What is the Equation

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

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

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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Answer:

Median: 379

Tho if it wrong Which half $777, $498, $619, $379, $895, $1,256, $1,052?

The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7

We should know that in completing the square method both sides of the equation are made perfect squares.

The given equation is 5x²+20x-7=0

Solving this equation by completing the square method we have

5(x²+4x+4)=-7

This means that (x+2)=±√27/5

Simplifying further we have

5(x²+4x)=7

Then expanding to make ²HS a perfect square we have

5(x²+4x+4)=7+20

This means that 5(x²+4x)=-7

Therefore the step he could use is 5(x²+4x)=-7\

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Answer:

Hey

Step-by-step explanation:

Answer:

A. 28

Step-by-step explanation:

x = 28

Value of x in the rhombus is  \(28^{0}\).

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square.

According to the question

DB, CA are diagonal line

So, <CAB + <DBA = \(90^{0}\)

⇒ x + 6 + 2x =   \(90^{0}\)

⇒ 3x = 90 - 6

⇒ 3x = 84

⇒ x = \(\frac{84}{3}\)

⇒ x = \(28^{0}\)

Hence, value of x in the rhombus is  \(28^{0}\).

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Answer:

\(\frac{2/3}{1}\) and \(\frac{3}{1}\)

Step-by-step explanation:

Options

\(\frac{1}{1/3}\)     \(\frac{2/3}{1}\)     \(\frac{2}{3}\)     \(\frac{3}{1}\)     \(\frac{1}{9}\)

Required

Select the unit rates

Unit rate involve two items where the first item being measured can be any positive number, but the second item must be measured in units (i.e. 1)

For clarity:

If \(\frac{a}{b}\) represents unit rate, then \(b = 1\)

Having said that:

Only \(\frac{2/3}{1}\) and \(\frac{3}{1}\) satisfy the condition of unit rates; others are not because they have a denominator other than 1

Answer:

cube................

Answer:

A)

Step-by-step explanations:

The normal range using a compound inequality is 1.5 < x < 4

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

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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Answer: 25

Step-by-step explanation:

Subtract 46.50 - 46.25 and you’ll get 25

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

x=-1

Step-by-step explanation:

w-2=-8-5w

-2=-8-6w

+8 +8

6=-6w

divide 6 in both side

x=-1

hope this help.

Answer: f(x)=44

Step-by-step explanation:

Since x is given, we can directly plug it into our function.

\(f(8)=6(8)-4\)

\(f(8)=48-4\)

\(f(8)=44\)

Answer:

1/10 = 0.1

Step-by-step explanation:

The value of a 4 in the one thousands place = 4000

the value of a 4 in the ten thousands

= 40000

In fraction,The value of a 4 in the one thousands place to the value of a 4 in the ten thousands place

= 4000/40000

= 4/40

= 1/10

= 0.1

Answer:

a=90-67=23°

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

Answer:

4) overdraft fees

Step-by-step explanation:

if she now has a negative balance then she owes money to the couch store

Answer:

Overdraft fees

Step-by-step explanation:

An overdraft occurs when money is withdrawn in excess of what is on the current account. In this situation the account is said to be "overdrawn".

They have different y-intercepts but the same end behavior. Thus, option A is correct.

A step functiοn is  mathematical functiοn that takes οn finite number οf cοnstant values οver intervals οf its dοmain. It is alsο knοwn as staircase functiοn οr  piecewise cοnstant functiοn. The cοnstant values that  functiοn takes οn are οften referred tο as  "steps" οf the functiοn.

Tο graph the step functiοn, yοu wοuld start by drawing a cοοrdinate plane with the hοrizοntal axis ranging frοm -5 tο 5 and the vertical axis ranging frοm -2 tο 2. Then, yοu wοuld plοt the pοints (-5,-1), (-4,-1), (-3,0), (-2,1), (-1,1), (0,0), (1,1), (2,-1), (3,-1), (4,0), and (5,1) οn the graph.

They have different y-intercepts but the same end behavior.

They have different y-intercepts because function f(x) is 4, while the y-intercept on graph is 6

But they have the same end behavior at 2.

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Complete question:

Function g is represented by the equation.

\(\rm g(x) = 4 (\frac14)^x + 2\)

Which statement correctly compares the two functions?

A. they have different Y-intercepts but the same end behavior

B. they have the same Y-intercept and the same end behavior

C. they have the same Y-intercept but different end behavior

D. they have different Y-intercepts and different end behavior

Equations with a single unknown can be powerful tools in helping us understand complex phenomena and make predictions about how they will behave.

Yes, equations with a single unknown can be very helpful in understanding various phenomena. Mathematical equations allow us to express relationships between different variables and make predictions about how they will behave under different conditions. By solving equations, we can find the values of unknown variables and gain a deeper understanding of the system we are studying.

Other examples of equations with a single unknown that have had a significant impact include Newton's second law of motion, F=ma, which relates force (F) to mass (m) and acceleration (a), and the ideal gas law, PV=nRT, which relates pressure (P), volume (V), number of moles (n), and temperature (T) of a gas.

equations with a single unknown can be powerful tools in helping us understand complex phenomena and make predictions about how they will behave.

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Answer:

y is just x divided by 4 so in this case y would be 17.5

Step-by-step explanation:

Answer:

Point-slope form: y-3=-1(x-2)

Slope-intercept form: y=-x+5

The equation of the line will be y  =  - x  +  5  

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

The slope and the equation of the line will be given as:-

Point-slope form:

y  -  2  =  -  1  (  x  -  3  )

Slope-intercept form:

y  =  -  x  +  5

Therefore the equation of the line will be  y  =  - x  +  5  

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Answer:

no

Step-by-step explanation:

if the y 79 was changed to 49 then yes(in that case y=x^2) but the x 7 y 79 messes the relationship up.

Answer:

B.Inverse proportion

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )