Two students have found the slope of a line on a graph. Jeffrey says the slope is 1/3.
Mary says the slope is 2/6. Did they find the slope of the same line. How do you know?

Answer:

s-6

both of them are elements

but s is a letter while 6 is a number so these can not subtract each other because they are different values

The graph of the line with the slope of 4/3 and goes through the point (1,3) has been plotted

The slope of the line = 4/3

The line is passing through the point = (1,3)

Here we have to use the point slope form the line

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

Where m is the slope of the line

[tex](x_{1},y_{1} )[/tex] is the coordinate of the point

Substitute the values in the equation

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

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

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

y = (4/3)x + 5/3

We got the slope intercept of the line.

Plot the graph using the slope intercept form of  the line

Hence, the graph of the line with the slope of 4/3 and goes through the point (1,3) has been plotted

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Answer:

-55

Step-by-step explanation:

Number of bags= 16

Bag weight= 1.8 pounds

Then, number of pounds is

= 16x 1.8 = 28.8 pounds of cherries

Answer:

4 [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Make them equivalent

4 [tex]\frac{2}{3}[/tex]  if I multiply the numerator (top) and the denominator (bottom) by 2 I get

4[tex]\frac{4}{6}[/tex]

4 [tex]\frac{5}{6}[/tex] is greater than 4 [tex]\frac{4}{6}[/tex]

Answer: 65 min

 7 pounds

Step-by-step explanation:

The value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to  y = 2x - 5 is 6.

No matter how far we extend a parallel line, it will always remain straight. Take a look at the parallel lines in the following illustration. Lines "p" and "q" are parallel to each other as are lines "a" and "b."

We know that parallel lines have same slope, so the slope of y = 2x - 5 is 2 according the y intercept form, y = mx + b

Now using the point-slope form we will find the line parallel to Point B (6, 8)

y − y₁ = m(x − x₁)

Put m as 2, y₁ as 8 and x₁ as 6, and we wil get

y − 8 = 2(x −6)

y = 2x − 4 or

2 = (y + 4)/x           (slope)

We will us point-slope form for point A(n, 4) too

y − 4 = 2(x −n)

y = 2x − 2n + 8 or

2 = (y - 8 + 2n)/x

As slope 2 is same in both points it means their equations are same too

(y + 4)/x  =  (y - 8 + 2n)/x

Lest solve for n

(y + 4)/x  =  (y - 8 + 2n)/x

y + 4 =  y - 8 + 2n

4 = - 8 + 2n

4 + 8 = 2n

2n = 12

n = 12/2

n = 6

Thus, the value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to  y = 2x - 5 is 6.

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hello

to solve for x, let's cross multiply both sides

step 2

divide both sides by -2

x = - 6

Answer:

x = -6

Step-by-step explanation:

Answer: if you are talking about mixed number form the answer is 1 1/11 the improper/exact form would just be twelve over eleven (12/11)

Step-by-step explanation:

Answer:

k = -2.

Step-by-step explanation:

By the Factor Theorem, if x - 1 is a factor then p(1) = 0.

So, p(1) = (1)^2 + 1  + k = 0

k = -1 - 1

k = -2.

D has a value of 13 using vertical angles.

What is a vertical angle?

Assuming that C and D constitute vertical angles

The formula is C = (-3x) + 58 and D = x - 2.

We must ascertain what D's measurement is.

Vertical angles are really a pair of opposing angles created when two lines cross.

A and B in the figure represent vertical angles. C and D are also.

Angles vertically are always congruent. Accordingly, in this illustration, A, B, and C, D

Therefore, value of C = D (-3x)+ 58 = x – 2

By assembling,

(-3x )- x = (-2) - 58

By doing more math, 4x = 60 (-4x = - 60)

4 x = 60/4 x = 15 when both sides are divided.

So, ∠D = (x - 2) and  

= 15 - 2 

So, ∠D = (x - 2) and  

Consequently, D has a value of 13 using vertical angles.

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Given the function

When P(t)=3000

Hence, it will take 10.06yr for the population to reach 3000, option F

Answer:

The terms are rearranged, so the Commutative Property is correct.

