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3 years ago

Consider the sequence 8, 6.2, 4.4.2.6. ... The function that describes the sequence is y(x) = 9.8 - 1.8(x). What is f(5)

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

F(5)=9.8-1.8(5)
F(5)=9.8-9
F(5)=9

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A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

$4y-332=y-29$

Adding both sides 332 we get:

$4y=y+303$

Subtracting both sides by $y$ we get:

$3y=303$

Dividing both sides by 3 we get:

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

7 0

3 years ago

6. 1, 8, 5, 4, 1, 8, 5, 4 Mean Median Mode

nexus9112 [7]

Answer:

Mean 16.75

Median 15.5

Mode 13

Step-by-step explanation:

This is what I got .____.

8 0

3 years ago

What is the equation of a line that its parallel to -3x+4y=4 and passes through the point (4,0)?

anzhelika [568]

Answer:

y=3/4x-3

Step-by-step explanation:

Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.

To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps

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3 years ago

Find the vertex for the function: y = 6(x + 3)^2 - 1

sukhopar [10]

Answer:

The vertex would be (-3, -1)

Step-by-step explanation:

Since this is in vertex form already, a(x-h)^2+k where h is the x value of the vetex, and k is y.

We would take the opposite of +3 and get -3, which gives us our x cordinate.

We don't change the k value, so it just stays -1, giving us our y value.

Therefore, the vertex is at (-3, -1)

Hope this helps!

6 0

2 years ago

Math help please. I have no idea what I'm doing and the videos are not helping.

viva [34]

Well, it will be 3 ( 8) ^ 2x/3

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3 years ago