Write the inequality

Write The Inequality

Answers

Answer 1

The inequalities which the number lines represent are as follows;

x > 3x <= 2.

While writing inequalities represented on a number line;

We must observe the direction of the line; and also observe the shading on the starting point of the line.

In case 1:

The set of x values are represented as greater than 3;

Therefore, the inequality is; x > 3

In case 2:

The set of value are represented as less or equal to 2;

Therefore, the inequality is; x <= 2

The number line to represent the street sign is as in the attached image;

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Write The Inequality

Related Questions

help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing

Answers

Answer:

x= 5 or x= -5

Step-by-step explanation:

[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]

Cross multiply:

(x +4)(x -4)= 3(3)

Expand:

[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

[tex]x = ± \sqrt{25} [/tex]

x= 5 or x= -5

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

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A cylinder with a diameter of 10 inches and a height of 12 inches. Determine the area of the cross section formed by slicing the cylinder down the center and perpendicular to the bases.

Answers

Answer:

188.571

if you did directly answer may differ

Step-by-step explanation:

you can see it from the picture above

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

What is a cylinder?

"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".

For the given situation,

The diameter of the cylinder, d = 10 inches

The height of the cylinder, h = 12 inches

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is a rectangle.

So, the length of the rectangle, l = 12 inches.

The breadth of the rectangle, b = 10 inches

The formula for the area of the rectangle is A= l × b

⇒ [tex]A=12[/tex] × [tex]10[/tex]

⇒ [tex]A=120[/tex]

Hence we can conclude that the area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

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A triangle has two sides of length 9 and 3. What is the smallest possible whole-number length
for the third side?

Answers

Answer:

The answer is 11

Step-by-step explanation:

hope this helps a little bit

Bob spends $650 for a gym membership plus $75 for each hour with a personal trainer. Is the description linear or exponential?

Answers

Answer:

y = 75x + 650

So I think it's linear.

(a) 95% of what is 57?

(b) What number is 35% of 40?

Answers

Answer:

a=54.15 and b=14

Step-by-step explanation:

SOMEBODY PLZ HELP NO LINKS PLZ AN THANK YOU
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at he time. A line that models the data is given by the equation y=-1.62x + 18 where y represents the wait time and x represents the number of staff available. Use the equation to make a conjecture about the wait if there are 10 staff members available


A the wait time will be about 18 minutes

B the wait time will be about 5 minutes

C the wait time will be about - 2 minutes

D the wait time will be about 2 minutes

Answers

Answer:

D. The wait time will be about 2 mins.

Step-by-step explanation:

You have to substitute the x into the equation as we know it is 10.

So, y = (-1.62 × 10) + 18.

Thus, y = -16.2 + 18.

Then, y would equal 1.8.

Therefore you would round to the nearest minute which would be 2.

Hope this helps :)

Identify the explicit formula for the sequence given by the following recursive formula:
(see picture below)

A) f(n) = 2 – 4(n – 1)
B) f(n) = –4 + 2(n – 1)
C) f(n) = 4 – 2(n – 1)
D) f(n) = –2 + 4(n – 1)

Answers

If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

22% of x is 26.4 Find X

Answers

Answer:

x=120

Step-by-step explanation:

this is obtained by finding 22% of x, and equating it to the answer as shown below

x *22/100 = 26.4

22x/100 = 26.4

22x = 2640

x =120

Mr Moore has 4 types of ice cream flavors. Each flavor can make 15 individual ice creams. 70% of these ice creams are in waffle cone. How many of these ice creams are in a waffle cone?

Answers

Answer:

42 ice creams in a waffle cone

Step-by-step explanation:

First we try to find how many ice cream does Mr. Moore has:

4*15=60 ice cream

It is said it 70% of these ice creams are in waffle cones. So 60*70/100= 60*7/10=6*7=42 ice creams in a waffle cone.

the question is what is 4p - 9

Answers

Answer:

4xp-9

Step-by-step explanation:

Mr.Jones is building a patio outside of his back door.The patio will be 8.5 ft long and 10.7 ft wide.What is the area of the patio that Mr.Jones is building?

Answers

38.4 is the area. it’s 8.5 ft long so you do 8.5x2 and you get 17, and then for 10.7 you do 10.7x2 and get 21.4, then you add 21.4 and 17 together.

Answer:

90.95

Step-by-step explanation:

The third term and an arithmetic sequence is 12 in the system is 16. If the first term is a1, what is the explicit formula for this sequence?

