What is the slope of the line? Coordinate grid ranging from negative five to five on the x and y axes. A line passes through points (negative two, one) and (two, negative one). Responses −12 negative fraction 1 over 2 end fraction 2 2 12 1 half −2

Answer: the slope=0

Step-by-step explanation:

[tex]\displaystyle\\(7,-2)\ and\ (7,5)\\[/tex]

                        [tex]\displaystyle\\\boxed {the \ slope=\frac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]x_1=7\ \ \ \ \ x_2=7\ \ \ \ y_1=-2\ \ \ \ \ y_2=5\\Hence,\\\displaystyle\\the slope=\frac{7-7}{5-(-2)} \\\\the\ slope=\frac{0}{5+2} \\\\the\ slope=\frac{0}{7}\\\\ the\ slope=0[/tex]

Answer:

No

Step-by-step explanation:

If Q is the midpoint of PR, then PQ=QR.

[tex]5(x+2)=8x-3 \\ \\ 5x+10=8x-3 \\ \\ 3x=13 \\ \\ x=\frac{13}{3} \\ \\ \implies PQ=5\left(\frac{8}{3} +2 \right) \neq 36[/tex]

This means PQ + QR = PR isn't 72, and thus Q is not the midpoint of PR.

I have two answers depending on the format. I'm not sure if the entire function is to the 2ndpower or not. Either way, it's either 256 or 4.

Answer:

A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.

C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1

What is sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given:

10/3, 4, 24/5, 144/25, ...

From the above sequence we can generate the formula,

f (x) = 10/3

Also, for f(x+1) we can have

x=1,

f(1)= 10/3

f(2)= 4

So, f(x + 1) = 6/5(f(x))

Step-by-step explanation:

==================================================

Work Shown:

AB+BC = AC

(11) + (2x-1) = 3x+3

2x+10 = 3x+3

2x-3x = 3-10

-x = -7

x = 7

which is then use to find:

As a check,

AB+BC = 11+13 = 24 = AC which confirms the answer.

The name of the segment in the scaled copy that corresponds to segment AB is segment EF

The given parameters are:

Polygon EFGH is a scaled copy of Polygon ABCD.

This means that the corresponding points are

E = A

F = B

G = C

H = D

Remove points C and D

So, we have

E = A

F = B

Hence, the name of the segment in the scaled copy that corresponds to segment AB is segment EF

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Above given the the linear equations. Systems of liner equations in three variables using substitution method, the variables are (-3.2, -0.218, 0.06).

The standard form for the linear equations in two variables is Ax+ By =C. For example, 2x+3y=5 is a linear equation in the standard form. When an equation is given in this form, it's pretty easy to find the both intercepts (x and y). This form is also very useful when solving systems of the two linear equations.

Solve one of the equation for one of it's variables. From the given three variables, there is no incorrect choice so choose to solve for any variable.

x= y+ z -3

Substitute the value from the first variable we solved for into the other equation and solve for the next variable.

(y+z-3) +y +3z = -2

2y+4z= 1

y= [tex]\frac{1+4z}{2}[/tex]

Substitute the value from the two variables that we solved and plug it into the remaining equation and solve for the last remaining variable.

3([tex]\frac{1+4z}{2}[/tex]+z-3) - 2 ([tex]\frac{1+4z}{2}[/tex]) + 3z= -12

3([tex]\frac{1+4z+2z-6}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+ 3z= -12

3([tex]\frac{6z-5}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+3z = -12

[tex]\frac{18z-15}{2}[/tex]- 1+ 4z+ 3z= -12

18z-15-2+8z +6z= -24

32z-17=-24

32z=-24+17

z=[tex]\frac{-7}{32}[/tex]= -0.218

therefore, y= 0.06

Now substitute the values:

x= 0.06+(-0.218)-3= -3.2

The three variables are (-3.2, -0.218, 0.06)

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Using translation concepts, the correct option is given as follows:

The graph of f(x) is shifted to the right to create g(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the functions are given as follows:

That is, g(x) = f(x - 31), hence the function was shifted 31 units to the right and the correct option is given by:

The graph of f(x) is shifted to the right to create g(x).

