Which graph represents the solution set for the inequality StartFraction one-half EndFraction x is less than or equal to 18.x ≤ 18?

Answer:

5y2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

x = -3

y = -2

z = 6

or

(-3, -2, 6)

Step-by-step explanation:

So first, lets construct our matrix:

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\2&1&1&-2\\1&-1&3&17\end{array}\right][/tex]

Now lets get it into reduced row echelon form. R₂ ⇒ -2R₁ + R₂

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&-5&7&52\\1&-1&3&17\end{array}\right][/tex]

R₃ ⇒ -R₁ + R₃

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&-5&7&52\\0&-4&6&44\end{array}\right][/tex]

R₂ ⇒ -1/5R₂

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&-\frac{7}{5}&-\frac{52}{5}\\0&-4&6&44\end{array}\right][/tex]

R₃ ⇒ 4R₂ + R₃

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&-\frac{7}{5}&-\frac{52}{5}\\0&0&\frac{2}{5}&\frac{12}{5}\end{array}\right][/tex]

R₃ ⇒ 5/2R₃

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&-\frac{7}{5}&-\frac{52}{5}\\0&0&1&6\end{array}\right][/tex]

R₂ ⇒ 7/5R₃ + R₂

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&0&-2\\0&0&1&6\end{array}\right][/tex]

R₁ ⇒ 3R₃ + R₁

[tex]\left[\begin{array}{ccc|c}1&3&0&-9\\0&1&0&-2\\0&0&1&6\end{array}\right][/tex]

R₁ ⇒ -3R₂ + R₁

[tex]\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&6\end{array}\right][/tex]

And now we have our matrix in reduced row echelon form. The solution to the system of equations would be:

x = -3

y = -2

z = 6

(-3, -2, 6)

I hope you find my answer and explanation to be helpful. Happy studying.

The equation is reduced in an echelon form given below. Then the value of x, y, and z will be −3, −2, and 6.

[tex]\begin{bmatrix} 1 & 3 & - 3 & | & -27\\ 2 & 1 & 1 & | & -2 \\ 1 & -1& 3 & | & 17\\\end{bmatrix}[/tex]

When a matrix in a row image is transformed, Gaussian eradication has been applied to the rows, and when it is in a column image is transformed, Gaussian extinction has been applied to the sections. In other words, if a matrix's transposition is in row normalized form, the matrix is in pillar echelon form.

Let the equations be a₁x + b₁y + c₁z = d₁, a₂x + b₂y + c₂z = d₂, a₃x + b₃y + c₃z = d₃.

Then the echelon form is given as,

[tex]\begin{bmatrix}a_1 & b_1 & c_1 & | & d_1\\ a_2 & b_2 & c_2 & | & d_2\\ a_3 & b_3 & c_3 & | & d_3\\\end{bmatrix}[/tex]

The equations are given below.

x + 3y − 3z = − 27

2x + y + z = − 2

x − y + 3z = 17

Then the solution to the system of equations will be done using a calculator. Then the value of x, y, and z will be

x = -3, y = -2, and z = 6

The equation is reduced in an echelon form and will be

[tex]\begin{bmatrix} 1 & 3 & - 3 & | & -27\\ 2 & 1 & 1 & | & -2 \\ 1 & -1& 3 & | & 17\\\end{bmatrix}[/tex]

More about the echelon form link is given below.

https://brainly.com/question/14693506

#SPJ2

Step-by-step explanation:

the above pic is the ans of this question

Answer:

20

Step-by-step explanation:

parent: child

5         :2

The parent is 50

50/5 = 10

Multiply each term by 10

5:10   : 2*10

50 : 20

The child is 20

Answer:

[tex]\text{point-slope form}\\\huge\boxed{y+3=\dfrac{7}{5}(x+7)}[/tex]

[tex]\text{slope-intercept form}\\\huge\boxed{y=\dfrac{7}{5}x+\dfrac{34}{5}}[/tex]

[tex]\text{standard form}\\\huge\boxed{7x-5y=-34}[/tex]

[tex]\text{general form}\\\huge\boxed{7x-5y+34=0}[/tex]

Step-by-step explanation:

The slope-point form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

where

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we have two points (-7, -3) and (-2, 4).

Substitute:

[tex]m=\dfrac{4-(-3)}{-2-(-7)}=\dfrac{4+3}{-2+7}=\dfrac{7}{5}\\\\y-(-3)=\dfrac{7}{5}(x-(-7))\\\\y+3=\dfrac{7}{5}(x+7)[/tex]

Convert to the slope-intercept form (y = mx + b):

[tex]y+3=\dfrac{7}{5}(x+7)\qquad|\text{use the distributive property}\\\\y+3=\dfrac{7}{5}x+\dfrac{49}{5}\qquad|\text{subtract}\ 3=\dfrac{15}{5}\ \text{from both sides}\\\\y=\dfrac{7}{5}x+\dfrac{34}{5}[/tex]

Convert to the standard form (Ax + By = C):

[tex]y=\dfrac{7}{5}x+\dfrac{34}{5}\qquad|\text{multiply both sides by 5}\\\\5y=7x+34\qquad\text{subtract}\ 7x\ \text{from both sides}\\\\-7x+5y=34\qquad|\text{change the signs}\\\\7x-5y=-34[/tex]

Convert to the general form (Ax + By + C = 0):

[tex]7x-5y=-34\qquad|\text{add 34 to both sides}\\\\7x-5y+34=0[/tex]

Answer:

1.) 42/55 x = the quotient. 2.) x = -1

Step-by-step explanation:

Answer:

x = - 7/9 and x = - 1

Step-by-step explanation:

Equation 1:

Step 1:

22 + 54x = - 20    Equation

Step 2:

54x = - 42   Subtract 22 on both sides

Step 3:

- 42 ÷ 54   Divide

Answer:

x = - 42/54 or - 7/9

Equation 2:

Step 1:

- 5x - 16 = 8x - 3   Equation

Step 2:

- 16 = 13x - 3   Add 5x on both sides

Step 3:

- 13 = 13x   Add 3 on both sides

Step 4:

- 13 ÷ 13   Divide

Answer:

x = - 1

Hope This Helps :)

Answer:

x= 1/2

Step-by-step explanation:

We can use Distributive property to solve this.

4(x+2)=10

4x+8=10

   -8   -8

4x= 2

4x/4= 2/4

x= 1/2

Hope this is right!

Answer: x = 2

Step-by-step explanation:

4(x+2)=10

4x + 8 =10

10 - 8  = 2

4x / 2 = 2

2 = x

hope this helps

plz mark brainleist

Answer:

-3/7

Step-by-step explanation:

Negative reciprocal means to put a negative and sign and change the numerator and denominator to be in opposite places.

7/3 -> -3/7

Best of Luck!

Answer:

-3/7

This is the reciprocal. Then we just add a negative sign in front!

Answer:

I know this isnt helpful now but the answer is A

Step-by-step explanation:

Just solving for the intercepts:

y = x^2 - 2x - 48

Factor

(x + 6) (x - 8)

equal both problems to zero

x + 6 = 0

x - 8 = 0

solve

x = 8, and -6

Answer:

$13.41

Step-by-step explanation:

1 year = 5.5%

1/4 year = 5.5/4%

1/4 year = 1.375%

975 * 1.01375 (because percents become fractions by dividing by 100) = 988.41

988.41 - 975 (because you're looking for the interest not what's his final amount) = 13.41

It would cost me 4.5$ to buy 3 cans of soup as per the proportionality.

The ratios between the two variables should be considered in order to determine whether a relationship is proportional. The relationship is proportional if the ratio remains constant. The relationship is not proportional if the ratio shifts.

given, A store sells 4 cans of soup for ​$6.

Since,

price of 4 canes of soup = 6

Price of 1 cane of soup = 6/4

thus,

Price of 3 canes of soup = 3/2 *3

Price of 3 canes of soup = 4.5$

therefore, According to proportionality, it would cost me 4.5 dollars to purchase 3 cans of soup.

Learn more about proportionality here:

https://brainly.com/question/29126727

#SPJ2

Answer:

Option (B)

Step-by-step explanation:

A function that models the value V of the stock portfolio as function of t is given by the graph.

Each grid on the y - axis measures = [tex]\frac{3-2}{4}[/tex] = 0.25

Each grid on the x - axis measures = 1 unit

Local maximum from the graph = (3, 2.5)

Global minimum = (13, 0.75)

Global maximum = (18, 3)

Local minimum = (13, 0.75)

Here local and global minimum of the function will be same as (13, 0.75).

Therefore, Option (A) will be the answer.

Given :

The perimeter of a triangle is between 10 inch and 15 inch inclusively.

To Find :

If two of the sides of the triangle are 3.7 in and 5.2 in, find the range of possible measurements of the third side.

Solution :

Let, third side is x.

So, by given constraint of perimeter :

10 ≤ ( x + 3.7 + 5.2 ) ≤ 15

10 ≤ x + 8.9 ≤ 15

1.1 ≤ x ≤ 6.1

Therefore, the range of possible measurements of the third side is in between 1.1 and 6.1 inclusively.

Hence, this is the required solution.

Answer:

0.0555 containers

Step-by-step explanation:

We need to find the unit rate for 54 pints of juice in 3 containers. It means we need to find quantity of juice in 1 container.

54 pints = 3 containers

1 pint = [tex]\dfrac{1}{18}\ \text{containers}[/tex]

or

1 pint = 0.0555 containers

So, unit rate is 0.0555 containers.

Answer:

yes

Step-by-step explanation:

Given:

A,B, and N are collinear and AB+BN= AN.

To find:

The point which is between the other two points.

Solution:

If A,B, and N are collinear, then these three points must be lie a single straight line.

AB + BN = AN

It means, the segment AN is the addition of two small segments AB and BN.

