Solve the inequality. 5x-6≥9

Answer:

Solve for X: -3x + 5y=13 is x=5/3y + −13/3

(Solve for y: 3/5x + 13/5)

Solve for X: x+4y=-10 is x= −4y−10

(solve for y: y= −1/4x + −5/2)

Step-by-step explanation:

Solve for X in  -3x + 5y=13:

Step 1: Add -5y to both sides.

−3x+5y+−5y=13+−5y

−3x=−5y+13

Step 2: Divide both sides by -3.

−3x/−3 = −5y + 13/−3

x = 5/3y + −13/3

Solve for Y in -3x + 5y=13:

Step 1: Add 3x to both sides.

−3x + 5y + 3x = 13 + 3x

5y = 3x + 13

Step 2: Divide both sides by 5.

5y/5 = 3x + 13/5

y = 3/5x + 13/5

Solve for X in  x+4y=-10:

Step 1: Add -4y to both sides.

x + 4y + −4y = −10 + −4y

x = −4y −10

Solve for Y in x+4y=-10:

x+4y=−10

Step 1: Add -x to both sides.

x + 4y+ −x = −10 + −x

4y=−x−10

Step 2: Divide both sides by 4.

4y/4 = −x − 10/4

y = −1/4x + −

The number of calories for 180-gram burrito is 392

From the question, we have the following parameters that can be used in our computation:

The scatter plot

From the line of the best fit on the scatter plot, we have the following points

(0, 250) and (190, 400)

A linear function is modelled by:

y = mx + b

In which:

m is the slope, which is the rate of change

b is the y-intercept, which is the value of y when x = 0

Using the above points, we have

b = 250

This means that

y = mx + 250

From the point (190, 400), we have

400 = 190m + 250

So, we have

190m = 150

And, this gives

m = 15/19

So, the equation is

y = 15/19x + 250

For a 180-gram burrito, we have

y = 15/19 x 180 + 250

Evaluate

y = 392

Hence, the number of calories is 392

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Answer:

Equation of line A: y = 4

Equation of line B: x = 8

Step-by-step explanation:

I am not sure how to explain this but those are your answer.

The number of unique combinations of books Dwight could bring with him is 168

From the question, we have the following parameters that can be used in our computation:

Science fiction = 3

Business ethics = 8

Beet farming = 7

The number of unique combination of books is then calculated as

Number of unique combinations = Science fiction * Business ethics * Beet farming

Substitute the known values in the above equation, so, we have the following representation

Number of unique combinations = 3 * 8 * 7

Evaluate the products

Number of unique combinations = 168

Hence, the number of unique combinations is 168

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The correct expression for the area of the circle will be;

⇒ 50² × π

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A circle has a diameter of 100 inches.

Now,

Since, A circle has a diameter of 100 inches.

Hence, A circle has a radius = 100/2 = 50 inches.

We know that;

The area of circle = πr²

Where, 'r' is radius of the circle.

Substitute all the values, we get;

⇒ The area of circle = πr²

⇒ The area of circle = 50² × π

Thus, The correct expression is,

⇒ 50² × π

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Answer:

x = 0.47

Step-by-step explanation:

[tex] {7}^{(1 - x)} = {2}^{(1 + x)} \\ apply \: log \: of \: base \: 7 \: to \: both \: sides \\ log_{7}(7)^{(1 - x)} = log_{7}(2)^{(1 + x)} \\ (1 - x) log_{7}(7) = (1 + x) log_{7}(2) \\ 1 - x = 0.36(1 + x) \\ 1 - x = 0.36 + 0.36x \\ 0.36x + x = 1 - 0.36 \\ 1.36x = 0.64 \\ x = \frac{0.64}{1.36} \\ x = 0.47[/tex]

The new coordinates of triangle KLM after the given translation is;

M'(6, 1)

L'(1, 4)

K'(4, 8)

In transformations, there are different types such as reflection, dilation, translation e.t.c

Now, translation is what we are dealing with here and translation is a rigid transformation which means that it does not alter the dimensions of the figure after transformation. Translation is just moving the object from one point to another.

In translation, the size, the shape and the orientation of the image remain the same as that of the original object. Thus, the same orientation means that the object and image are facing the same direction.

