A line passes through the point (0-4) and has a slope of 3/2
What is the equation of the line?
A. 3x – 2y = 8
B. 6x+4y=-8
C. 2x+4y=-1
D. 3x – 2y = 8

Answers

Answer 1

Answer:

y = 3/2 - 4

A. is the answer

A. 3x – 2y = 8

Step-by-step explanation:

3x – 2y = 8

-2y =8 - 3x

y = - 4 + 3/2x

y= 3/2x - 4

Answer 2

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] and c = - 4 , then

y = [tex]\frac{3}{2}[/tex] x - 4 ← equation in slope- intercept form

Multiply through by 2 to clear the fraction

2y = 3x - 8 ( subtract 2y from both sides )

0 = 3x - 2y - 8 ( add 8 to both sides )

8 = 3x - 2y , that is

3x - 2y = 8 ← in standard form → D


Related Questions

A special blend of wild birds because 16.99 for 20 pounds to the nearest penny how much will 50 pounds cost

Answers

Answer:

42.475; approximately (42.48)

Step-by-step explanation:

So, first you would need to divide 16.99 by the 20 pounds and then multiply that by the 50 pounds which should give you your total answer. it should look like this:

16.99 divided  by 20= 0.8495

0.8495 times 50= 42.475; approximately (42.48)

Hope this helps you out!!! :)

Mike has a total of 1371 coins in his piggy bank if the total value of his coins is $230.25 and make it only has dimes and quarters how many more times than quarters does Mike have

Answers

Answer:129

Step-by-step explanation:(621 x 0.25) + (750 x 0.10) = 230.25

750 - 621 = 129 more dimes than quarters

The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?

A. 1994–1995

B. 1997–1998

C. 1998–1999

D. 1999–2000

Answers

The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

Given that

In 1994-1995, the median income is 37,500 and 38,500.In 1997-1998, the median income is 39,700 and 41,000.In 1998-1999, the median income is 41,000 and 42,200.In 1999-2000, the median income is 42,500 and its less.

So after analysis, we can conclude that The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

Learn more about the bar graph here: brainly.com/question/14894834

if cos7x-cos8x/1+2cos5x=cos(ax)-cos(bx),where a,b are positive integers, then a²+b²=??

pls help! :(​

Answers

Step-by-step explanation:

[tex]hope \: its \: helful[/tex]

if cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx), where a, b are positive integers, then a²+b²= 100.

The given equation is:

cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx)

The LHS can be expanded as follows:

cos7x - cos8x/1 + 2cos5x = (2*cos4x*sin3x)/(2*cos2x) = sin3x

The RHS can be expanded as follows:

cos(ax) - cos(bx) = -2sin((a + b)/2)*sin((a - b)/2)

For the given equation to be true, the following must be true:

sin3x = -2sin((a + b)/2)*sin((a - b)/2)

3x = 180(a + b)/2

3x = 180(a - b)/2

Solving for a and b, we get a=6 and b=3.

Therefore, a² + b² = 6² + 3²=100.

To learn more about positive integers, here

https://brainly.com/question/26051073

#SPJ2

can somebody please help meee??

Answers

Answer: d. He multiplied when he was supposed to divide

Step-by-step explanation:

He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)

24 cars pass through an intersection each minute while the traffic light is green. In addition, 6 cars pass through the intersection
while the light is yellow. If 84 cars pass through
the intersection during one light cycle (one green light and one yellow light), how long was the green light?

Answers

Answer:

3.25 minutes

Step-by-step explanation:

3.25 minutes per green light x 24 = 78

the yellow light is a given, hence 6 cars pass through

78 + 6 = 84 cars

can you guys please help me



Answers

Answer:

x^2 - 9

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

x^2 - 4

Step-by-step explanation:

x+3        x-3

------ * -----------

x+2       x-2

Notice that the numerator is the difference of squares and the denominator is the difference of squares

(a+b)(a-b) = a^2 - b^2

(x^2 - 3^2)

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

x^2 - 2^2

x^2 - 9

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

x^2 - 4

Answer:

A...

the parts of theis problem are "special factors" or conjugates

(a+b) (a-b) = a^2 - b^2

you have two of those (x+3)(x-3) = x^2-9

and (x+2)(x-2) = x^2 -4

Step-by-step explanation:

Tìm giá trị lớn nhất giá trị nhỏ nhất
Cos(x+π/3)+ cos(x-π/3)

Answers

Answer:

GTLN : 1  GTNN: -1

Step-by-step explanation:

Ta có:

[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]

mà [tex]-1\leq cosx \leq 1[/tex]

Nên Max [tex]y=1[/tex]  , [tex]x[/tex] ∈ [tex]R[/tex]

       Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]

What is the volume of the rectangular prism in simplest terms?

