Write an equation of the line through the pair of points in slope-intercept form. (Lesson 3-4 )
(-1,8) and (5,-4)

Answer:

3 1/9

Change 2/3 to 6/9. Add 6/9 + 4/9 to get 10/9. Make a mixed number, 1 1/9. Add 2, 3 1/9.

The probability is 6.

Probability is the possibility of an event occurring. We can scale the probability of an event between 0 and 1. 0 refers to an improbable event, and one refers to an event with the highest possibility. The type of probability we will use to solve this problem is the geometric distribution.

The geometric distribution is defined as a discrete probability distribution representing the probability of consecutive failures before success in a Bernoulli trial. There could be only two possible outcomes; either True (1) or False (0).

Bernoulli's trial is an experiment in which we have only two possible outcomes, success or failure. In other words, the geometric distribution repeats Bernoulli trials until it succeeds, then stops. So, achieving success is the ultimate goal and is the point that stops Bernoulli's trials from happening further.

Geometric distribution, the class of probability distributions, is based on three key assumptions, and these assumptions are defined as:

Now for our given problem, we stand on a street corner and record the gender of the first twelve people who pass by. The condition here is the city is half male and half female. Now to find the probability, we will consider the possibility of each of the twelve events. Since half of the population is Female, the probability of one single event is;

p = 1/2 (50 %)

The overall probability is the sum of all the individual probabilities:

P ( ALL FEMALE)

= 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2

= 6

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The constant is the number that includes in the expression and the coefficient is the number that write along with the variable in the expression.

Here,

The constant is the number that includes in the expression. It is a fixed value that does not change over time

Example : 2x+5

Where 5 is the constant

The coefficient is the number that write along with the variable in the expression

Example : 2x+5

Where 2 is the coefficient.

Hence, the constant is the number that includes in the expression and the coefficient is the number that write along with the variable in the expression.

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Answer: 46 inches

Step-by-step explanation: the larger piece is 92 inches 92+46=138

The length of other base is 16 inch.

The area of trapezoid is given by the formula -

Area = 1/2×(a+b)×height, where a and b represents the two different bases. Let a be the length of 9 inches and b be the length of other base.

150 = 1/2×(9 + b)×12

Shifting 2 to Left Hand Side and performing multiplication on both sides.

150×2 = (9 + b)×12

300 = 108 + 12b

12b = 300 - 108

12b = 192

Shifting 12 to Right Hand Side of equation to find the other base

b = 192 ÷ 12

Performing division

b = 16 inch

Hence, the length of other base is 16 inch.

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Reason:

The 'a' terms are a^8 and a^6. We go for the smallest exponent when forming the GCF. Go for the largest exponent when finding the LCM.

The b terms are b^6 and b^3. The smaller exponent is b^3, which is also part of the GCF

We have a^6 and b^3 combine to form a^6b^3

The time, in minutes that it take for the submarine to reach the certified depth is 12.85 minutes.

From the information, the submarine has a safety feature that will automatically raise the submarine if it goes below the certified depth of −650feet.

It should be noted that the automatic feature then raised the submarine 50 3/5 feet per minute.

Therefore, the time needed to reach the depth will be:

= 650 / 50 3/5

= 650 / 50.6

= 12.85 minutes

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Answer:

BC = 21

Step-by-step explanation:

AB + BC = AC

[tex]7x + 8 + 3x + 6 = 64[/tex]

[tex]10x + 14 = 64[/tex]

[tex]10x = 50[/tex]

[tex]x = 5[/tex]

BC = 3(5) + 6 = 21

Answer:

Je vous souhaite le Bonjour dominical,

Step-by-step explanation:

Si tu veux une réponse:
soit tu postes ce devoir dans la matière French

soit tu postes le problème sur le site nosdevoirs.fr

f(2)=6*2²-7*2=24-14=10

f(-3)=6*(-3)²-7*(-3)=54+21=75

Step-by-step explanation:

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

⋅

c

=

6

⋅

−

12

=

−

72

and whose sum is

b

=

−

1

.

−

1

out of

−

x

.

6

x

2

−

(

x

)

−

12

Rewrite

−

1

as

8

plus

−

9

6

x

2

+

(

8

−

9

)

x

−

12

Apply the distributive property.

6

x

2

+

8

x

−

9

x

−

12

Factor out the greatest common factor from each group.

Tap for more steps...

2

x

(

3

x

+

4

)

−

3

(

3

x

+

4

)

Factor the polynomial by factoring out the greatest common factor,

3

x

+

4

.

(

3

x

+

4

)

(

2

x

−

3

)

Answer:

See below

Step-by-step explanation:

Perimeter =  2( L  +  W )               L = 2 (3+W)    <==== given

     15        = 2 ( 2(3+W) + W)

          15 = 2 ( 6 +3W)

           15 = 12 + 6W

              3 = 6W

                W = 1/2 inch      L = 2(3+W) = 7 inches

The equation in point-slope form of the line having the slope m=-2 and the given point (-6,-7) is y+7=-2(x+6)

Given,

The slope = -2

The point = (-6,-7)

We know the point slope form [tex]y-y_{1}=m(x-x_{1})[/tex]

Substitute the values in the equation

y-(-7)=-2(x-(-6))

y+7=-2(x+6)

Hence, the equation in point-slope form of the line having the slope m=-2 and the given point (-6,-7) is y+7=-2(x+6)

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The product of the monomials is 32x^7y4

A monomial is said to be a product of powers of variables with a non-negative integer exponents, or  a product of variables.

Monomials include numbers, variables or multiple numbers or variables  multiplied together.

Given the monomials;

(4x²y)(8x^5y³)

Finding the product is simply done by multiplying the two expressions, we have

The product of the numbers = 4 × 8 = 32

The product of the 'x' variables = x^2 + 5 = x^7

The product of the 'y' variables = y^1 + 3 = y^4

32x^7y4

Thus, the product of the monomials is 32x^7y4

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A circle is a curve sketched out by a point moving in a plane. The radius and the diameter of the circle are 2.8648 inches and 5.7296 inches, respectively.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Given that circumference of the circle is 18 inches. Therefore, the radius and the diameter of the circle can be written as,

Circumference of circle = 2 × π × (Radius of the circle)

18 inches = 2 × π × (Radius of the circle)

(Radius of the circle) = 18 in/ (2 × π)

The radius of the circle = 2.8648 inches

Diameter of circle = 2 × (Radius of the circle)

                             = 2 × 2.8648 inches

                             = 5.7296 inches

Hence, the radius and the diameter of the circle are 2.8648 inches and 5.7296 inches, respectively.

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f(x)=6ˣ and g(x)=14ˣ on the graph are shown (refer to the graph given below).

So, f(x)=6ˣ and g(x)=14ˣ on graph as:

Therefore, f(x)=6ˣ and g(x)=14ˣ on the graph are shown (refer to the graph given below).

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Answer:

16/8 = 2

38/18 = 2.1

But 2.1 is approximately equal to 2, hence a proportional relationship.

The next three numbers are - 40, 48, 56,..

The pattern belongs to multiples of 8.

Complete pattern is - 8,16,24,32,40, 48, 56,..

Examine the pattern's initial three to four numbers. What connection exists between these numbers, you could ask. For instance, the first three to four numbers in this mathematical pattern are 1, 3, 6, and 10. As the numbers rise, it appears that you must add to obtain the subsequent number. You begin by adding 2, then 2, 3, and then 4. Therefore, if you put this on paper, you probably notice a pattern emerging.

To test whether your solution works, try the remaining pieces of the pattern that was provided.

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Answer:

These are the estimates:

Polar Bear: 96

Reindeer: 72

Seal: 24

Walrus: 48

Step-by-step explanation:

240/30=8

Multiply the amount of people that like each animal by 8 to estimate how many out of 240 like that animal.

12*8=96

9*8=72

3*8=24

6*8=48

The two numbers other than 1 and 1 are 2 and 3 finally get the 34 means 7 th term in the sequence.

The Fibonacci numbers, sometimes known as Fn in mathematics, are a series of numbers. Each number in the Fibonacci sequence is composed of the sum of the two numbers before it. Typically, the sequence begins with 0 and 1.

from the question

Let take the first term as 2.

and second term as 3.

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 + 34 = 55

34 + 55 = 89

The Fibonacci sequence includes the numbers 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and so on.

Sum=2+3+ 5 + 8 +13 + 21+

34+55+89+144 = 374 is what we get when we add up the numbers in the series.

The first ten Fibonacci numbers sum is 374.

now divided the sum by 11.

374/11 = 34.

so,to get the 34 means 7 th term in the sequence.

Hence, the two numbers other than 1 and 1 are 2 and 3. finally get the 34 means 7 th term in the sequence.

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The value for x=-2,0,1 and 4 are -16/5,  -2,  -2/5, 2/5 respectively.

Find the value of x that would make the equation you see true is what it means to "solve for x." Consider the following formula: x + 1 Equals 3. If you were to attempt to solve it, you would need to identify a value for x such that it yields three when one is added.

Given expression is -

(3/5)x-2

For x = -2

The value of expression will be = (3/5)(-2) - 2

= -16/5

For x = 0

The value of expression will be = (3/5)(0) - 2

= -2

For x = 1

The value of expression will be = (3/5)(1) - 2

= -2/5

For x = 4

The value of expression will be = (3/5)(4) - 2

= 2/5

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45,90,180,360, .... is a geometric sequence. The next two terms are 720, 1440.

