Which ordered pair satisfies the inequality? 6x + 5y < -15

Answer:

-3 - 8i

Step-by-step explanation:

Answer:

1. 15  2. 18

Step-by-step explanation:

12-7=5

8-5=3

5x3=15

16-4=12

12 divided by 3=4

10-4=6

12+6=18

Answer:

-1/3

Step-by-step explanation:

Answer:

You can download app to help you I hope you find your answer

Answer:

it is an infinite discontinuity.

Step-by-step explanation:

Removable type of discontinuity does the function have at x = -4. Option  4 is correct.

If the limit of the function at the place of discontinuity exists and the value of the function exists, but they are not equal to each other, the discontinuity is removable.

We may eliminate the discontinuity by making the function's value equal to the function's limiting value at that time.

The given function is;

G(x)=x²+ 7x – (18/x)²+2x-8

G(-4)=(-4)²+7×(-4)- (18/-4)²+2(-4)-8

G(-4)=16-28-20.25-8-8

G(-4)=16-64.25

G(-4)=- -48.25

The given data on putting the value gives the negative values.

Hence, the removable type of discontinuity does the function have at x = -4

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Answer:

Firstly, from the diagram we are given that the length of XB is congruent to BZ, and YC is congruent to CZ. Based on this information, we know that B is the midpoint of XZ, and C is the midpoint of YZ. This means that BC connects the midpoints of segments XZ and YZ. Now that we know this, we can use the Triangle Midsegment Theorem to calculate the length of BC. This theorem states that if a segment connects the midpoints of two sides of a triangle, then the segment is equal to one-half the length of the third side. In this scenario, the third side would be XY, which has a length of 12 units. Therefore, the length of BC = 1/2(XY), and we can substitute the value of XY and solve this equation:

BC = 1/2(XY)

BC = 1/2(12)

BC = 6

Step-by-step explanation:

Please support my answer.

Answer:

1) a) \(x = \frac{3}{2}\cdot a\), b) \(x = 5-3\cdot a\), c) \(x = -a\), d) \(x = \frac{5}{2}\cdot a\)

2) a) \(x = -\frac{3}{4}\), b) \(x = -5\), c) \(x = 3\)

Step-by-step explanation:

1) a) \(5\cdot x - a = x + 5\cdot a\)

\(5\cdot x - x = 5\cdot a + a\)

\(4\cdot x = 6\cdot a\)

\(x = \frac{3}{2}\cdot a\)

b) \(4\cdot x + 3\cdot a = 3\cdot x + 5\)

\(4\cdot x - 3\cdot x = 5 - 3\cdot a\)

\(x = 5-3\cdot a\)

c) \(2\cdot (3\cdot x - a) - 4\cdot (x-a) = 3\cdot (x+a)\)

\(6\cdot x -2\cdot a -4\cdot x +4\cdot a = 3\cdot x +3\cdot a\)

\(6\cdot x -4\cdot x -3\cdot x = 3\cdot a -4\cdot a +2\cdot a\)

\(-x = a\)

\(x = -a\)

d) \(\frac{2\cdot x}{5} - \frac{x-2\cdot a}{3} = \frac{a}{2}\)

\(\frac{6\cdot x-5\cdot (x-2\cdot a)}{15} = \frac{a}{2}\)

\(\frac{6\cdot x - 5\cdot x+10\cdot a}{15} = \frac{a}{2}\)

\(2\cdot (x+10\cdot a) = 15 \cdot a\)

\(2\cdot x = 5\cdot a\)

\(x = \frac{5}{2}\cdot a\)

2) a) \(\frac{3}{x} + \frac{5}{x+2} = 0\)

\(\frac{3\cdot (x+2)+5\cdot x}{x\cdot (x+2)} = 0\)

\(3\cdot (x+2) + 5\cdot x = 0\)

\(3\cdot x +6 +5\cdot x = 0\)

\(8\cdot x = - 6\)

\(x = -\frac{3}{4}\)

b) \(\frac{7}{x-2} = \frac{5}{x}\)

\(7\cdot x = 5\cdot (x-2)\)

\(7\cdot x = 5\cdot x -10\)

\(2\cdot x = -10\)

\(x = -5\)

c) \(\frac{2}{x-3}-\frac{4\cdot x}{x^{2}-9} = \frac{7}{x+3}\)

\(\frac{2}{x-3} - \frac{4\cdot x}{(x+3)\cdot (x-3)} = \frac{7}{x+3}\)