Answers

Answer:

V=w*h*l

Step-by-step explanation:

w=width

h=height

l=length

volume = w*h*l

volume = w*h*l

volume = w*h*l

Please help Im confused and I need this to be done ASAP what is the range

Answers

Answer:

All Real Number greater than 0 or

(0, positive infinity)

Step-by-step explanation:

The range is all possible y values of a function. We can tell a range by looking at the lowest y vaule then going to the highest possible y value.

Look at the graph. There is a open circle at y=0. So this means we are not going to include 0 in our function. The graph approaches f(x) to positive Infinity so our highest y value is Infinity.

So we know that the function y values cannot be zero and it must be positive. So our range is

All Real Number greater than 0. Or

(0, positive infinity)

Check the attached image

Answers

Answer:

B

Step-by-step explanation:

Note: This doesn’t go to all systems of equation
++++++++++++++++++++++++++++++++++

Here we are given a graph where there’s basically a inequality and we are trying to find out: “Which point is a solution to the inequality?”

Answer + explanation:

Answer: O B. (0, 5)

It would be (0, 5)

Explanation:

Any point inside the shaded area of the inequality would be a solution to the system of equation

Note: The type of inequality that we are taking a look at is a dash line

What do I mean by that? That any point that is in the dash CANNOT be a solution

Therefore our answer is B

help me please !! find the domain and range of the function represented by the graph. determine wether the domain is discrete or continuous.

Answers

Answer:

Domain is the whole R and the range is R+. The domain is continuous

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Paula ran a total of 12 miles over the course of 2 track practices. What is the unit rate?
A. 6 miles
B. 6 miles per practice
C. 4 miles per practice
D. 10 miles per practice

Answers

Answer:

B. 6 miles per practice

Step-by-step explanation:

12 miles over the course of 2 track practices divided by 2  

12/2 = 6

6 miles per one track practice

Simplify the following expression: 7(5 + 3) + 2ˆ4

Answers

Answer:

72

Step-by-step explanation:

7(5 + 3) + 2ˆ4

P ()

E ^

M *

D /

A +

S -

7(8) + 16

= 72

Hey there!

7(5 + 3) + 2^4

5 + 3 = 8

= 7(8) + 2^4

2^4

= 2 * 2 * 2 * 2

= 4 * 4

= 16

= 7(8) + 16

7(8) = 56

= 56 + 16

= 72

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

PLEASE HELP!!
Find an equation in general form for the straight line that passes through the point (-1.4) and is
perpendicular to the line 2x + 3y = 6

Answers

9514 1404 393

Answer:

  3x -2y +11 = 0

Step-by-step explanation:

The equation of the line perpendicular to ax+by=c through point (h, k) can be written as ...

  b(x -h) -a(y -k) = 0

Simplifying this will put it in general form.

__

You have a=2, b=3, (h, k) = (-1, 4), so your equation is ...

  3(x +1) -2(y -4) = 0 . . . . fill in the values

  3x -2y +11 = 0 . . . . . . . simplify

2.59 is greater or less than 2.684

Answers

Answer:

Less than.

Step-by-step explanation:

2.59 is less than 2.684 by 0.094

2.59 < 2.684

~

Answer:

Less than

Step-by-step explanation:

2.59 is smaller than 2.684 because the first number (the tenth) is bigger than the other first number (2.59) so it should be bigger.

What is the greatest common factor of 30, 45, and 90?

Answers

Answer:

15

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 15.

If i have 30 Apples I Give 12 to My Friend And She Gives 7 to Her Grandma How Much Would I Have?

Answers

18 apples since YOU only gave 12 away

A kiddie pool holds 161 gallons of water. One hose can fill the pool in 3 hours while an-
other takes only 2 hours. How long will it take for the pool to be filled if both hoses are
used?

