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3 years ago

Tell which form the following linear equation is written in: y = 2x + 5

Mathematics

2 answers:

inna [77]3 years ago

5 0

Answer:

Slope-intercept form

Step-by-step explanation:

There are 3 ways of writing a linear equation: slope-intercept form, point-slope form and standard form. Below is what the following looks like:

Slope-intercept form: $y=mx+b$

Point-slope form: $y-y_1=m(x-x_1)$

Standard form: $Ax+By+C=0$

Comparing y=2x+5 to the above, we can identify that it was written in slope-intercept form.

I hope this helps!

RideAnS [48]3 years ago

4 0

Answer:

Standard form

Step-by-step explanation:

So the problem "y=2x+5" is in standard form and no modification is necessary. For a parabolic equation, the standard form is y = a(x - h)^2 + k, from which direction (polarity of "a") and axis of symmetry (value of "h"), etc. may be determined by inspection.

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Answer:

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3 years ago

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Refer to Figure 8-9. The loss of producer surplus as a result of the tax is a. $3,000. b. $6,000. c. $9,000. d. $12,000.

zhannawk [14.2K]

The loss in producer surplus as a result of the tax given the information in the diagram is $9000.

<h3>What is the loss in the producer surplus?</h3>

Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product

The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax

Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)

12000 - 3000 = $9000

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2 years ago

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Lemur [1.5K]

Answer:

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Step-by-step explanation:

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3 years ago

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Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

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4 years ago

Choose the true statements.

stiks02 [169]

Answer:

The y-intercept must be zero.

It is possible that the line is horizontal.

Step-by-step explanation:

The description states that the line "crosses both axes at the origin." That would mean that the point (0,0) is on the graph. The y-intercept is the value of y when x=0. We see that it is zero in this case (0,0).

The description says nothing about the slope. So it could be either positive or negative. But it could also mean that the slope is zero. A zero slope would be a horizontal line. So that is a second statement that is true: "It is possible that the line on the graph is horizontal."

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3 years ago