A. Mean = 71

B. Median = 75

C. Mode = 0

D. Mean is used to represent data, because mean measures central tendency.

From the given stem we have to write a data set ,

Data set = 35, 42, 43, 51, 55, 57, 62, 66, 68, 69, 74, 75, 76, 77, 78, 79 , 82, 84, 86, 88, 93, 94, 101

Mean = average

         = sum of all numbers / total number of values .

         = 1635 / 23

         = 71.08 = 71

Median = middle term

Total there are 23 terms so middle term is the 12th term .

So median = 75

Mode = Most repeated term or term that has high frequency.

Here no terms are repeating so mode = 0

By comparing mean , median and mode ,

Mean is used to represent data .Because, the mean is the most commonly used measure of central tendency because it averages all of the values in the data set.

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The value of x is 2 is and y is -1 is after solving equation by elimination method

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

5x + 7y=3 .....(i)

-5x + 7y=-17......(ii)

Solve equation ii and iii

-5x + 7y=-17

5x + 7y=3

14y = -14

y = -1

put the value of y in equation 1

5x + 7y=3

5x + 7(-1)=3

5x - 7 = 3

5x = 10

x =2

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Answer: (3,-13)

Step-by-step explanation:

[tex]f(x)=-x^2-4\\x=3[/tex]

It is to be noted that the distance between P and ρ is: [tex]\approx[/tex] 15.52

This solution is arrived at using the Line Segment theorem. See further explanation below.

The length of the line segment connecting two points in a plane is defined as the distance between two points. The method for calculating the distance between two locations is often written as

[tex]d = \sqrt{((x_{2} – x_{1})² + (y_{2} – y_{1})²).} [/tex]

Hence, since we have ρ is to contain two points, we will solve as follows:

Distance between ρ and P where ρ is (0, -3) and (7,4)

we have to multiply the coordinates.

To multiply coordinates, you have to multiply the corresponding values.

That is

[tex]x_{1} \times x_{1} [/tex]

and

[tex]y_{1} \times y_{1}[/tex]

In this case:

x1 = 0

[tex]x_{1} = 0[/tex]

also

[tex]x_{1} = 7[/tex]

[tex]y_{1} = - 3[/tex]

also

[tex]y_{1} = 4[/tex]

Hence, for

[tex]x_{1} = 0 \times 7 = 0[/tex]

for

[tex]y_{1} = - 3 \times 4 = 12[/tex]

Hence, solving for the distance between P and ρ, we'd use coordinates of P as = (4, 3); and coordinates of ρ as = (0, -12)

Recall that distance is given as

[tex]d = \sqrt{((x_{2} – x_{1})² + (y_{2} – y_{1})²).} [/tex]

Hence,

d = √((0-4)² + (-12-3))²)

[tex]d = \sqrt{{(( {0 - 4}^{2} }) + { (- 12 - 3)}^{2} } [/tex]

Expand the brackets

[tex]d = \sqrt{ { - 4}^{2} + ( { - 15}^{2} } )[/tex]

[tex]d = \sqrt{16 + 225} [/tex]

[tex]d = \sqrt{441} [/tex]

d = 15.5241746963

Approximately,

d = 15.52

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Hello, the correct answer to the question should be [tex]263.63[/tex] dollars.

Tyrone does not have any money in his bank account. Also, his balance contains a negative symbol, which means that he owes money to the bank.

When his paycheck arrives, money will come into his account. This means that Tyrone will pay off his debt to the bank.

Since the money coming into his account and his balance have different symbols, we will add the two values and get the result.

The equation of the function S(p(x)), rounded to the nearest ten thousandth is S(p(x)) = 140,000(0.9732)ˣ option (C) is corrrect.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation of the function:

p(x) = 140,000(0.965)ˣ

Which is the annual population decrease of giraffes in the wild of 3.5% due to development.

Plug x = 1.0085

[tex]\rm p(x) = 140,000(0.965)^{1.0085}[/tex]

S(p(x)) = 140,000(0.965)ˣ(1.0085)ˣ

S(p(x)) = 140,000(0.9732)ˣ

Thus, the equation of the function S(p(x)), rounded to the nearest ten thousandth is S(p(x)) = 140,000(0.9732)ˣ option (C) is corrrect.

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The solution to the system of equations as an ordered pair is (4, -3).