Answers

The first hose pumps out water at a rate of

(161 gal)/(3 h) = 161/3 gal/h

The second hose fills the pool at a rate of

(161 gal)/(2 h) = 161/2 gal/h

Working together, they can fill the pool at a rate of

(161/3 + 161/2) gal/h = 805/6 gal/h

so that it would take

(161 gal) / (805/6 gal/h) = 161×6/805 h = 6/5 h = 1.2 h = 1 h 12 min

to fill the pool.

6 less than twice a number

Answers

Answer:

6-2x

Step-by-step explanation:

six less than (subtraction) twice a number. 2 times a number x

Choose the composition of translations that maps the image ΔPQR onto ΔP′Q′R′.

Question 4 options:

(x,y) → (x + 6,y + 3)


(x,y) → (x – 6,y – 3)


(x,y) → (x + 6,y – 3)


(x,y) → (x – 6,y + 3)

Answers

Answer:

(x , y )  ---> (x + 6 , y - 3)

Step-by-step explanation:

(x , y )  ---> (x + 6 , y - 3)

P(-1 , 4) -----> P'(-1+6 , 4-3) = P'(5,1)

Comapre P and P' x-coordinate

         -1 + a = 5

                a = 5 +1 = 6

Q(-1, 2) ----->Q'(-1+6 , 2 -3)= Q'(5, -1)

R(3 , 1) ------> R'(3+6 , 1-3)  = R'(9,-2)

An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that​ explanation? A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and​ white, but the results cannot be used to verify the cause of such a difference. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. D. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and​ white, but the results are not statistically significant enough to verify the cause of such a difference.

Answers

Answer:

No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference.  

Hence the correct option is option A.

Please see picture for question.

Answers

Answer:

7

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7 ^ 1/5 ^ 5

7^ (1/5*5)

7^1

7

Please help i do not understand this question!

Answers

Answer:

Distributive property

Step-by-step explanation:

The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.


Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term
is 54.

Answers

Answer:

10 and 4

Step-by-step explanation:

The first term is a, common difference is d.

The 6th term:

a + 5d = 30

The 12th term:

a + 11d = 54

Solve the system by elimination:

11d - 5d = 54 - 306d = 24d = 4

Find a:

a + 5*4 = 30a + 20 = 30a = 10

Answer:

Given :-

6th term = 30

12th term = 54

To Find :-

First term

Common difference

Solution :-

We know that

[tex] \sf \: a_{n} = a + (n - 1)d[/tex]

For 6th term

[tex] \sf \: 30 = a + (6 - 1)d[/tex]

[tex] \sf \: 30 = a + 5d[/tex]

For 12th term

[tex]\sf \: a_{n} = a + (n - 1)d[/tex]

[tex] \sf \: 54 = a + (12 - 1)d[/tex]

[tex] \sf \: 54 = a + 11d[/tex]

On subtracting both

[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]

[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]

[tex] \sf \: 24 = 6d[/tex]

[tex] \sf \: \dfrac{24}{6} = d[/tex]

[tex] \sf \: 4 = d[/tex]

Now

Using 2

[tex] \sf \: 54 = a + 11d[/tex]

[tex] \sf \: 54 = a + 11(4)[/tex]

[tex] \sf \: 54 = a + 44[/tex]

[tex] \sf \: 54 - 44 = a[/tex]

[tex] \sf \: 10 = a[/tex]

___________probabilities
are always the same given
the same total number of
trials.
A. Calculated
B. Experimental
C. Determined
D. Theoretical

Answers

Answer:

Determined

Step-by-step explanation:

Determined

3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?

Answers

ll,,Step-by-step explanation:

Are the ratios 1:2 and 13:18 equivalent?

Answers

Answer:

No.

Step-by-step explanation:

If I multiplied 2 by 9 to get 18, I would have to do the same to the 1. This would make the ratio 9:18, not 13:18.

Therefore, these two ratios are not equivalent.

Answer:

123456789101112131415161718192021222324252627282930

HELP PLSSSSSSSSS i really need it right now

Answers

Step-by-step explanation:

A1= 3.5×9=31.5

A2=2×2=4

A3=(1/2) × 5×2=5

A4= (1/2)×2×2=2

At=A1+A2+A3+A4

At= 31.5+4+5+2

At=42.5

532 - 308 is the same as blank - 300

Answers

Answer:

524

Step-by-step explanation:

First find the number we want to find

532 - 308 = 224

Set blank -300 equal to the number

blank - 300 = 224

Add 300 to each side

blank -300+300 = 224+300

blank = 524

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