consider the system of equations x1 + 2x2 − x3 = 2 , x1 + x2 −x3 = 1 express the solutions in terms of inverse of the coefficient matrix.

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

The graph passes through the point (0, 2), which is the y-intercept, and it increases rapidly as x increases, since the base is 3. As such, the graph of the given function is exponential with a base of 3 and a coefficient of 2.

The given function is f(x)=2(3)x, which can be written as f(x)=2(3)x . In this function, the base is 3, and the coefficient is 2. To graph this function, we can use a table of values to plot the points and connect them with a smooth curve.

First, we will choose a few values for x and find their corresponding values for y using the function. Let's choose x values of -1, 0, and 1, and find the corresponding y values. We get:

f(-1)=2(3)-1=2/3
f(0)=2(3)0=2
f(1)=2(3)1=6

Therefore, the table of values for the given function f(x) is as follows:

x f(x)
-1 2/3
0 2
1 6

Now, we can plot these points on a graph with the x values on the horizontal axis and the y values on the vertical axis. The points are (-1, 2/3), (0, 2), and (1, 6). We can then connect these points with a smooth curve to get the graph of f(x)=2(3)x as shown in option A.

The graph passes through the point (0, 2), which is the y-intercept, and it increases rapidly as x increases, since the base is 3. As such, the graph of the given function is exponential with a base of 3 and a coefficient of 2.

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Answer:

x = 0.2

Step-by-step explanation:

-7.8x = -1.56

-1.56/-7.8 = 0.2

x = 0.2

Answer:

\(x =\frac{1}{5}\) or \(0.2\) (they're the same)

Step-by-step explanation:

Answer:

Its A.) hope this helps!

Answer:

24

Step-by-step explanation:

0.6 x 24 = 14.4

14.4 - 5 = 9.4

0.1 x 24 = 2.4

2.4 + 7 = 9.4

The response variable in this study is the exam performance of the students.

The response variable is the main outcome measure of interest in a study. In this case, the researcher is interested in testing the effect of light level on the exam performance of students, which is the response variable. The researcher is also concerned about the potential differences in the effect of light levels between men and women, so wants to ensure that both groups are equally represented in each treatment.

By measuring the exam performance of the students under different lighting conditions, the researcher can determine whether light levels have a significant impact on exam performance and whether this effect differs between men and women.

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Answer:

c

Step-by-step explanation:

According to BODMAS rule...

We would first solve...

Bracket i.e.(4+7)

Answer:

I think a is 9 cause 9+ 8 is 17 ??

The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.

If we make the sum of each side diagonally then the sum should be 48.

So,

D+ 16 + 17 = 48

D = 15

And

15 + B + 8 = 48

B = 25

And,

25 + 16 + C = 48

C = 7

And,

8 + A + 17 = 48

A = 23

And,

15 + E + 24 = 48

E = 9

Hence "The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively".

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Answer:

$18

Step-by-step explanation:

1 pound of raisins = $2

1 pound of almonds = $5

Let the number of raisins be represented by a

Let the number of almonds be represented by b

We are told in the question that:

Six pounds of a trail mix contains 2 more pounds of raisins than almonds.

a + b = 6 pounds

Hence, Almonds = 2 pounds

Raisins = 4 pounds

The cost of the 6 pounds of trail mix

= 4 × $2 + 2 × $5

=$8 + $10

= $18

The computation of the power shows that Natasha was right as the value gotten is 295hp.

From the information given, t is given as 5.825 to the cube root of w/p.

In this case, the value of p will be:

p = w/t³(5.823)³

p = 3590(5.823)³ / (13.4)³

p = 708828.13/2406.104

p = 295hp

In conclusion, Natasha was correct.

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34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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Answer:

Need more points lang sorry

Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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Answer:

C

Step-by-step explanation:

Because if you do the multiplication then you would know that it was c

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

Inverse = if a number is not a natural number the it also not a whole number.

False

Converse = If a number is a whole number then it is also a natural number

False

Contrapositive = If a number is not a whole number then it is also not a natural number

True.

Bi conditional = number is a natural number if and only of it is a whole number.

False.

Answer:

{2, 6, 14}

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

To get the range, we will substitute the values of the domain into the given function as shown;

when x = -1

f(-1) = 4(-1)+6

f(-1) = -4+6

f(-1) = 2

when x = 0

f(0) = 4(0)+6

f(0) = 0+6

f(0) = 6

when x = 2

f(2) = 4(2)+6

f(2) = 8+6

f(2) = 14

Hence the required range are {2, 6, 14}

Answer:

200

Step-by-step explanation:

You can use the equation 1300=4x+500

Starting bonus ($500) is like the y intercept so you would get that out of the way by subtracting 500 from both side

1300-500=800

500-500=0

Your equation is now:

800=4x

Now since the question is How many subscriptions did they sell and we know that each magazine is $4 all for have to do is divide both sides by 4 to get the answer.

800÷4=200

4x÷4=x

x=200

Answer:

Step-by-step explanation:

You want to know the side lengths of the triangles shown if DE = 8.

Side DE is marked as x+6. If its length is 8, then we have ...

  x +6 = 8

  x = 2 . . . . . subtract 6

The unknown side lengths are then ...

  PQ = x+1 = 3

  QR = x+3 = 5

  EF = x+8 = 10

__

Additional comment

These are both 3:4:5 right triangles. The larger is twice the size of the smaller. You can guess this because a 3:4:5 right triangle is the only one with a side length of 4 and integer lengths for the other sides.

Answer:

y=3/x^3

Step-by-step explanation:

y = k / x^3

24 = k / 1/2^3

Cross Multiply:

24 × 1/2^3 = k

3 = k

Since k is 3, then:

y=3/x^3

Answer:

y = \(\frac{3}{x^3}\)

Step-by-step explanation:

Given y is inversely proportional to x³ then the equation relating them is

y = \(\frac{k}{x^3}\) ← k is constant of proportion

To find k use the condition when x = \(\frac{1}{2}\) , y = 24

24 = \(\frac{k}{(\frac{1}{2}) ^{3} }\) = \(\frac{k}{\frac{1}{8} }\) = 8k ( divide both sides by 8 )

3 = k

y = \(\frac{3}{x^3}\) ← equation of proportion

Answer:

The balance of  the odds must be for spins of different colours. Therefore, 81/81 - 29/81, the odds of getting two different colours.

Answer:

24

Step-by-step explanation:

-8 x -3 = 24

24/-3 = -8

Answer:

.375

Step-by-step explanation:

To find this answer you need to divide by a positive if you do a  whole number you get to small of a number. it must be a number smaller than one so the answer is .375

Answer:

{4 |8}. 96. 24

sin4B{3. |9}= ___. = ___ = cos2A

{10|10} 100. 25

{9 |9}

(−∞,−3) (2,+∞)

Explanation:

graph the parabola

y=−x2−x+6

and consider which parts are less than zero, that is below the x-axis finding the x and y intercepts

let x = 0, in the equation for y-intercept

let y = 0, in the equation for x-intercepts

x=0→ y=6←

y-intercept

y=0→ −x2−x+6=0

multiply through by - 1

⇒ x2+x−6=0

the factors which multiply to give - 6 and sum to + 1 are + 3 and - 2

⇒(x+3)(x−2)=0

⇒x=−3 or x=2←

x-intercepts

obtaining the shape of the parabola

if a>0

then minimum if a < 0

then maximum for y =−x2−x+6xa<0

we can now graph the parabola

graph{-x^2-x+6 [-10, 10, -5, 5]}

x<−3 or x>2

are the parts below the x-axis

in interval notation

(−∞,−3)∪(2,+∞)

Answer:

\frac{v^{16}u^{o-5}}{t}

Step-by-step explanation:

The construction to determine the incenter of a triangle involves drawing the perpendicular bisectors of any two sides of the triangle, finding their intersection point, drawing the bisectors of any two angles of the triangle, finding their intersection point, and drawing perpendiculars from the incenter to each side of the triangle.

The incenter of a triangle is the point where the angle bisectors of each angle of the triangle intersect. It is the center of the circle that is tangent to each side of the triangle. The construction to determine the incenter of a triangle involves several steps.

First, draw any triangle ABC. Then, take any two sides of the triangle, say AB and AC, and draw their perpendicular bisectors. The perpendicular bisector of a line segment is a line that intersects the segment at its midpoint and is perpendicular to it.

Let the perpendicular bisectors of AB and AC intersect at point O. Point O is the circumcenter of triangle ABC, which is the center of the circle that passes through the three vertices of the triangle.

Next, take any two angles of the triangle, say ∠BAC and ∠ABC, and draw their bisectors. The bisector of an angle is a line that divides the angle into two equal parts.

Let the bisectors of ∠BAC and ∠ABC intersect at point I. Point I is the incenter of triangle ABC, which is the center of the circle that is tangent to each side of the triangle.

Finally, draw a line segment from point I to each side of the triangle. Each of these line segments will be perpendicular to its corresponding side of the triangle. The point where all three perpendicular lines intersect is the incenter of the triangle.

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