The slope of a line is 2 and the point (1, 1) lies on the line. What is the y-intercept of this line? (0, -1) (0, 5) (-2, 0)

Mathematics

1 answer:

artcher [175]3 years ago

4 0

Answer:

(0, -1)

Step-by-step explanation:

It's helpful if we think of slope in the context of rise over run.

Since the point (1, 1) lies on the line, because of the slope 2, if we subtract x by 1 to get to x = 0, then we'll be subtracting y by 2.

By that logic, the answer must be (0, -1).

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If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the n

Lilit [14]

Answer:

35.34 atoms will be present after 14,325 years.

Step-by-step explanation:

Given : Carbon-14 has a half-life of approximately 5,730 years. This exponential decay can be modeled with the function N(t) = N0. If an organism had 200 atoms of carbon-14 at death.

To find : How many atoms will be present after 14,325 years?

Solution :

The half-life exponential function modeled is $N=N_o(\frac{1}{2})^{\frac{t}{h}}$

Where, $N_o=200$ is the initial atoms

N is the total number of atoms.

t=14,325 years is the time

h=5,730 years is the half-life time

Substitute the value in the formula,

$N=200(\frac{1}{2})^{\frac{14325}{5730}}$

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$N=200(0.1767)$

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Therefore, 35.34 atoms will be present after 14,325 years.

3 0

3 years ago

Help me...................

ELEN [110]

The answer is F because the slope is 2 so the line must go like this /, not like this \. Because if the line is going like this \, that means that it is negative, and if the line is going like this / that means that it is positive. and the y-intercept is 1 so. F is the answer. :)

8 0

3 years ago

Find two numbers whose product is 110, and whose sum is 21.

shutvik [7]

Answer:

10 and 11

$10 \times 11 = 110$