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3 years ago

Find the equation of a line passing through the point (1, 1) and having a slope of 3.

Mathematics

1 answer:

maks197457 [2]3 years ago

5 0

Given:

The equation of the line passes through the point (1,1) and having a slope of 3.

We need to determine the equation of the line.

Equation of the line:

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (1,1) and the slope m = 3 in the above formula, we get;

$y-1=3(x-1)$

Simplifying the terms, we get;

$y-1=3x-3$

Adding both sides of the equation by 1, we get;

$y=3x-2$

Thus, the equation of the line is $y=3x-2$

Hence, Option C is the correct answer.

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Three financial institutions, A,B,C, are offering different rates on a loan. Is a offer 3.15 % annual compounded monthly, B offe

coldgirl [10]

Answer:

Step-by-step explanation:

Given that interest rates are as follows:

Let P be 100 dollars for each.

A) 3.15% compounded monthly.

Hence amount = $100(1+\frac{3.15}{1200} )^{12}$

Final amount = 103.20 dollars

B) 2.25% compounded quarterly

Final amt. = $100(1+\frac{2.25}{400} )^4$

=102.27

C) 2.05% compounded daily

Amount = $100(1+\frac{2.05}{36500} )^{365}$

=102.07

Obviously A is the best deal.

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3 years ago

Write the explicit formula for the geometric sequence below. 6,30,150,175

yawa3891 [41]

Answer:

Well it's 5x

Step-by-step explanation:

Idk why the answer's so complicated.

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3 years ago

A person who weighs 100 pounds on Earth weighs 16.6 lb. on the moon.

mario62 [17]

Answer:

See explanation below.

Step-by-step explanation:

Given: 100 lbs on Earth is 16.6 lbs on the moon.

a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.

b. An equation that relates the weight of someone on the Moon who travels to the Earth:

100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:

Moon Weight * 6.02 = Earth Weight.

Proof:

16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.

c. A 185 lb astronaut on Earth would weigh:

16.6 / 100 = .166. Take the Earth weight and multiply by .166:

185 * .166 = 30 lbs on the Moon.

d. A person who weighs 50 lbs on the Moon:

50 * 6.024 = 301.2 lbs on Earth.

Hope this helps! Have an Awesome Day! :-)

6 0

3 years ago

An escalator lifts people to the second floor of a building 25 feet above the first floor. The escalator rises at a 30 degree an

ch4aika [34]

9514 1404 393

Answer:

50 ft

Step-by-step explanation:

The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.

In this geometry, that means the length of the escalator is 2 times its height, so is ...

x = 2(25 ft)

x = 50 ft . . . . . distance a person travels

7 0

3 years ago

Which points are on the graph of g(x) = (1/5)^x

11111nata11111 [884]

Answer:

A) The point( -1 , 5) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

B) The point( 3 , 1/125) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

Step-by-step explanation:

Explanation:-

Given graph

y = $g(x) = (\frac{1}{5} )^{x}$

Put the point ( -1 , 5)

Put y =5 and x =-1

$5 = (\frac{1}{5} )^{-1} = 5$

The point( -1 , 5) is satisfies the given graph

ii)

Given graph

y = $g(x) = (\frac{1}{5} )^{x}$

$\frac{1}{125} = (\frac{1}{5} )^{3} = \frac{1}{125}$

The point( 3 , 1/125) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

7 0

3 years ago