What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?

13.4 units

17.9 units

26.8 units

40.0 units

Answer: Option B    |x|  and Option C   |x|-1

Explanation:

Absolute function is the function that gives the positive value of any variable even of negative variable.

For example if -1 is operated under absolute function that is |-1| gives the value 1

Option A is incorrect because  [tex]\frac{1}{x}[/tex]  is not written under the denotion of absolute function.

if we say 'x'  is an absolute function it will be denoted by |x|.

Option D is incorrect again because it is not written under the denotion of absolute function.

Absolute function or modulus function is same .

The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.

The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.

Answer:

c 268

Step-by-step explanation:

i did the test on the home school time for learning

Answer:

In Point Form: (x,y,z)= (3,6,-1)

In Equation Form: x=3, y=6, z=-1

Step-by-step explanation:

1) Solve for x

           2x+2z=4 (Subtract 2z from both sides)

           -2z  -2z

           2x= 4-2z  (Divide 2 from both sides)

           /2      /2

           x=2-z

2) Substitute 2-z for x in

                       -x-y-z=-8

                       -(2-z)-y-z=-8

                       -2+z-y-z=-8  (Combine Like Terms)

                       -2-y=-8 (Add 2 to both sides)

                       +2     +2

                       -y=-6  (Divide -1 from both sides)

                       /-1   /-1

                       y=6

3) Substitute 2-z for x & 6 for y in

                          -4x+4y+5z+=7

                          -4(2-z)+4(6)+5z=7  (Get rid of parentheses)

                          -8+4z+24+5z=7   (Combine Like Terms)

                          9z+16=7  (Subtract 16 from both sides)

                               -16  -16

                          9z+=-9  (Divide 9 from both sides)

                          /9     /9

                          z=-1

4) Now find x by substituting -1 for z in

                                          x=2-z

                                          x=2-(-1)  

                                          x=2+1

                                          x=3  

Therefore the answer is:

In Point Form: (x,y,z)= (3,6,-1)

In Equation Form: x=3, y=6, z=-1

To determine the system of two inequalities which is represented by the graph, you have to do such steps:

1 step. The dashed blue line represents sign > or <. The line has the equation y=2x, then the inequality should be y>2x or y<2x. Since point (-1,1) belongs to the blue shaded region, then the inequallity y>2x is true.

2 step. The solid red line represents sign ≤ or ≥. The line has the equation x+2y=-8, then the inequality should be x+2y≤-8 or x+2y≥-8. Since the origin  (0,0) doesn't belong to the red shaded region, then the inequallity x+2y≤-8 is true.

Thus, the system is

[tex]\left\{\begin{array}{l}y>2x\\x+2y\le-8.\end{array}\right.[/tex]

Answer: correct choice is A.

Treat this like a function question, only instead of f(n) = n^2 + 1, you’re told that the nth term equals n^2 + 1. Different language, same exact result:

The 7th term will be 7^2 + 1 = 50, and the 10th term will be 10^2 + 1 = 101. 101 is 51 greater than 50. 

Final answer:

To find how much greater the 10th term is compared to the nth term in a sequence, we need the sequence's rule. Assuming the rule is n^2, the 10th term is 10^2. The difference would be 10^2 - n^2, but without the value for n or a clear sequence definition, the numerical difference remains unknown.

Explanation:

The question appears to be asking for the 10th and nth terms of a defined sequence, but there seems to be a typo or missing information specifying the rule for the sequence. To find how much greater the 10th term is compared to the nth term, we would first need the explicit formula for the sequence. If the sequence is defined such that the nth term is n2, then the 10th term would be 102, and the nth term would be n2. The difference between the two terms is then 102 - n2. Without the value for n or a proper sequence definition, we cannot find the actual numerical difference.

Answer:

the answer is 31.6 on PLATO

The slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The function graphed shows the total cost for a taxi cab ride for x miles the cost in taxi is shown in y axis and the distance covered by taxi in x axis. Now, to find put the slope we must two coordinates which can be found out from the graph easy by observation as (0,3) and (2,8).

How using slope formula to find the slope of line :

[tex]\begin{aligned}\frac{y_{2}-y_{1}}{x_{2}-x_{1}}&=\frac{8-3}{2-0}\\&=\frac{5}{2}\\&=2.5\end{aligned}[/tex]

It represents the cost of taxi per mile of distance travelled.

Therefore, the slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

check and know more about slope of line here :

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The given point (−7,1) is a solution to the inequality.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We must determine if the inequality holds for a certain set of ordered pairs in order to determine which ordered pairs constitute the answer to the inequality.

We have been given inequality is:

⇒ y < 0.5x + 9

To determine the point (−7,1) a solution to the inequality

Substitute x = -7 and y = 1 in the inequality, we get

⇒ y < 0.5x + 9

⇒ 1 < 0.5(-7) + 9

⇒ 1 <  -3.5 + 9

Apply the subtraction operation in the above inequality, we get

⇒ 1 < 5.5

This is true.

Hence, the given point (−7,1) is a solution to the inequality.

Learn more about the inequalities here:

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-4x-3<29

-4x-3+3<29+3

-4x<32

-4x/-4<32/-4

X<-8

Solution:

The Claim that Kayla has made that absolute value of a number is always greater than the number itself is  not true.

The correct statement should be, :

The Absolute value of a number is always greater than or equal to the number itself is a true statement.

Symbolically, | x | ≥ x , if x is a real number.→→True statement

Out of four options, given

Option(D)→ The Claim made by Kayla is incorrect.As, The absolute value of 0 or a positive number is equal to the number.

Final answer:

The side length of a square with the same perimeter as an equilateral triangle with side 7 cm is 5.25 cm.

Explanation:

To find the side length of a square with the same perimeter as an equilateral triangle with sides of 7 cm, first calculate the perimeter of the triangle, which is 7 cm x 3 = 21 cm. Since a square has four equal sides, divide the perimeter by 4 to get the side length of the square. Thus, the side length would be 21 cm ÷ 4 = 5.25 cm.

Answer:

The answer is W-2 form.

Step-by-step explanation:

The answer will be the W-2 Form.

The W-2 form is basically a wage and tax statement. This form is sent by an employer to his employees and to IRS at each year end.

This form tells about the employee's annual wages and the amount of taxes withheld from his paychecks.

Step-by-step explanation:

f = 50 (parallel lines)

180 - 50 = a (angle sum of straight line)

a = 130

50 + 75 + b = 180 (angle sum of triangle)

125 + b = 180

b = 180 - 125

  = 55

c = 55 (vertically opposite angles)

e = 55 (alternate angles)

d= 180 - 55 (angle sum of straight line)

 = 125

The original price of the shirt is simply the sum of the purchased price and the discount price, that is:

original price = $17.55 + $5.85

original price = $23.40

The equation that best model this scenario is:

x - 5.85 = 17.55

where x is the original price