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Step-by-step explanation:

I think the answer is just no solution to begin with since the value of an absolute value will never be a negative number or in this case less than -2. therefore the equation is false

Answer: A=32 B=19

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x = 5, y = 0

so the equation is 4x+y>9

and put the value of x and y in the equation

4 (5) + 0 > 9

20 + 0 > 9

20 > 9, therefore the order pair ( 5,0) satisfies the condition. true

Answer:  onever

Step-by-step explanation:

4x-8>1+4(x+3)

4x-8>1+4(x)+4(3)

4x-8>1+4x+12

4x-8>4x+13

4x-8-4x>4x+13-4x

-8>13

Hence, inequality is never true

The general term of the function is y = 4000 + 100x

The given parameters are

Guaranteed = $4000

Monthly raise = $100

Let the number of months be x, and the total earning be y

So, we have:

y = Guaranteed + Monthly raise * x

This gives

y = 4000 + 100 * x

Evaluate

y = 4000 + 100x

Hence, the general term of the function is y = 4000 + 100x

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The radius of the pool with height as 0.5 cm and volume as 12,000 cm³ is 87.39 cm.

We have that:

Radius of the water pipe = 0.74 cm

r = 0.74 cm

It fills a 12 L bucket in 4 minutes

1 L = 1000 cm³

12 L = 12,000 cm³

Volume of water put in the pool = 12,000 cm³

Height of the pool that rise = 5 mm = 0.5 cm.

H = 0.5 cm

Let the radius of the pool be R.

Volume = π r² h

Substituting the values, we get that:

12,000 = ( 22 / 7 ) R² ( 0.5 )

R² = 7636.36

R = 87.39 cm

Therefore, we get that, the radius of the pool with height as 0.5 cm and volume as 12,000 cm³ is 87.39 cm.

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The total costs are the same when a kayak is rented for 5 hours

How do we determine the hours that both have the same costs?

The hours that both shops have the same cost is determined by equating the total cost in shop A to the total  cost in shop B, in short, we need to first of all , model the total cost in each shop based on the straight-line equation formula shown below since the total cost is made of fixed charge and variable charge

y=a+bx

y=total cost

a=fixed charge for each shop

b=hourly fee

x=number of hours

Shop A:

total cost=8+3x

Shop B:

total cost=3+4x

8+3x=3+4x

8-3=4x-3x

5=x

At 5 hours both Shops A and B would have the same cost

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The hours when the cost of renting the kayaks would be the same is 5 hours.

The total cost of renting a kayak is $23.

The equation that can be used to represent the total cost of renting a kayak is a linear function. A linear equation is an equation whose graph is a straight line. A linear equation increases by a predetermined constant. An example of a linear equation is x + 2.

The form that the equation would be is:

Total cost = rental fee + (hourly fee x number of hours)

Total cost at Shop A = $8 + $3h

Total cost Shop B = $3 + $4h

Where h is the number of hours the kayak was rented.

When the total costs are equal, the two above equations would be equal.

$3 + $4h  =  $8 + $3h

Combine similar terms: $4h - $3h=  $8 - $3

Add similar terms together: h = 5 hours

Total cost = $3 + $4(5)

$3 + $20 = $23

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The slope of the lines containing the following points (-2, 1) & (-5,5) is [tex]\frac{-4}{3}[/tex].

As per the question statement, two points lie (-2, 1) & (-5,5) on a line.

We are supposed to find the slope of the line.

To solve this question, we need to know the formula to calculate the Slope of line passing through two points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] which is given by

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Since given in the question statement, our concerned points are (-2, 1) & (-5,5), we can consider [tex][x_{1}=(-2)] , [x_{2}=(-5)], [y_{1}=1][/tex] and [tex][y_{2}=5][/tex].

