Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning

Answer:

x = 16, y = 23

Step-by-step explanation:

Consider angles related to the parallel lines and the left transversal

4x + 4 and 7x - 44 are alternate exterior angles and congruent , thus

7x - 44 = 4x + 4 ( subtract 4x from both sides )

3x - 44 = 4 ( add 44 to both sides )

3x = 48 ( divide both sides by 3 )

x = 16

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Consider angles related to the parallel lines and the right transversal

39 and 8y - 43 are same- side exterior angles and supplementary, thus

39 + 8y - 43 = 180 , that is

8y - 4 = 180 ( add 4 to both sides )

8y = 184 ( divide both sides by 8 )

y = 23

Answer:

The Answer is B

Step-by-step explanation:

In [tex](a^{-2} * 8^{7})^{2}[/tex], each inner term has its exponent multiplied by the two on the outside. The answer is thus [tex]a^{-4}*8^{14}[/tex] or [tex]\frac{8^{14}}{a^{4}}[/tex]

Answer:

14cm and 22cm

Step-by-step explanation:

Given parameters:

Perimeter of rectangle  = 72cm

Ratio of length to width  = 7: 11

Unknown:

Length and width of the rectangle  = ?

Solution:

Since the ratio of length to width is 7: 11,

  if the length is 7x , width = 11x

 The perimeter of a rectangle can be obtained using

Perimeter = 2(L + W)

  Insert the parameters and solve;

          72  = 2(7x + 11x )

          72 = 2(18x)

           x  = [tex]\frac{72}{36}[/tex]  = 2

The length = 7x  = 7x2 = 14cm

        width  = 11x = 11 x 2 = 22cm

Answer:

c

Step-by-step explanation:

Answer:

8

10 divided by 5 is 2, and 2 cubed is 8

Answer: 75

Step-by-step explanation:

Multiple all those numbers together and then divide by 3

Answer:

75

Step-by-step explanation:

V=lwh/3 which =5·7.5·6/3 and that equals 225/3 which results in 75

Answer:

-3(2m - 3)

Step-by-step explanation:

Find GCF

-3 so -6m/-3 = 2m

9/-3 = -3

-3(2m-3)

Answer: 2х+5y=25=  Slope = -0.800/2.000 = -0.400

 x-intercept = 25/2 = 12.50000

 y-intercept = 25/5 = 5

so slope form =0,400

x intercept form = 12.50000

y intercept =5

and the answer to 2x+3y=-1=  Slope = 1.333/2.000 = 0.667

 x-intercept = 1/2 = 0.50000

 y-intercept = -1/3 = -0.33333

Step-by-step explanation:  an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x+5y-25  = 0 and calculate its properties

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

 y-intercept = 25/5  =  5

When y = 0 the value of x is 25/2 Our line therefore "cuts" the x axis at x=12.50000

 x-intercept = 25/2  = 12.50000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 4.200. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.200 - 5.000 = -0.800 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.800/2.000 = -0.400  

Geometric figure: Straight Line

 Slope = -0.800/2.000 = -0.400

 x-intercept = 25/2 = 12.50000

 y-intercept = 25/5 = 5

Answer:

1)[tex]x^2+x-12=0[/tex]

2)[tex]x^2+8x-20=0[/tex]

3)[tex]x^2+0.9x-0.36=0[/tex]

4)[tex]2x^2-6x-36=0[/tex]

5)[tex]x^2-5x-84=0[/tex]

Step-by-step explanation:

1) The length of a wooden frame is 1 foot  longer than its width and its area is equal  to 12 sq. ft.

Let the width be x

We are given that length of a wooden frame is 1 foot  longer than its width

So, Length = x+1

Area of rectangular frame =[tex]Length \times Breadth = x(x+1)[/tex]

ATQ

x(x+1)=12

[tex]x^2+x-12=0[/tex]

2)The length of the floor is 8 m longer than  its width and there is 20 square meters.

Let the width be x

We are given that length of the floor is 8 m longer than  its width

So, Length = x+8

Area of floor= [tex]Length \times Breadth = x(x+8)[/tex]

ATQ

x(x+8)=20

[tex]x^2+8x-20=0[/tex]

3)The length of a plywood is 0.9 m more  than its width and its area is 0.36 m2.

Let the width be x

We are given that length of a plywood is 0.9 m more  than its width

So, Length = x+0.9

Area of plywood=[tex]Length \times Breadth = x(x+0.9)[/tex]

ATQ

x(x+0.9)=0.36

[tex]x^2+0.9x-0.36=0[/tex]

4)The area of rectangle whose length is six  less than twice its width is thirty-six

Let the width be x

We are given that length is six  less than twice its width

So, Length = 2x-6

Area of rectangle = Length \times Breadth = x(2x-6)

ATQ

x(2x-6)=36

[tex]2x^2-6x-36=0[/tex]

5)The width of a rectangular plot is 5 m  less than its length and its area is 84 m2.

Let the length be x

Width = x-5

Area =[tex]Length \times Breadth = x(x-5)[/tex]

ATQ

x(x-5)=84

[tex]x^2-5x-84=0[/tex]

Answer:

B

Step-by-step explanation:

The pattern is adding 130, or multiply the servings by 130.

so if 3x=390, you would divide both sides by 3 and get 130.

This means that x=130

Now plug in 4x=?