Answers

Answer:

i think the answer would be 20

+
-
1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990
through 2009 can be approximated by the function M = f(0) = 0.0037(t + 14.979), where t = 0
represents the year 1990.
(a) Describe the transformation of the common function f(x) = x2. Then sketch the graph over the
intervalo s t < 19.
(b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer.
(c) Use the model from part (b) to predict the mortgage debt in the year 2014.

Answers

The give quadratic function is dilated by the given coefficient, and shifted

horizontally to the left.

(a) The transformation of the common function f(x) are;

f(t) is made more wider than f(x) f(t) is shifted more to the left than the common function f(x).

Please find attached the required graph created with MS Excel

(b) Where t = 0, represent the year 2,000 we have;

f(t) = 0.0037·(t + 24.979)²

(c) The mortgage debt in the year 2014 is M ≈ $5.622 trillion

Reasons:

The given function is f(t) = 0.0037·(t + 14.979)²

Year 1990 is t = 0

(a) The given common function is; f(x) =

The transformation of the quadratic function are;

The coefficient 0.0037 widens the common function such that f(t) is wider

than f(x).

The constant, 14.979 added to the variable, t, shifts the graph of the

common function horizontally to the left.

Therefore;

f(t) is wider and shifted to the left more than the common function f(x)

Please find attached the required graph over the interval 0 ≤ t ≤ 19 created with MS Excel.

(b) The amount of mortgage debt in 2,000 is given as follows;

With t' = 0 represent the year 2,000, we have;

At year 1990, t' = -10

Which gives, t' = t + 10

From which we have;

f(t) = 0.0037·(t + 14.979)² = 0.0037·(t' + 10 + 14.979)²  = 0.0037·(t' + 24.979)²

Therefore;

The function with t = 0 representing the year 2,000 is presented as follows;

f(t) = 0.0037·(t + 24.979)²

(c) In the year 2014, we have;

t = 2014 - 2000 = 14

Which gives;

f(14) = 0.0037·(14 + 24.979)² ≈ 5.622

The mortgage debt in the year 2014 is M ≈ $5.622 trillion dollars

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What Is 2x3
get it right

Answers

Answer:

6

Step-by-step explanation:

66

Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (- 2, - 3 ) into the partial equation

- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

y = x - 1 ← equation of line

The following system of equations will be used to answer all remaining questions.
(8 - 12)
x + 2y = 11
2x + 3y = 18
=
Write the system as a matrix equation then identify the coefficient matrix.

Answers

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

Given the system of equation;

x + 2y = 11 2x + 3y = 18

This equation can be represented in matrix form as [tex]AX = b[/tex]

where:

A is the coefficient of  the matrixX is the variablesb is a column matrix

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

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When a number is divided by 5, it has a remainder of 4.
The number is between 35 and 40.
What is the number?

Answers

Answer:

37

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)

Find the value of n:
(3√7)^5=7^n

Answers

The value of n in the equation (3√7)^5 = 7^n is 5.32288

How to find the value of n in the given equation

In the given equation (3√7)^5=7^n, n is solved as follows

(3√7)^5 = 7^n

= (3√7)^5 = 7^n

7.937253933^5 = 7^n

31502.96087 = 7^n

take ㏑ of both sides

㏑ 31502.96087 = n ㏑ 7

divide through by ㏑ 7

n = ㏑ 31502.96087 / ㏑ 7

n = 5.32287517

the value of n is 5.32288

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Two angles of a quadrilateral measure 215° and 70°. The other two angles are in a ratio of 2:13. What are the measures of those two angles?

Answers

The sum of the interior angles of a quadrilateral is 360°.

The ratio of 2 angles is 2 : 13. Take them as 2x° & 13x°.

Now, solve for x.

[tex]\mathfrak{215+70+2x+13x=360} [/tex]

[tex]\mathfrak{285+15x=360} [/tex]

[tex]\mathfrak{15x=360-285} [/tex]

[tex]\mathfrak{15x=75} [/tex]

[tex]\mathfrak{x=\dfrac{75}{15}} [/tex]

[tex]\underline{\mathfrak{x=5}} [/tex]

So,

2x = 2(5) = [tex]\boxed{\mathfrak{10^{\circ}}} [/tex]

13x = 13(5) = [tex]\boxed{\mathfrak{65^{\circ}}} [/tex]

[tex]\mathbb{MIREU} [/tex]

The expression 0.6+0.08n can be used to find the cost, in dollars, of making n photocopies. How much will clayton have to pay to make 32 photocopies?

Answers

Answer:

26.2

Step-by-step explanation:

Answer:

$3.16

Step-by-step explanation:

0.6+0.08n

Since n represents photocopies, then we replace n with 32.

