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BaLLatris [955]
3 years ago
9

What is an equation of a line that has a slope of 4 and a y intercept of -6

Mathematics
2 answers:
Nitella [24]3 years ago
7 0

Answer:

Y = 4x - 6

Step-by-step explanation:

you have the standard slope equation:

Y = mx + b

all you have to do is plug the numbers given into the equation

svlad2 [7]3 years ago
3 0

Answer:

y = 4x -6

Step-by-step explanation:

The equation of a line is given by

y = mx +b where m is the slope and b is the y intercept

y = 4x -6

You might be interested in
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in. Find
mr Goodwill [35]

Answer:

The volume in such a package is 27648 in³

Step-by-step explanation:

Consider the provided information.

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.

Let the dimension are x by x by y.

Where x is the variable for the square base package and y is the variable for length.

Thus l=x, b=x and h=y

Then the volume of the box is: V(x)=x^2y (∵V=lbh)

The maximum combined length and girth is 144.

Therefore, 4x+y=144

y=144-4x

Substitute the value of y in volume of the box.

V(x)=x^2(144-4x)

V(x)=144x^2-4x^3

V'(x)=288x-12x^2

Substitute V'(x)=0.

0=288x-12x^2

12x(24-x)=0

x=0\ or\ x=24

Now apply second derivative test.

V''(x)=288-24x

V''(0)=288-24(0)>0 (Min)

V''(24)=288-24(24) (Max)

Hence, the maximum volume is at x=24

If x=24 then y=144-4(24)=48

Substituting value of x = 24 and y = 48 V(x)=x^2y gives 27648.

Hence, the volume in such a package is 27648 in³

5 0
3 years ago
Yuki bought a dress on sale for $72. The sale price was 60% of the original price. What was the original price of the dress?
Ronch [10]

The original price would be 43.20.

6 0
3 years ago
Read 2 more answers
Tiffany earns an annual income of $55,000. After she pays taxes, her take home pay is $41,800. What
SVETLANKA909090 [29]

Answer:

24%

Step-by-step explanation:

Taxes

t = 55000 - 41800

t = 13200

% tax

p = 13200/55000 * 100

p = 24%

5 0
2 years ago
In 2015, Ed spent $800 buying lunches. In 2017, he spent $550 buying lunches. What was the rate of change from 2015 to
marta [7]

9514 1404 393

Answer:

  $125 per year

Step-by-step explanation:

In the 2 years from 2015 to 2017, the spending on lunches increased by ...

  $800 -550 = $250

That is an average per year of ...

  $250/(2 yr) = $125/yr . . . . average dollar increase per year

_____

<em>Additional comment</em>

For costs, it is often true that they follow an exponential curve, not a linear one. Ed's spending increased by a factor of 800/550 = 16/11 in the two years, so an average percentage increase of √(16/11) -1 = 20.6% per year.

7 0
3 years ago
Perform the operation given that a = {−3, −2, −1, 0, 1, 2, 3}, b = {−4, −2, 0, 2, 4}, and c = {0, 1, 2, 3, 4}. (enter your answe
Ludmilka [50]
A ∩ c={0,1,2,3}

b ∪ (a ∩ c)={-4,-2,0,1,2,3,4}
7 0
3 years ago
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