Write an equation of the line passing through the point (8,-5) that is parallel to the line 2x – 6y=-3.
y = mx + b

Write An Equation Of The Line Passing Through The Point (8,-5) That Is Parallel To The Line 2x 6y=-3.y

Answers

Answer 1

Answer:

y=[tex]\frac{1}{3}\\[/tex]x - [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

Ist put the first equation in y=mx+b form

2x-6y=-3

subtract 2x on both sides

2x-6y=-3

-2x    =-2x

-6y=-2x-3

then divide both sides by -6

-6y=-2x-3

-6

that gives y=[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex] for the original equation

Then plug in the point and slope in y=mx+b

Use the same slope since the lines are parallel

(-5)=([tex]\frac{1}{3}[/tex])(8)+b

-5=[tex]\frac{8}{3}[/tex]+b

then subtract 8/3 on both sides and that gives

-23/3 = b

then you can make the new equation using -23/3 for you b and 1/3 for your slop m


Related Questions

#18 Kerry has 4 goldfish
and 8 beta fish. What is the
ratio of beta fish to total
fish? Write the ratio 3 ways.

Answers

Answer:

1:2, 1 to 2, 1/2

Step-by-step explanation:

you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.

Answers

Answer: 12,201.90 dollars

You may need to delete the comma if you are entering this result into a computer system.

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

Work Shown:

P = 10,000 = deposit

r = 0.04 = decimal form of 4% interest rate

n = 4 = we're compounding 4 times a year

t = 5 years

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

A = P*(1+r/n)^(n*t) .... compound interest formula

A = 10,000*(1+0.04/4)^(4*5)

A = 12,201.9003994797

A = 12,201.90

After 5 years, there is $12,201.90 in the account.

This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.

Alice was rock climbing. She climbed to a height of 22 feet. Next, she descended 8 feet. Then, she ascended another 34 feet. What was
Alice's elevation?

Answers

Answer:

48 brainlest plz

Step-by-step explanation:

22-8=14

14+34=48

My question is

4(2 - W) + w = 20

Answers

Answer:

- 4

Step-by-step explanation:

Step 1:

4 ( 2 - w ) + w = 20           Equation

Step 2:

8 - 4w + w = 20       Multiply

Step 3:

8 - 3w = 20       Combine Like Terms

Step 4:

- 3w = 12     Subtract 8 on both sides

Answer:

w = - 4

Hope This Helps :)

Answer:

w = -4

Step-by-step explanation:

4(2 - W) + w = 20

Distribute:          

8 - 4w + w = 20

Subtract 8 from both sides:

-4w + w = 12

Simplify:

-3w = 12

Divide:

w = -4

Double check your work by substitution:

4(2 - W) + w = 20

4(2 - (-4)) + (-4) = 20

4(6) + (-4) = 20

24 + (-4)= 20

20 = 20

Since we know that 20 does equal 20, we can conclude that the final answer is:

w = -4

         

please help
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2

Answers

Answer:-1.2 Degree Fahrenheit.

Step-by-step explanation:

Since,

The average daily changes,   total changes/number of days

Here,

The total changes = - 16.8° F ( - sign shows the decreasing )

And, the number of days = 14

Hence,

⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.

-16.8 / 14 = - 1.2 per day

Find the equations of any horizontal tangents to the curve
y = x^3 - 3x ^2 - 9x + 2

Answers

Answers:

y = -25

y = 7

Step-by-step explanation:

Find the derivative of the function.

[tex]\frac{dy}{dx} y = 3x^2-6x-9[/tex]  

The zeros of the derivative are the local extrema (Maximum & Minimum)

[tex]0 = 3x^2-6x-9[/tex]

Take out the greatest common factor, 3, to get this equation:

[tex]0 = 3(x^2-2x-3)[/tex]

Factor out the brackets.

[tex]0 = 3(x - 3) ( x + 1 )[/tex]

You are left with two possible values for x:

x = 3

x = -1

By substituting each value into the original function [tex]y = x^3 - 3x^2 - 9x + 2[/tex], you get the equation of any horizontal tangents to the curve.

When x = 3:

[tex]y = (3)^3 - 3(3)^2 - 9(3) + 2 = -25[/tex]       Meaning y = -25

When x = -1:

[tex]y = (-1)^3 - 3(-1)^2 - 9(-1) + 2 = 7[/tex]    Meaning  y = 7

PLZ HURRY IT'S URGENT!!
What is the slope of the line?

x=−8
options:

undefined

-8

1

0

Answers

Answer:

im pretty sure it's -8

Answer:

undefined

Step-by-step explanation:

the line goes straight down

Which expression is equivalent to 8x - 12y + 32?
15 points!!!

Answers

Answer:

The third

Step-by-step explanation:

16( times) 0.5x= 8x

16 ( times) -0.75= -12y

16(times) 2= 32

The rest are either above or bellow the expression given.

