The value y (in dollars) of a farm tractor x years after it is purchased is given by y=-6500x+80000.
a. Graph the Equation.
b. Interpret the slope and y-intercept.

Answer:

  T'''(2, 6)

Step-by-step explanation:

The transformations used in this problem are ...

  (x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin

  (x, y) ⇒ (x +h, y +k) . . . . translation h right and k up

  (x, y) ⇒ (y, x) . . . . . . reflection over the line y=x

__

Applying these transformations to point T(-5, -4), we have ...

1.  T(-5, -4) ⇒ T'(5, 4)

2. (h, k) = (1, -2), so we get ...

  T'(5, 4) ⇒ T"(5 +1, 4 -2) = T"(6, 2)

3. T"(6, 2) ⇒ T'''(2, 6) . . . . straightforward application of the separate transformations

Answer:

a. (2c+1b)-1w

b. monomial

Step-by-step explanation:

Answer:

A

Step-by-step explanation: {reduction}

{[tex]\frac{2X3}{3X3}=\frac{2}{3}[/tex]} {[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}

A. 6 to 9 7'5 [tex]\frac{6}{9}=\frac{2}{3} , \frac{9}{12}=\frac{3}{4}[/tex]

{[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}

B. 9 to 12 7'5 [tex]\frac{9}{12}=\frac{3}{4} , \frac{15}{20}=\frac{3X5}{4X5}=\frac{3}{4}[/tex]

C. [tex]\frac{15}{20}=\frac{3}{4} ,[/tex] 24 = 32 = 3 × 8: 4 ×8 = 3 = 4

D. [tex]\frac{30}{40}=\frac{3X10}{4X10}=\frac{3}{4} , 18:24=3X6=4X6=3:4[/tex]

choose A

Answer:

See below

Step-by-step explanation:

Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

Line a: -x+2y=3

                 2y = x + 3

                  y = (1/2)x + 3

Line b: -6x=3y-1

             -3y = 6x - 1

               y = -2x + (1/3)

Line c: 4x-8y=5

              -8y = -4x + 5

                y = (1/2)x - (5/8)

Parallel lines have the same slope (m).  Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.

Slopes, m, for the lines are;

The negative inverse of (1/2) is -2.

Lines a and c are parallel (same slope)

Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2

Answer:

30 days

Step-by-step explanation:

she starts with $5, so she needs $25 more to have $30.

if she saves $5 ever six days, she needs to do this five times to reach $30.

6*5=30

good luck :)

Answer:

Remainder=35.25

Quotient = 2x²+8x+10.7

Answer:

9

Step-by-step explanation:

I need to write 20 characters

Given :-

To Find :-

Solution :-

Here the initial cost is Rs 3500 and the new cost is Rs 3200. So the decrease in its price is ,

→ Decrease = Rs 3500 - Rs 3200

→ Decrease = Rs 300

Now we may find the % change in its price by ,

→ Decrease in cost/Initial cost * 100 %

→ Rs 300 /Rs 3500 * 100 %

→ 8.57%

Hence the price is decreased by 8.57% .

I hope this helps.

Answer:

Decreased Percentage is 8.57 %

Step-by-step explanation:

Given:

Cost of cell phone = Rs. 3500

Cost after decreased in price Rs. 3100

To find:

Decreased percentage

Decreased Amount =

3500 - 3100

= Rs. 300

Decreasee Percentage =

[tex]\frac{decreased \: \: amcount}{initial \: \: cost} \times 100 [/tex]

[tex] = \frac{300}{3500} \times 100[/tex]

[tex] = \frac{300}{35} [/tex]

= 8.57%

Answer:

a. 7/25

b. 24/25

c. 24/25

d. 7/25

e. 7/24

f. 24/7

Step-by-step explanation:

sin is opposite/hypotenuse.

cos is adjacent/hypotenuse.

tan is opposite/adjacent.

Plug in the formulas to get find the ratios.

Answer:

Its B

Step-by-step explanation:

No of teachers in the school = 5

Salaries they make =40000 to 70000

When one of the five teachers reduce salary to 20000/- per year, median may or may not shift one number to the left

Mean will definitely decrease by difference/5 = 4000 dollars

Thus mean will defintely change by reduction of 4000 dollars.

Median has a chance to remain the same or may shift left side one item.

Answer:

if the tip is 20% and 7%, it means that the meal MUST cost less than 32.85.

the reason behind this is that if we have $45 to spend it means that each 1% is 0.45 and 0.45x27=12.15 meaning that if we subtract this from $45 we get 32.85.

Now we have already spent $14 on our drink and appetizer so 32.85-14=18.85 we can only spend 18.85 on our meal

Answers:

====================================================

Further explanation:

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

For simplifying this fraction, let first consider it as

[tex]{:\implies \quad \sf \dfrac{x}{y}-1}[/tex]

If we take LCM, and simplify it further, we will be having ;

[tex]{:\implies \quad \sf \dfrac{x\cdot 1-1\cdot y}{y}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{x-y}{y}}}}[/tex]

This is the required answer

Answer:

[tex]x>-28[/tex]

Step-by-step explanation:

Given the following question:

[tex]-x\div4<7[/tex]

In order to find the answer, we have to isolate the variable by multiplying four on both sides.

[tex]\frac{-x}{4} <7[/tex]
[tex]\frac{-x}{4} =x\times4[/tex]
[tex]7\times4=28[/tex]
[tex]-x>28[/tex]
[tex]-x\times-1=x[/tex]
[tex]28\times-1=-28[/tex]
[tex]x>-28[/tex]

Hope this helps.

Answer:

x>-28

Step-by-step explanation:

First to cancel out the fraction times the whole fraction by the denominator 4 AND the 7 then multiply 7*4=28

This leaves you with

-x<28

To get rid of the -x divide both sides of the inequality by -x, This also changes the sign of the inequality to > Because you are Dividing both sides of the inequality

Negative/Negative =positive

Positive/Negative =Negative

So, You get
x>-28

Answer:

Each coffee is $6

Step-by-step explanation:

So she bought a cupcake so 35-5=30

Divide 30 by 5 and you get 6.

Answer:

C

Step-by-step explanation:

Let's assume the number is x.

Negative means a minus or subtraction.

Decrease also means a minus or subtraction.

Three times the number which we have assumed to be x will be: 3*x=3x

The answer:

-13 - 3x

Answer:

Writing the information in the form of ratio

Three point basket = Three point tries

3 : 4

27 : x

Think about multiplication , how many 3s do you need to make 27 ?

Its 27 ÷ 3= 9

Because you need 9 lots of 3, Then to make it proportional , you'd need 9 lots of 4

9×4 = 36

Three points tries is 36

Answer:

-5

Step-by-step explanation:

when x is squared it will always be positive so x can be negative or positive

Answer:

Step-by-step explanation:

Tangents drawn to the circumference of a circle are equal.

x^2 + 8 = 33                      Subtract 8 from both sides

x^2+8-8 = 33 - 8               Combine

x^2 = 25                            Take the square root of both sides.

√x^2 = √25

x = ± 5

So x = 5.

x can also be - 5. The minus goes away when you calculate x^2

because x is squared, you can get two answers, but be very careful when doing geometry questions that the minus number is used in such a way that only a positive value will be left.

Answer:

1/m^5

Step-by-step explanation:

express with a positive exponent using x^-n = 1/x^n

Answer:

[tex]c)\: \cfrac{1}{m^5}[/tex]

Step-by-step explanation:

[tex]m^{-5}[/tex]

Apply the exponent rule:

[tex]m^{-5}[/tex]

[tex]\cfrac{1}{m^5}[/tex]

Hope it helps! :)

Answer:

∠ ADC = 110°

Step-by-step explanation:

∠ CDE = 90° ( angle between perpendicular lines ) , then

∠ CDB + ∠ BDE = 90°

∠ CDB + 20° = 90° ( subtract 20° from both sides )

∠ CDB = 70°

∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so

∠ ADC + ∠ CDB = 180° , that is

∠ ADC + 70° = 180° ( subtract 70° from both sides )

∠ ADC = 110°

Answer:

42

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Given expression to us is ,

[tex](9^{2} )^{-1/3}[/tex]

We know that ,

[tex] 9 = 3^2[/tex]

So our expression becomes ,

[tex]\{ (3^2)^2\}^{\frac{-1}{3}}[/tex]

And , [tex] (a^m)^n =a^{mn}[/tex] . Using this ,

[tex] (3^4)^{\frac{-1}{3}}[/tex]

Again using the same law ,

[tex] 3^{\frac{-4}{3}}[/tex]

We know that , [tex] a^{-m}=\frac{1}{a^m}[/tex] . Therefore ,

[tex] (3^{-4})^{\frac{1}{3}}[/tex]

[tex]\\\bigg( \dfrac{1}{3^4}\bigg)^{1/3}[/tex]

[tex]\\ \dfrac{1}{\sqrt[3]{3^4}}[/tex]

Simplify ,

[tex] \dfrac{1}{3\sqrt[3]{3}}[/tex]

This is the simplified expression.

I hope this helps.

Answer:

They are similar because both triangles are the same. Triangle ABC is just smaller than triangle ADE.

Answer:

9.9 millimeters

Step-by-step explanation:

To find the perimeter of a square,

Equation: 4 • length = P

So in this case, we're just working backwards. To find the length, divide.

39.6/4 = 9.9

Answer:

9.9 mm

Step-by-step explanation:

let [tex]x[/tex] = length of one edge of the square

perimeter of a square = 4[tex]x[/tex]

⇒ 39.6 = 4[tex]x[/tex]

⇒ [tex]x[/tex] = 39.6 ÷ 4 = 9.9 mm

Answer:

The answer is 2y -1 over 3y+1 ( last multiple choice)

Step-by-step explanation:

- move the y's beside the 3 and 2 to get rid of the 1/y fraction