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xenn [34]
3 years ago
5

What is the slope of the line ?

Mathematics
1 answer:
svetlana [45]3 years ago
3 0

Answer:

y = -3x + 4

Step-by-step explanation:

y = 4, this is where your line intersects with the y axis.

x = 1 is where your line is on the x axis (you want to include the part of the line that hits a point straight on, not one that goes past it.) So when it lands on the corner of the grids like the 4 for the y axis does, that is the point you are going to use.

Rise/Run is then your equation, so since you go down 3 and over 1 (counting from your y axis point), your slope is -3/1 or -3.

Then goes your y axis, so the final equation is

y= -3x + 4

I hope this helped!

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An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number
vovikov84 [41]

Answer:

The number of key rings sold on a particular day when the total profit is $5,000 is 4,000 rings.

Step-by-step explanation:

The question is incomplete.

<em>An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by </em>

<em />P=n^2-2n-3<em />

<em>where n is the number of key rings in thousands.</em>

<em>Find the number of key rings sold on a particular day when the total profit is $5,000.</em>

<em />

We have the profit defined by a quadratic function.

We have to calculate n, for which the profit is $5,000.

P=n^2-2n-3=5\\\\n^2-2n-8=0

We have to calculate the roots of the polynomial we use the quadratic equation:

n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\n= \frac{-2\pm\sqrt{4-4*1*(-8)}}{2}= \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{36}}{2} =\frac{-2\pm6}{2} \\\\n_1=(-2-6)/2=-8/2=-4\\\\n_2=(-2+6)/2=4/2=2

n1 is not valid, as the amount of rings sold can not be negative.

Then, the solution is n=4 or 4,000 rings sold.

7 0
3 years ago
An item has a listed price of $80 . if the sales tax rate is 8% , how much is the sales tax (in dollars)?
Arlecino [84]
The sales tax is $6.40
8 0
3 years ago
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3 years ago
The train station clock runs too fast and gain 11 minutes every 3 days. How many minutes and seconds will it have gained at the
WARRIOR [948]
660sec in 3 days.
So 220sec per days
220•5= 1100
1100sec = 18min and 30 second.

Ans:
18min and 30 sec
5 0
3 years ago
A slide and its ladder form a right triangle with the ground, with the
zhuklara [117]

Answer:

15.6 ft

Step-by-step explanation:

Let's call

  • a: distance from the top of the ladder to the ground = 10 ft
  • b: distance from the bottom of the ladder to the bottom of the slide = 12 ft
  • c: length of the slide

From Pythagorean theorem:

c² = a² + b²

c = √(10² + 12²)

c = 15.6 ft

8 0
3 years ago
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