What is the value of x in the system of equations below?
3x +y+2z=-10
x+5y+2z=-12
-2x+3y=-1

Slack of a3 is 6 weeks.

Slack variables are variables that are introduced to an inequality constraint in an optimization problem to change it into an equality. An inequality constraint is replaced by an equality requirement and a non-negativity constraint on the slack variable when a slack variable is introduced. In particular, slack variables are employed in linear programming. The slack variable, like the other variables in the augmented constraints, can only have positive or zero values because of the simplex method. A constraint is binding at a certain candidate solution if its associated slack variable is zero because it limits the modifications that can occur after that.

There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.

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(There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.)

Answer:

c=836

Step-by-step explanation:

=, c=430+ 406

c=836

Answer:

2946

Step-by-step explanation:

I don't know and iam not sure in that

Answer:

1. NO

2. YES

3. YES

4. YES

Step-by-step explanation:

Plot these on a number line to see visually.

Answer:

1. No

2. Yes

3. Yes

4. Yes

Step-by-step explanation:

Given inequality :

x  ≥ -4.1

1.

[tex]\ -5\Large \ \ \text{\bf{(NO)}}[/tex]

Reason:  5 > 4.1 ⇒ -5 < -4.1

2.

[tex]\ -4.1\Large \ \ \text{\bf{(Yes)}}[/tex]

Reason :  -4.1 = -4.1 ⇒ -4.1 ≥ -4.1

3.

[tex]\ 8\Large \ \ \text{\bf{(Yes)}}[/tex]

Reason :  8 is positive and -4.1 is negative  ⇒ 8 ≥ -4.1

4.

[tex]\ 0\Large \ \ \text{\bf{(Yes)}}[/tex]

Reason :   -4.1 is negative and 0 is greater than any negative number ⇒ 0 ≥ -4.1

The equation of the line is (y + x = 0).

The slope of a line indicates its steepness in addition to its direction.

m = Δy/Δx

where, m is the slope

And, tan θ = Δy/Δx

The above tan is also known as the line's slope.

The slope of a line can also be calculated just using two straight line points. The slope of line formula could then be used with two point coordinates.

Now, in response to the question;

P₁ = (x₁, y₁)

P₂ = (x₂, y₂)

Then slope will be;

Slope = m = tan θ = (y₂ - y₁)/(x₂ - x₁)

Consider the values given in the question;

(x₁, y₁) = (-1,-3) and,

(x₂, y₂) = (1,-5).

Put the values in the formula of the slope;

Slope = m = (-5 + 3)/(1 + 1)

m = -2/2

m = -1

Thus, the slope of the line is -4.

Now, the formula for finding the equation of line using the two points system.

(y - y₁) = m(x - x₁)

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

y + 3 = -x - 1

y + x + 4 = 0.

Therefore, the equation of the line using two point system is calculated as (y + x = 0).

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Let's see a few examples to understand the statement given in the question.

Example 1:

Find the sum of 75.5 + (58.231 + 24.5)

Hence , the sum of 75.2+(57.376+24.8) is 158.231.

75.5 + (58.231 + 24.5)

= 75.5 + (24.5 + 58.231) (using the commutative property of addition)

= (75.5 + 24.5) + 58.231 (using the associative property of addition)

= 100 + 58.231 (by looking at the first two numbers, it is easier to say that the sum is 100.)

= 158.231 (you can write this answer directly without doing any calculation)

Therefore, the sum of 75.2+(57.376+24.8) is 158.231.

Example 2:

Find the product of (25 × 2) × 50

Hence , the product is 2500 .

(25 × 2) × 50

= 25 × (2 × 50) (using the associate property of multiplication)

= 25 × 100

= 2500 ( we can simply add to zeros at the end if an integer number is multiplied by 100.)

Therefore, the product of (25 × 2) × 50 is 2500.

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Answer:

50%

Step-by-step explanation:

theres always a 50% chance of getting either a head or a tail

The solution to the linear equation according to the task content as given is; 6.

