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2 years ago

Which equation of a line is written in slope-intercept form?

Mathematics

2 answers:

lukranit [14]2 years ago

7 0

Answer:

it will look like y=mx+b

Step-by-step explanation:

maksim [4K]2 years ago

3 0

Answer:

y = mx+c

Step-by-step explanation:

Slope refers to measure of steepness of a line.

For a function of form f(x), slope is equal to f'(x) .

Intercepts:

x-intercept refers to a point at which the graph intersects the x-axis.

y-intercept refers to a point at which the graph intersects the y-axis.

If m is the slope of line and c is y-intercept then slope of line is $y=mx+c$

For example if slope of a line is 2 and y-intercept is 5 then equation of slope becomes $y=2x+5$

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Amy drove to her mother’s house, which is 204 miles away. If it took her 3 hours, what was her average speed?

disa [49]

Answer:

68 miles per hour. This is the right answer.

Step-by-step explanation:

7 0

2 years ago

My'chael has read 120 pages, which is 45% of a book. How many<br> pages are in the book?

Mars2501 [29]

Answer:

266.67

Step-by-step explanation:

120=.45(x)

x=266.67

7 0

2 years ago

A large tank is filled to capacity with 600 gallons of pure water. brine containing 4 pounds of salt per gallon is pumped into t

nignag [31]

If $A(t)$ is the amount of salt in the tank at time $t$ , then the rate at which the amount of salt in the tank changes is given by

$\dfrac{\mathrm dA(t)}{\mathrm dt}=\dfrac{4\text{ lbs}}{1\text{ gal}}\dfrac{6\text{ gal}}{1\text{ min}}-\dfrac{A(t)\text{ lbs}}{600\text{ gal}}\dfrac{6\text{ gal}}{1\text{ min}}$
$\dfrac{\mathrm dA}{\mathrm dt}=24\dfrac{\text{lb}}{\text{min}}-\dfrac{A(t)}{100}\dfrac{\text{lb}}{\text{min}}$

Let's drop the units for now. We have

$\dfrac{\mathrm dA(t)}{\mathrm dt}+\dfrac{A(t)}{100}=24$
$e^{t/100}\dfrac{\mathrm dA(t)}{\mathrm dt}+e^{t/100}\dfrac{A(t)}{100}=24e^{t/100}$
$\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/100}A(t)\right]=24e^{t/100}$
$e^{t/100}A(t)=\displaystyle24\int e^{t/100}\,\mathrm dt$
$e^{t/100}A(t)=2400e^{t/100}+C$
$A(t)=2400+Ce^{-t/100}$

We're given that the water is pure at the start, so $A(0)=0$ , giving

$A(0)=0=2400+Ce^{-0/100}\implies C=-2400$

So the amount of salt in the tank (in lbs) at time $t$ is

$A(t)=2400\left(1-e^{-t/100}\right)$

4 0

2 years ago

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approxi

Bingel [31]

{Answer:

3893 residents.

Step-by-step explanation:

Equation for population growth:

The equation for the size of a population, considering that it doubles every n years, is given by:

$A(t) = A(0)(3)^{(\frac{t}{n})}$