Using segment addition property, it is possible it and only if point B lies between A and N.

Therefore, the point B lies between A and N.

Answer:

m (slope) = 13/-39 (13 over -39)

Step-by-step explanation:

To find the slope by using two points, we do rise over run (y over x)

y2-y1 (the numbers 1 and two don't matter, it's just to be sure that each point's numbers line up, for example, that -19 and 20 line up, and that 20 and 7 line up)

x2-x1

20-7 = 13

-19-20 = -39

Then, simplify

13/-39 cannot be simplified, so that is your answer.

Answer:

I think 9 inches.

Step-by-step explanation:

Answer :i think its -13

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we divide W(x) by (x-a) then the remainder is W(a)

W(x) = 2x³ - 5x - 7

x - a = x + 2    ⇒  a = -2

W(-2) = 2(-2)^3 - 5(-2) - 7 = 2(-8) + 10 - 7 = -16 + 3 = -13

Answer:

-$120

Step-by-step explanation:

30 times (-2/3 times 6)

-2/3 times 6 = -4

30 times -4 = -120

Answer:

C. The arc lengths are proportional: Arc C D = 4 arc E F.

Step-by-step explanation:

The question is incomplete. Here is the complete question.

In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related?

Circle A and B are shown. Line segments D A and C A are radii with lengths of 8 centimeters. Angle D A C is 50 degrees. Line segments F B and E B are radii with lengths of 2 centimeters. Angle F B E is 50 degrees.

They are the same because the central angle measure is the same.

The arc lengths are proportional: Arc C D = 2 arc E F.

The arc lengths are proportional: Arc C D = 4 arc E F.

The arc lengths are proportional: Arc C D = 6 arc E F.

Using the formula for calculating the length of an arc to find the length of both arcs.

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

For the minor arc CD:

[tex]\theta = 50^0\\[/tex]

r = 8cm

L = 50/360 * 2π(8)

L = 5/36 * 16π

L = 80π/36

Length of CD = 20π/9 cm²

For the minor arc EF:

[tex]\theta = 50^0\\[/tex]

r = 2cm

L = 50/360 * 2π(2)

L = 5/36 * 4π

L = 20π/36

Length of arc EF = 5π/9 cm²

Find the relationship between both lengths:

From CD = 20π/9 cm²

CD = 4 * (5π/9 cm²)

since length of arc EF = 5π/9 cm²

Then arc CD = 4* arc EF

This shows that the length of arc CD is four times that of arc EF

Answer:

b = -4/5

Step-by-step explanation:

Alright, let's look at this.

-7b - 3 = 3b + 5.

To isolate the variable, we can subtract 3b from both sides to get:

-10b - 3 = 5

Now, we can add 3 to both sides!

-10b = 5 + 3 = 8

So, our resulting equation is

-10b = 8

To isolate the variable by itself (without the pesky -10 bothering us), we can divide the equation by -10 :)

b = -8/10, simplified to -4/5

I don't believe there is more than one solution to this!

Answer:

[tex]b= -\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]-7b - 3 = 3b + 5[/tex]

[tex]-10b = 8[/tex]

[tex]\frac{-10b}{-10} = \frac{8}{-10}[/tex]

[tex]b = -\frac{4}{5}[/tex]

​

Step-by-step explanation:

Hi!

So, this is peicewise function. That means that x values have to be in a certain range in order to have a function. Look at this piecewise function, for example:

[tex]\left \{ {{7x+2 } \atop {x=2}} \right.[/tex] [tex]{ {{x=2} \atop {x=13}} \right.[/tex]

When x is 2, you use the equation 7x+2.

When x is 13, you use the equation x=2.

Now we can use this graph to figure out the definition by looking at the points. An open circle means that a point can't reach that point (less than or greater than). A closed circle means that a point can touch there( less than or equal to and greater than or equal to).

So here, we have a closed circle at (-1, 1) and an open circle at (-1,2).

So, for all points that are less than or equal to -1, there will be a specific equation.

For all points greater than -1, there will be a different equation.

{this is based on x-values, btw}

So let's use these points to figure out the equations.

Check 2x + 2.

2(-1) + 2

-2 + 2 =0

This doesn't work.

Check 2x + 4

2 (-1) +4

-2 + 4 =2

This doesn't work.

Check x-2

-1-2 = -3

This doesn't work.

Check x + 2

-1 + 2 = 1

This works. Therefore, we can say that D is the answer.

Answer:

Distributive property.

Step-by-step explanation:

a(b+c)=

ab+ac

“a” is distributed into “b” and “c”.

or

“a” is shared with both “b” and “c”.

Answer:

41

Step-by-step explanation:

(4 + 5i)(4 − 5i)

We know that (a-b) (a+b) = a^2 -b^2

4^2 - ( 5i)^2

16 -25i^2

We know that i^2 = -1

16 -25(-1)

16+25

41

Answer:

41

Step-by-step explanation:

edg 2020