In an arithmetic sequence, the difference between two subsequent terms is constant. This difference between two subsequent terms is usually called common difference (d), and its value is:

d = a(n) - a(n-1)

Where a(n) is the nth term and a(n-1) is the (n-1)-th term.

In a geometric sequence, the ratio (r) between two subsequent terms is constant.  

r = a(n)/a(n-1)

The given sequence is: 45,90,180,360, .....

We can check that:

(90 - 45) is not equal to (180 - 90) and to (360 - 180)

So, there is no common difference in the given sequence.

Let us now check the ratio:

90/45 = 180/90 = 360/180 = 2

The ratio between two subsequent terms is constant, that is 2. Therefore, we can conclude that the given sequence is a geometric sequence with a(1) = 45 and r = 2.

In a geometric sequence, the next term is obtained by multiplying the current term by its ratio.

Hence, the next two terms are calculated as:

360 x 2 = 720

720 x 2 = 1440

or 720, 1440.

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Answer:

the answer is 6.

Step-by-step explanation:

solution is given in the photo

hi

let's rule ot first candidate with nothing :

as they are 4 , remains :  30 -4 = 26

Now let call X number  of candidate with both degrees and diplomas

we have :  17+15 -X = 26

                          -X = 26 - 32

                         -X = -6

                           x = 6  

We have to withdraw from categorie degree and diplomas 6 people who have both and then counted twice.  

So figues goes as follow :

nothing  :  4

degrees  only  :  11

diplomas only :   9

both degree and diplomas :  6

total :  4 +11 +9 +6 =  30

Answer:

10/9 or 1 1/9

Explanation:

Multiply by the reciprocal

cancel out the greatest common factor

multiply the fractions

and you get 10/9 or 1 1/9

The number of students that Fairview High School have in 2006 is 1615 students.

This is a question of percentages.

Given that:-

The number of students in Jefferson High School had in 2000 are 1125.

The number of students in Jefferson High School had in 2005 are 1425.

The number of students in Fairview High School had in 2000 are 1275.

It is given in the question that the student body of Fairview High school grew at the same rate as Jefferson High School.

We have to find the number of students in Fairview High School in 2006.

Rate at which the number of students grew at the  Jefferson High School =

[(1425-1125)/1125]*100 = (300/1125)*100 = 26 (2/3) % or 80/3 %

Let the number of students in the Fairview High School in 2005 be x.

Hence,

80/3 = [(x-1275)/1275]*100

x = 1615

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Answer:

Step-by-step explanation:

9 + 11 = 10 so 120=69 69-5 = 13 answer is 13

Answer:

We can use the point-slope form of the equation of a line to find the equation that passes through the points (3, 5) and (6, 7).

The point-slope form of a line is:

y - y1 = m(x - x1)

where (x1, y1) is one of the points on the line and m is the slope of the line.

First, we need to find the slope of the line using the two given points. The slope formula is:

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

where (x1, y1) and (x2, y2) are the two points.

Plugging in the values we know, we get:

m = (7 - 5) / (6 - 3) = 2 / 3

So the slope of the line is 2/3.

Now we can use one of the given points and the slope to write the equation of the line in point-slope form. We'll use the first point, (3, 5).

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

This is the equation of the line in point-slope form.

If we want to write it in slope-intercept form (y = mx + b), we can simplify:

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

y = (2/3)x + 3

So the equation of the line that passes through the points (3, 5) and (6, 7) is y = (2/3)x + 3.

The probability that a family to visit the beach also will travel the mountains is 0.33.

A Venn diagram is a graph that uses circles to represent relationships between objects or finite groups of objects. Circles that intersecting share properties, but circles that do not overlap do not.

Please see the Venn diagram.

P(B) [the entire blue circle] = 0.6 is the probability of such a family vacationing there at beach.

P(B∩M) [the red/blue intersecting intersection of two circles] = 0.2 is the possibility of a family taking a vacation in both locations.

Using the property of independent event: Two events are considered independent if the incidence of one does not affect the likelihood of occurrence of the other.

As, occurrence of  family visiting the beach will also visit the mountains is an independent event. Thus,

The formula for the independent event is;

P(B | M) = P(B∩M)/P(B)

P(B | M) = 0.2/0.6

P(B | M) = 0.33

Therefore, the probability of the occurrence that family visiting the beach will also visit the mountains is 0.33.

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Answer:0.02 mol/L

Step-by-step explanation:

Given: pH = 1.7

Required: [H+]

Equation: pH = -log [H+]

Solution:

Take the antilog of both sides

[H+] = antilog(-pH)

Antilog(-pH) is equal to 10^-pH. Therefore

[H+] = 10^-pH

Solve for [H+]

[H+] = 10^-1.7

Answer: [H+] = 0.02 mol/L