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3 years ago

Write the equation of the line fully simplified slope-intercept form.

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

7 0

Answer:

y=-4/10x+ 5 or y=-0.4x+5

Step-by-step explanation:

The formula for slope is y=mx+b. The "m" is the slope, the "x" is constant, and "b" is your y-intercept.

1. Figure out your slope:

Easiest way to do this is by using rise/run. You. take your point to the left and count how many spaces up or down it is from the second point, and then repeat that across the x-axis.

2. Determine whether it is positive or negative

A line with a positive slope is going to be angled upward and a line with a negative slope will be angled downward

3. Find the y-intercept

Simply look at the graph and find where the line crosses the y-axis

4. Plug everything into the equation

Once you do Steps 1-3, just plug everything in and you're done! If you have any questions, feel free to ask!

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A piece of cloth costs birr 200. If the piece was 5m longer and the cost of each metre of cloth was birr 2 less ,the cost of the

Paha777 [63]

The length of the original piece of cloth was 20 meters.

The cost of per meter cloth initially was birr 10 per meter.

In the question, we are given that a piece of cloth costs birr 200.

Also, we are told that if the piece was 5m longer and the cost of each meter of cloth was birr 2 less, the cost of the piece would have remained unchanged.

We are asked to find the length of the cloth piece and what is its original price per meter.

We assume the initial length of the cloth to be x meters.

The cost of the cloth is given to be birr 200.

Thus, the per meter cost of the cloth initially was birr 200/x per meter,

In the new case, we are given that:

The piece was 5 meters longer.

The initial length = x m.

The new length = x + 5 m.

The cost of each meter of cloth was birr 2 less.

The initial cost of each meter of cloth = birr 200/x per meter.

Thus, the new per meter cost = birr 200/x - 2 per meter = birr (200 - 2x)/x per meter.

Thus, the cost of the piece = birr (x + 5)(200 - 2x)/x.

Now, we are given that the cost of the piece in both cases is the same, which can be shown as:

(x + 5)(200 - 2x)/x = 200,

or, 200x + 1000 - 2x² - 10x = 200x,

or, x² + 5x - 500 = 0,

or, x² + 25x - 20x - 500 = 0,

or, x(x + 25) - 20(x + 25) = 0,

or, (x - 20)(x + 25) = 0, which gives that:

Either x - 20 = 0 ⇒ x = 20,

or, x + 25 = 0 ⇒ x = -25.

Since x cannot be negative, x = 20.

Thus, the length of the original piece of cloth was x meters = 20 meters.

The cost of per meter cloth initially was birr 200/x per meter = birr 10 per meter.

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8 0

2 years ago

I need to be able to explain how to do this step by step and know the final answer. Evaluate the logarithm: log8 64

tamaranim1 [39]

Answer:

$log_{8}(64) = 2$

Step-by-step explanation:

$log_{8}(64) = x \\ {8}^{x} = 64 \\ {8}^{2} = 64$

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2 years ago

Which equation is a direct variation function? A) y = x B) y = (1/4)x + 2 C) y = x^2 D) y = 4

Ivanshal [37]

I think the answer is 16

4 0

3 years ago

Translate the English phrase into an algebraic expression: the product of the quotient of A and the sum of B and C, and the prod

Lera25 [3.4K]

Answer:

$(\frac{A}{B+C} )(DE)$

Step-by-step explanation:

You're multiplying two factors together (because at the start, it says the product of)

The first factor is the quotient of A, and the sum of B and C, so A divided by (B + C)

The second factor is whatever the product of D and E is, so you have to multiply those together first

5 0

3 years ago

500

Rainbow [258]

Options

(A)350 (B)375 (C)725 (D)750 (E)775

Answer:

(E)775

Step-by-step explanation:

From the attached graph

In Year 5

100 shares in ODX Group, Inc. was worth $175
100 shares in Peer Comms Ltd was worth $200

Therefore the Cost of 100 shares in ODX Group, Inc. and 300 shares in Peer Comms Ltd, in Year 5

=175+3(200)

=175+600

=$775

The correct option is E.

3 0

3 years ago

Write the equation of the line fully simplified slope-intercept form.​

Write the equation of the line fully simplified slope-intercept form.