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3 years ago

Write the equation of the line that passes through the points (-2,1) and (0,8)

Mathematics

2 answers:

Sergio039 [100]3 years ago

3 0

Free points o know I’m an a hole

Harrizon [31]3 years ago

3 0

Answer:

The equation of the line is y = 7/2x + 8

Step-by-step explanation:

The equation of the line is in the form y = mx + b, where m is the slope and b is the y-intercept. To find m, you just have to subtract the two points from each other.

$\frac{8 - 1}{0 - (-2)}$ = 7/2

The y - intercept always has an x-value of 0, so the y-intercept would be 8.

So, the equation is y = 7/2x + 8

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

Step-by-step explanation:

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$

4 0

3 years ago

A birthday cake is shaped like a square. The area of the square is 64

anastassius [24]

Answer:

8 square inches. You find area by length x height. A square's sides are all of equal length. So what number x itself is 64? The answer is 8 because 8 x 8 equals 64.

3 0

3 years ago

Jill traveled to Canada and bought a new lamp for $460 Canadian dollars. In U.S. dollars (to the nearest cent) this is equivalen

Stels [109]

This is approx $400 in US dollars when comparing 460 Canadian dollars

5 0

3 years ago

Read 2 more answers

Solve the equation 4x-2(x+3)=8

sammy [17]

Answer:

4x-2x-6=8

2x-6=8

2x=8+6

2x=14

x= 14/2

x= 7

3 0

3 years ago

Read 2 more answers

A local water company charges a flat fee of $5 per month, plus $0.0007 per gallons, and $0.0009 per gallon for every gallon for

cestrela7 [59]

Answer:

Total cost= $51

Step-by-step explanation:

Giving the following information:

Fixed cost= $5

From 0 to 40,000 gallons= $0.0007 per gallon

From 40,001 to infinity= $0.0009

We need to calculate the total cost for 60,000 gallons:

Total cost= 5 + 40,000*0.0007 + 20,000*0.0009

Total cost= $51

7 0

3 years ago