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Vlada [557]
2 years ago
7

5. Use the point-slope formula to determine the equation of a line that passes through the points (1, 2) and (-2, 1).

Mathematics
1 answer:
Travka [436]2 years ago
3 0

Answer:

In point-slope form the equation is:

y - 2 =  \binom{1}{3}  \times (x - 1)

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a bacteria triples it’s original population in 25 hours (A=3A0). How big will it’s population be in 100 hours
Maru [420]

Answer:

81 times the original size

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

7 0
2 years ago
Spencer and Hanna buy a pizza for $18 that is half pepperoni and half veggie. They cut the pizza into 8 slices.
Masja [62]

Answer:

they needa buy me a beer

Step-by-step explanation:

7 0
2 years ago
Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Darya [45]

Answer:

y intercept: (0,-13)

x intercept: (13/5, 0)

Step-by-step explanation:

To find the y intercept, x has to equal zero. So, plug it in. The equation becomes y=-13.

Since x is zero, the point becomes (0,-13)

To find the x intercpet, y has to equal zero. So, plug it in. The equation becomes 0=5x-13.

move 13 to the other side

13=5x

divide by 5

13/5=x

Since y is zero, the point becomes (13/5,0)

hope this helps!

6 0
2 years ago
1.Points A and B are to be mapped onto a number line according to two equations. The solution to the equation is the coordinate
ohaa [14]
.Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a)Write an equation that could be used to solve for Kim’s age, x. (b)How old is Kim? (c)How old is Jordan? Answer:

Kim = x
Jordan = x + 7

4(x+7) = 200
4x + 28 = 200
4x = 200 - 28
4x = 172
x = 172/4
x = 43. Kim's age

Jordan: x + 7 → 43+7 = 50
5 0
3 years ago
Read 2 more answers
What is the value of x?
Anastaziya [24]

Answer: 5

Step-by-step explanation:

7 0
2 years ago
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