what is the slope of the function described by yx? the slope of the function is enter your response here. (enter your response as an integer or a decimal.)

Answer: y = x + 5

[tex]put \: x \: = 12 \\ y = 12 + 5 \\ y = 17 \: anwer...[/tex]

Answer:

y = 17

Step-by-step explanation:

the absolute value function always gives a positive value, that is

| - a | = | a | = a

given

y = | x | + 5 ( substitute x = 12 into the equation )

y = | 12 | + 5 = 12 + 5 = 17

Answer:

[tex]\frac{77}{2}[/tex]

Step-by-step explanation:

[tex]\frac{30}{7} \cdot \frac{13}{2}+\frac{9}{14}=\frac{390}{14}+\frac{9}{14}=\frac{399}{14}=\frac{77}{2}[/tex]

Answer:

255

Step-by-step explanation:

For the ratios to suggest a proportional relationship, they must be equal.

[tex]\frac{17}{8}=\frac{x}{120} \implies x=255[/tex]

Answer:

-3

Step-by-step explanation:

1. Distribute

2. Combine like terms

3. SUBTRACT 10 FROM BOTH SIDES WHAT U DO ON LEFT YOU MUST DO ON RIGHT ( always remember this )

then u get -3

The answer to the question is -3

To find the percentages of U.S. presidents who were lawyers, we can divide the number of presidents by the total number of presidents and then multiply by 100 to get the answer as a percentage.

Given the information, we have:

Number of presidents who were lawyers = 29

Total number of presidents = 42

So, the percentages of presidents who were lawyers is:

(29 / 42) * 100 = 69%

Therefore, 69% of the first 42 U.S. presidents were lawyers.

A percentage is a number or ratio expressed as a fraction of 100. It represents a portion of a whole and is often used to describe parts of a larger quantity in terms of 100. For example, if a student scored 80 out of 100 on a test, their score can be expressed as 80%, which means they answered 80 out of 100 questions correctly. The symbol for percentage is "%". To convert a fraction or decimal to a percentage, it is multiplied by 100.

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Answer: x=-6 y=-8

Step-by-step explanation:

For 1st equation solve for x.

3x-2y=-2

    3x=-2+2y

      x=[tex]\frac{-2+2y}{3}[/tex]

Then plug in the x found in 1st equation into the 2nd equation.

         -7x+6y=-6

-7[tex](\frac{-2+2y}{3})[/tex]+6y=-6

    [tex]\frac{14-14y}{3}[/tex]+6y=-6

  [tex]\frac{14}{3}[/tex] - [tex]\frac{14y}{3}[/tex] +6y=-6

                [tex]\frac{4y}{3}[/tex]=-6-[tex]\frac{14}{3}[/tex]

                [tex]\frac{4y}{3}[/tex]=[tex]\frac{-32}{3}[/tex]

                 4y=-32

                   y=-8

Then plug in the y value found in the 2nd equation into the 1st equation.

x=[tex]\frac{-2+2y}{3}[/tex]

x=[tex]\frac{-2+2(-8)}{3}[/tex]

x=[tex]\frac{-2-16}{3}[/tex]

x=[tex]\frac{-18}{3}[/tex]

x=-6

Answer:

x = -6 and y = -8

Step-by-step explanation:

These two simultaneous linear equations using elimination method:

For this method to be applied, the coefficients of ‘x’ or ‘y’ in the two equations need to be the same with opposite signs.

The coefficients of ‘x’ will be focused on:

          (3x - 2y = -2) Multiplied by 7

          (-7x + 6y = -6) Multiplied by 3

          21x - 14y = -14

         -21x + 18y = -18

In the net total, it can be observed that the two ‘x’ terms will completely cancel each other out:                    
                    4y = -32

                     [tex]y = -\frac{32}{4}[/tex]

                     y = -8

Substitute this value of y in any of the equations to determine the value of x:

     3x - 2(-8) = -2

     3x + 16 = -2

      3x = -2 - 16

      3x = -18

       [tex]= x =- \frac{18}{3}[/tex]

          x = -6

Answer:

B

Step-by-step explanation:

7 ≤ [tex]\frac{z}{28}[/tex] ( multiply both sides by 28 to clear the fraction )

196 ≤ z , then

z ≥ 196

To confirm that the inverse of a square matrix A has been found correctly, it should be verified that AA⁻¹ = I (identity matrix) .

The Inverse of a square matrix A (denoted by A⁻¹) , is a matrix that satisfies the equation AA⁻¹ = AA⁻¹ = I, where I is the identity matrix.

The identity matrix is a square matrix of size n×n with ones on the main diagonal and zeros everywhere else.

If A⁻¹ has been computed correctly, multiplying it by A should result in the identity matrix. That is, AA⁻¹ = I. This confirms that the inverse has been found correctly and that the inverse property holds for the matrix A.

The given question is incomplete , the complete question is

let A be an n×n matrix. if A⁻¹ = (1/detA)×adjA  is computed, what should AA⁻¹ be equal to in order to confirm that  A⁻¹ has been found correctly ?

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The value of x is 16 and the values of given angles are 45,45.

What are parallel lines ?

Parallel lines can be defined as the lines which are equi distant to each other and they never intersect each other.

Given Two angles,

3x - 3 and 2x+13

Here two angles are vertically opposite angles

so we know that vertically opposite angles are always equal.

3x - 3 = 2x + 13

3x - 2x = 13 + 3

x = 16

SO, the value of x = 16

and 3x - 3 = 3*16 - 3 = 48 - 3 = 45

2x + 13 = 2*16 + 13 = 45

Therefore, The value of x is 16 and the values of given angles are 45,45.

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Answer: He bought 16 books

Step-by-step explanation: $133-$5=$128 (taking away shipping)

$128/8=16 (separating non-shipping price into groups of $8 to compensate for the cost of books)

A: 8b+5=133

B: 8b-133=5

b=16

From the table of number digits, 400 unique random numbers need to be selected.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Aeronautical researchers have developed three different processes to pack a parachute.

They want to compare the different processes in terms of time to deploy and reliability.

There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.

That means,

1200/3 = 400.

Therefore, 400 unique numbers.

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The next three terms of the sequence will be 4,10,16.

What is a sequence?

A sequence is a list of numbers (or elements) that exhibits a particular pattern. For example, Olivia has been offered a job with a starting monthly salary of $1000 with an annual increment of $500. Can you calculate her monthly salary in the first three years? It will be $1000, $1500, and $2000. Observe that Olivia's salary over a number of years forms a sequence as they follow a pattern where the numbers are increasing by an amount of $500 every time.

Some of the most common examples of sequence are:

Arithmetic Sequences

A sequence in which every term is created by adding or subtracting a definite number from the preceding number is an arithmetic sequence.

Geometric Sequences

A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Harmonic Sequences

A series of numbers is said to be in harmonic sequence if the reciprocals of all the elements of the sequence form an arithmetic sequence.

Fibonacci Numbers

Fibonacci numbers form an interesting sequence of numbers in which each element is obtained by adding two preceding elements and the sequence starts with 0 and 1. Sequence is defined as, F0 = 0 and F1 = 1 and Fₙ = Fn-1 + Fn-2

Now,

Given first term=-2

difference is =6

Therefore,

               The next three terms of arithmetic sequence will be -2+6,-2+6+6,-2+6+6+6  i.e. 4,10,16.

Hence,

          The next three terms of the sequence will be 4,10,16.

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The equation of the line that has a slope of -7/3, has an x intercept at (-9,0) passes through the point (6,-35) is y = (-7/3)x - 21

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a straight line is:

Ax + By = C

Where A, B and C are constants

The slope intercept form is:

y = mx + b

Where m is the rate of change and b is the y intercept

Given that the line has a slope of -7/3 has an x intercept at (-9,0) passes through the point (6,-35). Using the slope and y intercept:

y - y₁ = m(x - x₁)

y - 0 = (-7/3)(x - (-9))

y = (-7/3)x - 21

The equation of the line is y = (-7/3)x - 21

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When writing a number in expanded form, the value of each digit's sum must be multiplied.

The expanded form of the number 35713 is 30,000+ 5000+700+10+3.

When writing a number in expanded form, the value of each digit's sum must be multiplied. A place value chart can be used to determine the value of a number's digits. In its expanded form, a number is written as a sum, where each digit stands in for a distinct term that has been multiplied by its place value.

When we expand a number to include the values of each digit, we say that the number is written in expanded form. Simply stating the importance of each digit when writing numbers in expanded form is sufficient. Except for zeroes, a number's extended form gets longer as it gets bigger.

The entry for the number 35713 in the place value table. As a result, the number 2 is in the lakhs position, the number 7 is in the ten thousand, the number 9 is in the thousand, the number 4 is in the hundred, the number 0 is in the tens, and the number 4 is finally in the one position.

Last but not least, the enlarged form of 35713 is 30,000+ 5000+ 700+ 10+ 3.

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There are 9 questions on the test.

Let, the number of multiple-choice questions on the test = m

the number of essay questions on the test = s

m + s = 26  .......(1)

So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.

As essays are worth 8 points each, so the total number of points for s questions will be 8s.

3m + 8s = 123 .......(2)

Now we will use the substitution method to solve a system of linear equations.