Answer:

the answer is -0.75y+2)=8x

f(x) = -x^2 + 9x +4
Find f(-8)​

Answers

Answer:-132

Step-by-step explanation:

I tried and couldn't get it can someone help me out

Answers

Answer:

I think it would be B)

Step-by-step explanation:

This problem seems badly worded and/or vague.

It looks like you plugged x = 3 into the inverse [tex]f^{-1}(x)[/tex] function to get 3 as the output, which is correct.

However it seems like your teacher wants you to find the (x,y) point on f(x). This means s/he is asking "what x value will get us y = 10?" As you found through working with the inverse, the x value x = 3 does that.

We can see it as such

f(x) = 3x+1

f(3) = 3*3+1

f(3) = 10

So in a sense, you were working backwards.

The point (3,10) is on the graph of f(x)

While the point (10,3) is on the graph of [tex]f^{-1}(x)[/tex]

It's likely your teacher wants you to select choice C

A shoe company distributed 4,528 boxes of shoes equally among 4 different stores. How many boxes of shoes did each store receive?

Answers

Answer:

1,132

Step-by-step explanation:

4,528÷4=1,132ooooo

57.99 The 9 in the hundredths place is _______ the value of the 9 in the tenths place.

Answers

Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.

Step-by-step explanation:

Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.

Answer:

1/10th

Step-by-step explanation:

The equation of a lone is 3/5x + 1/3y = 1/15

Answers

Answer:

Step-by-step explanation:

x intercept is where the line is crossing the x axis or where y=0

y intercept is where the line crosses the y axis or where x=0

to find them, set other ting to zero

3/5x+1/3y=1/15

xintercept, set y=0

3/5x+1/3(0)=1/15

3/5x+0=1/15

3/5x=1/15

times 5/3 both sides

x=1/9

xintercept is x=1/9

yintercet

set x=0

3/5(0)+1/3y=1/15

0+1/3y=1/15

1/3y=1/15

times 3/1 both sides

y=1/5

yintercept is y=1/5

xint is x=1/9

yint is y=1/5

Use synthetic division to find f(2)

f(x) = 2x3 –3x²+7X-12​

Answers

Step by Step Solution:

More Icon

STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

1 result(s) found

x  

2

−x−3

An integer divided by an integer is an integer

Answers

Answer:

an integer divided by an integer will always result in a fraction- therefore, the resultant number will not be an irrational number and there will always be either a repeated pattern or a single set of decimal points. Take for example 3/4= 0.75. As you can see the number is a rational number that is real.

Step-by-step explanation:

An integer divided by an integer is sometimes not an integer.

VODY VON
Dom
18. Mr. Cook's class has a female student to male student ratio of 3:2. If Mr. 5 points
Cook's class has 18 girls, how many boys does he have?
17 boys
5 boys
12 boys
16 boys

Answers

12 boys is the answer.

If 12 roses cost 30.4 how much will 18 roses cost?

Answers

Answer:

45.6

Step-by-step explanation:

We can write a proportion to solve

12 roses     18 roses

------------ = -----------

30.4            x

Using cross products

12x = 30.4 * 18

12x=547.2

Divide each side by 12

12x/12 = 547.2/12

x = 45.6

Ryan, a baker, measured the weights of cakes baked in each batch at his bakery and found that the mean weight of each cake is 500 grams. He performed a hypothesis test to find the mean weight of each cake by setting H subscript 0 equals 500 and H subscript a less than 500. Select the statement that indicates a Type I error.

a) Rejecting the mean weight of each cake as 500 grams when H subscript 0 equals 500.

b) Rejecting the mean weight of each cake as 500 grams when H subscript 0 less than 500.

c) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 equals 500.

d) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 less than 500.

Answers

Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500

Step-by-step explanation:

Given that :

Null hypothesis : H0 =500

Alternative hypothesis : Ha < 500

Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.

Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.

Answer: A) Rejecting the mean weight of each cake as 500 grams when H₀ = 500.

Step-by-step explanation:

Type I error is when we incorrectly reject a true null hypothesis

What is the end behavior of the graph? *

The graph decreases as x goes to -infinity and increases as x goes to infinity
The graph increases as x goes to -infinity and increases as x goes to infinity
The graph decreases as x goes to -infinity and decreases as x goes to infinity
The graph increases as x goes to -infinity and decreases as x goes to infinity

Answers

Answer D: The graph increases as x goes to -infinity and decreases as x goes to infinity
The answer Is D!

Explanation:
That was right for me

Alexia had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Alexia have left in her account on Thursday?

