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1 year ago

Find the slope and y-intercept of the line and graph.y = -x + 2

Mathematics

1 answer:

alexgriva [62]1 year ago

3 0

Given the equation:

$\text{ y = -x + 2}$

The equation is already in the slope-intercept form, y = mx +b.

Where,

m = Slope of the line

b = Y-intercept

Thus,

The slope of the line, m = -1

The y-intercept = 2

In making the graph of the equation, we must determine at least two points of the line.

Let's determine two conditions: when x = 0 and y = 0.

Point 1: At x = 0,

y = -x + 2

y = 0 + 2

y = 2

(0,2)

Point 2: At y = 0,

y = -x + 2

0 = -x + 2

x = 2

(2,0)

The graph of the equation will be,

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Rashid [163]

Answer: My guess is $4.55

Step-by-step explanation:

2.50 + 1.75 = 4.25 (This is the total of everything you bought)

4.25 x 0.07= 0.2975 (0.2975 is 7% of 4.25 but because this is money I will round it to 0.30)

(0.30 is the tax so now add it to the original amount)

$4.25 + $0.30 = $4.55

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3 years ago

Could I get the answer, all work and explanation for this problem?

ratelena [41]

Okay so this is how i did it but idk if it’s right.
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3 years ago

A farmer wishes to fence a rectangular area behind his barn. The barn forms one end of the rectangle and the length of the recta

Semenov [28]

1. The formula for calculate the perimeter of a rectangle, is:

P=2L+2W

P is the perimeter of the rectangle (P=320 feet).
L is the lenght of the rectangle.
W is the width of the rectangle.

2. The problem says that the length of the rectangle is three times the width, so you have:

L=3W

3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:

P=2L+2W
320=2(3W)+2W
320=6W+2W
8W=320
W=320/8
W=40 feet

4. The barn forms one end of the rectangle. Therefore the linear feet of fence (x) is:

x=P-W
x=320 feet-40 feet
x=280 feet

How many linear feet of fence must he buy?

The answer is: 280 feet

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3 years ago

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loris [4]

$2 \frac{3}{4} * \frac{4}{5}$ is the same as $\frac{11}{4} * \frac{4}{5}$ . The 4s will cancel leaving you with $\frac{11}{5}$ or $2 \frac{1}{5}$ , your 3rd option.

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3 years ago

The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma

andreev551 [17]

The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

Given that the circumference of a sphere is 76cm and error is 0.5cm.

The formula of the surface area of a sphere is A=4πr².

Differentiate both sides with respect to r and get

dA÷dr=2×4πr

dA÷dr=8πr

dA=8πr×dr

The circumference of a sphere is C=2πr.

From above the find the value of r is

r=C÷(2π)

By using the error in circumference relation to error in radius by:

Differentiate both sides with respect to r as

dr÷dr=dC÷(2πdr)

1=dC÷(2πdr)

dr=dC÷(2π)

The maximum error in surface area is simplified as:

Substitute the value of dr in dA as

dA=8πr×(dC÷(2π))

Cancel π from both numerator and denominator and simplify it

dA=4rdC

Substitute the value of r=C÷(2π) in above and get

dA=4dC×(C÷2π)

dA=(2CdC)÷π

Here, C=76cm and dC=0.5cm.

Substitute this in above as

dA=(2×76×0.5)÷π

dA=76÷π

dA=24.19cm².

Find relative error as the relative error is between the value of the Area and the maximum error, therefore:

$\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end$

As above its found that r=C÷(2π) and r=dC÷(2π).

Substitute this in the above

$\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end$

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

Learn about relative error from here brainly.com/question/13106593

#SPJ4

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2 years ago