From equation (1) we will get,

m = 26 -s

Substituting this value in equation (2) we will get,

3 * (26- s) + 8s =123

78 - 3s + 8s = 123

5s = 123 -78

5s = 45

s = 45/5 = 9

So, there are 9 questions on the test.

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The complete question is:

Ada’s history teacher wrote a test for the class.

The test is 26 questions long and is worth 123 points.

Ada wrote two equations, where m represents the

number of multiple choice questions on the test, and

s represents the number of essay questions on the test.

m+s= 26

3m + 8s = 123

How many essay questions are on the test?

Answer:

20

Step-by-step explanation:

[tex]20^{2} = 400[/tex]

[tex]\sqrt{400} = 20[/tex]

Answer: The square root of 400 is 20.

Step-by-step explanation:

The square root of a number is the value that, when multiplied by itself, gives the original number. To find the square root of 400, you can use the long division method or an electronic calculator.

Alternatively, you can approximate the square root of 400 by finding the nearest perfect square (a number whose square root is a whole number). In this case, the perfect squares closest to 400 are 361 and 441. Since the square root of 361 is 19 and the square root of 441 is 21, you can estimate that the square root of 400 is between 19 and 21. Since 20 is halfway between 19 and 21, you can approximate the square root of 400 to be 20.

Answer:

Die verhouding 4:6 kan vereenvoudig word tot 2:3 door beide syfers de deel deur 2 te deel.

Answer:

0.04860

Step-by-step explanation:

10^2=100

4.860/100

There are 2 zeroes, and in division, you move the decimal point left, so you move the decimal point 2 places to the left.

one place to the left: 0.4860

two places to the left: 0.04860

Answer:

n = - 5

Step-by-step explanation:

- 2(8n - 3) = 43(n + 7) ← distribute parenthesis on both sides

- 16n + 6 = 43n + 301 ( subtract 43n from both sides )

- 59n + 6 = 301 ( subtract 6 from both sides )

- 59n = 295 ( divide both sides by - 59 )

n = - 5

Answer:

n=7.14

Step-by-step explanation:

-2(8n-3)=43(n+7)

distribute

-16n+6=43n+301

add 16n on both sides

6=43n-301

add 301 on both sides

307=43n

divide both sides by 43

n=7.1395

The equation to to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons is $28

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

Rent of snowboard= $35

5 hours of group snowboarding lessons. Victor paid $175 in all

Now

Let, x be the Snowy Ridge charges for each hour of group snowboarding lessons;

He rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all, therefore;

175 = 5x + 35

5x = 140

x = $28 per hour

Hence, the solution of equation will be 28.

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Answer: 115°

Step-by-step explanation:

180° - 65°  (angles on a straight line)

= 115° (alternate angle to z)

z = 115°

The given equation represents the current (i (t)) flowing through a wire in milliamps (ma) over time (t) in seconds (s).

(a) To sketch i (t) versus t, the equation i (t) is first rearranged into three separate parts; i (t) = 0 for t < 0, i (t) = 6t for 0 ≤ t ≤ 5s and i (t) = 30e−0.6(t−5) for t ≥ 5s. The graph is then plotted with the origin (0, 0) and the points (0, 0), (5, 30) and (10, 0). A line is then drawn from (0, 0) to (5, 30) and then from (5, 30) to (10, 0). The resulting plot is the graph of i (t) versus t.

(b) To sketch q (t) versus t, the integral of the equation i (t) is taken. The integral of i (t) = 0 for t < 0 is 0. The integral of i (t) = 6t for 0 ≤ t ≤ 5s is q (t) = 3t2 + C. The integral of i (t) = 30e−0.6(t−5) for t ≥ 5s is q (t) = −30e−0.6(t−5) + C. The graph is then plotted with the origin (0, 0) and the points (0, 0), (5, 75) and (10, -30). A line is then drawn from (0, 0) to (5, 75) and then from (5, 75) to (10, -30). The resulting plot is the graph of q (t) versus t.

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Answer: the GCF of (48x^2 - 40x) / (56x) is 8x.

Step-by-step explanation:

To find the greatest common factor (GCF) of the expression (48x^2 - 40x) / (56x), we can use the following steps:

Factor the numerator: 48x^2 - 40x = 8x(6x - 5)

Identify the monomial that divides evenly into both the numerator and denominator: 8x

Divide out this monomial from both the numerator and denominator. This will simplify the fraction to (6x-5)/7

Therefore, the GCF of (48x^2 - 40x) / (56x) is 8x.

The equation of g(x) when the parent function f(x) = 3^x is transformed is g(x) = 3^{x - 4} + 5.

The equation of g(x) when the parent function f(x) = 2^x is transformed is g(x) = 4(2)^{x - 3}.

The equation of g(x) when the parent function f(x) = 4^x is transformed is g(x) = -2(4)^{x + 1} + 3.

