a function of time t (in hours) is given by :

[tex]d=2t^3+5t^2-3[/tex]

Displacement at t = 4 hours,

[tex]d(4)=2(4)^3+5(4)^2-3=205\ km[/tex]

Velocity of particle is given by :

[tex]v=\dfrac{dd}{dt}\\\\v=\dfrac{d(2t^3+5t^2-3)}{dt}\\\\v=6t^2+10t[/tex]

Velocity at t = 4 hours,

[tex]v=6(4)^2+10(4)=136\ km/h[/tex]

Acceleration of the particle is given by :

[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{d(6t^2+10t)}{dt}\\\\a=12t+10[/tex]

At t = 4 hours,

[tex]a=12(4)+10=58\ km/h^2[/tex]

Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively.

Answer:

Last Choice: Angles F and C are congruent

Step-by-step explanation:

Angles F and C are congruent because they are vertical angles.

All other pairs of angles in the choices are not necessarily congruent.

Answer:

x = -0.23

Step-by-step explanation:

2000=5000e^4x

=> e^4x = 2000/5000 = 2/5

taking the natural logarithn on LHS and RHS

ln e^4x = ln2/5

=> 4x lne = ln2/5

we know ln e = 1, also ln a/b = lna - ln b

ln 2 = 0.693, ln 5 = 1.609

4x = ln2 - ln5

4x = 0.693 - 1.609

x = -0.916/4 = -0.229

Thus, x = -0.23 rounded to two decimal place.

Answer:

-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer

Step-by-step explanation:

plz give me brianlist

Answer:

Hey there!

1 liter is equal to 1000 milliliters.

0.25 liters is equal to 250 milliliters.

One mega meter is equal to 1000000 meters.

1.2 Mm= 1200000 meters.

Hope this helps :)

Step-by-step explanation:

1l = 1000ml

Convert 0.25 litres to milliliters

0.25 x 1000 = 250 ml

1 megametre = 1000000

1.2 x 1000000= 1200000m

Answer:

  90°

Step-by-step explanation:

The sum of the arcs around the circle is ...

  2x +4x +4x +2x = 360°

  x = 360°/12 = 30°

The numbered angle is the average of the measures of the intercepted arcs, so is ...

  (4x +2x)/2 = 3x = 3(30°) = 90°

The numbered angle is 90°.

Answer:

he correct statements are 5th and 6th.

Step-by-step explanation:

The data set from the dot plot is as follows:

A      B

25 25

25 25

25 25

26 26

26 26

26 26

27 26

28 27

28 27

29 27

30 27

31 28

31 28

32 29

33 29

33 30

34 31

35 31

35 32

35 34

Use Excel to compute the value of Mean, Median, and Standard deviation for both the data sets.

Set A:

[tex]\text{Mean}_{A} = 29.7\\\text{Median}_{A} = 29.5\\\text{SD}_{A} = 3.658[/tex]

Set B:

[tex]\text{Mean}_{B} = 27.95\\\text{Median}_{B} = 27\\\text{SD}_{B} = 2.544[/tex]

For a symmetric data, Mean = Median.

For left skewed data, Mean < Median

For both the sets of data Mean > Median.

The standard deviation of set A is more than that of set B.

The mean of set A is 29.7 and the median is 29.5. Both values are quite close to each other.

Thus, the correct statements are 5th and 6th.

Answer:

h(t) = h₀ + v₀·t + 1/2 g t² with

h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²

4.9 seconds

Step-by-step explanation:

16.087 (t - 2.48648)^2 - 94.5842 = 0

solving as a quadratic equation yields t ≈ 4.9 seconds

Answer:

4.9

Step-by-step explanation:

In this case, the ratio of the surface area is equal to the square root of the ratio of surface area ; 6 : 9

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

The ratio of a cube with a surface area of 36 m² to a cube with a

surface area of 81 m².

The face assumed to be square, hence the area is equal to the square of the length.

36 / 81 = 6 / 9

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

Answer:

y = -1/3x +5

Step-by-step explanation:

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

The y intercept is 5  ( where it crosses the y axis)

The slope is

m = (y2-y1)/(x2 -x1)

We need two points on the line ( 0,5) and (3,4)

m = (4-5)/(3-0)

   = -1/3

y = -1/3x +5

Start by finding the b or the y-intercept.

This is the point where the line crosses the y-axis.

Our y-intercept is (0,5) or just 6.

From here, we look for clear cut points on the line.

Notice that if we go down 1 unit and to the right 3 units,

our point will end up exactly in the middle of the cross.

So our slope is -1/3.

So the equation is -1/3x + 5.

