Express X^2-8x+5 in the for (x-a)^2-b where a and b are integers

Answer: 1.5s+20

Step-by-step explanation:

Answer:

c = \(\frac{5}{8}\)

Step-by-step explanation:

First, expand the brackets by applying the Distributive Law:

\(= -8c + 8 = 3\)

Then bring all the like terms together and isolate c. Move '3' to the left and '8c' to the right: of the equation:

\(= 8 - 3 = 8c\)

= \(5 = 8c\)

= \(c = \frac{5}{8}\)

Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

To learn more about subjective probability, visit

brainly.com/question/14743062

#SPJ4

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

Answer:

150=(55-c)(5.5-t)

5.5-t=150/(55-c)

-t=(150-302.5+5.5c)/(55-c)

t=(152.5-5.5c)/(55-c)

150=(55+c)t   using t found about

150=(55+c)(152.5-5.5c)/(55-c)

8250-150c=8387.5-302.5c+152.5c-5.5c^2

5.5c^2=137.5

c^2=25

c=5

So the current is 5mph.

Step-by-step explanation:

Answer:

A.

The angles may not be equal

only if the quadratic is inscribed in a circle and this quadratic is determined or said to be a cyclic quadrilateral then we may say that the angles are equal but here it may not.

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

To know more about domain here

https://brainly.com/question/28599653

#SPJ4

Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

The club needs 8 more students to meet the minimum requirement of 25 students.

In order for the club to be formed at the school:

To determine how many more students the club needs to reach the minimum required, we need to subtract the current number of students from the minimum number of students required.

The equation to determine how many more students the club needs is:

25 - 17 = 8

So the club needs 8 more students to reach the minimum

Read more about expression at

https://brainly.com/question/4344214

#SPJ1

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

For more questions on graph

https://brainly.com/question/29538026

#SPJ8

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

for such more questions on matrix

https://brainly.com/question/1279486

#SPJ8

The correct answer is option (c): They are both solid lines.

In mathematics, an inequality is a statement that two values are not equal. Instead, one value is either greater than or less than the other value. Inequalities are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, the inequality 5 < 8 means that 5 is less than 8, while the inequality x + 3 > 7 means that the sum of x and 3 is greater than 7.

Inequalities can be graphed on a number line, which is a horizontal line that represents the set of real numbers. To graph an inequality on a number line, you can draw a closed or open circle at the value of the variable that satisfies the inequality, and shade the region to the left or right of the circle, depending on the direction of the inequality.

For example, to graph the inequality x < 3, you would draw an open circle at 3 on the number line, and shade the region to the left of the circle, because x is less than 3. Similarly, to graph the inequality y ≥ -2, you would draw a closed circle at -2 on the number line, and shade the region to the right of the circle, because y is greater than or equal to -2.

Graphing inequalities on a number line is a useful tool for solving problems and visualizing the solutions to inequalities in one variable.

The inequality y ≤ 3x + 5 can be written as y = 3x + 5 or y > 3x + 5. Similarly, the inequality y ≤ (2/3)x + 5 can be written as y = (2/3)x + 5 or y > (2/3)x + 5. Since the inequality symbols are less than or equal to, the lines representing these inequalities will be solid lines.

Also, since the coefficients of x and y are positive in both the inequalities, the lines will have a positive slope and will slant upwards from left to right. The y-intercept of both lines is 5.

Hence, the correct answer is option (c): They are both solid lines.

To know more about intercept visit:

https://brainly.com/question/14180189

#SPJ1

The lines will have a positive slope and slant upward from left to right since the coefficients of x and y in both inequalities are positive. Both lines have a y-intercept of 5.

Hence, option (c) is the appropriate response: Both of them are solid lines.

In mathematics, an inequality is a statement that two values are not equal. Instead, one value is either greater than or less than the other value. Inequalities are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, the inequality 5 < 8 means that 5 is less than 8, while the inequality x + 3 > 7 means that the sum of x and 3 is greater than 7.

Inequalities can be graphed on a number line, which is a horizontal line that represents the set of real numbers. To graph an inequality on a number line, you can draw a closed or open circle at the value of the variable that satisfies the inequality, and shade the region to the left or right of the circle, depending on the direction of the inequality.

For example, to graph the inequality x < 3, you would draw an open circle at 3 on the number line, and shade the region to the left of the circle, because x is less than 3. Similarly, to graph the inequality y ≥ -2, you would draw a closed circle at -2 on the number line, and shade the region to the right of the circle, because y is greater than or equal to -2.

Graphing inequalities on a number line is a useful tool for solving problems and visualizing the solutions to inequalities in one variable.

The inequality y ≤ 3x + 5 can be written as y = 3x + 5 or y > 3x + 5. Similarly, the inequality y ≤ (2/3)x + 5 can be written as y = (2/3)x + 5 or y > (2/3)x + 5. Since the inequality symbols are less than or equal to, the lines representing these inequalities will be solid lines.

Also, since the coefficients of x and y are positive in both inequalities, the lines will have a positive slope and will slant upwards from left to right. The y-intercept of both lines is 5.

Hence, the correct answer is an option (c): They are both solid lines.

To know more about intercept visit:

brainly.com/question/14180189

#SPJ1

Answer:

L=  y=4

M= y= -2x+4

N= y=x-1

P= x=-4

Step-by-step explanation:

In order for the system of equations to be a consistent system, the value of k must be equal to -4.

To determine the value of k that makes the system of equations consistent, we can use the method of elimination or substitution. Let's use the method of elimination.

First, we can multiply the first equation by 5, the second equation by -1, and the third equation by 2 to make the coefficients of x in the three equations cancel each other out when added together.

The modified system of equations becomes:

5x - 10y + 20z = 20

5x - 9y + 22z = 16

-4x + 6y - 20z = 2k

Now, let's subtract the first equation from the second equation:

(5x - 9y + 22z) - (5x - 10y + 20z) = 16 - 20

y + 2z = -4

Next, let's add this equation to the third equation:

(-4x + 6y - 20z) + (y + 2z) = 2k - 4

-4x + 7y - 18z = 2k - 4

For the system of equations to be consistent, there must be no contradictions or inconsistencies. This means that the equations must be linearly dependent, and the last equation must be a multiple of the second equation.

Comparing the last equation (-4x + 7y - 18z = 2k - 4) with the second equation (y + 2z = -4), we can see that the two equations will be dependent and consistent if 2k - 4 is equal to 0.

2k - 4 = 0

2k = 4

k = 2

Therefore, in order for the system of equations to be a consistent system, the value of k must be equal to -4.

To learn more about elimination click here, brainly.com/question/29807794

#SPJ11

Answer:

6

Step-by-step explanation:

2x2=4

3x2=6

:D

Answer:

6

Step-by-step explanation:

small triangle is 2 and 3

big triangle is 4 and m

2 times 2 is 4

3 times 2 is 6

Sorry if this is wrong...

The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

Learn more about mathematics here: brainly.com/question/24600056

#SPJ4

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

Learn more about probability  here:

https://brainly.com/question/31828911

#SPJ4

Answer:

53

Step-by-step explanation:

1/2(64)+(3)(7)

=32+(3)(7)

=32+21

=53

Answer:

0.0625

Step-by-step explanation:

Answer:

complementary angle

Step-by-step explanation:

hope this helps u

Answer:

896 in.^3

Step-by-step explanation:

Find the volume of each prism, and add the two volumes together.

V = BH

Upper prism:

Vupper = (1/2)bhH = (1/2)(6 in.)(12 in.)(14 in.)

Vupper = 504 in.^3

Lower prism:

Vlower = (1/2)bhH = (1/2)(7 in.)(8 in.)(14 in.)

Vlower = 392 in.^3

Volume = Vupper + Vlower

Volume = 504 in.^3 + 392 in.^3

Volume = 896 in.^3

Answer: 896 ci

Step-by-step explanation:

The positive exponent for the given expression is 1/5.

A positive exponent tells us how many times to multiply a base number, and a negate

ve exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.

The given exponent is \(25^{-\frac{1}{2}\).

Now, \(25^{-\frac{1}{2} }=(5^2)^{-\frac{1}{2}\)

= 5⁻¹

= 1/5

Therefore, the positive exponent for the given expression is 1/5.

To learn more about the positive exponent visit:

https://brainly.com/question/1773695.

#SPJ1

The speed of the plane relative to the ground if no action is taken by the pilot is 79.5 km/h westward.

Given information: The speed of the plane with respect to still air is 160 km/h.

West wind starts to blow at a constant speed of 80.5 km/h.

Let us consider Vp be the speed of the plane relative to the groundVw be the speed of the wind

So, the speed of the plane with respect to the ground is given by

                         Vp = Vp + VwVp = 160 + (-80.5)

Thus, the speed of the plane relative to the ground if no action is taken by the pilot is 79.5 km/h westward.

Learn more about speed

brainly.com/question/6280317

#SPJ11

If a measure that is in 4/4 time has a half note, a quarter note, and an eighth note, a sixteenth note value is missing.

4/4 time signature is also known as a common time signature. In a 4/4 measure, we have four beats or counts, and each quarter note takes one beat or count. A half note gets two beats or counts, a quarter note gets one beat, and an eighth note gets half a beat.

Therefore, if a measure in 4/4 time has a half note, a quarter note, and an eighth note, then a sixteenth note value is missing because a sixteenth note gets one-quarter of a beat or count.

To learn more about note refer :

https://brainly.com/question/3841337

#SPJ11

To estimate the mean per capita income for a major city in California with an error of at most $0.56 at the 85% confidence level, the economist needs to determine the required sample size.

To calculate the required sample size, we can use the formula: \(n = \left(\frac{{Z \cdot \sigma}}{{E}}\right)^2\), where \(n\) is the sample size, \(Z\) is the Z-score corresponding to the desired confidence level (in this case, for 85% confidence level, \(Z \approx 1.44\)), \(\sigma\) is the known standard deviation (\$6.6), and \(E\) is the desired margin of error (\$0.56). Plugging in the values, we have \(n = \left(\frac{{1.44 \cdot 6.6}}{{0.56}}\right)^2 \approx 52\). Therefore, a sample size of approximately 52 would be required to estimate the mean per capita income with an error of at most $0.56 at the 85% confidence level.

know more about per capita income :brainly.com/question/2041857

#SPJ11

Answer:

Supplementary angles add upto 180 degrees. Since angles L and M are supplementary, the sum the two angles must be 180 degrees.

Step-by-step explanation:

If the discriminant is negative, then neither of the solutions is a real number.

Since the discriminant is a negative number 7, then there is/are no real solutions to the quadratic equation.

One cup can hold (A), you will need a total of 205.37 paper cups (B), and a total of 5 packages (C).

Let's calculate the volume of the cone:

V=1/3πhr²

V= 1.04 x 11 x 4 ^2 (diameter / 2 radius)

V= 1.04 x 11  x 16 = 184.30 cubic centimeters

Total of lemonade: 37850 cubic centimeters (10 gallons x 3785 cubic centimeters per gallon)

37850 / 184.30 = 205.37 cups

205.37 / 50 cups = 4.1 packages

However, as you need to buy complete packages, this can be rounded to 5 packages.

Learn more about volume inhttps://brainly.com/question/1578538

#SPJ1