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3 years ago

Need help with slope and y intercept on this graph pls

Mathematics

1 answer:

Alisiya [41]3 years ago

8 0

The graph appears to cross the y-axis at y=1. This is the y-intercept. Expressed as an ordered pair, the point is (x, y) = (0, 1).

The graph appears to cross the x-axis at x=5. That means the line has dropped one unit (from y=1 to y=0) while x has increased by 5 units (from x=0 to x=5). The slope is ...

... slope = (change in y)/(change in x) = (-1)/(5) = -1/5

The slope is -1/5.

The y-intercept is 1.

_____

The slope-intercept from of the equation for the line is

... y = (-1/5)x +1

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Write an algebraic expression for 9 more than 6 times a number. (5 points)

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Answer:

6n + 9

Step-by-step explanation:

6 times a number can be written as "6n"

9 more than 6n can be written as 6n + 9

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3 years ago

Estimate the difference 610-187

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610-187 is 423 but when you estimate it would be 400 this is your answer

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4 years ago

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Please hawlp pls.......

Amiraneli [1.4K]

Answer:

(a) $A(x)=160x-2x^{2}$

(b) $x=40\textrm{ m}$

(c) Maximum area $=3200$ square meters

Step-by-step explanation:

(a)

Given:

Total length for fencing = 160 m

Width of the rectangle = $x$ m.

Let the other length of the rectangle be $y$ m.

Then, from the figure,

$x+y+x=160\\2x+y=160\\y=160-2x$

Now, area of a rectangle is equal to the product of its length and width.

So, area is, $A(x)=xy=x(160-2x)=160x-2x^{2}$

(b)

Given:

$A(x)=160x-2x^{2}$

For maximum area, derivative of area with respect to $x$ must be 0.

So, $\frac{dA}{dx}=0\\\frac{d}{dx}(160x-2x^{2})=0\\160-4x=0\\4x=160\\x=\frac{160}{4}=40\textrm{ m}$

Therefore, for maximum area, $x=40\textrm{ m}$ .

(c)

Given:

$A(x)=160x-2x^{2}$

Maximum area occurs at $x=40$ . Plug in 40 for $x$ in $A(x)$ expression. This gives,

Maximum area is,

$A(x=40)=160(40)-2(40)^{2}\\A(x=40)=6400-2\times 1600\\A(x=40)=6400-3200=3200\textrm{ }m^{2}$

Therefore, maximum area is 3200 square meters.

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4 years ago

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Leni [432]

Answer:

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Step-by-step explanation:

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3 years ago

What is the slope of the line that goes through (6, 5) and (3, 1)?

Elenna [48]

I hope this helps you

x'=6 y'=5 x"=3 y"=1

slope. (x'-x")=y'-y"

slope. (6-3)=5-1

slope. 3=4

slope =4/3

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3 years ago

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