You would get 4*130=?

if you do the math through multiplication you would get 520

Answer:

B

Step-by-step explanation:

I got the unit test right on edg 2020

Answer:

D

Step-by-step explanation:

i know its six units right but i dont know what the rest of the answer says tho

Answer: D

Six units right

Step-by-step explanation:

I got it right on edg2020

Answer:

Step-by-step explanation:

The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).

You are expected to use this relation to write and solve an equation.

  exterior angle = angle D + angle B

  (2x +16) = 58 + (x+12)

  2x +16 = x +70

  x + 16 = 70

  x = 54

Then angle ACD is ...

  angle ACD = (2x +16)° = (2·54 +16)°

  angle ACD = 124°

Answer:

y = [tex]-\frac{1}{5}[/tex]x - 4

Step-by-step explanation:

Given parameters:

   Coordinates  = (5, -5)

 Equation of the line, x + 5y = 20

Unknown:

Equation of the line parallel to this= ?

Solution:

To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.

The equation of any straight line is given as;

          y = mx + c

y and x are the coordinates

m is the slope

c is the y- intercept

  Now,

         x + 5y = 20

  Let us find the slope of this line;

            5y  = -x + 20

Divide through by 5;

            y  = [tex]-\frac{1}{5}[/tex]x + 4

The slope of the new line is the coefficient of x;

  Slope =  [tex]-\frac{1}{5}[/tex]

So, let us find the y-intercept of the new line;

          -5 = [tex]-\frac{1}{5}[/tex] x 5 + c

          -5 = -1  + c

           c = -5 + 1   = -4

Now,

    y = [tex]-\frac{1}{5}[/tex]x - 4

Answer: y = -(1/5)x - 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Where the question?

Step-by-step explanation:

Answer:

u=27 v=9.5 w=28.5

Step-by-step explanation:

Answer:

2.5 hours

Step-by-step explanation:

420x4/5=336

840/336=2.5

Answer

2.5 hours

Step-by-step explanation:

4/5 of 420 is 336 mph

840 ÷ 336 = 2.5 hours

3,708,000,000 in  scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]

Answer:

B: (-8,-2)

you add the equation to solve the first variable, then plug in the values to the other equation to find the last variable

good Luck!!!

Answer: x= 108

Step-by-step explanation:   (2x)" 54 x= 108x^2= (2^X3^3x^2 )= 108

Answer:

.3

Step-by-step explanation:

multiply .15 by 2

Answer:

The Transitive Property for x and y

Step-by-step explanation:

Step-by-step explanation:

So, cost of 6.5 kg of apples is Rs. 520 and we need to find cost of one kg apples.

So,

6.5 kg -- Rs. 520

1 kg -- Rs.(520/6.5) = Rs.80

Answer:

We need the choices, since there are plenty equations with the same value.

Step-by-step explanation:

4/25=0.16

Whichever equation equals 0.16 is your answer.

Answer:

5

Step-by-step explanation:

Average rate of change is slope, which is change in y over change in x:

[tex]\frac{[5(6)+2]-[5(-2)+2]}{6-(-2)} =\frac{32-(-8)}{8} =5[/tex]

The average rate of change of the function is 5.

The sum of the change in the function values (output values) divided by the change in the input values is the average rate of change between two input values.

The given interval is [-2,6] and the given function is f(x) = y = 5x + 2.

The value of the function for x = 6 is:

f(6) = 5(6) + 2

f(6) = 32

The value of f(x) for x = -2 is:

f (-2) = 5(-2) + 2

f(-2) = -10 + 2

f(-2) = -8

The average rate of change of the function is given by:

( f(6) - f(-2) )/ (6 - (-2))

= ( 32 - (-8))/ (6 + 2)

= ( 32 + 8)/8

= 40/8

= 5

Hence, the average rate of change of the function is 5.

Learn more about the average rate of change:

https://brainly.com/question/23715190

#SPJ2

Answer:

−10r +10

Step-by-step explanation:

Let's simplify step-by-step.

−5−5r+10−5−5r+10

=−5+−5r+10+−5+−5r+10

Combine Like Terms:

=−5+−5r+10+−5+−5r+10

=(−5r+−5r)+(−5+10+−5+10)

=−10r+10

Answer:

−5r+5

Step-by-step explanation:

Answer:

7 and 3

Step-by-step explanation:

7+3=10. And 7-3=4

Answer:

.05n + .25( 35-n) = 6

Step-by-step explanation:

Add the value of each coin times the number of each coin to get the total amount

.05n + .25( 35-n) = 6

Answer:

A i think

Step-by-step explanation:

1 Multiply both sides by 3x3x.

6{x}^{2}-12+21x=x6x

​2

​​ −12+21x=x

2 Move all terms to one side.

6{x}^{2}-12+21x-x=06x

​2

​​ −12+21x−x=0

3 Simplify  6{x}^{2}-12+21x-x6x

​2

​​ −12+21x−x  to  6{x}^{2}-12+20x6x

​2

​​ −12+20x.

6{x}^{2}-12+20x=06x

​2

​​ −12+20x=0

4 Use the Quadratic Formula.

x=\frac{-20+4\sqrt{43}}{12},\frac{-20-4\sqrt{43}}{12}x=

​12

​

​−20+4√

​43

​

​​

​​ ,

​12

​

​−20−4√

​43

​

​​

​​

5 Simplify solutions.

x=-\frac{5-\sqrt{43}}{3},-\frac{5+\sqrt{43}}{3}x=−

​3

​

​5−√

​43

​

​​

​​ ,−

​3

​

​5+√

​43

​

​​

​​

Answer

i'm pretty sure 64 people attended the concert.

Step-by-step explanation:

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