By critically observing the graph of the exponential function f(x) = 3^x, we can reasonably and logically deduce that f(x) is vertically translated (k) by 5 units up and horizontally translated (h) by 4 units to the right. Therefore, the equation of g(x) is given by:

g(x) = 3^{x - h} + k

g(x) = 3^{x - 4} + 5.

Based on the graph of the exponential function f(x) = 2^x, we can reasonably and logically deduce that f(x) is compressed by a scale factor (a) of 4 units and horizontally translated (h) by 3 units to the right. Therefore, the equation of g(x) is given by:

g(x) = a(b)^x - h}

g(x) = 4(2)^{x - 3}

Based on the graph of the exponential function f(x) = 4^x, we can reasonably and logically deduce that f(x) is reflected across the x-axis and expanded by a scale factor (a) of 2 units, followed by a translation of 1 units left and 3 units up:

where; a = -2, h = -1, and k = 3.

g(x) = a(b)^x - h} + k

g(x) = -2(4)^{x - (-1)} + 3

g(x) = -2(4)^{x + 1} + 3

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Slope of the given graph function is -3/2 while the y-intercept: (0, 1)

What is slope intercept?

Finding the equation of a straight line in the coordinate plane is done using the slope intercept form. The connection that any point's coordinates on the line must satisfy is the equation of a straight line. Any point that is not on the line will not have coordinates that satisfy. The answer to this equation is simple to determine.

To Find :  equation of the line, in slope-intercept form

Solution:

Standard/ general form of equation of line in 2 variables is

Ax + By + C = 0

Slope intercept form is

y = mx + c

intercept form is

x/a  + y/b   = 1

Slope intercept form is

y = mx + c

m = Slope = -3/2

c = y intercept  =  1  

y  = (-3/2)x  + 1

equation of the line, in slope-intercept form is   y  = (-3/2)x  + 1.

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The length of the side ZY would be 9.

What is a similar triangle?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles and squares of any side length are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and their corresponding sides are in equal proportion.

Given:If Triangle ABC = Triangle XYZ and AB = 15, BC = 9, and XZ =8

As in the given question, they have stated that both triangles are the same.

Then by the property of the similar triangles, their sides are also in equal proportion so

Length of ZY = Length of CB

Length of CB = 9

Length of ZY = 9.

Hence, the length of the side ZY would be 9.

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Some of the signs and symptoms of drug abuse are: sudden weight loss, secretive behavior, depression and anxiety, low performance at work, etc.

Drug addiction, also known as substance use disorder, is a condition that affects the behavior and brain of a person, resulting in the inability to manage the use of a legal or illegal drug or medicine.

Substance addiction can begin with the trial use of a recreational drug in social contexts, and for some people, the drug usage progresses to more frequent use. People, particularly those addicted to opioids, become addicted to drugs when they consume prescribed medications.

Signs and symptoms of drug abuse includes:

There are typos in your question, most likely it was:

List the sign and symptoms of drug use and abuse based from the interview, list them according to the change they cause in a person.

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If 5 points are added to every score in the population, then new values for  mean  is 35 and standard deviation is 10 .

If 5 points are added to every score in the population, the mean (µ) of the population will increase by 5 and the standard deviation (σ) will remain unchanged.

The new mean (µ') will be:

⇒ µ' = µ + 5 = 30 + 5 = 35

The new standard deviation (σ') will be:

⇒ σ' = σ = 10

Therefore , after adding 5 points to every score, the mean will be 35 and the standard deviation will remain 10.

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The possible values of each of the expressions are;

1) 10 ≤ a + b ≤ 14

2) -4 ≤ a - b ≤ 1

3) 24 ≤ ab ≤ 48

4) 3/8 ≤ a/b ≤ 1

The range of a function is defined as the set of all possible output values for which the domain works.

The intervals of the domain we have are;

3 < a < 7

5 < b < 9

1) Maximum value of a + b = Maximum + maximum of b

(a + b)max = 6 + 8 = 14

(a + b)min = 4 + 6 = 10

Interval of a + b is;

10 ≤ a + b ≤ 14

2) Maximum value of a - b = Maximum  of a - minimum of b

(a - b)max = 6 - 5 = 1

Minimum value of a - b = Minimum  of a - maximum of b

(a - b)min = 4 - 8 = -4

Interval of a - b is;

-4 ≤ a - b ≤ 1

3) Maximum value of ab = 6 * 8 = 48

Minimum value of ab = 4 * 6 = 24

interval of ab is;

24 ≤ ab ≤ 48

4) Maximum value of a/b = 6/6 = 1

Minimum value of a/b = 3/8

interval of ab is;

3/8 ≤ a/b ≤ 1

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