\(\frac{1}{x-3}\cdot \left(2-\frac{4\cdot x}{x+3} \right) = \frac{7}{x+3}\)

\(\frac{x+3}{x-3}\cdot \left[\frac{2\cdot (x+3)-4\cdot x}{x+3} \right] = 7\)

\(\frac{2\cdot (x+3)-4\cdot x}{x-3} = 7\)

\(2\cdot (x+3) -4\cdot x = 7\cdot (x-3)\)

\(2\cdot x + 6 - 4\cdot x = 7\cdot x -21\)

\(2\cdot x - 4\cdot x -7\cdot x = -21-6\)

\(-9\cdot x = -27\)

\(x = 3\)

The number of positive and negative zeros in a polynomial can be determined using Descartes' Rule of Signs.

It provides a method for determining the possible number of positive and negative real roots of a polynomial in one variable, based on the number of sign changes in the coefficients of the polynomial.

To apply Descartes' Rule of Signs, we count the number of times that the sign of the coefficients change as we write out the polynomial's terms in descending order of degree. We can then count the number of sign changes to determine the maximum number of possible positive real roots.

For example, if the polynomial has four sign changes, then it is possible for there to be up to four positive real roots or zero.

We can use the same method to determine the number of negative real roots by counting the number of sign changes in the coefficients of the polynomial with alternating signs (-1) raised to the power of each one.

It is important to note that Descartes' Rule of Signs only provides a maximum possible number of positive or negative real roots, and that there could be fewer than the maximum number of roots.

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Answer:

16

Step-by-step explanation:

4 divided by 1/4 =

4/.25

16

Answer:

2.78%

Step-by-step explanation:

Theres only one number combination you could get for the sum of 2 ( 1 and 1)  but there is 36 different outcomes on the 2 dice that you could get for all the numbers.

1/36=.02777.. =.0278 but since its a percentage you move it over 2x to the right from the decimal point which would give you 2.78%

Answer:

(-4, 5)

This quadrant specifically can be found in the top left corner of the graph. This is where all the y-coordinates are positive while all the x-coordinates are negative.

The point (-4, 5) has a x-value of -4 and a y-value of 5. In graphing terms, it can be put this way, 4 left : 5 up.

Due to the circumstances of this ordered pair, it would have to be located in Quadrant ll because the x-value is negative and the y-value is positive.

Hence, the answer would be (-4, 5).

Answer: 19

Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.

Answer:

The median is the middle number in numerical order.

Numerical order - \(11,12,14,24,27,72\)

There are 6 numbers.

The median is 19.

Answer:

The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.

give thanks for more! your welcome!

Step-by-step explanation:

Answer:

x = -1.4

Step-by-step explanation:

Isolate x on one side of the equation:

-2x - 3x = 16 - 9

-5x = 7

x = -7/5 = -1\(\frac{2}{5}\) = -1.4

The upper control limit(UCL) is 160

sample mean X =35

sample size n   =25

sample size n=25, average sample standard deviation is 5

Upper control limit is shown by the top dashed line (UCL). The data that is plotted on the control chart is used to calculate the upper control limit. It is positioned 3 sigma off the average line (of the data being plotted).

A control chart is made up of various components. It has an average line and two control limits. The lower control limit is represented by the dashed bottom line (LCL). The statistic's average is represented by the solid center line. The higher control limit appears as the top dashed line (UCL).

a)

Upper control limit(UCL) =X+A2R =160

Control line (CL) = X=35

Lower control limit (LCL)=X-A2R =90

Hence, The upper control limit (UCL) is 160

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The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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Answer: 0.023

Step-by-step explanation:

Given that:

Number of green balls = 9

Number of white balls = 8

Total number of balls = 9 + 8 = 17

Drawing with replacement :

Probability of white :

First draw = 8/17

2nd draw = 8/17

3rd draw =. 8/17

4th draw = 8/17

5th draw = 8/17

P(all 5 are white) = 8/17 * 8/17 * 8/17 * 8/17 * 8/17 = 32768/1419857

= 0.0230783

= 0.023

The slope of the lines are given as

a) m₁ = -2

b) m₂ = 4/3

c) m₃ = 5/2

d) The equation of line is y = ( 1/2 )x + 9/2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

a)

Let the first point be P ( 3 , 5 )

Let the second point be Q ( 7 , -3 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₁ = ( -3 - 5 ) / ( 7 - 3 )