The given coordinates of the triangle are;

M(-2, 1)

L(-7, 4)

K(-4, 8)

Now, If you move horizontally 8 units to the right, it means that 8 is added to the x-coordinate of each of the vertices. Thus, the transformation rule here is;

(x, y) → (x + 8), y

Therefore the new coordinates of triangle KLM are;

M'(-2 + 8, 1) = M'(6, 1)

L'(-7 + 8, 4) = L'(1, 4)

K'(-4 + 8, 8) = K'(4, 8)

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The probability that this song will be played on exactly 0 days out of 7 days, if The probability that a particular song is played is 0.23 is 0.008.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

The probability that a particular song is played is 0.23,

As can be seen that the problem is of combination, so we have to choose 5 out of 7,

Calculate the combination as shown below,

⁷C₅ = 7! / (5! × 2!) = 7 × 6 / 2

⁷C₅ = 7 × 6 / 2

⁷C₅ = 21

Calculate the probability as shown below,

P = ⁷C₅  × (0.23)⁵ × (0.77)²

P = 0.008

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Answer:

x = 7.45 & -8.45

Step-by-step explanation:

x^2+x−63=0

You can either solve this through the quadratic formula or by completing the square.

See the attached image on how to solve using the quadratic formula:

Answer:

Belleville to Greenwood is approximately 12 kilometers

explain detail note on distance in mathematics?

Distance in mathematics is the measure of how far apart two points are. It can be calculated in Euclidean space, where the distance between two points is the length of the straight line connecting them. In other spaces, such as a spherical surface, the distance between two points may be calculated using trigonometric formulas. The study of distances is called metric geometry.

Distance is often used to measure the length of paths, curves, or other objects. It can be measured in any unit of length, such as miles, kilometers, or meters. Distance can also be measured in terms of time, as in the speed of light.

Distance can be used to calculate the area of a shape or the volume of an object. It can also be used to calculate the length of a curve or the circumference of a circle. Distance can be used to calculate the slope of a line and the angle between two lines.

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Answer: 259.2

Step-by-step explanation:

If you take the 324 seniors and divide it by 5 then multiply by four

Answer:

Step-by-step explanation:

The answer is (3,0)

You need to plug in the values of x and y to figure it out, because a coordinate is in the form (x,y) so in (3,0) 3 is the x value and 0 is the y value.

If you plug (3,0) into the first inequality y > -2x+3 you get 0 > -3 which is true

steps

-2(3) +3 = -3

And if you plug (3,0) into the second inequality y < x-2 you get 0 <  1 which is also true

So basically just plug in the values of x and y into the inequality and test if it works on one of the inequalities you've been given if it doesn't try the next order pair, if it does try it on the other inequality and check if it works on it to.

Answer:

Irrational

Step-by-step explanation:

[tex]\sqrt{8} =\sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}[/tex] and this is irrational

So [tex]\sqrt{8} + \sqrt{8} = 2\sqrt{8} = 2 \cdot 2\sqrt{2} = 4\sqrt{2}[/tex] which is irrational

(adding an irrational number to anything gives an irrational number)

Answer:

Two-thirds

Step-by-step explanation:

slope is

∆y/∆x = (y2-y1) divided by (x2-x1)

= (-8-(-6)) divided by (-6-(-3))

= -2 divided by -3

= 2/3

Answer:

Step-by-step explanation:

It is to be noted that the length of the interior diagonal of the box whose dimensions are Height 100cm, Lenght, 80 cm, and width 60 cm, is 140.4cm.

Recall that the formula for the diagonal length of a right rectangular prism is calculated as √(l² + w² + h²) units. So, the formula for the length of a right rectangular prism's diagonal is √(l²+w²+h²), where l is the length, b is the breadth, and h is the height.

Plugging in the values we have:

d² = 60² + 80² + 100²

Solving for d, we get:

d = √(660² + 80² + 100²)

= √(3600 + 6400 + 10000)

= √(20000)

= 140.4 cm

Thus, the length of the interior diagonal of the box is 140.4 cm.

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The approximate value of [tex]log_4128[/tex] is 3.5.

What is logarithm?

The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to produce a number x is therefore the logarithm of a number x to the base b. For instance, since 1000 = 10^3, log10 of 1000 is 3, or log10 = 3.

Given: log 128≈ 2.1  and  log 4≈ 0.6

We have to find the approximate value of [tex]log_4128[/tex].

We know that,

[tex]log_ba = \frac{loga}{logb}[/tex]

Here,

[tex]log_4128 = \frac{log128}{log4}[/tex]

Plug the values of log 128 and log 4

⇒ [tex]log_4128 = \frac{log128}{log4} = \frac{2.1}{0.6} = 3.5[/tex]

Hence, the approximate value of [tex]log_4128[/tex] is 3.5.

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Answer:

b. [tex]y = -0.03x + 18.4[/tex]

explanation:

is just some logic. we see the second unit on the x-axis is 4, so let's try that. -0.03 * 4 = -0.12. -0.12 + 18.4 = 18.28. 18.28 lines up with the 18.3 measurement we see. the next closest option brings us to 17.8, so we'll go with b.

The coefficients of the given quadratic equation are:

Here we want to find the coefficients for the following quadratic equation:

-2x^2 + 4x - 3 = 0

Now, the general quadratic equation is written as:

a*x^2 + b*x + c = 0

So the two equations are:

-2x^2 + 4x - 3 = 0

a*x^2 + b*x + c = 0

So c is the constant term, comparing this with the given quadratic equation, we can see that:

c = -3

b is on the linear term, ad we can see that:

b = 4

a is on the quadratic term, we can see that:

a = -2

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The equations that passes through the points, (–4, –16) and (5, 2), are:

y – 2 = 2(x – 5)

y = 2x – 8

y + 16 = 2(x + 4)

To find the equation that passes through the points (–4, –16) and (5, 2), substitute each of the values of the points into the equations and see if it makes it true.

(–4, –16) = (x, y) into y + 4 = 2(x – 16):

-16 + 4 = 2(-4 – 16)

-12 = -40 [not true]

The equation does not passes through the point.

(–4, –16) = (x, y) into y – 2 = 2(x – 5):

-16 – 2 = 2(-4 – 5)

-18 = -18 [true]

The equation passes through the point.

(–4, –16) = (x, y) into y = 2x – 8:

-16 = 2(-4) - 8

-16 = -16 [true]

(–4, –16) = (x, y) into y + 16 = 2(x + 4):

-16 + 16 = 2(-4 + 4)

0 = 0 [true]

Therefore, the answers are:

y – 2 = 2(x – 5)

y = 2x – 8

y + 16 = 2(x + 4)

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The 7th term of the geometry sequence is 2,097, 152. Hence option C is the correct option.

What is a term of a sequence?

A phrase is used to describe each number in the series. The first term in the order 1, 3, 5, 7, 9,... is 1, the second is 3, the third is 5, and so on.

A geometric sequence is sequence such that the pervious term is multiplied by a constant number to get next term. The constant number is known as common ratio.

Given pattern is  8, 64, 512, 4,096, ..

The common ratio is 64/8 = 512/64 = 4096/512 = 8.

The first term of the sequence is 8.

The nth term of geometric sequence is ar^(n-1), where a is the first term, r is the common ratio.

The 7th term of the sequence is 8(8)⁷⁻¹ = 8(8)⁶ = 2,097, 152.

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For the question "A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity..." None of the options are correct

The statement "The annual cost of the washer-dryer set will never exceed $100 during the life of the set" is false because the function C(n) is defined as C(n) = (1250 + 100(n))/n,

A washer-dryer set has an average lifetime of 10ten years

But given the function

C(n) = (1250 + 100(n))/n,

even after 5000 years, the washer-dryer set will still be above $100 as shown below

[tex]C(5000)=\frac{1250+100\left(500000\right)}{500000}[/tex]

C(5000)=100.0025

b) For the given function C(n) = (1250 + 100n) / n, the highest power of x is 1 in both the numerator and denominator. The leading coefficient of the numerator is 100 and the leading coefficient of the denominator is 1, so the horizontal asymptote is the line y = 100.

To find the vertical asymptotes of a rational function, we need to look for values of x that make the denominator equal to 0, but the numerator not equal to 0. These values of x will be the vertical asymptotes of the graph.

