Solve the system by using matrices.
X = 4
X + y = -6
4x - 3y + 2z = 26

Answer:

The equation is following the mathematical rule of multiplying exponents.

Step-by-step explanation:

As an example to back up the answer, when you have half of a dollar, that is $0.50, if you took a half (1/2) of $0.50 that would be one fourth (1/4) of a dollar, but half of 50 cents ($0.50) A similar thing is happening with this problem. When you have two numbers (2 and 4) when you multiply them together, they equal to eight (8) for this problem, when you multiply two exponents together, you are raising the coefficient (a real number like 6) to the power of 2, and then taking that number and multiplying it by the power of 4. This is similar to the half of 50 cents, is equal to 1/4 of dollar  ($0.25)

Hope this helps explain multiplying exponents together, and the mathematical rule behind it.

y > x - 3

y > x - 1

The above system of inequalities was given from the question

Firstly, we will need to graph the system of inequalities

y > x - 3

Change the inequality sign to equality sign

The equation becomes

y = x - 3

To find y, let x = 0

y = 0 - 3

y = -3

To find x, let y = 0

0 = x - 3

Make x the subject of the formula

0 + 3 = x

x = 3

For the system of inequality, y > x - 3

The points is (3, -3)

For the second system of inequality

y > x - 1

Change the inequality ss

6x+2y=-10

move 6x to the other side

2y=-10-6x

divide 2 on both sides

y = -3x - 5

Answer:

900+ hours

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The answer is B, because if X is 1 and you multiply x by 5 you get 5. But after multiplying that you have to add 9. 9+5=14 so therefore the answer is B.

a) Union of the given relations R1 and R2, R1 U R2 is {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4)}.

Given, R1 = {(1, 2), (2, 3), (3, 4)}R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4)}To find the union of two sets, we have to take all the elements in both the sets. The union of two sets A and B is the set of elements, which are in A or in B or in both. Therefore, R1 U R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4)}.b) Intersection of the given relations R1 and R2. The intersection of R1 and R2 is {(1, 2), (2, 3)}

The intersection of two sets A and B is the set of elements which are in A and B both. Therefore, R1 ∩ R2 = {(1, 2), (2, 3)}.c) Difference of the given relation R2 from R1. R2 - R1 is {(1, 1), (2, 1), (2, 2), (3, 1), (3, 2), (3, 3)}.In this case, we need to subtract the set R1 from set R2, that is R2 - R1. Therefore, R2 - R1 = {(1, 1), (2, 1), (2, 2), (3, 1), (3, 2), (3, 3)}.d) Difference of the given relation R1 from R2. R1 - R2 is full explanation:In this case, we need to subtract the set R2 from set R1, that is R1 - R2. Therefore, R1 - R2 is null since R2 has some elements which are not in R1. Hence the main answer is null.

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Answer:

A. Infinitely many solutions

Step-by-step explanation:

x − 2y = 5   | × (- 2)

2x − 4y = 10

- 2x + 4y = - 10

2x - 4y = 10

----------------------- +

- 2x + 2x + 4y - 4y = - 10 + 10

0 = 0

A. Infinitely many solutions

The corresponding element in the range when 6 is an element in the domain is f(6) = -4.

Given function f(x) = 8–2x.

6 is an element in the domain of this function.

To find the corresponding element in the range of the function,

Substitute x = 6 in the given function f(x).

So,

f(6) = 8 - 2(6)

f(6) = 8 -12

f(6) = -4

Hence, the corresponding element in the range when 6 is an element in the domain is -4.

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If your nominal wage rises more slowly than the price level, we can say your real wage has Risen and the purchasing power of a dollar has fallen.

The real wage refers to the purchasing power of wages and is calculated by adjusting nominal wages for changes in the price level. If nominal wages rise more slowly than the price level, then the real wage will decrease because workers will not be able to afford as much with their income. For example, if a worker earns $20 per hour and inflation increases the price level by 5%, but their wage only increases by 2%, their real wage has decreased by 3%.

On the other hand, the purchasing power of a dollar refers to how much goods and services a dollar can buy. If the price level is rising faster than nominal wages, then the purchasing power of a dollar will decrease because goods and services will become more expensive. In other words, a dollar will be able to purchase less than it could before. This means that the purchasing power of a dollar has fallen in this scenario.

Overall, if nominal wages rise more slowly than the price level, then workers' real wages will have decreased and the purchasing power of a dollar will have fallen.

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The relationship between the lines AC and BC is that they will be equal since the point C is a point on the perpendicular bisector of the line AB.

A perpendicular bisector is a line or segment that cuts another line segment into two equal parts at a right angle.

For the line AB, the perpendicular bisector intersects segment AB at the point C which is picked. Since C lies on the perpendicular bisector of segment AB, it means that C is the midpoint of segment AB. AC and BC will have equal distances from point C to the endpoints of segment AB.

Therefore, the relationship between AC and BC is that they are equal in length, that is AC = BC since the point C is a point on the perpendicular bisector of the line AB.

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The defining characteristic of a representative sample is that it is selected in such a way as to assure that it accurately represents the larger population from which it is drawn.

In other words, a representative sample should possess similar characteristics, proportions, and attributes as the population it is intended to represent.

To achieve representativeness, the sample selection process should be carefully designed to minimize biases and ensure that every member of the population has an equal chance of being included in the sample. This typically involves using random sampling techniques, such as simple random sampling or stratified sampling, to eliminate any systematic patterns or favoritism in the selection process.