Using these values into above mentioned formula, we get,

Slope (m) = [tex]\frac{5-1}{[(-5)-(-2)]}=\frac{4}{-3}=\frac{-4}{3}[/tex].

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The inequality notation for the given interval is -∞ < x ≤ -11 and -8 ≤ x < ∞

Disclaimer:

Considering the given interval as (-∞, -11] ∪ [-8, ∞).

Given interval is a union of two intervals.

The first interval denotes the set of all real numbers which are less than or equal to -11.

And the second interval denotes the set of all real numbers which are greater than or equal to -8.

The inequalities can be written as below:

(-∞, -11] ⇒ x ≤ -11 (or) -∞ < x ≤ -11

[-8, ∞) ⇒ x ≥ -8 (or) -8 ≤ x < ∞

And there is a union symbol between these two intervals.

So, x should satisfy both inequalities.

x ≤ -11 and x ≥ -8

or the above can be written as

-∞ < x ≤ -11 and -8 ≤ x < ∞

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The mode of the data is 39 as it's frequency is highest .

Mode is a measure of central tendency . It is the no . which has highest frequency in data .

Data - Frequency

 40   -   6

 35   -   7

 37   -   7

39   -   12      ( max . )

 36   -   5

 38   -   6

 41   -   4

The value of frequency corresponding to 39 is maximum .

Therefore , as 39 occurs most of the time in the data , hence it is the mode of this data .

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Using the mean concept, it is found that LeBron scored 10 more points per game on his last two games than on his first two.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

For his first two games, he scored 20 + 15 = 35 points, hence the mean is:

35/2 = 17.5 points per game.

For his last two games, he scored 25 + 30 = 55 points, hence the mean is:

55/2 = 27.5 points per game.

The difference is:

27.5 - 17.5 = 10.

On average, LeBron scored 10 more points per game on his last two games than on his first two.

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The equation to represent the situation is given as $2h -$10 = 0

We have been given that

    Money earned by Shane for babysitting =  $8 per hour

    Money earned by Shane for walking dogs = $6 per hour

Let the number of hours spent by Shane be h hours

Tips she received for babysitting = $12

Tip she received for walking dogs = $10

Total amount earned by Shane for babysitting = $8*h + $12

Also Shane worked two more hours for walking dogs then the amount will be = 2*$6 = $12

Total amount earned by Shane for walking dogs = $6*h + $12 + $10

                                                                                  = $6h + $22

As she earned the same total amount of job the equation will be given as

  $8h + $12 = $6h + $22

  $2h -$10 = 0

Which is the required equation

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Answer:

Explanation

temperature in a town during day=12.5The temperature in a town is 12.5°F

temperature at night is -23.3°F

difference -23.3°F+12.5°F

=. -10.8

Answer:

Bar A : 266 calories; Bar B : 251 calories

Step-by-step explanation:

Assume bar A's caloric content is "a" and bar B's caloric content is "b".

1. a + 2b = 768

2. 2a + b = 783

Add both equations together.

3. 3a + 3b = 1551

Divide both sides by 3.

4. a + b = 517

Subtract equation 4 from equation 1.

5. a + 2b - a - b = 768 - 517

Evaluate.

6. b = 251

Subtract b's value from equation 2.

7. 2a + b - b = 783 - 251

Evaluate.

8. 2a = 532

Divide both sides by 2.

9. a = 266

1. 1.371742E−3

2. 256 .

What is an Exponent?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 2³) means: 2 x 2 x 2 = 8.

It is written as a small number to the right and above the base number.

Here in the question we find out (9)∧-3 and (4)∧4

1.  (9)∧-3 =x∧n=9−1

x∧n=9-³

=1/9³

=1/9×9×9

=1/729

=0.0013717421124829

=1.371742E−3

2. (4)∧4 =x∧n=4∧4

=4×4×4×4

=256

The meaning of exponent is a symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power.