Answers

Answer:$80.45=Monday $20.50=Tuesday$37.25=Wednesday ..................=Thursday $80.45+$20.50

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

$100.95

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

$100.95-$37.25-----------$63.70-----------She has $63.70 left on Thursday

Two shooters, Rodney and Philip, practice at a shooting range. They fire 100 rounds each at separate targets. The targets are marked with circles and each bullet hitting a particular circle gets them a particular number of points. 60 rounds are selected at random. The sample mean scores of Rodney and Philip are 8 and 10, respectively. And, their variances are 0.25 and 0.50, respectively The standard error of the difference between their mean scores is ______________ (Round your answer to two decimal places.) The 95% confidence interval for the difference between the mean scores Rodney and Philip is ________ _____________: (Enter a minus sign if your answer is negative. Round your answer to two decimal places.)

Answers

Answer:

A) SE = 0.1118

B) 95% Confidence interval is;

-2.22 < μ1 - μ2 < -1.78

Step-by-step explanation:

We are given;

Sample size; n = 60

Sample mean 1; x1 = 8

Sample mean 2; x2 = 10

Variance 1; v1 = 0.25

Variance 2; V2 = 0.5

Now,

Standard deviation is given by the formula ;

σ = √variance

Thus;

σ1 = √0.25

σ1 = 0.5

σ2 = √0.5

σ2 = 0.7071

Formula for standard error of mean is;

SE = σ/√n

Thus;

SE1 = 0.5/√60

SE1 = 0.06455

SE2 = 0.7071/√60

SE2 = 0.0913

The standard error of the difference between their mean scores would be;

SE = √[(SE1)² + (SE2)²]

SE = √(0.06455² + 0.0913²)

SE = 0.1118

Formula for 95% confidence interval is;

(x1 - x2) - ((Z_α/2) × SE) < μ1 - μ2 < (x1 - x2) + ((Z_α/2) × SE)

Where Z_α/2 is the critical value. At confidence interval of 95%, we have a critical value of 1.96 from tables.

Thus, plugging in the relevant values, we have;

(8 - 10) - (1.96 × 0.1118) < μ1 - μ2 < (8 - 10) + (1.96 × 0.1118)

-2.22 < μ1 - μ2 < -1.78

helppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

8.40049 × 10^7

Step-by-step explanation:

An electrician needs to buy 600 centimeters of electrical tape. How many rolls of tape should
the electrician order if there are 200 centimeters of tape on each roll?

Answers

Answer:

3 rolls of tape

Step-by-step explanation:

600 diveded by 200 is 3

ASAP Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27. What did he write? please show your work YOU CAN GET BRAINLIEST

Answers

Answer: its 3( 15+9 ) or 9( 5+3 ) go with your gut im srry if im wrong

Step-by-step explanation:

Daichi wo fumishimete

Kimi wa mezameteiku

Rewrite the expression by factoring out (w-7).
3w2(w– 7) - 5(w-7)

Answers

(W-7)(3w^2-5)
I think this is what they mean by factoring it out

A line with slope -3 passes through the points (5,2) and (9,y). Find y. (and yes I know this is a repost but the other one was wrong its not y=5)

Answers

9514 1404 393

Answer:

  y = -10

Step-by-step explanation:

Using the point-slope form of the equation for a line, we can write the equation as ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -2 = -3(x -5)

Using the values for the other point, this becomes ...

  y -2 = -3(9 -5)

  y = -3(4) +2

  y = -10

A line has a slope of 9 what is the slope of a line it is parallel to this line? *

9
-9
1/9
-1/9

Answers

Answer: 9

Step-by-step explanation: Parallel lines have the same slope.

So a line parallel to this would also have 9 as its slope.

Sherry is paid an annual salary of $26,000 biweekly. Her friend Donna makes the same salary but is paid quarterly. How much more money does one of Donna's checks have than Sherry's.

Answers

Answer:

5000

Step-by-step explanation:

Assuming they both work 365days

roughly 52 weeks

number of time sherry is paid per year = [tex]\frac{52}{2} = 26[/tex]

because she is paid every two weeks

number of time donna is paid per year = [tex]4[/tex]

because she is paid 4 times a year (quarterly)

let s =  amount sherry is paid biweekly

let d = amount donna is paid quarterly

[tex]s = \frac{26000}{26} = 1000\\\\d = \frac{26000}{4} = 6500\\\\difference = 65000 - 1000 = 5000\\[/tex]

Answer:

5500

Step-by-step explanation:

Joanna, Dana, and Tracy shared some trail mix. Joanna ate 0.125 pound of trail mix, Dana ate 0.1 pound, and Tracy ate 0.12 pound of trail mix. Which lists the friends in order from least to greatest amount of trail mix eaten? ​

Answers

Answer:

Dana, Tracy, Joanna

Step-by-step explanation:

Dana ate 0.1 pound wich is 0.1000. Tracy ate 0.12 which is 0.12000. Joanna ate 0.125 which is 0.12500

Hope this helped :)

Which expression is equivalent to 3
10?
No answer text provided.
logio 3
log: 10 =
log, 3 = 10

Answers

Answer:

log,3=10

Step-by-step explanation:

hii and good morning

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