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Ipatiy [6.2K]
3 years ago
7

What is the slope of the line shown below?

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
6 0

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

\spadesuit\; Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}

Given Points are (-6 , 3) and (12 , 6)

here x₁ = -6 and x₂ = 12 and y₁ = 3 and y₂ = 6

\spadesuit\; Slope(m) = \frac{3 - 6}{-6 - 12} = \frac{-3}{-18} = \frac{1}{6}

C is the Answer

vaieri [72.5K]3 years ago
3 0
The answer is C. 1/6
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I need help. what's the answer and what do the exclamation points mean.
jeyben [28]
The exclamation points mean factorial which is when you multiply that number along with the numbers less than it. Ex: 4! = 4*3*2*1. To solve this, you must get those factorials and after you solve, you get 60480
3 0
3 years ago
Six Pepperidge Farm bagels were weighed, yielding the following data (grams):
ratelena [41]

Answer:

A) Average weight = 112.97

standard deviation = 3.913

B) 119.4069

Step-by-step explanation:

A) Estimate the true average weight and standard deviation of the weight

attached below is a detailed solution

Average weight = 112.97

standard deviation = 3.913

B) Assuming a normal distribution Estimate the weight below

attached below is a detailed solution

= 119.4069

6 0
3 years ago
Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the
Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

y=Ce^{kt}. We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is \frac{dy}{dt}. Thus, the change in the concentration of salt is found in

\frac{dy}{dt}= inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

3(\frac{y}{400})

Therefore,

\frac{dy}{dt}=0-3(\frac{y}{400}) or just

\frac{dy}{dt}=-\frac{3y}{400} and in terms of time,

-\frac{3t}{400}

Thus, our equation is

y=28e^{-\frac{3t}{400} and filling in 16 for the number of minutes in t:

y = 24.834 pounds of salt

6 0
3 years ago
Write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2
sergey [27]

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

\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond

         Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond

<u>Point-slope form</u>:-

      \sf{y-y_1=m(x-x_1)}

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

\sf{y-1=2(x-0)}

So we conclude that Option B is correct.

<h3>Good luck.</h3>

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

3 0
2 years ago
PLEASE HELP ME ASAP
4vir4ik [10]
Pretty sure it’s b, good luck
8 0
2 years ago
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