It follows from the task content, it follows that the solution to the linear equation given is required.

Given;

x/3 - 7 = -5

Add 7 to both sides of the equation;

x/3 = -5 + 7

x/3 = 2

Multiply both sides by 3;

x = 2×3

x = 6.

Ultimately, the solution of the linear equation as given in the task content is; 6.

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The slope of the line represented by the equation -5x + 2y = 10 is slope = -5/2 and y intercept= -5

In order to answer the question, we must first simplify the given linear equation so that it may be expressed as a regular linear equation with slope and intercept. A linear equation's slope intercept form is y=mx+b , where "m" denotes the line's slope and "b" its y-intercept. The value of y = 0 must then be entered for the x-intercept, and the value of "x" must then be determined. We will obtain all necessary values in this manner.

By slope-intercept form equation of the line:

y=mx+b

The advantage of the equation in this form is that m and b can be derived 'easily'

Rearrange -5x-2y = 10 in this form.

-2y=5x+10

y=-5/2x+-10/2

y=-5/2x-5

slope = -5/2

y intercept= -5

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Answer:

in 11 1 is greater in 12 they are equal

Step-by-step explanation:

[tex] \large \bf \implies{25 {h}^{ - 2}} \\ [/tex]

[tex] \bf \longrightarrow \bigg( \frac{h}{5} \bigg)^{ - 2} \\ \\ \bf \longrightarrow \bigg(\frac{5}{h} \bigg)^{2} \\ \\ \bf \longrightarrow \frac{ {5}^{2} }{ {h}^{2} } \\ \\ \bf \longrightarrow \frac{25}{ {h}^{2} } \\ \\ \bf \longrightarrow25 {h}^{ - 2} [/tex]

Note :- We have using the negative exponent rule :

[tex] \large \mapsto \bf \boxed{ \bf \red{{a}^{ - n} = \frac{1}{ {a}^{n} } }}[/tex]

Answer:

A.

Step-by-step explanation:

Due to the absolute value markers on either side of the equation, there will be no negative numbers that will equal f(x). Therefore, the range cannot equal all real numbers, only all positive real numbers.

According to the given data the non - degenerated closed interval in r is calculated as [tex]\int\limits^t_s[/tex]f(t) - f(s).

Any set that only contains one real number is known as a degenerate interval (i.e., an interval of the form [a,a]).  an interval is measured in terms of numbers. An interval is any integer that falls between two specific numbers. This range encompasses all real numbers between those two. Real numbers can be any number anyone can think of. A degenerate interval is any set that contains only one real number (i.e., an interval of the form [a, a]). The empty set is included in this definition by some authors. A suitable interval is one that is either empty or degenerate and has an infinite number of elements.

f(x[tex]_r[/tex]) - f(x[tex]_r[/tex]₋₁)  = F' (e[tex]_r[/tex])(x[tex]_r[/tex] - x[tex]_r[/tex]₋₁)

By summating the equation it becomes.

f(t) - f(s) [tex]\int\limits^t_s[/tex] f < = f(t) - f(s) --------->

[tex]\int\limits^t_s[/tex] ts < = f(t) - f(s)  ------------->2

From 1 and 2

[tex]\int\limits^t_-s < ={f(t) - f(s) < = \int\limits^t_d {f}[/tex]

So, it finally becomes

[tex]\int\limits^t_s[/tex]f < = f(t) - f(s)

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Answer:

It's 25

Step-by-step explanation:

ooposite angle of 40 is the one between 2x and the 90 degree angle.

if that is 40 and another angle is 90, then

2x + 40 + 90 = 180

2x = 180 - 130

2x = 50

50/2 = x

x = 25

Answer:

first one x = 11

Step-by-step explanation:

3x - 5 = 2x + 6

3x - 2x - 5 = 6

x - 5 = 6

x = 6 + 5

x = 11

Answer:

4 hous and 29 minutes

Step-by-step explanation:

Answer:

3/5 is longer than 4/7

Step-by-step explanation:

Answer:

$7.81 (nearest cent)

Step-by-step explanation:

Simple Interest Formula

[tex]\boxed{\sf I = Prt}[/tex]

where:

Given values:

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=625 \cdot 0.025 \cdot 0.5[/tex]

[tex]\implies \sf I=15.625 \cdot 0.5[/tex]

[tex]\implies \sf I=7.8125[/tex]

Therefore, the interest that Carla will earn at the end of 6 months is $7.81 (nearest cent).

