Solve the following compound inequality 5x+7<3or3x-4>11

The equation of the line that passes through the points (2, 1 ) and (4,5) in the Cartesian coordinate plane is y = (2/3)(x - 4) + 5.

By subtracting the y coordinates [5 - 1] = 4, we get

Subtract the x coordinates in the same order  [4 - (-2)]  = [4 + 2] = 6

The slope is given by  y-coordinate/x-coordinate = 4/6  = 2/3.

Now, just choose one point say (4,5), and substitute the coordinates in this formula-

y - [y-coordinate of our point] - (slope)* [ x - ( the  x-coordinate of our point)]

y - 5  = (2/3)(x - 4)      ...........(adding 5 to both sides)

y = (2/3)(x - 4) + 5    

Hence, the equation of the line in the "slope-intercept" form is y = (2/3)(x - 4) + 5.

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The complete question is -

what is the equation of the line that passes through the points (-2,1) and (4,5) in the cartesian coordinate plane?

Answer:

You have chosen the correct answer

Step-by-step explanation:

He cannot spend more than 55. So the cost of the groceries has to be 55 or less.

He is only buying one package of eggs and the x represents how many packages of sugar he can purchase knowing that each box costs 11.50.

Diameter is 25.46 feet as circumference is 2πr and 2r is d so we just simply divide the circumference with π and get the value as 25.46

Step-by-step explanation:

Answer:

26.727feet

Step-by-step explanation:

Circumference = 22 x diameter

7

7x 84= 22d

d= 588

22

= 26.727feet

A quadrilateral with two distinct pairs of congruent and adjacent side is a kite.

A quadrilateral is a figure that has 4 sides and edges. Parallelogram, rectangle, square are all examples of quadrilateral.

Different quadrilaterals have different properties. A quadrilateral in which two distinct pairs of adjacent sides are congruent is termed as a kite.

Only kite is a quadrilateral which has the given property.

Some other properties of kite include-

1. diagonals of a kite are perpendicular to each other

2. along its main diagonal, a kite is symmetrical

3. one of the diagonals of the kite bisects the other

Thus, a quadrilateral with two distinct pairs of congruent and adjacent side is a kite.

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Answer: B

Step-by-step explanation:

Answer:

101.25

Step-by-step explanation:

To find the number of students, we need to first determine the total amount earned from the students. We can do this by multiplying the number of people by the cost per student: $3/student * 120 people = $<<3*120=360>>360.

Since the total amount earned was $435 and we know that $360 of that came from students, we can find the number of students by subtracting the total earned from students from the total amount earned: $435 total - $360 from students = $75 from adults.

Since the cost per adult was $4, we can divide the total amount earned from adults by the cost per adult to find the number of adults: $75 / $4/adult = <<75/4=18.75>>18.75 adults.

Since there were 120 people in total and 18.75 of them were adults, there must have been 120 people - 18.75 people = <<120-18.75=101.25>>101.25 students

the area of the triangle is 7.5

Nearest Twenty-one million streams will be available on the seventh day of song's release day. So, the correct option is option(A).

As we know the formula for the increase of population for compond increasing rate

A = P(1 + r)ᵗ---(1)

where P --> the intial population

r --> rate in decimal

t --> the time

A --> final population after t years

We have given that,

On the first day the song's release , it streams around 20 million population.

Rate of increase= 10% per day

We have to find the number of streams on seventh day.

so, time is 6 for it.

we have , P= 20 million ; t= 6

r = 10% = 10/100 = 0.1

putting all values we get,

A = 20 ( 1 + 0.1 )⁶

=> A = 20(1.01)⁶

=> A = 21.23

so the numnber of stream is 21.23 million ~ 21 million on seventh day.

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Complete question:

On the first day of a song's release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day? Round to the nearest million.

a)21 million

b)35 million

c)37 million

d) 38 million

The equation used to represent the distance between two points A and B is AB  =  x Cos 28°

The equation can be defined as a mathematical statement made up of expressions. The length of the line that connects two points is known as the distance between the two points. A triangle is a closed shape with 3 sides, 3 angles and 3 vertices. Triangle is a 2- dimensional figure.

As per the given question,

Let the hypotenuse be x

The two points A and B are on the base of the triangle so,

Base - length = AB

The distance between the two points is

⇒   cos Θ   =   base / hypotenuse

where,      base = AB

                hypotenuse = x

⇒   cos Θ   =   AB / x

⇒   AB   =   x cos Θ      →   1

Substitute Θ  =  28 in 1,

⇒   AB = x cos 28°

Therefore, AB = x cos 28° is the equation used to represent the distance between two points A and B.

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The complete question is

When θ = 28° , which equation can be used to find the distance from point a to point b?

Answer:

26,705

Step-by-step explanation:

First find 9% of 24500

24500 x 0.09 = 2205

Second add 2205 + 24500

2205 + 24500 = 26,705

The birthday polynomial with 10-12-2247 is given as follows:

f(x) = x^7 - x^5 - 2x^4 + 2x³ + 2x² - 4x + 7.

A birthday polynomial is created attributing each digit of the birthday as a coefficient of the polynomial.

The birthday in this problem is given as follows:

10-12-2247.

Thus the coefficients of each term of the polynomial, in order, are given as follows:

There are eight coefficients, hence the polynomial is of the seventh degree.

The signs of each coefficient is not important, they can be chosen at random, and thus the birthday polynomial for the date of 10-12-2247 can be defined as follows:

f(x) = x^7 - x^5 - 2x^4 + 2x³ + 2x² - 4x + 7.

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Answer: A C and D

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

Step 1: Plug in g = 17, h = 2

0.7 * 17 - 2.7 * 2

Step 2: Solve Using PEMDAS

11.9 - 2.7 * 2

11.9 - 5.4

6.5

With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.

Given that:

Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.

We need to know how many servings of 3/4 cup can be obtained from 13 cups.

now we need to divide 13 by 3/4

=13 ÷ 3/4  

= 13 × 4/3

= 52/3

= 17[tex]\frac{1}{3}[/tex]

With one third of a serving remaining, there are 17 servings total.

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The end behavior for this polynomial function is like;

f(x)--> +∞, as x--> −∞

f(x)--> +∞, as x--?>+∞

Given,

The polynomial function; y = 7x12 – 3x8 – 9x4

We have to find the nd behavior of the graph of the polynomial function;

End behavior of polynomial function;

The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f. In other words, if we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ), the end behavior of a function represents the trend of the graph.

Here,

We examine the polynomial's degree and the sign of the coefficient of the variable with the highest exponent to determine the graph's final behavior.

That is,

The end behavior for this polynomial function is like;

f(x)--> +∞, as x--> −∞

f(x)--> +∞, as x--?>+∞

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Clio went 20 times to the movies last year. This can be calculated using linear equations.

Given,

Number of times all together they went to movies = 30

Clio = 5 times more than Alex

Bernie = is 2 times more than Alex.

Let 'a' be the number of times Alex has gone to the movie:

Clio = 5a

Bernie = a + 2

So, we can calculate the number of times Clio went to the movies if we find out how many times Alex went. This can be calculated using the following linear equation:

Clio + Bernie + Alex = 30

5a + (a +2) + a = 30

7a + 2 = 30

7a = 30 - 2

7a = 28

a = 28 ÷ 7

a = 4 times

From solving the above equation, we got that Alex (a) went to the theatre 4 times last year. Now, substituting the value of 'a' we get:

Clio = 5a

Clio = 5*4 = 20 times

Bernie = a+2 = 4+2 = 6 times

So, we can conclude by saying that, Clio went 20 times to the movies last year.

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Answer:

4/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Upper right graph meets both of the requirement, the line lays on both (0,9) on the y axis and (3,0) on the x axis

Yes , Dilation do changes the position

Dilation is the process of changing the size or shape of an object. With the aid of the specified scale factor, it is a transformation that makes the objects smaller or larger.

The pre-image is the original figure before dilation, while the new figure is referred to as the image.

Dilation can be of two types:

Dilation does not change the shape of the object from preimage to image only size and position are changed.

The shape can be a point, a line segment, a polygon, etc. It should be noted that the shape can be enlarged or shrunk but the proportion of each dimension of the shape and the angles remain the same.

Hence , It is true that dilation changes the position

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By using tangent chord angle formula, the measure of angle FGH is 50°.

What is tangent chord angle?
The angle formed by the chord in the alternate segment is equal to the angle formed by the tangent through the point of contact of the tangent for any circle, according to the theorem.

Another name for the tangent-chord theorem is the alternate segment theorem.
We have to find the m ∠FGH.
Since, by tangent - chord angle theorem, the measure of a tangent-chord angle is twice the measure of the intercepted arc inside the angle.
GH = 2(m ∠FGH)⇒ m ∠FGH = 1/2(GH)
Here GH = 100° ⇒ m ∠FGH = 1/2(100°) m ∠FGH = 50°
Hence, by using tangent chord angle formula, the measure of angle FGH is 50°.

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Answer:

325.6g

Step-by-step explanation:

weight of phone + weight of case

= 310 + 15.6

= 325.6g

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The scale factor from the pre-image to the image is 2/5.

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

let the scale factor be m, so that the scale factor multiplied by the dimension of pre-image should give dimension of image.

so that we have,

20 x m = 8

20m = 8

divide both sides by 20

m = 8/20

m = 2/5

In conclusion the dilation factor is 2/5

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The number of hours taken by Meredith to edit a textbook if she works alone is 20 hours and time taken by Phil alone to edit text book is 60 hours..

Given that, Phil and Meredith work for a book publisher editing mathematics textbooks.

The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.

Let the time taken by Meredith be x.

Phil has less experience and takes three times​ as long as Meredith to edit a textbook.

So, time taken by Phil be 3x.

Now, 1/x +1/3x =1/15

⇒ (3+1)/3x =1/15

⇒ 4/3x =1/15

⇒ 4/x =1/5

⇒ x=20 hours

So, time taken by Phil =3x =60 hours

Therefore, the number of hours are 60 hours.

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Answer : y coordinate is 1

y = 2x + 1

x + y = 1

solve for y : x + y = 1

-x -x

y = -x + 1

Graph them,

(0,1) (x,y) y value is 1

Answer:

The slope of the line is 1

Step-by-step explanation:

gradient = difference of y-coordinates / difference of x-coordinates

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

gradient = 50-30 / 5-(-15)

gradient = 20/20

gradient = 1

Answer: im not exactly sure but i think 600,000m³

Step-by-step explanation: multiply 50,000m by 4 to get 200,000m and then multiply that by 3 (because 200,000 is only one section of the tunnel)

and by doing that you get 600,000m and then add cubed onto the end because it says cubic meters

Answer:

[tex]\boxed{\boxed{\tt x=\frac{1}{5}}\: \bf Or\:\boxed{\tt x=0.2}}[/tex]

Step-by-step explanation:

[tex]\tt 50x=10[/tex]

Divide both sides by 50:-

[tex]\tt \cfrac{50x}{50}=\cfrac{10}{50}[/tex]

Simplify:-

[tex]\tt x=\cfrac{1}{5}[/tex]

_____________________

Hope this helps!

Have a great day!

Step-by-step explanation:

convert, Keep Change Flip, convert back

[tex]\frac{23}{4} * \frac{2}{7}[/tex]

[tex]\frac{46}{28} \\[/tex]

[tex]1\frac{18}{28}[/tex]