Slope m₁ = -8/4

Slope m₁ = -2

b)

Let the first point be P ( 4 , 2 )

Let the second point be Q ( 10 , 10 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₂ = ( 10 - 2 ) / ( 10 - 4 )

Slope m₂ = 8/6

Slope m₂ = 4/3

c)

Let the first point be P ( -1 , -2 )

Let the second point be Q ( -3 , -7 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₃ = ( -7 - ( -2 ) ) / ( -3 - ( -1 ) )

Slope m₃ = -5/-2

Slope m₃ = 5/2

d)

Let the first point be P ( 5 , 7 )

The slope of the line is y = 1/2

Now , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 7 = ( 1/2 ) ( x - 5 )

y - 7 = ( 1/2 )x - 5/2

Adding 7 on both sides , we get

y = ( 1/2 )x + 9/2

e)

The slope of the line is y = 5/2 and the points are linear

Hence , the equation of line is y = ( 1/2 )x + 9/2

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The complete question is :

Determine the slopes between the points in lowest terms

a) ( 3 , 5 ) and ( 7 , -3 )

b) ( 4 , 2 ) and ( 10 , 10 )

c) ( -1 , -2 ) and ( -3 , -7 )

d) Draw and accurate graph of the line with the slope of ( 1/2 ) that passes through the point ( 5 , 7 )

it would be 240 men

Step-by-step explanation:

i took the same test

Answer:

240

Step-by-step explanation:

I took the same test just trust me

Answer:

Step-by-step explanation:

For the first throw the probability that it does not land on four should be .35 not .25

On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)

Answer:

x and x+2

Because the next consecutive odd number is 2 away from the nearest odd number.

Answer:

odd integers are 2 apart from each other (in between them is an even number)

x and x+2 is answer

The slope of the line represented by the graph of a linear function is  -2/3.

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

Given in a question a linear function that decreases from left to right passing through the coordinates A(2, 0) and B(5, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c. So, it represents a straight line.

The line passes through the points A (2, 0) and  B (5, -2). The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 0) / (5 - 2)

m = -2/3

Therefore, the slope of the line represented by the graph of a linear function is  -2/3.

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The slope of the line represented by the graph of a linear function is  -2/3.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

Given in a question a linear function that decreases from left to right passing through the coordinates A(2, 0) and B(5, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c. So, it represents a straight line.

The line passes through the points A (2, 0) and  B (5, -2). The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 0) / (5 - 2)

m = -2/3

Therefore, the slope of the line represented by the graph of a linear function is  -2/3.

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The fraction that has been given illustrates that the person who ran further is Lisa and Jane.

Your information isn't complete. Therefore, an overview of the fraction will given.

Let's assume that Lisa ran 1/2 of a mile and Jane ran 3/6 of a mile. In order to know who ran more, you can convert the fraction to percentage.

This will be

\(\text{Lisa} = \dfrac{1}{2} \times 100 = \bold{50\%}\)

\(\text{Jane} = \dfrac{3}{6} \times 100 = \bold{50\%}\)

Therefore, both Lisa and Jane ran more.

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☁️ Answer ☁️

Here's what I found:

Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).

Input the values into the formula. This gives us (10 - 8)/(-2 - 3).

Subtract the values in parentheses to get 2/(-5).

Simplify the fraction to get the slope of -2/5.

Check your result using the slope calculator.

To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.

Here's the link:

https://www.omnicalculator.com/math/slope#:~:text=How%20to%20find%20slope%201%20Identify%20the%20coordinates,5%20Check%20your%20result%20using%20the%20slope%20calculator.

Here's a video to help you: https://m.you tube.com/watch?v=wvzBH46D6ho

(Just remove the space)

Hope it helps.

Have a nice day noona/hyung.

Answer:

Well I‘ll try verbal explanation, if you still don’t understand, jsut leave a comment and Ill put some images up.

Step-by-step explanation:

Alright so in order to find a slop of a graph theres a rise and run feature for every plot on the point thats exactly on a number.

The rise is going up, the run is going right.

So in order to find the slope of a semi easy graph, start by looking for a point plotted on the line thats exact and you have to rise first untill you see another plot and then run to that point, The amount of times you raised is your numerator and the amount ran is the denominator.

For hard graphs locate 2 points that are exact.

Then you follow the equation for every slope which is

(y2-y1 / x2-x1)

So for example you have the points (1,2) and (3,6)

y1= The first y coordinate given (the first part of the pair)

y2= The second y-coordinate given (the second part of the second pair)

x1= The first x coordinates given

x2= the second x coordinate given

so if we use the previous example stated above (1,2) and (3,6)

y1= 2

y2= 6

x1= 1

x2=3

Now use the formula (y2-y1 / x2-x1)

Subsitute

6-2 / 3-1

4/2

the slope would be 2.

This formula works for every 2 points given.

parallel structure is used correctly in :

Eggs, flour, and sugar are needed to bake the pie crust.

In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.

The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.

The use of parallelism has an impact on reading and may facilitate text processing.

The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.

However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.

Therefore, the correct answer is:

Eggs, flour, and sugar are needed to bake the pie crust.

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Answer:

A.  Complementary and Adjacent

B.  ∠KLM = 22°  and  ∠MLN = 68°

Step-by-step explanation:

Question A

As ∠KLN is a right angle, ∠KLN = 90°

⇒ ∠KLM + ∠MLN = 90°

When the sum of two angles is 90°, they are called complementary angles.

∠KLM and ∠MLN have a common side of ML and a common vertex (corner point) L.

When two angles have a common side and a common vertex but do not overlap in any way, the are called adjacent angles.

Question B

First find n:

∠KLM + ∠MLN = ∠KLN

⇒ 2n + (6n + 2) = 90

⇒ 2n + 6n + 2 = 90

Combine like terms:

⇒ 8n + 2 = 90

Subtract 2 from both sides:

⇒ 8n = 88

Divide both sides by 8:

⇒ n = 11

Now substitute the found value of n into the expressions for the two angles:

⇒ ∠KLM = 2(11) = 22°

⇒ ∠MLN = 6(11) + 2 = 68°

Answer:

She will need a time of 1024 units to complete the 10th station.

Step-by-step explanation:

A. As the quotient between consecutive terms is the same, the data is a geometric sequence.

B. The recursive formula is:

C. She will need a time of 1024 units to complete the 10th station.

In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.

If the quotient between consecutive terms is the same, the sequence is geometric.

Item a:

When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.

Answer:

D ≈ 0.925926 g/cm³

Step-by-step explanation:

Density = Mass / Volume

Step 1: Define

M = 25 g

V = (3 cm)³ = 27 cm³

D = ?

Step 2: Substitute and Evaluate for Density

D = 25g / 27 cm³

D = 25/27 g/cm³

D ≈ 0.925926 g/cm³

Answer:

C(min)  =  277.95 $

Container dimensions:

x = 2.822 m

y = 1.411 m

h = 3.52 m

Step-by-step explanation:

Let´s call x  and  y the sides of the rectangular base.

The surface area for  a rectangular container is:

S = Area of the base (A₁) +  2 * area of a lateral side x (A₂) + 2 * area lateral y (A₃)

Area of the base is :

A₁ =  x*y       we assume, according to problem statement that

x  =  2*y      y  = x/2

A₁  =  x²/2

Area lateral on side x

A₂  = x*h           ( h  is the height of the box )

Area lateral on side y

A₃ = y*h        ( h  is the height of the box )

s = x²/2  + 2*x*h + 2*y*h

Cost  =  Cost of the base + cost of area lateral on x + cost of area lateral on y

C = 10*x²/2  + 8* 2*x*h  + 8*2*y*h

C as function of x is:

The volume of the box is:

V(b) = 14 m³  = (x²/2)*h       28 = x²h      h = 28/x²

C(x) = 10*x²/2  + 16*x*28/x² + 16*(x/2)*28/x²

C(x)  =  5*x²  +  448/x  + 224/x

Taking derivatives on both sides of the equation we get:

C´(x)  =  10*x  -  448/x² - 224/x²

C´(x)  =  0             10x  -  448/x² - 224/x² = 0     ( 10*x³ - 448 - 224 )/x² = 0

10*x³ - 448 - 224 = 0       10*x³ = 224

x³  =22.4

x = ∛ 22.4

x = 2.822 m

y = x/2  =  1.411 m

h = 28/x²  =  28 /7.96

h =  3.52 m

To find out if the container of such dimension is the cheapest container we look to the second derivative of C

C´´(x) = 10 + 224*2*x/x⁴

C´´(x)  =  10 + 448/x³    is positive then C has a minimum for x = 2.82

And the cost of the container is:

C = 10*(x²/2) +  16*x*h + 16*y*h

C = 39.82 +  158.75  + 79.38

C =  277.95 $