For the given function C(n) = (1250 + 100n) / n, the denominator is n, so the vertical asymptotes are x = 0.

Therefore, the asymptotes of the graph of C(n) = (1250 + 100n) / n are the horizontal asymptote y = 100 and the vertical asymptote x = 0.

The statement "The asymptotes of the function are at x = –12.5 and y = 100" is false because a function does not have asymptotes if it is defined for all values of x. In this case, the function C(n) is defined for all positive values of n, so it does not have asymptotes.

c)  The statement "The annual cost after 10 years is $225 assuming only purchase and electricity expenses" is false because the annual cost after 10 years is given by

C(10) = (1250 + 100*10)/10

C(10)=225

But

= 225 + 100 (10)

=225000

Therefore, the annual cost after 10 years is $225000, not $225.

Hence given this none of the Options are correct

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CQ

A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity.

The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set (besides the $100 for electricity) as a function of n years of owning the set.

Which of the following statement(s) about the function is true?

I. The annual cost of the washer-dryer set will never exceed $100 during the life of the set.

II. The asymptotes of the function are at x = –12.5 and y = 100.

III. The annual cost after 10 years is $225 assuming only purchase and electricity expenses.

F I only

G I and II only

H I and III only

J I, II, and III

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.

The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.

Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.

Since the DOC system uses free text, the EHR's data is structured.

Therefore,

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

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The order from least to greatest is −2.3, −0.2, 0.7, 2.2. The correct option is A.

When numbers are arranged in ascending order, they are done so from smallest to largest. We must first compare the numbers before we can arrange them in any order. Compare first, then order. Numbers are arranged in ascending order.

Given that the numbers are 0.7, −0.2, 2.2, and −2.3. The numbers in ascending order will be arranged as,

0.7, −0.2, 2.2, −2.3

-2.3 > -0.2 > 0.7 > 2.2

Hence, the ascending order of the given data is -2.3 > -0.2 > 0.7 > 2.2.

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Answer:

on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.

By rounding to 1 significant figure, estimate answer is 40

What is significant figures?

Significant figures of a number in positional notation area unit digits within the number that area unit reliable and necessary to point the number of one thing.

Main  body:

1) 40.73 to 1 significant figure = 40.

2) 1.06 to 1 significant figure = 1.

3) Therefore, we just multiply 40 by 1, which equals 40.

FURTHER EXPLANATION (IF NEEDED):

With significant figures, whole numbers such as 10, 20, 50 etc. have 1 significant figure. This is because the 0 does not count as a significant figure.

With decimals, all numbers after the decimal point are also included as significant figures (even 0). E.g. 40.73 has 4 significant figures and 1.06 has 3 significant figures.

EXAMPLES (IF NEEDED):

Rounding to 2 significant figures:

40.73 = 42

1.06 = 1.1

Rounding to 3 significant figures:

40.73 = 40.7

1.06 = 1.06 (because it's already in 3 significant figures)

Rounding to 4 significant figures:

40.73 = 40.73 (already in 4 significant figures)

1.06 = 1.060 (0 is counted as a significant figure if there is a decimal or another number comes after that 0)

E.g. 1006 has 4 sig figs, while 1060 would have 3 sig figs because the last 0 is not counted as a significant figure. 10.60 would have 4 sig figs because of the decimal.

Hence , By rounding to 1 significant figure, estimate answer is 40.

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The dependent variable represented on the graph is the Total Cost

From the question, we have the following parameters that can be used in our computation:

As a general rule:

The variable represented on the y-axis is the dependent variable

From the given parameters, we have

This means that

y-axis = Dependent variable

This can also be expressed as

Dependent variable = Total Cost

This means that the dependent variable is Total Cost

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The required equation of line is x - 4y + 8 = 0, and graph is shown below.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

Given that,

That line passes through the point (4, 3),

And the slope of the line is 1/2.

To determine the graph of the line,

First find equation of line,

By using formula of line that passes through point (x₁, y₁) and whose slope is m,

y - y₁ m (x - x₁)

Substitute the values here,

y - 3 = 1/4(x - 4)

4y - 12 = x - 4

x - 4y - 4 + 12 = 0

x - 4y + 8 = 0

The required equation is x - 4y + 8 = 0,

The graph of the equation of line is shown below.

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