We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.

We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".

y = (-1/2)x - 1

(-1/4)x + y + 4 = 0

Substitute the value of "y" from the first equation into the second equation.

(-1/4)x + (-1/2)x - 1 + 4 = 0

(-3/4)x+3 = 0

(3/4)x = 3

x = 4

Substitute the value of "x" back into the first equation to get the value of "y".

y = (-1/2)x - 1

y = (-1/2)4 - 1

y = -2 - 1

y = -3

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Answer:

88888

88889

88898

....

2^5 = 32

An integer exists a whole number that can be positive, negative, or zero and is not a fraction.

Unlike fractional numbers, integers can only be positive, negative, or zero. On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. An integer is a whole number that can be positive, negative, or zero and is not a fraction.

Any number that exists a part of a collection of all the aforementioned number categories is considered an integer. Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

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Answer:

There is not sufficient evidence to support the conclusion that senators are average younger than 60.35

Step-by-step explanation:

Given a simple random sample, the size is 40 senators.

Since the relevant statistic is the sample mean, 60.35 years.

Calculate t as:

*Significance level is 0.05.

Area of 0.05, one-tail yields t=1.685.

Since t=4.82 does not fall in the critical region bounded, we fail to reject the null hypothesis.

There is not sufficient evidence to support the conclusion that senators are average younger than 60.35

Answer: B. Function g is the result of f being translated left 2 units and up 4 units. and C. The graph of function f opens upward.

Step-by-step explanation:

It is translated 2 units to the left and 4 units up because in the function of a(x-h)^2k, h represents the function going left of right and k representing the function going up and down. a represents it stretching if it is greater than 1 and compressing if less than 1 and if it is negative it reflects over the x axis however here nothing changed for the a so it did not stretch nor compress nor reflect over the x axis

1) Judging by the picture, which resembles a construction done with a compass with the same distance, therefore we can tell a regular polygon.

2) We can also trace some line segments then we'll have a:

Mean = Sum of points/ number of points

Median

Solving the questions from the given equations

1)the monthly cost per head to feed them if the grain you feed is $27.00 per 50lb bag is $16.2

2) The cost per head per month is $23.4

3) The cost per head per month is $39

What is Equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

1) The grains use feed for one horse = 4.5pound

The cost of 1 bag of grain = $27 per 50lb

The cost of 1lb grain = $0.54

Now the monthly cost of the grain will be:

Cost/head/day x # of days in month = Cost/head/month

$0.54 x 30 = $16.2

Hence, the monthly cost per head to feed them if the grain you feed is $27.00 per 50lb bag is $16.2

2) The amount of grain use to feed for one head = 1.5pound

If the grain is feed twice a day = 1.5 x 2

                                                   = 3.0

The cost of the grain = $13 per 50lb

The cost of 1lb grain = 13 / 50

                                  = $0.26

The cost of grain feed in one day = 0.26 x 3

                                                        = $0.78

The cost of per head per month =

0.78 x 30 = $23.4

Hence, The cost per head per month is $23.4

3)The amount of grain use to feed for one head = 2.5pound

If the grain is feed twice a day = 2.5 x 2

                                                   = 5pounds

The cost of the grain = $13 per 50lb

The cost of 1lb grain = 13 / 50

                                  = $0.26

The cost of grain feed in one day = 0.26 x 5

                                                        = $1.3

The cost of per head per month =

1.3 x 30 = $39

Hence, The cost per head per month is $39

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Answer:

x = 70

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 160 + 110 + 105 + 95 = 540

x + 470 = 540 ( subtract 470 from both sides )

x = 70

The speed of the particle at time t=4 is 5 units.

We are given the x(t) vs time curve.

To find:

Speed of particle at t = 4

We know that the slope of x-t curve represents the speed of the particle.

To calculate the speed of the particle at t = 4, We will calculate the slope of the curve at t = 4

Slope = y₂ -y₁ / x₂ - x₁

Slope = 40 - 10 / 6 - 0

Slope = 30 /6

Slope = 5

From here we can say that the slope of the curve between x = 0 and x = 6 is equal to 5.

So the value of speed is also 5 units.

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Answer:

A composite number is a whole number greater than 1 with more than two factors.

Step-by-step explanation: