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2 years ago

Solve the inequality. -7/8 < m - 13/8

Mathematics

1 answer:

Ad libitum [116K]2 years ago

8 0

Answer:

m>3/4

Step-by-step explanation:

Add -13/8 to both sides:

6/8<m

Simplify:

m>3/4

You might be interested in

If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours

Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

$P(t)=P_0e^{kt}$

Where, $P_0$ is the initial value, k is the growth constant and t is the number of years.

Putting $P(t)=15000,P_0=3000, k=2.8$ in the above formula, we get

$15000=3000e^{2.8t}$

$\dfrac{15000}{3000}=e^{2.8t}$

$5=e^{2.8t}$

Taking ln on both sides, we get

$\ln 5=\ln e^{2.8t}$

$1.609438=2.8t$ $[\because \ln e^x=x]$

$\dfrac{1.609438}{2.8}=t$

$0.574799=t$

$t\approx 0.575$

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

4 0

2 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!ASAP

diamong [38]

The ordered pair of the given equation will be ( 3, 6 ) and ( -3, 18).

<h3>What is a function?</h3>

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given functions are:-

F(x) =x²-2x+3

F(x) = -2x + 12

When we plot the graph of the function we will see that the line -2x +12 cut the parabola at points ( -3, 18 ) and ( 3, 6 ) so these are the ordered pairs of the two functions. The graph of the functions is also attached with the answer.

To know more about function follow

brainly.com/question/25638609

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