F(x) = 9x2 - 4 Find the zeros of the function

Based on the graph, which equation represents the relationship between the height of trees (y) and the amount of rainfall (x)?

slega [8]

Given:

Given that the graph that shows the amount of rainfall( in centimeters) and the height of the trees( in meters)

We need to determine the equation that represents the relationship between the height of trees(y) and the amount of rainfall(x).

Slope of the equation:

The slope can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (20,10) and (40, 20) in the above formula.

Thus, we get;

$m=\frac{20-10}{40-20}$

$m=\frac{10}{20}$

$m=0.5$

Thus, the slope of the equation is 0.5

y - intercept:

The y - intercept of the equation is the value of y when x = 0.

Thus, from the graph, when x = 0, the value of y is 0.

Hence, the y - intercept is b = 0

Equation of the graph:

The equation of the given graph can be determined using the formula,

$y=mx+b$

Substituting the values, we get;

$y=0.5x+0$

$y=0.5x$

Thus, the equation that represents the relationship between the height of the trees (y) and the amount of rainfall (x) is $y=0.5x$

Hence, Option C is the correct answer.

5 0

3 years ago

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Leon has 3/8 the number of tropical fish that haru has how many times the number of tropical fish Leon has is the number of trop

stealth61 [152]

Let
Haru's number ---> x
Leon's number ---> (3/8)x
so
ratio of
Leon : Haru = (3/8)x : x 
= 3/8 : 1 
= 3 : 8

the answer is
3 : 8

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3 years ago

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Michael Pedro and Kevin were saving money. All together they saved $130. Kevin saved 3 times more than Pedro. Michael saved $20

yKpoI14uk [10]

Answer:

The saving of all three person are

The Pedro's saving is $ 30

The Michael's saving is $ 10

The Kevin's saving is $ 90

Step-by-step explanation:

Given as :

The three person namely Michael , Pedro , Kevin

The total saving of all together = $ 130

Let The Michael's saving = $ M

The Pedro's saving = $ P

The Kevin's saving = $ k

I.e Michael's saving + Pedro's saving + Kevin's saving = $ 130

Or, M + P + K = $ 130

again ,

Kevin saved 3 times more than Pedro

I.e K = 3 × P

And , Michael save $ 20 less than Pedro

I.e M = P - $ 20

Now

∵ M + P + K = $ 130

or, ( P - $ 20) + P + 3 × P = $ 130

Or, 5 P - $ 20 = $ 130

Or, 5 P = $ 130 + $ 20

Or, 5 P = $ 150

∴ P = $ $\frac{150}{5}$

I.e P = $ 30

So The Pedro's saving = P = $ 30

And

M = P - $ 20

∴, M = $ 30 - $ 20

I.e M = $ 10

So, The Michael's saving = M = $ 10

Similarly

K = 3 × P

∴ k = 3 × $ 30

I.e K = $ 90

So, The Kevin's saving = k = $ 90

Hence The saving of all three person are

The Pedro's saving is $ 30

The Michael's saving is $ 10

The Kevin's saving is $ 90

Answer

5 0

3 years ago

Need to know the answer for this one , help

k0ka [10]

Answer:

Choice D.

Step-by-step explanation:

The range is the set of all y-coordinates of the points in the graph.

The graph is a wavy function that has a maximum y-coordinate of 1 and a minimum y-coordinate of -1. The y-coordinates can also be all numbers between -1 and 1. Choice A. is only the two numbers -1 and 1. That is not correct since the range comprises the numbers -1, 1, and all numbers in between -1 and 1.

Answer: Choice D.

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3 years ago

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The number of adults who attend a county fair (measured in hundreds of people) is represented by the function a(d)=−0.3d2+4d+9 ,

Lesechka [4]

Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.

Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.

Any function f(d) to find excess of children more than adults can be written as follows :-

f(d) = c(d) - a(d).

⇒ f(d) = (−0.2d² + 5d + 11) - (−0.3d² + 4d + 9)

⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9

⇒ f(d) = 0.1d² + d + 2

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3 years ago

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