What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1

Answers

Answer 1

Answer:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)

Determine the slope (m):

[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]

The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

To find the y-intercept, plug in the given point (6,14) and solve for b:

[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]

Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

I hope this helps!


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Victoria is preheating her oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 8 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

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Answer:

answer is on my head

Step-by-step explanation:

I need points

If Maria can read 8 pages in 40 minutes, how many pages can she read in 120 minutes?

Answers

8/40=?/120 40x3=120 8x3=24 so 24 pages or 24/120

Mia’s house has increased in value by $12000 in 15 months. Work out the rate of increase in the value of Mia’s house. Give your answer in dollars per month.Bạn đã gửi

Answers

Answer: 800 dollars per month

Step-by-step explanation:

12000 divided by 15 is 800

800 x 15 = 12000

Find the value of this expression if x = -2.
X - 4
X

Answers

X-4
——
X

-2-4
——
-2

Calcule the difference

-6
—-
-2

Reduce the fraction with -2

=3

HELP ASAP NOW LIKE NOW
Consider cashiers and people who line up for the cashiers in a supermarket, in how many ways can 3 people line up for 3 cashiers

Answers

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

First, we consider the number of ways in which we can arrange the 3 cashiers. Since order matters, we use permutation. So, we have ³P₃ ways of arranging the 3 cashiers. ³P₃ = 3 × 2 × 1 = 6 ways.

Also, the number of ways we can arrange the 3 people to line up since order matters is ³P₃ =  3 × 2 × 1 = 6 ways.

So, the total number of ways in which we can arrange both the 3 cashiers and the 3 people in a line is ³P₃ × ³P₃ = 6 × 6 = 36 ways.

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

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Answer:

60 ways

Step-by-step explanation:

So, sadly there is no real algorithm that I could find for this so I just went ahead and listed all the ways that the people can be organized

3,0,0

0,3,0

0,0,3

2,1,0

2,0,1

1,2,0

1,0,2

0,2,1

0,1,2

1,1,1

So, we have 10 ways to organize them. But we need to remember that there are also 6 ways to randomly organize 3 people. So, 10x6 is 60

Solve algebraically for all values of x:
8x^4-70x^3-18x^2

Answers

Answer:

x= 0

x= 9

x= -1/4

Step-by-step explanation:

(look at the pic I posted)

PLEASEE I NEED THIS ANSWER ASAP PLEASE!!

Answers

Answer:

D

Step-by-step explanation:

Help meee plssss…………..

Answers

Answer:

therefore m=-3•5

Step-by-step explanation:

-39=18+4m

collect like terms

4m=18-39

4m=-14

divide both sides by 4m

m= -3•5

can i please get some help here its math

Answers

x is 9


12x + 17 = -1 + 14x
18 = 2x
x = 9
-1+14x=12x+17
+1 +1
14x=12x+18
-12x -12x
2x=18
/2 /2
X= 9

H.C.F of 4,5 and 10 in Division method​

Answers

Answer:

63

Step-by-step explanation:

yan po sagot ko Hindi ko po alam kung tama o Hindi basta yan po sagot ko...

Answer:

20

Step-by-step explanation:

20 ÷ 2 = 10

20 ÷ 5 = 4

20 ÷ 4 = 5

What is
5
90
in decimal form?

Answers

Answer:

590 decimal form is 5.9

Step-by-step explanation:

Answer:

0.05555555555

Step-by-step explanation:

it is only a division

5/90 =

5 : 90 =

0.05555555555

Calculate the slope of the line shown on the graph using any two of the labeled points. Show your work on paper or in the box below.

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Answer:

A Benjamin Franklin

B George Washington

C Abraham Lincoln

D John Adams

Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?

Answers

The correct option is D f⁻¹(x) = 2 + √(x + 2).

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function of a function f in mathematics is a function that reverses the operation of f.

The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,

f⁻¹(x) = 2 + √( x + 2).

Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).

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Solve for x 3/8(2x+16)−2=13

The "/" is for a fraction btw

Answers

X= -623/96


I hope this helped

given r||s, what is the measure of <1 ?

Answers

Step-by-step explanation:

post the full question

hope this helps you.

It took Sharon 105 minutes to wash three cars and put everything away. If she spent 10

minutes putting everything away, how long did it take to wash each car?

Answers

Well that would be 105 - 10. If you spent 105 minutes in total and 10 of that was putting your stuff away, take that 10 minutes away and you’d get 95. So, she spent 95 minutes washing 3 cars in total. If you divide that 95 into 3s, you get rounded 31 minutes each.

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Answer:

x = 38

Step-by-step explanation:

180° - 142° = 38 °

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What is the value of 2/3(x-6)-Y when x = 9 and y = 5/6?

Answers

Replace x and y with the given values:

2/3(9-6) - 5/6

Simplify:

2/3(3) - 5/6

Multiply:

2 - 5/6

Subtract:

1 1/6

Answer 1 and 1/6

The required simplified value of 2/3(x-6)-Y when x = 9 and y = 5/6 is 7/6.

To find the value, substitute the given values of x and y into the expression:

2/3(x - 6) - y

= 2/3(9 - 6) - 5/6

= 2/3(3) - 5/6

= 2 - 5/6

To subtract fractions, you need a common denominator:

= 12/6 - 5/6

= 7/6

Therefore, the simplified value of 2/3(x-6)-Y when x = 9 and y = 5/6 is 7/6.

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Answers

Answer:

I think the answers are #4.A

#5.B

ORDER THE NUMBERS FROM GREATEST TO LEAST.

1. 7 ⁶/¹¹ , –7.6 , 7.34 (3&4 repeating), 7 ⁴/⁵

2. –10 ¹/⁵ , 10.19 , –10 ²/¹¹ , –10.20 (20 repeating)​

Answers

Answer:

1) 7 4/5, 7 6/11, 7.34, -7.6

2) 10.19, -10 2/11, -10 1/5, -10.202020

Step-by-step explanation:

1) 7 4/5, 7 6/11, 7.34, -7.6

2) 10.19, -10 2/11, -10 1/5, -10.202020

Solve the Expression
5-(2*8)+14=

Answers

Answer:

3

Step-by-step explanation:

5-(2*8)+14=

Parentheses first

5-16+14=

Then add and subtract from left to right

-11 +14

3

Determinen las medidas algebraicas necesarias para calcular el área del hexágono

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Step-by-step explanation:

A number p is greater than -3 and less than 4.

Answers

Answer:

- 3 < p < 4

Step-by-step explanation:

Given p is greater than - 3 then - 3 is less than p

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Answer:

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Answers

Answer:

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Step-by-step explanation:

2x=5-1

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

x = 7/2 = 3.500

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Step-by-step explanation:

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solve for x: 1/3(3x+6)+5x>20

Answers

Answer:

[tex]x > 3[/tex]

Step-by-step explanation:

[tex] \frac{1}{3} (3x + 6) + 5x > 20 \\ x + 2 + 5x > 20 \\ 6x + 2 > 20 \\ 6x > 18 \\ x > 3[/tex]

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