12x^2+17x=5 answer with factoring, answers may be a fraction?

According to the data, the highway is 84 miles, the length of Valley Road is 60 miles, and the shortest mile is 24 miles less than the longest.

To calculate the length of the Highway route we must perform the following mathematical procedure:

To calculate the length of the Valley Road Route we must perform the following mathematical procedure:

To calculate the length that is saved by taking the shortest route we must carry out the following mathematical procedure:

Note: This question is incomplete due to missing information. Here is the missing information.

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The given polynomial is

To know if the factor x-1 is a zero of the polynomial, we just have to replace x = 1 in the expression. If we get zero, then z-1 is a solution.

Since x = 1 didn't result in zero, we can deduct that x-1 is not a solution to the given expression.

A graph is the graph of a function if no vertical line intersects the graph at more than one point. This is because a function is a set of ordered pairs (x, y), where each x-value is paired with a unique y-value. If a vertical line intersects the graph at more than one point, then there is more than one y-value for a given x-value, which violates the definition of a function.

To determine whether a graph is the graph of a function, you can use the vertical line test. The vertical line test is a simple test that involves drawing a vertical line through the graph. If the vertical line intersects the graph at more than one point, then the graph does not represent a function.

If, on the other hand, the vertical line intersects the graph at only one point at any given x-value, then the graph represents a function.

In other words, a graph is the graph of a function if no vertical line intersects the graph at more than one point. This is because a function is a set of ordered pairs (x, y), where each x-value is paired with a unique y-value. If a vertical line intersects the graph at more than one point, then there is more than one y-value for a given x-value, which violates the definition of a function.

It's important to note that a graph may only represent a function on a certain domain, and may not represent a function on a different domain. Additionally, some functions may be represented by more than one graph. However, using the vertical line test is a useful and reliable way to determine whether a given graph represents a function or not.

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The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

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The equation is false (we can remove the dependence with the variable x) that is why the equation has no solutions.

Here we have the following linear equation:

5 - 4x - 7 - 10x = -8x - 4 - 6x - 10

We want to see why we don't have any solutions, to check that, we need to simplify both sides of the equation. Let's start by grouping like terms:

5 - 4x - 7 - 10x = -8x - 4 - 6x - 10

(5 - 7) + (-4x - 10x) = (-4 - 10) + (-8x - 6x)

-2 - 14x = -14 - 14x

Notice that now we can add 14x in both sides of the equation, then we will get:

-2 -14x + 14x = -14 - 14x + 14x

-2 = -14

So we have a false equation, this happens because the equation does not truly depend of the value of x.

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Answer:

Value of equation = 74

Step-by-step explanation:

Given:

-26x - y

And

x = -3

y = 4

Find:

Value of equation

Computation:

-26x - y

By putting value

-26(-3) - 4

78 - 4

74

Value of equation = 74

Incomplete question. I inferred you want to know the properties of parallel and perpendicular lines. Which I provided below.

Explanation:

In geometry, parallel lines are two lines that are always drawn at the same distance apart and never touch each other. Parallel lines are usually denoted by the symbol ∥.

Here are some of their properties;

When a transversal intersects two parallel lines:

Perpendicular lines are two lines that meet at a right angle (90 degrees) to each other.

Properties: two lines that meet, implies all four angles are right angles.

Answer:

Jan is not correct

Step-by-step explanation:

Rhombus and parallelogram both have their opposite angles to be equal and the opposite sides to be parallel but Rhombus has all its sides to be equal like the square while the parallelogram has only the opposite sides to be equal like the rectangle

The p value of the test when the cell phone user wants to determine what data plan she should get is 0.1324.

The p-value is a figure that, when generated from a statistical test, indicates how likely it is that, if the null hypothesis were true, you would have discovered a certain collection of observations. In order to determine whether to reject the null hypothesis, P-values are utilized in hypothesis testing.

The following can be deduced from the information:

Number = 15

Mean = 11.25

Standard deviation = 2.5

Test statistics = -1.162

This is the left tailed test.

The p value will be:

P(z < -1.162 )

This will be looked at in the distribution table

= 0.1324

P-value = 0.1324

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A) The outdoor temperature is greater than 75 degrees. represents the inequality > 75.

What is inequality ?

Inequality is a mathematical concept that represents a comparison between two values or expressions that are not equal. An inequality is a statement that one value or expression is greater than, less than, greater than or equal to, less than or equal to, or not equal to another value or expression.

The symbols used in inequalities are:

According to the question:
The inequality > 75 means that the temperature is greater than 75 degrees Fahrenheit. The symbol ">" is used to represent "greater than".

Option A, "The outdoor temperature is greater than 75 degrees", represents this inequality because it uses the phrase "greater than" to describe the temperature, which is the same as the ">" symbol used in the inequality.

Option B, "The outdoor temperature is 75 degrees or cooler", does not represent the inequality > 75 because it includes temperatures that are not greater than 75 degrees.

Option C, "The outdoor temperature is warmer than 75 degrees", is similar to option A, but it uses the phrase "warmer than" instead of "greater than". While these phrases are often used interchangeably in casual conversation, in mathematical language "greater than" is more precise and is the term used in the inequality.

Option D, "The outdoor temperature is 75 degrees or warmer", represents the opposite inequality, < 75, because it includes temperatures that are equal to or greater than 75 degrees, while the original inequality > 75 excludes temperatures that are exactly 75 degrees.


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Answer:

38°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°.

3x - 13 + x + 16 + x + 2 = 180

5x + 5 = 180

5x = 180

x = 36

Replace x with 36 in the given expression:

∠ACB = 38°

The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

If Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region, it means that the test statistic does not provide enough evidence to reject the null hypothesis.

In this case, Chastity should fail to reject the null hypothesis and accept it as the plausible explanation. This implies that there is not enough evidence to support the alternative hypothesis.

When a test statistic falls outside of the critical region, it indicates that the observed data is not extreme enough to reject the null hypothesis. The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

In summary, when Chastity's test statistic falls outside of the critical region, she should fail to reject the null hypothesis and accept it as the plausible explanation. This means that there is not enough evidence to support the alternative hypothesis at the given alpha level of .01.

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\(M(ax+by +c)=0\\\\\implies ax+by +c =0\\\\\implies by = -ax-c\\\\\implies y = \dfrac{-ax -c}{b}\\\\\implies y = - \left(\dfrac{ax+c}b \right)\)

Answer:

Topic - Logarithmic problem

Given. log_{36}(8)=alog

36

(8)=a

To find. The value of \frac{3-2a}{3}

3

3−2a

= ?

Solution.

Here, log_{36}(8)=alog

36

(8)=a

\Rightarrow \frac{log_{e}(8)}{log_{e}(36)}=a⇒

log

e

(36)

log

e

(8)

=a

\Rightarrow \frac{3\:log_{e}(2)}{2\:log_{e}(6)}=a⇒

2log

e

(6)

3log

e

(2)

=a

\Rightarrow \frac{log_{e}(2)}{log_{e}(6)}=\frac{2a}{3}⇒

log

e

(6)

log

e

(2)

=

3

2a

\Rightarrow \frac{2a}{3}=\frac{log_{e}(2)}{log_{e}(6)}⇒

3

2a

=

log

e

(6)

log

e

(2)

Now, \frac{3-2a}{3}

3

3−2a

\quad=1-\frac{2a}{3}=1−

3

2a

\quad=1-\frac{log_{e}(2)}{log_{e}(6)}=1−

log

e

(6)

log

e

(2)

\quad=\frac{log_{e}(6)-log_{e}(2)}{log_{e}(6)}=

log

e

(6)

log

e

(6)−log

e

(2)

\quad=\frac{log_{e}(\frac{6}{2})}{log_{e}(6)}=

log

e

(6)

log

e

(

2

6

)

\quad=\frac{log_{e}(3)}{log_{e}(6)}=

log

e

(6)

log

e

(3)

\quad=log_{6}(3)=log

6

(3)

\Rightarrow\frac{3-2a}{3}=log_{6}(3)⇒

3

3−2a

=log

6

(3)

Answer: \frac{3-2a}{3}=log_{6}(3)

3

3−2a

=log

6

(3)

Rules to remember:

log_{a}(b)=\frac{log_{c}(a)}{log_{c}(b)}log

a

(b)=

log

c

(b)

log

c

(a)

log_{e}(\frac{a}{b})=log_{e}(a)-log_{e}(b)log

e

(

b

a

)=log

e

(a)−log

e

(b)

Using the property of logarithms, if log₈(36) = a, then the expression 3 - 2a/3 equals 5/3.

To solve this equation, let's break it down step by step:

Given the expression: log₈(36) = a

Step 1: Find the value of "a"

Using the property of logarithms, we can express 36 as a power of 8:

36 = 8²

So, log₈(36) = log₈(8²) = 2

Therefore, a = 2.

Step 2: Substitute the value of "a" into the given equation:

3 - 2a/3 = 3 - 2(2)/3 = 3 - 4/3 = 9/3 - 4/3 = 5/3

So, 3 - 2a/3 = 5/3.

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Answer:

Step-by-step explanation:

To solve the given problem using matrices, let's represent the number of ounces of jam in each type of jar as variables.

Let:

L = Number of ounces of jam in the large jar

S = Number of ounces of jam in each small jar

Based on the given information, we can create the following equations:

Equation 1: L + 3S = 14 (One large jar and three small jars together can hold 14 ounces of jam)

Equation 2: L - S = 2 (One large jar minus one small jar can hold 2 ounces of jam)

We can represent these equations in matrix form as follows:

| 1   3 |   | L |   | 14 |

| 1  -1 | * | S | = |  2 |

To solve the system of equations, we can use matrix inversion. First, let's calculate the inverse of the coefficient matrix:

| 1   3 |   | a   -3 |

| 1  -1 | = | 1   -1 |

Next, multiply the inverse of the coefficient matrix by the constant matrix:

| a   -3 |   | 14 |   | L |

| 1   -1 | * |  2 | = | S |

Performing the matrix multiplication, we get:

(14a - 3*2) = L

(a - 2) = S

Simplifying the equations, we have:

14a - 6 = L

a - 2 = S

Now, we can substitute the value of "a" into the equation for "L" to solve for "L":

14a - 6 = L

14(a - 2) - 6 = L

14a - 28 - 6 = L

14a - 34 = L

So, we have found that L = 14a - 34.

Now, we can substitute the value of "a" into the equation for "S" to solve for "S":

a - 2 = S

Since we don't have a specific value for "a," we can express "S" in terms of "a" as well:

S = a - 2

So, we have found that S = a - 2.

Therefore, the solution for the system of equations is L = 14a - 34 and S = a - 2, where "a" represents any real number.

This means that the number of ounces of jam in the large jar can be represented as 14 times any real number "a" minus 34, and the number of ounces of jam in the small jars can be represented as any real number "a" minus 2. The specific values for L and S would depend on the chosen value of "a".

Answer:

Step-by-step explanation:

You want a matrix solution to the equations represented by ...

  \(\left[\begin{array}{cc}1&3\\1&-1\end{array}\right] \left[\begin{array}{c}l\\s\end{array}\right] =\left[\begin{array}{c}14\\2\end{array}\right]\)

Adding the coefficients as a column in the coefficient matrix, we get the augmented matrix ...

  \(\left[\begin{array}{cc|c}1&3&14\\1&-1&2\end{array}\right]\)

Replacing the second row with the difference of the first and second rows, we have ...

  \(\left[\begin{array}{cc|c}1&3&14\\0&4&12\end{array}\right]\)

This upper triangular form is sufficient to tell the solution. The remaining steps formalize that solution.

Dividing the second row by 4 gives ...

  \(\left[\begin{array}{cc|c}1&3&14\\0&1&3\end{array}\right]\)

Finally, subtracting 3 times the second row from the first gives the solution.

  \(\left[\begin{array}{cc|c}1&0&5\\0&1&3\end{array}\right]\)

This tells us

  \(\left[\begin{array}{c}l\\s\end{array}\right] =\left[\begin{array}{c}5\\3\end{array}\right]\)

A large jar holds 5 ounces of jam; a small jar holds 3 ounces.

__

Additional comment

We could also solve this by computing the inverse of the coefficient matrix, and left-multiplying each side of the equation by that.

We like the calculator's ability to write the augmented matrix in "reduced row-echelon form" in one step. Using matrix multiplication requires more work, even with the calculator's help.

<95141404393>

Answer:

k = 8

Step-by-step explanation:

8(10 - k) = 2k

First, distribute within the parenthesis,

80 - 8k = 2k

Add 8k to both sides of the equation

80 = 10k

Divide both sides by 10 to get your answer

8 = k

I hope this helps :)

Answer:

14 square units

Step-by-step explanation:

Answer:

0.5 X 6 X 2 = 6 square units

A type II error would occur if the candidate is actually a drug user, but the drug test incorrectly classifies them as a nonuser.

A type II error occurs when the null hypothesis is not rejected, even though it is false.

In this case, the null hypothesis is that the job candidate is not a drug user.

Therefore, a type II error would occur if the candidate is actually a drug user, but the drug test incorrectly classifies them as a nonuser.

In other words, a type II error would occur if the drug test fails to detect drug use in a job candidate who is actually a drug user.

This means that the organization would mistakenly hire a drug user, which could have negative consequences for the workplace and potentially put the safety of others at risk.

To minimize the risk of type II errors, organizations should use drug tests that are as accurate as possible and consider using multiple types of tests or follow-up testing to confirm results.

