17 Question Evaluate y=−4(5)x y = − 4 ( 5 ) x for x

Answer:

x = 11/7 y = -1/7

Step-by-step explanation:

2x + y = 3

2x + y - 2y = 3 - 2y

y = 3 - 2x

x - 3(3 - 2x) = 2

x - 9 + 6x = 2

x - 9 + 6x + 9 = 2 + 9

x + 6x = 11

7x = 11

7x / 7 = 11/7

x = 11/7

2(11/7) + y = 3

22/7 + y = 3

22/7 + y - 22/7 = 3 - 22/7

y = -1/7

Answer:

(¹¹⁄₇, -⅐)

Step-by-step explanation:

Given system of equations:

\(\begin{cases}2x+y=3&\\x-3y=2\end{cases}\)

What is the elimination method?

The elimination method is when you rewrite the two equations so that when added together, one of the two variables (x or y) is eliminated.

Step 1: Multiply the first equation by \(3\).

\(\implies (3)2x+(3)y=(3)3\)

\(\implies 6x+3y=9\)

Step 2: Add the above equation to the second equation to eliminate 3y.

\(\begin{array}{r l}6x+3y & = 9\\+\ x-3y&=2\\\cline{1-2}7x&=11 \end{array}\)

Step 3: Solve for x (by dividing both sides by 7).

\(\implies \dfrac{7x}{7}=\dfrac{11}{7}\)

\(\implies \boxed{x=\dfrac{11}{7}}\)

Step 4: Substitute ¹¹⁄₇ as the value of \(x\) in any of the given equations and solve for \(y\).

\(\implies 2\left(\dfrac{11}{7}\right)+y=3\)

\(\implies \dfrac{22}{7}+y=3\)

Step 5: Convert \(3\) into a fraction and subtract ²²⁄₇ from both sides of the equation.

\(\implies \dfrac{22}{7}-\dfrac{22}{7}+y=\dfrac{21}{7}-\dfrac{22}{7}\)

\(\implies \boxed{y=-\dfrac{1}{7}}\)

The solution to the given system of equations is (¹¹⁄₇, -⅐).

Learn more here:

brainly.com/question/27868564

The perimeter of the square whose diagonal is 10 centimeters using the diagonal formula is 28.28 centimeters.

To find the perimeter of a square with a diagonal of 10 centimeters, we need to use the Pythagorean theorem. According to the theorem, the diagonal of a square can be calculated as the square root of twice the square of one of its sides, which is represented by the formula:

diagonal = √(2) × side

where the side is the length of one side of the square.

We know that the diagonal of our square is 10 centimeters, so we can solve for the length of one side by rearranging the formula as follows:

side = diagonal / √(2)

side = 10 / √(2)

side ≈ 7.07 centimeters

Now that we know the length of one side, we can find the perimeter of the square by multiplying the length of one side by 4, which is the number of sides in a square:

perimeter = 4 × side

perimeter ≈ 28.28 centimeters

Therefore, the perimeter of the square with a diagonal of 10 centimeters is approximately 28.28 centimeters.

Learn more about perimeter at

https://brainly.com/question/6465134

#SPJ4

The system of equations with the same solution set as the system of equations given is presented as follows:

The system of equations for this problem is presented as follows:

Another system of equations will have the same solution set as the system given when it's equations are multiples of the equations in this problem.

This holds true for the first option, as:

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

The two's complement-encoded binary representation of -1F16 is 11111111100000112. Adding 1916 to this binary number gives 10000000011110112.

To convert -1F16 to two's complement-encoded binary, we start by representing the absolute value of the number in binary, which is 000111112.

Then we invert the bits, resulting in 1110000012. Finally, we add 1 to the inverted number to get the two's complement-encoded binary representation, which is 1110000012.

To add 1916 to -1F16 in two's complement-encoded binary, we simply perform binary addition.

Starting with the two numbers: 1111111110000011 (representing -1F16) and 0001100100000001 (representing 1916), we add the corresponding bits from right to left.

If there is a carry generated from the addition, it is carried over to the next bit. The final result is 10000000011110112, which is the 8-bit binary representation of the sum.

To know more about two's complement-encoded refer here:

https://brainly.com/question/31946302#

#SPJ11

Answer:

zeroes of the equations are x= 1 , -3      

Step-by-step explanation:

firstly divide both sides by 2 so new equation will be

x^2+2x-3=0

you can use quadratic formula or simply factor it

its factors will be

x^2 +3x - x -3=0

(x+3)(x-1)=0

are two factors

so

either

x+3=0             or          x-1=0

x=-3                 and        x=1  

so zeroes of the equations are x= 1 , -3      

by the way you can also use quadratic formula which is

[-b+-(b^2 -4ac)]/2a

where a is coefficient of x^2 and b is coefficient of x

and c is constant term

Answer:

Step-by-step explanation:

2

D. \( ({ - 8})^{2} - 9 + ( - 7)\) ✅

Step-by-step explanation:

\( {( - 32 \div4 })^{2} - 9 + ( - 7) \\ \\ = ({ - 8})^{2} - 9 +(- 7 )\\ \\=64-9-7\\\\ = 64 - 16 \\ \\ = 48\)

Note:-

\(\sf\red{PEMDAS\: rule.}\)

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\(\sf\red{(+\:x\:-)\:=\:-}\)

\(\sf\red{(-\:x\:-)\:=\:+}\)

\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)

Answer:

Step-by-step explanation:

Density of a diamond = 3.52 g/ml

Mass of a diamond = 15.1 g

Formula used :

Now put all the given values in this formula, we get the volume of a diamond.

Conversion used :

Therefore, the volume of a diamond is,

2 will be the final value of the semaphore.

What is the counting semaphore's initial value?

Initial value of a counting semaphore = 7

totalP() operations performed on the semaphore = 20

totalV() operations performed on the semaphore = 15

Final valoe of semaohore = ?

after 20 P operations performed on the semaphore,

  value of the semaphore =

Initial value of a counting semaphore - total P() operations performed on the semaphore

                  = 7 - 20 = - 13

after 15 V operations performed on the semaphore,

  value of the semaphore =

Value of semaphore after 20P operations performed on the semaphore + total V() operations performed on the semaphore

                          = -13 + 5

                          = 2

Learn more about semaphore

brainly.com/question/13686147

#SPJ4

This means that the two lines are perpendicular to each other.

What is co-ordinate geometry ?

Coordinate geometry is a branch of mathematics that deals with the study of geometry using algebraic principles and techniques, specifically using the Cartesian coordinate system to determine geometric figures' properties, such as distance, midpoint, slope, and equations of lines and curves.

Lines FG and HJ are parallel because they have the same slope. To find the slope of a line, we use the formula:

slope = (change in y) / (change in x)

For line HJ, the slope is:

slope = (4 - (-2)) / (0 - (-4)) = 6 / 4 = 3/2

For line FG, the slope is:

slope = (-2 - 1) / (0 - (-4)) = -3 / 4

Since the slopes of both lines are different, they cannot be the same line. However, we can see that the slopes are negative reciprocals of each other:

3/2 * (-4/3) = -2

Therefore, this means that the two lines are perpendicular to each other.

To find more about co-ordinate geometry visit :

https://brainly.com/question/18269861

#SPJ1

Answer:

7 1/2

Step-by-step explanation:

I have no idea how to solve it I just guessed and got it right lol

Answer:

7 1/2

Step-by-step explanation:

Answer: X = 1/7

Step-by-step explanation:

37x = 9x + 4

subtract 9x to both sides

28x = 4

now divide by 28

x = 4/28

simplified its

x = 1/7

Answer:

28x=4

x=1/7

Step-by-step explanation:

First you would make simplyfiy the expression so that you would have x on one  side, when you do that you will get 28x=4. When simplyfied you will get 1/7.

Answer:

Solution given:

2y+1=17

subtracting both side by 1

2y+1-1=17-1

2y=16

dividing both side by 2

2y/2=16/2

y=8

2 will be the output of the following code snippet.

What is a snippet in coding?

What does a code snippet look like?

The output will be 2 because when two integers are divided in Java, the decimal portion is always truncated.

Learn more about code snippet

brainly.com/question/15003151

#SPJ4

The complete question is -

The following snippet of code would produce what outcome? public static void main(String 2 [] args) { int day = 5; switch (day) { case 1: System.out.println("Monday "); case 2: System.out.println("Tuesday "); case 3: System.out.println("Wednesday "); case 4: System.out.println("Thursday "); case 5: System.out.println("Friday "); case 6: System.out.println("Saturday "); case 7: System.out.println("Sunday "); break; default: System.out.println("Invalid Day "); } } Invalid Day Friday Saturday Sunday Invalid Day Friday Friday Saturday Sunday What will be the output of the following code: int x = 20; int y = 40; if (x > 10) { if (y > 50) { System.out.println("Hello, Friend."); } else { System.out.println("Goodbye, Friend."); } } else { if (y > 50) { System.out.println("Hello, Enemy:"); } else { System.out.println("Goodbye, Enemy."); } } Hello, Friend. Hello, Enemy. Goodbye, Friend. Goodbye, Enemy.

Answer:

$254.66

Step-by-step explanation:

225.45 + 12.55 = 238

7% of 238 = 0.07 × 238 = 16.66

16.66 + 238 = 254.66

Answer:

h = 3

Step-by-step explanation:

Looking at the given image, the height(h) divides the side length of 8 into two equal parts as we see that the height is perpendicular to the side length of 8 m.

Thus, looking at the half triangle of the face where the h is indicated, we can use pythagoras theorem to find h where the hypotenuse is 5 as shown in the diagram since each vertical cross section is an Isosceles triangle. Thus,

h² + (8/2)² = 5²

h² + 4² = 25

h² + 16 = 25

h² = 25 - 16

h² = 9

h = √9

h = 3

Answer:

Step-by-step explanation:

I got 12 so not sure.

3x-3=x+3

2x=6

X=3

So 3x3 =9. +3. =12

The value of the length AB is 8. 66

Trigonometric identities are simply described as equalities that holds true for all the values of the functions in a given equation.

The different trigonometric identities and their ratios are;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the diagram shown, we have;

Opposite = 5. 2

Adjacent = x

Using the tangent identity

tan 31 = 5. 2/x

Cross multiply the values

x = 8. 66

Learn about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Answer:

27

Step-by-step explanation:

Supplementary angles add up to 180 degrees

So to find the measure of an angle supplementary to a given angle, we simply subtract the given angle from 180

The given angle here has a measure of 153 degrees

So the angle's supplement has a measure of 180 - 153 = 27 degrees.

It is important to carefully read and understand the information given in the problem, as well as to apply the appropriate formulas and properties to find the solution

Sure, I'll be happy to help you with your question. In order to find the measure of the missing angle and arc, we first need to know what type of angle and arc we are dealing with. If it is a central angle and arc, then the measure of the angle is equal to the measure of the arc. However, if it is an inscribed angle and arc, then the measure of the angle is half the measure of the arc.

Once we have determined the type of angle and arc, we can use the given information to solve for the missing measure. For example, if we are given the measure of the angle and the measure of the arc, we can use the formula for the measure of a central angle or inscribed angle to solve for the missing measure.

Alternatively, we can also use the properties of circles, such as the fact that the sum of the angles in a triangle is 180 degrees and the fact that the angle at the center of a circle is twice the angle at the circumference, to solve for the missing measure.

In any case, . With enough practice and familiarity with these concepts, you can become proficient at solving problems involving missing angles and arcs.

To learn more about : problem

https://brainly.com/question/31006424

#SPJ11

Answer:

Place compass point on the vertex of the angle (point B).

Stretch the compass to any length that will stay ON the angle.

Swing an arc so the pencil crosses both sides (rays) of the given angle.

Place the compass point on one of these new intersection points on the sides of the angle.

Answer:

the slope is smaller

Step-by-step explanation:

Answer: 22.86

Step-by-step explanation:

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole. As a result, it is correct, as it accurately depicts the data as a whole.

Frequencies are organized into frequency distributions, which are visual displays, to make the information easier to understand. A frequency distribution can display absolute or relative frequencies, such as ratios or percentages. A frequency distribution can be represented by a graph or a frequency table. A frequency distribution can show both the exact number of observations and the proportion of observations that fall within each range. In the latter case, the distribution is referred to as a relative frequency distribution. The frequency of observation is the number of times it appears in the data. For example, the frequency of the number 9 in the following list of numbers is 5. (Because it happens five times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole.

As a result, it is correct, as it accurately depicts the data as a whole.

To know more about frequency distribution visit:

brainly.com/question/14926605

#SPJ 4

Answer:

Comunitive

Step-by-step explanation:

Answer:

The answer is Distributive Property

Step by Step:

Your given equation is 7(w+6)+4

You are distributing 7 to w to get 7w, and 7 to 6, to get 42. The plus 4 stays the same because you don't have anything to distribute.

Addition, is obviously wrong, does 7 + 6 = 42?  Multiplication is wrong. Sure you might be multiplying, but you are distributing to both numbers. And Commutative is DEFINITY wrong, because it has nothing to do with this situation

:D

Therefore , the solution of the given problem of equation comes out to be  9x^3 - 8x^2.

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.

Here,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

3x6+3x1+4x3

Step-by-step explanation:

Answer:

^-----

Step-by-step explanation:

The operation of multiplying two matrices, denoted as [ a1+a​1−a−a​][ 53​2−2​−44​], results in a matrix where each entry is a function of 'a'. The specific entries of the resulting matrix depend on the value of 'a'.

To compute the resulting matrix, we follow the rules of matrix multiplication. Let's break down the steps:

First, we identify the dimensions of the matrices. The first matrix [ a1+a​1−a−a​] is a 2x2 matrix, and the second matrix [ 53​2−2​−44​] is a 2x2 matrix.

We multiply the corresponding elements of the matrices and sum them up. For example, the first entry of the resulting matrix is obtained by multiplying the first row of the first matrix ([a1, a]) with the first column of the second matrix ([5, 3]). This gives us (a1 * 5) + (a * 3), which simplifies to 5a1 + 3a.

Following the same process, we calculate the remaining entries of the resulting matrix. The second entry is (a1 * 2) + (a * -2), the third entry is (-a1 * 4) + (-a * 4), and the fourth entry is (-a1 * 4) + (-a * 4).

The resulting matrix, therefore, has the following entries:

[5a1 + 3a, 2a1 - 2a]

[-4a1 - 4a, -4a1 - 4a]

Each entry in the resulting matrix is a function of 'a', where 'a1' represents the coefficient of 'a' in the first matrix.

Learn more about dimensions here:

https://brainly.com/question/31493788

#SPJ11