Answer:

6.75

Step-by-step explanation:

2+10+1+8+12+6+23+5+8+4+4+3+2.59+5.11+5.18+9.07 = 107.95

now we count how much numbers you added up which equals 16 and divide it with 107.95

107.95/16 = 6.746875

now you cant pay half a penny or such and such

so your round it off at 6.746 to 6.75

and there you have it

Answer:

its $5.18 on edge

Step-by-step explanation:

yw

Answer:

60 wpm

Step-by-step explanation:

I suck at explaining but I really hope I helped :) You have to divided 1500 by 25

Answer:

1 word every second

Step-by-step explanation:

25x60=1,500

1,500 words/1,500 seconds=

1 word/1 second

Answer:

Hey there! The answer to your question is below.

Step-by-step explanation:

The answer would be 2 ⅖

I attached a picture, sorry for my bad handwriting

By xBrainly

The product of the reciprocal of 2/3, 1/8, 5 is 2 2/5

Given: 2/3, 1/8, 5

Reciprocal of 2/3 = 3/2

Reciprocal of 1/8 = 8/1

Reciprocal of 5 = 1/5

Product = 3/2 * 8/1 * 1/5

= (3 * 8 * 1) / (2 * 1 * 5)

= 24/10

= 2 4/10

= 2 2/5

Read more:

https://brainly.com/question/20400188

Answer:

A. 2614 m^2 to the nearest square meter.

Step-by-step explanation:

Volume of the sphere

= 4/3 pi r^3 = 4000 pi

4/3 r^3 = 4000

r^3 = 4000 * 3/4 = 3000

r = ∛(3000)

The surface area

=4 pi r^2

= 4 * pi *  (∛(3000)^2

= 4 * pi * 208.008

= 2613.91 m^2.

Answer:

0.3 Train is late

Step-by-step explanation:

20% - Train is early

50% - Train is on time

add

0.2 + 0.5 = 0.7

subtract from 1

1 - 0.7 = 0.3

Answer:

60 feet cubed

Step-by-step explanation:

We are told type of pyramid is a rectangular pyramid.

The volume of a rectangular pyramid = 1/3 × Length × Width × Height

We are told that the pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.

Volume for one of the pyramid =

1/3 × 4 × 5 × 4.5

= 30 cubic feet

Since the pyramid has the same measurements, that means the second pyramid also has the volume of = 30 cubic feet.

The total volume of the figure of the two pyramids stacked together = 30 cubic feet + 30 cubic feet = 60 cubic feet or 60 feet cubed.

Answer:

60 ft

Step-by-step explanation:

Answer:28oz-$4.89 is better deal. It is 17.5 cents per oz.

Step-by-step explanation:

Answer: The best option would be the 28 oz option

Step-by-step explanation:

First you would divide the dollar amount by the amount of ounces to get how much it is per ounce. For the 18 oz jar it is about 0.182 per ounce. For the 22 oz jar it is about .181 per ounce. For the 28 it is about 0.175 per ounce. Therefore the 28 oz is the best option.

Step-by-step explanation:

number of correct answer is x and

number of wrong answer is y

according to question

In the case of Radhika

5x-2y=30

x=10

y=10

In the case of Jay

5x-2y=-12

x=4

y=16

incorrect answer by Radhika is 10 and by jay is 16

Answer:

the answer is D) 5.3

Step-by-step explanation:

let the points (-3, 7) be x1 and y1 and the points (-8, 5) be X2 and y2 respectively, then

we know, distance formula = √ (x2- x1 )² + (y2 - y1 )²

= √ [ -8 - (-3) ] ² + (5 - 7)²

= √ (-5)² + (-2)²

= √ 25 + 4

= √ 29

= 5.3

Answer:

b

Step-by-step explanation:

not sure but i think b is correct

Hey there! :)

Answer:

False.

Step-by-step explanation:

In a point, the coordinates are in the format:

(x, y).

In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:

Move right 5, down 3.

Answer:

False

Step-by-step explanation:

To plot the point (5, -3) you would move right 5, then down 3.

Answer:

Let's call the length x. Since perimeter = 2 * (length + width) we can write:

6 = 2(x + 1/2)

3 = x + 1/2

x = 2 and 1/2

The answer is 2 and 1/2 miles long.

Answer:

2 miles

Step-by-step explanation:

Width, W = 1 mi.

Length = L

Perimeter, P = 6 mi.

2L + 2W = P:

2L + 2(1) = 6

2L + 2 = 6

2L = 6 - 2

2L = 4

L = 4 / 2

L = 2

Answer: 2 miles

If this is wrong then sorry!

Hope it help!

Answer:

94.6m³

Step-by-step explanation:

The diagram shown in this question is a trapezoidal prism.

The volume of a trapezoidal prism is calculated as:

L × H × (P + Q/2)

Where L = Length = 4m

H = Height = 4.3m

P = Base width = 8m

Q = Top width = 3m

The volume of the trapezoidal prism =

4 × 4.3 ×(8+3/2)

=4 × 4.3 ×(11/2)

= 94.6m³

Therefore, the volume of the trapezoidal prism to the nearest tenth = 94.6m³

Answer:

B. The graph is stretched vertically by a factor of 2

Step-by-step explanation:

A non-rigid transformation changes the shape of the curve.

In y + 5 = -2(x - 1)²