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Allushta [10]
3 years ago
9

Please help me out!

Mathematics
1 answer:
RideAnS [48]3 years ago
5 0
The equation in slope intercept form is given by;

y = mx + c
Where m is the slope, given by;

m =  \frac{5 -  - 10}{6 - 3}
m =  \frac{5 + 10}{6 - 3}
m =  \frac{15}{3}  = 5
We substitute the value of m into the equation to obtain;

y = 5x + c
We find c by substituting any of the points,

5= 5(6) + c
5 = 30 + c
c =  - 25
This implies the equation in slope intercept form is;

y = 5x - 25
The correct answer is D.
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OleMash [197]
A line through a scatter plot of data points that best expresses the relationship between those points.
7 0
3 years ago
The rate of change of the volume of a snowball that is melting is proportional to the surface area of the snowball. Suppose the
Alisiya [41]

Answer:

According to the passage, we have the next equation:

\frac{dV}{dt} = \frac{4}{3}\pi*3*r^{2}*\frac{dr}{dt} = K*(4\pi*r^{2} )

where "K" is a proportional constant

Leaving at the end with the next equation:

\frac{dr}{dt} = K

Integrating the equation, we have:

r=K*t+C

where "C" is a constant

Then, we have the 2 conditions for the problem:

1) t=0 → r=10

Replacing in the equation, we have C = 10

2) t=5 → r=8

Replacing in the equation, we have K = -0.4

Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation

0=-0.4*t+10

t = 25 minutes

6 0
3 years ago
The graph of f(x) is shown. Estimate f(–3).
Aneli [31]

You have to look for -3 on the x axis, and then proceed vertically (in this case upwards) until you meet the graph.

We land about 1/2 square above the 12 mark on the y axis. Since one square is 1/2 unit, a half square would be 1/4 unit.

So, we can estimate f(-3)\approx 12.25

7 0
3 years ago
A full crate holds 24 bottles.<br> A farmer has 53 full crates.<br> How many bottles is this?
devlian [24]

Answer:

the correct answer is 1,272 bottles

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
How can you tell if the slope of a tangent line belongs to a certain interval?
Mila [183]

The slope of the function is given by its derivative. You want to find the values of x such that the derivative is between -1 and 1.

... f'(x) = 0.4x +5

... -1 < 0.4x +5 < 1 . . . . . your requirement for slope

... -6 < 0.4x < -4 . . . . . . subtract 5

... -15 < x < -10 . . . . . . . multiply by 2.5


Any value of x that is between -15 and -10 will be one where the tangent line has a slope between -1 and 1.


_____

The graph shows tangent lines with slopes of -1 and +1. You can see that the slope of the graph of f(x) is between those values when x is between the tangent points.

5 0
3 years ago
Read 2 more answers
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