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Francisco teaches group lessons to all of the violin and viola students at the Scott School of Music. All of his classes have the same number of students.

What is the greatest number of students he can have in each class We can determine the greatest number of students that Francisco can teach in each class by finding the greatest common factor (GCF) of the total number of violin and viola students at the school.

Suppose there are a total of m violin students and n viola students. Then the total number of students at the school is m + n. Let's find the GCF of m and n in order to determine the greatest number of students Francisco can teach in each class.

GCF of m and n will give us the number of students that can be divided equally among all the classes. Following the steps to find GCF :

Step 1 :List down all factors of m and n

Step 2 :Identify the common factors of both m and n

Step 3 :Find the largest common factor m and n. We find the factors of m and n below: Suppose m = 36 and n = 72.Therefore, the greatest common factor of m and n is 36.So, the greatest number of students that Francisco can teach in each class is 36.

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To calculate the probability that two given persons are adjacent when six people seat themselves at a round table, we need to consider the total number of seating arrangements and the number of arrangements where the two given persons are adjacent.

Total Number of Seating Arrangements:

The total number of seating arrangements for six people at a round table can be calculated as (6-1)! = 5!, since we fix one person's position and arrange the remaining five people around the table.

Number of Arrangements with Two Given Persons Adjacent:

To calculate the number of arrangements where the two given persons are adjacent, we can consider them as a single entity. So we have 5 entities (including the pair of adjacent persons) to arrange around the table. The number of arrangements for these entities is (5-1)! = 4!.

Therefore, the probability that the two given persons are adjacent is given by:

Probability = Number of Arrangements with Two Given Persons Adjacent / Total Number of Seating Arrangements

= (4!) / (5!)

= 1/5

= 0.2 or 20%

So, the probability that the two given persons are adjacent when six people seat themselves at a round table is 0.2 or 20%.

\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Answer:

-3 + 12x

Step-by-step explanation:

3 - 2(-6x + 3)

3 + 12x - 6

-3 + 12 x

Hope this helped! :)

Answer:

Step-by-step explanation:

Basically 3/8 "times" 2

The equations

8/2 = 4

So it will be 3/4

Answer:

The helicopter must cover a straight line distance of approximately 61.270 miles from the hospital to the wreck site.

Step-by-step explanation:

Let suppose that Air Care helicopter travels in straight line from the hospital to the wreck site, we can determine that distance (\(d\)), measured in miles, by using the following Pythagorean identity from Analytical Geometry:

\(d = \sqrt{(x_{W}-x_{H})^{2}+(y_{W}-y_{H})^{2}}\)

Where:

\(x_{W}\), \(y_{W}\) - Location of the wreck site, measured in miles.

\(x_{H}\), \(y_{H}\) - Location of the hospital, measured in miles.

If the location of the wreck site and the hospital are \((13, -14)\) and \((-42, 7)\), respectively. The distance that helicopter must cover is:

\(d = \sqrt{[13-(-42)]^{2}+[(-14)-13]^{2}}\)

\(d \approx 61.270\,mi\)

The helicopter must cover a straight line distance of approximately 61.270 miles from the hospital to the wreck site.

Answer:

You start with the decimals place since you can't go any further than another whole number.

10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7, 10.8, 10.9 and so on, in the tenths hundredths and thousandths place.

There can be only rational numbers or decimals

For example

Answer:

-1

-3

-5

Step-by-step explanation:

just substitue each value of x into the equation and u will get your answer

Answer:

-1, -3, -5

Step-by-step explanation:

To find why you simply plug in the value they give you for x in the formula.

The formula provided is y=-2x-2

The first x value is -1.

Plug it into the formula.

y=-2(-1)-3

Solve.

y=2-3

y=-1

The first y value is -1.

The second x value is 0.

Plug it into the formula.

y=-2(0) -3

Solve.

y=-3

The second y value is -3

The third x value is 1.

Plug it into the formula,

y=-2(1)-3

Solve.

y=-2-3

y=-5

The third y value is -3.

Answer:

(1.4, 2.5)

Step-by-step explanation:

\(y = x + 1\) ... equ 1

\(y =3x - 2\) ... equ 2

subtract equ 1 from 2, we'll have

\(0 = 2x - 3\)

\(2x = 3\)

\(x= 3/2 = 1.5\)

substitute the value of \(x\) in equ 1, we'll have

\(y = 1.5 +1\)

\(y = 2.5\)

therefore, solution to the system of the equation is (1.5, 2.5)

the closest in your option is (1.4, 2.5)