0.6+0.08(32)

Now we multiply.

0.6+2.56

Finally, add.

0.6+2.56=3.16

So, Clayton will have to pay $3.16 to make 32 photocopies.

-hope it helps

24. Solve for x: 3x - 2(x - 4) = 5(2x + 4) -3

Answers

x=-1

3x-2x+8=10x+20-3

x+8=10x+17

-9x=9

x=-1

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]x-2\left(x-4\right)=5\left(2x+4\right)-3[/tex]

[tex]-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8[/tex]

[tex]3x-2x+8=5\left(2x+4\right)-3[/tex]

[tex]\mathrm{Combine\: like\: terms}[/tex]

[tex]x+8=5\left(2x+4\right)-3[/tex]

[tex]\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17[/tex]

[tex]x+8=10x+17[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]x+8-8=10x+17-8[/tex]

[tex]x=10x+9[/tex]

[tex]\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}[/tex]

[tex]x-10x=10x+9-10x[/tex]

[tex]-9x=9[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-9[/tex]

[tex]\frac{-9x}{-9}=\frac{9}{-9}[/tex]

[tex]\bold{x=-1}[/tex]

Question 3 help pls

Answers

Answer:

< greater than

Step-by-step explanation:

u need to turn each one into decimals than find out which ones greater that's how you'll get your answer

Answer: The answer would be D

what is integration ....nd differentiation​

Answers

Answer:

Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.

Answer:

integration is the opposite of differentiation

Step-by-step explanation:

integration requires addition of 1 to the power and then division by the value eg

the integral of

[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]

while in differentiation, u subtract one and multiply by the value. eg

the differential of

[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]

A triangle and a square are drawn on dotty paper with dots 1 cm apart. What is the area of the region coloured red? ​

Answers

Answer:

≈ 0.9 cm²

Step-by-step explanation:

I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.

F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.

Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,    

F(x,2)

(2-3) / (x-1) = -2/3            

2x-2 = 3       x = 2.5          

*F (2.5 , 2)

G (3,y)

(y-3) / (3-1) = -2/3     y = 5/3      

*G (3 , 5/3)

*point I (3 , 2)

segment FI = 3-2.5 = 0.5 = 1/2

segment GI = 2 - 5/3 = 1/3

area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083

area of polygon  DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²

PLEASE HELP I HAVE A TIME LIMIT ON THIS!!

Answers

You haven’t shown us the options, but it will be anything where there is 4x

If y is not on its own, then the coefficient (the number before the letter) of x should be 4 times bigger than the coefficient of y

List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Answers

Answer:

<N=<T

<P=<Q

<O=<R

<M=<S

Step-by-step explanation:

they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.

Find the expected value of the winnings from a game that has the following payout probability distribution: Skip Payout ($) 1 2 5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 Expected Value = [?] Round to the nearest hundredth.​

Answers

Answer:

$4.35

Step-by-step explanation:

The expected value of a random variable X, often denoted as E(X), indicates the probability-weighted average of all possible values/events. The general formula of expected value is

[tex]\mathrm{E(\textit X \mathrm)} = \displaystyle\sum_{\mathclap{i=1}}^{k} \ X \times P(X) \\ \\ \\ = X_{1} \times P(X_{1}) \ + \ X_{2} \times P(X_{2}) \ + \ X_{3} \times P(X_{3}) + \ \cdots \ + X_{k} \times P(X_{k})[/tex].

Therefore, the expected value of the winnings from a game is

[tex]\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth})[/tex].

solve this please this equation

Answers

Answer:

x = 80 degrees

Step-by-step explanation:

Draw a line through DG and name the intersection of that line and line AB as K.

By the same side interior angle theorem, GKC is 40 degrees.

By the sum of interior angles of triangle theorem, CGK is 180-70=110 degrees.

By supplementary angle theorem, x = 80 degrees.

Donna buys 400 shares of stock for $23 per share and pays a 1% commission. She sells them 6 years later for $23.25 per share and pays a flat fee of $30.00. What is her total purchase cost?

Answers

Answer:

She sells them six years later for$23.25 per share, and pays a $30 flat fee. ... 1 of 4. Purchase price of 400 shares = 400*23 =9200. total purchase costStep-by-step explanation:

A 25-inch television has a screen that is 15 inches high. How wide is the screen?

inches

Answers

Answer:

20 inches

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]a^2 + b^2 = c^2\\15^2 + b^2 = 25^2\\225 + b^2 = 625\\b^2 = 400\\b = \sqrt{400} \\b = 20[/tex]

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