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3 years ago

CAN U SOLVE THIS

Mathematics

1 answer:

balandron [24]3 years ago

8 0

Hello!

To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.

Since we are given two points, we can use those two points to find two different equations.

Remember that ordered pairs are written as (x, y).

A(-2, 4)

y = -3x + b

4 = -3(-2) + b

4 = 6 + b (subtract 6 from both sides)

-2 = b

A) Therefore, the equation of the first ordered pair is y = -3x - 2.

B(5, 2)

2 = -3(5) + b

2 = -15 + b (add 15 to both sides)

17 = b

B) The equation of the second ordered pair is y= -3x + 17.

<u>Final answers</u>:

A) y = -3x - 2
B) y = -3x + 17

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What is the slope of the line that passes through the poiņts (-10, 4) and (-10,8)?

anygoal [31]

Answer:

Slope is undefined

Step-by-step explanation:

Slope is calculated by $\frac{y1-y2}{x1-x2}$ so now you put the points (-10,4) and (-10,8) into that.

Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.

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3 years ago

A person bought some Australian dollar of NRs 1,50,000 according to the exchange rate. Australian dollar 1 = NRs 77.02. After fi

AlekseyPX

Answer:

5.26% profit (NRs 7,894.24)

Step-by-step explanation:

The exchange of 1,50,000 NRs to A$ will give ...

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If the Nepali rupees are devalued by 5%, then what did buy A$ 1 will now buy only A$ 0.95. Then the exchange back to NRs will give ...

(NRs 77.02)/(A$ 0.95) = x/(A$ 1947.54)

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The effective profit is the difference from the amount initially exchanged, NRs 7,894.24, or ...

(1,57,984.24/1,50,000 -1) × 100% ≈ 5.26%

<em>Additional comment</em>

Except for the loss in the exchange due to rounding down, the profit would be 1/0.95 -1 = 5.2632%. Instead, it is 5.2628%. This is why investors move their money to investments that retain their value when the local currency is losing its value.

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2 years ago

For a certain bathtub, the hot water faucet can fill the tub in 12 minutes. The cold water faucet can fill the tub in 8 minutes.

Fofino [41]

If both faucets are used together, it time taken by them to fill the tub is 4.8 minutes.

<h3>What is the concept of time and work?</h3>

Time and work share a fundamental idea in common with other arithmetic topics, namely the idea of proportionality.

When the amount of work is constant, efficiency is inversely proportional to the length of time required.

Important Time and Work Formula:

Work Done = Time Taken × Rate of Work.
Rate of Work = 1 / Time Taken.
Time Taken = 1 / Rate of Work.
If a piece of work is done in x number of days, then the work done in one day = 1/x.
Total Wok Done = Number of Days × Efficiency.
Efficiency and Time are inversely proportional to each other.

Calculation for the time taken by both faucet to fill the tub.

The unit should be tub per minute.

Then, do the reciprocal of the result to have minute per tub.

The hot water faucet can fill the tub in 12 minutes.

The cold water faucet can fill the tub in 8 minutes.

The filling rate for both faucets filling the tub at the same time is the sum of their rates.

Let 't' be the time taken by both faucets.

Then,

$\frac{1}{12} +\frac{1}{8} =\frac{1}{t}$