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Answer:

118

Step-by-step explanation:

The key piece of information to focus on is that there are around 120 fruits. 15 is the biggest of the given divisors, and the gaps between multiples of 15 is the greatest (compared to 4 and 6) which will narrow down our options. Therefore we can first try approaching the problem by finding multiples of 15 that are close to 120.

The question says that when the number (let's call it A) is divided by 15, it leaves 13. Therefore we can express A as such:

A-13 = 15x OR 15x + 13 = A

Where 'x' represents a whole number showing that the number is divisible by 15.

The closest multiples of 15 to 120 are 105 (15*7), 120 (15*8), and 135 (15*9).

A is one of these numbers + 13, let's see which ones are closest:

105+13 = 118, 120+13 = 133, 135+13 = 148

118 is very close to 120, so let's check it with the other numbers:

118/4 = 29 r 2

118/6 = 19 r 4

The exact number of fruits is 118.

Hope this helped!

Answer:

118

Step-by-step explanation:

We are told that there are about 120 fruits.

Fruits divided equally among 4 students

Multiples of 4:  4, 8, 12, ... 112, 116, 120, 124, ...

Therefore, 116, 120 and 124 are closest to 120.

Add the given remainder of 2 to these numbers:

Fruits divided equally among 6 students

Multiples of 6:  6, 12, 18, ... 108, 114, 120, 126 ...

Therefore, 114, 120 and 126 are closest to 120.

Add the given remainder of 4 to these numbers:

Fruits divided equally among 15 students

Multiples of 15:  15, 30, 45, ... 105, 120, 135, ...

Therefore, 105, 120 and 135 are closest to 120.

Add the given remainder of 13 to these numbers:

Therefore, as the total of 118 fruits is common to all three groups the exact number of fruits is 118.

Check

Divide 118 by each group of students:

As the remainders concur with the given amount of fruit left over for each group of students, this verifies that the exact number of fruits is 118.

The mass of the isotope after 45 hours is 2.5 grams.

Given, from the table we can find that when time is 10 hours,

the mass is 12.6 grams;

when time is 25 hours the mass is 6.3 grams .

And 12.6 × 1/2 = 6.3

Also we can find when time is 15 hours the mass is 10 grams,

when time is 30 hours, the mass is 5 grams as:

10 × 1/2 = 5

so we know that half life period is:

25 - 10 = 30 - 15 = 15 hours.

When time is 45 hours,

45 = 15+115

= 3 half life periods, so the mass is :

20 × 1/2 × 1/2 × 1/2

= 2.5 grams.

Hence the mass of the isotope after 45 hours is 2.5 grams.

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Answer:

12

Step-by-step explanation:

There are 12 1/2's in 6.

To find how many 1/2's there are in 6, you have to divide 6 by 1/2.

6 ÷ 1/2

To divide by a fraction, you have to multiply by the reciprocal (reverse the numerator and denominator of a fraction).

6/1 × 2/1

6 × 2

= 12

Have a lovely rest of your day! :)

Answer:

-32

Step-by-step explanation:

Pal, it's M A T H

Answer:

-32

Step-by-step explanation:

x-2x-20=12

-x=32

x=-32

.....................

Answer:

-9.5

Step-by-step explanation:

By cross multiplication, we have found the following results:

a) 20 miles are equal to 32.180 kilometers.

b) 64 kilometers are equal to 39.776 miles.

In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.

First, we must convert a distance of 20 miles to kilometers by cross multiplication:

x = 20 mi × (1.609 km / 1 mi)

x = 32.180 km

Second, we must convert a distance of 64 kilometers to miles by cross multiplication:

x = 64 km × (1 mi / 1.609 km)

x = 39.776 mi

The graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.

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Answer:

here is the answer⬇️