Answer:

$7.81 (nearest cent)

Step-by-step explanation:

Use the simple interest formula

The error in the subtraction process is that 0.1 is not added to the 0 in the hundredth place of the term 3.5, so as to enable 0.06 to be subtracted from it.

The correct equation is as follows;

3.5 - 2.46 = 1.04

The given equation that has an error is presented as follows;

3.5 - 2.46 = 1.16

The description of the error in the above equation is that during subtraction, the 0.06 value on the right of the subtraction mark is not subtracted from the zero to the right of .5, and carried down.

The correct process for the subtraction is presented as follows;

3.5¹0

- 2.46

1.04

Therefore;

3.5 - 2.46 = 1.04

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The correct option is C. (0, 1, 2); function. The domain of the function is (0, 1, 2).

For the given question;

The relation is;

(x, y) =  {(0, 0), (1, 1), (2, 0)}

Take out the values for x.

x = {0, 1, 2}

The above set indicates that the x-values begin at 0 and end at 2.

As a result, the domain is {0, 1, 2}.

To be a function, all of the relation's y-values must refer to different x-values.

Since all y-values possess unique x values, we can say that the provided relation is a function.

Therefore, the given relation defines a function with domain of {0, 1, 2}.

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The correct question is-

Find the domain of the relation ((0, 0), (1, 1), (2, 0)). Then determine whether the relation is a function;

A. (0, 1, 0); function

B. (0, 1, 0); not a function

C. (0, 1, 2); function

D. (0, 1, 2); not a function

Answer:

x = 35°
Q = 87°
P = 58°
R = 35°

Step-by-step explanation:

[tex]x+52+2x-12+x=180[/tex]

[tex]4x+40=180[/tex]

[tex]4x=180-40[/tex]

[tex]x=\frac{140}{4} =35[/tex]

Angle R = 35°
Angle Q = 35 +52 = 87°
Angle P = 2(35) - 12 = 70 -12 = 58°

Hope this helps

Answer:

29 mph

Step-by-step explanation:

divide 145 miles by 5 hours to calculate your miles per hour. 145 / 5 = 29!

Answer: 58 mph

Step-by-step explanation: Since its a round trip multiply 145 by 2.

290

Divide 290/5= 58

58 miles per hour

Answer:

Reciprocal means put 1/x

Step-by-step explanation:

It will 1/12.5=0.08

Answer:

Nickels x = 11 and pennies y = 9

Step-by-step explanation:

Answer:

It would be 5 spots to the left of 0 on the number line.

Step-by-step explanation:

The graphs of the function is attached below.

The transformation used by the is function is that the function is stretched and a vertical shift of 3 units downwards.

The given graph is y = 2 x³ - 3

To understand the transformation we have to find the parent function.

For this graph the parent function is given by:

y = x³

So let us transform the graph to y=2x³  , the graph is stretched 2 times.

Now let us use the final function y = 2 x³ - 3 , here the graph is vertically shifted downwards.

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When x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable. This is true

It should be noted that confounding variables are variables which affect other variables in such a way that it produces distorted associations between two variables. It should be noted that they confound the "true" relationship between two variables.

In this case, a causal relationship between two variables is often described as the way in which the independent variable affects the dependent variable.

Therefore, the information illustrated is true.

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Simple Random ford wants to administer a satisfaction survey to its current customers. using their customer​ database, the company randomly selects customers and asks them about their level of satisfaction with the company.

What is an example of a basic random sample?

Is a straightforward random sample representative?

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