By obtaining a representative sample, researchers can make valid inferences and generalizations about the population based on the characteristics and findings observed in the sample. It allows them to draw conclusions that can be applied to the larger population with a certain degree of confidence.

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Explanation:

The left and right edges of the box represent Q1 and Q3 respectively

Q1 = first quartile

Q3 = third quartile

The boxplot shows Q3 = 54

The span from Q3 to the max represents exactly 25% of the population.

Take 25% of the 23 employees

0.25*23 = 5.75

Rounding to the nearest whole number leads to 6.

Ecuaciones

Llamemos x al primer número del camión y y al segundo número.

Tenemos que su suma es 11, así que:

x+y=11

También sabemos que su producto es 24:

xy=24

De esta forma, tenemos un sistema de ecuaciones. Vamos a despejar la x de la primera ecuación:

x=11-y

Y la reemplazamos en la segunda:

(11-y)y=24

Operamos y ordenamos el poninomio para formar la ecuación cuadrática:

Para hallar las soluciones de esta ecuación, tomemos los coeficientes de la ecuación de segundo grado:

a=1, b=-11, c=24

Y aplicamos la fórmula resolvente

Tenemos dos posibles respuetas:

y=16/2=8

y=6/2=3

Sustituimos ambas respuestas para hallar x:

x=11-y

x=11-8=3

x=11-3=8

En cualquier orden que los tomemos, los números del camón eran 3 y 8

The expression \((3xy^{-3})^{-2}\) without negative exponents is  \(\frac{y^6}{9x^2}\).

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression in exponents \((3xy^{-3})^{-2}\).

Now, Changing the place of exponents from the numerator to the denominator or vice versa changes its sign.

Therefore, \((3xy^{-3})^{-2} = 3^{-2}x^{-2}y^{6}\).

\(3^{-2}x^{-2}y^{6} = \frac{y^6}{3^2x^2}\).

\(\frac{y^6}{3^2x^2} = \frac{y^6}{9x^2}\).

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Answer: 9 1/3%

Step-by-step explanation:

Answer:

Your answer would be that 47% of students voted for blue.

Step-by-step explanation:

I think its Domain: -2,-1,3,-5,-8

Range:5,-2,5,-2,-2

Answer:

3 whole 1/3

So to convert mixed to improper, you multiply the denominator with the whole number and then add your answer to THAT to the numerator

Like 3(d) x 3(w)=9

9(ans) + 1(n)= 10

So 10 is your answer and since the denominator always stays the same.it'll remain three and your final answer will be:

10/3

The given vectors are linearly dependent for h = 90 or h = -2, and they are linearly independent for all other values of h. The correct answer is A.

The given vectors are linearly dependent if and only if there exist constants c1, c2, c3, and c4, not all zero, such that

c1[-1 4 6] + c2[5 2 -3] + c3[6 2 6] + c4[-24 -8 h] = [0 0 0]

This can be written as a system of linear equations:

c1 + 5c2 + 6c3 - 24c4 = 0

4c1 + 2c2 + 2c3 - 8c4 = 0

6c1 - 3c2 + 6c3 + hc4 = 0

To determine for what values of h the vectors are linearly dependent, we can use row reduction to put the augmented matrix of this system in row echelon form:

[ -1 5 6 -24 | 0 ]

[ 4 2 2 -8 | 0 ]

[ 6 -3 6 h | 0 ]

Adding row 1 to row 2, and subtracting 2 times row 1 from row 3, we get:

[ -1 5 6 -24 | 0 ]

[ 0 7 8 -40 | 0 ]

[ 0 -13 -6 h+48 | 0 ]

Adding 13 times row 2 to row 3, we get:

[ -1 5 6 -24 | 0 ]

[ 0 7 8 -40 | 0 ]

[ 0 0 90-h 88 | 0 ]

So, the vectors are linearly dependent if and only if the last row of the row echelon form is not of the form [0 0 0 0]. This occurs when h = 90 or h = -2. The correct answer is A.

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Answer:

increase in thermal energy

Step-by-step explanation:

because if you increase the thermal/heat energy ten the solid will turn into liquid and same goes for liquid to solid evaporation for example the heat from the sun will make the water turn into clouds or gas

Answer:

x = 4   ±9i

Step-by-step explanation:

x^2 - 8x + 97 = 0

Complete the square by subtracting 97 from each side

x^2 - 8x =- 97

Take the coefficient of x

-8 and divide by 2

-8/2 = -4

Then square it

(-4)^2 = 16

Add it to each side

x^2 - 8x + 16 = -97+16

(x-4)^2 = -81

Take the square root of each side

x-4 = ±sqrt(-81)

x-4 = ±9i

Add 4 to each side

x = 4   ±9i

Answer:

C. x= 4 + 9i or x = 4 - 9i

Step-by-step explanation:

\(x^2 - 8x + 97 = 0\)

Use the quadratic formula.

\(\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Substitute a = 1, b = -8, and c = 97.

\(\frac{-\left(-8\right)\pm\sqrt{\left(-8\right)^2-4\times 1\times 97}}{2\times 1}\)

Evaluate.

\(\frac{8\pm\sqrt{324}i}{2\times 1}\)

\(\frac{8\pm18i}{2}\)

\(4\pm9i\)

Answer:

h = 40w

Step-by-step explanation:

40 per week

hours = 40 x amount of weeks

h = 40w

Answer:

c part is the answer of this question

im like 99% sure the answer is b

Answer:

4

Step-by-step explanation:

2 p= x, 5 p= y, total = £1.81= 181 p

-------------

27-23=4 more 5 p coins

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

what is the question?

Step-by-step explanation: