find the total tax to the nearest cent $58 bill; 20% tip

Answer:

y+3=-6(x+8)

Step-by-step explanation:

Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);

y+3=-6(x+8)

Dante is incorrect because point P is not the circumcenter of the triangle.

The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.

There are some simple characteristics to determine if a circumcenter is correct.

Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.

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The value of the computer decreases by $800 per year.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).

Let y represent the cost of the computer and x represent the years after 2018.

A computer was purchased for $3200 in 2018. It is represented by the point (0, 3200). Also, in  2020 the computer was worth $2000, it is represented by the point (2, 2000). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3200=\frac{2000-3200}{2-0}(x-0)\\\\y-3200=-800x\\\\y=-800x+3200[/tex]

Therefore the value of the computer decreases by $800 per year.

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A linear relationship will always decrease or increase at a constant and uniform rate.

Part 1

(a) The linear equation

In 2018, the value is $3200

In 2020, the value is $2000

Let the number of years since 2018 be x, and the value be y

So, we have the following representation

[tex]\mathbf{(x,y) = (0,3200) (2,2000)}[/tex]

Start by calculating the slope (m)

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

So, we have:

[tex]\mathbf{m = \frac{2000 - 3200}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{- 1200}{2}}[/tex]

Divide

[tex]\mathbf{m = - 600}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x -x_1) +y_1}[/tex]

So, we have:

[tex]\mathbf{y = -600(x -0) +3200}[/tex]

[tex]\mathbf{y = -600x +3200}[/tex]

Hence, the linear equation is [tex]\mathbf{y = -600x +3200}[/tex]

(b) The estimated value in 2022

In 2022, x = 4

So, we substitute 4 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 4 +3200}[/tex]

[tex]\mathbf{y = 800}[/tex]

Hence, the value in 2022 is $800

Part 2

The estimated value in 2024

In 2024, x = 6

So, we substitute 6 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 6 +3200}[/tex]

[tex]\mathbf{y = -400}[/tex]

Hence, the value in 2024 is -$400

This value does not make sense, because the value cannot be negative

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(x-5)+3(4+6) distibrute 2 through the parenthesis(uwu)

2x-10+3x10 multiply the numbers :) basta multiply mo

2x-10+30 calculate the sum :- kayo na sumalat nan uwu

2x+20

ito sulotion

2x+20

Answer:

2x + 20 OR 2(x + 10)

Step-by-step explanation:

2(x - 5) + 3(4 + 6) =>

2x - 10 + 12 + 18   =>

2x + 20 OR 2(x + 10)

1) - 3 + r > 4

=》r > 4 + 3

=》r > 7

2) r + 1 < -1

=》r < -1 - 1

=》r < -2

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

[tex]\sf -3 + r > 4[/tex]

[tex]\sf -3+r+3>4+3[/tex]

[tex]\boxed{\sf r>7}[/tex]

_______________

[tex]\sf r + 1 < -1[/tex]

[tex]\sf r+1-1<-1-1[/tex]

[tex]\boxed{\sf r<-2}[/tex]

_______________

Answer: 1756

Step-by-step explanation:

16+1+6=23

15+5+1=21

1800-23=1777

1777-21=1756

Answer:

In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.

The members of a book club spend $0.4 for each Bagel as refreshment.

Let x represent the cost of each bagel.

At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:

Cost = 6x + 9

At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:

Cost = 8x + 8.20

Since the same money is spent on each meeting, hence:

6x + 9 = 8x + 8.2

2x = 0.8

x = $0.4

Therefore the cost of each bagel is $0.4

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Answer:

If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).

To find the height x of the kite, we can apply the Pythagorean theorem.

x² = 11² - 8²

x² = 121 - 64

x² = 57

x =√57

Step-by-step explanation:

Answer:

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Step-by-step explanation:

Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.

Enjoy your day! :D

Answer:

49x^4-70x^3+319x^2-420x+150, first option

Step-by-step explanation:

Just do (7x^3-5x^2+42x-30) times (7x-5)

and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.

All this would simplify to the first option.

49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150

= 49x^4 - 70x^3 + 319x^2 - 420x + 150

ANSwer: The first one.

Answer:

u=92

Step-by-step explanation:

Like and give 5 star rating

Answer:

48 miles/hour

Step-by-step explanation:

(336 miles)/(7 hours) = 48 miles/hour

Answer:

the average speed is 336 devided by 7 then you get the answer

Answer:

16

Step-by-step explanation:

2x2x2x2 = 16

Answer:

10-2x

Step-by-step explanation:

(x-5) (-2)= x(-2) -5(2) = -2x - 10 = 10-2x.

Answer:

-2x+10

Step-by-step explanation:

(x-5)(-2)

(x×-2) (-5×-2)

= -2+10

Answer:

x=10

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

I took the test. Hope this helps

The solution of the given equation is when the x = 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation 1/4x−3/4=1/2, also the replacement set {−1, 1, 5}

First, substitute the values from the given set;

When x = -1

1/4x−3/4=1/2

1/4(-1) − 3/4 = 1/2

-1/4 - 3/4 = 1/2

-4/4 = 1/2

-1= 1/2

This is not the solution to the given equation.

When x = 1

1/4x−3/4=1/2

1/4(1) − 3/4 = 1/2

1/4 - 3/4 = 1/2

-2/4 = 1/2

-1/2 = 1/2

This is not the solution to the given equation.

When x = 5

1/4x−3/4=1/2

1/4(5) − 3/4 = 1/2

5/4 - 3/4 = 1/2

2/4 = 1/2

1/2 = 1/2

This is the solution to the given equation.

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Answer:

open circle btw

Step-by-step explanation:

step 1: go to the right where the 3 is

step 2: go to the little dash the 1st one on the right of the 3

step 3: circle the dash and make an arrow going to the right

What do you need help with? Are you in danger?

This file has it partly done

Answer:

9/10

Step-by-step explanation:

if he has 10 and eats 9 you divide 9 by 10

= 9/10

Arnold eats 9 / 10 fractions of the sweets.

Given that,

Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets he eat is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Arnold has a bag of 10 sweets
Total sweets = 10
Total sweets that were eaten by Arnold = 9
So,
Fraction = sweets eat / total sweet
Fraction = 9 / 10

Thus, Arnold eats 9 / 10 fractions of the sweets.


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Answer:

w = ± [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

w² = [tex]\frac{4}{9}[/tex] ( take square root of both sides )

w = ± [tex]\sqrt{\frac{4}{9} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]

Then

w = - [tex]\frac{2}{3}[/tex] or w = [tex]\frac{2}{3}[/tex]

Answer:

x = 79

y = 12

Step-by-step explanation:

x + y = 91

x - y = 67

=> x = (91 + 67) : 2 = 79

=> y = (91 - 67) : 2 = 12

P/s: I don't know how to explain what I just did actually, since we learn how to solve this kind of problem in primary at my place already so it's like a blurry memory about how I learn it. If the math problem is to find 2 numbers, knowing their sum and the difference already, this is how to solve it:

=> Larger number: (Sum + difference) : 2

=> Smaller number: (Sum - difference) : 2

If you can memorize it, good for you! If not then it's alright, this is just a nice tips from me to you. You'll have more advantages in solving these kind of math problem if you can memorized these 2 formulas.

Answer: q = -sx

Step-by-step explanation: