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grandymaker [24]
3 years ago
15

for the x-values 1, 2, 3, and so on, the y-values of a function form an arithmetic sequence that decreases in value. what type o

f function is it?
Mathematics
2 answers:
abruzzese [7]3 years ago
8 0

Answer:

Decreasing linear

Step-by-step explanation:

zloy xaker [14]3 years ago
5 0

Answer:

<h2>Decreasing linear function.</h2>

Step-by-step explanation:

A decreasing linear function is a function which variables are linear, that is, they have an exponent 1. Also, their slope is always negative.

In this context, the slope refer to the ratio of change of one variable with respect to the other one, according to this ratio, we say if the function increases or decreases.

So, in the given problem we have for each x-value, there's an y-value that decreases, that relationship describe is a decreasing ration.

Just remember that a decreasing function are those which x-variable increase while the y-variable decreases.

Therefore, the type of function describe is a decreasing linear function.

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If 4f(x)+f(5-x)=x2<br><br> What is f(x)?
aksik [14]
We are given that 4f(x)+f(5-x)=x^2.

Substitute x with 5-x, then the above equation becomes:

4f(5-x)+f(5-(5-x))=(5-x)^2, that is

4f(5-x)+f(x)=(5-x)^2


So, we have the following system of equations:

i) 4f(x)+f(5-x)=x^2
ii) 4f(5-x)+f(x)=(5-x)^2

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) -16f(x)-4f(5-x)=-4x^2
ii) 4f(5-x)+f(x)=(5-x)^2

adding the 2 equations side by side we have:

-15f(x)=-4x^2+(5-x)^2

expanding the binomial, and collecting same terms we have:

-15f(x)=-4x^2+(25-10x+x^2)

-15f(x)=-3x^2-10x+25

dividing by -5:

3f(x)=\frac{3}{5}x^2+2x-5

dividing by 3:

\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}


Answer: \displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}

6 0
3 years ago
Directions: Simplify each expression by distributing <br> 1. 8(x + 5) =<br> 3.-2(3m + 9) =
TiliK225 [7]

Answer:

  1. 8x +40
  2. -6m-18

Step-by-step explanation:

8(x + 5) =  \\ 8(x) + 8(5) \\  = 8x + 40

- 2(3m + 9) \\  =  - 2(3m)  - 2(9) \\  =  - 6m - 18

7 0
3 years ago
How much more expensive is it, per pound, to buy ground beef at Store B than at Store A?
Ivahew [28]

Answer:

2.42

Step-by-step explanation:

First you need to use two points from store b to find the slope (y1-y2)/(x1-x2). I chose the first two points. (15.54-25.9)/(1.5-2.5)= 10.36. After you take another point from store b to plug into the equation y1-y2=m (x1-x2). M is the slope we just found and I used the first point.

Y1-15.54=10.36 (x1-1.5) distribute the 10.36 to the parentheses.

Y1-15.54=10.36x -15.54 get y1 by itself

Y=10.36x so store b is 10.36 a pound and store a is 7.94 a pound. 10.36-7.94= 2.42

7 0
2 years ago
State which of the following ordered pairs is a function. Set A: (-1, 0), (-2, 1), (4, 3), (3, 4) Set B: (1, 4), (2, 3), (3, 2),
liubo4ka [24]
Sets A and B are both functions because they all have different x values. Set C is not a function because it repeats the x value of 2 and gives it two different y values.
4 0
3 years ago
Read 2 more answers
Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????
andrey2020 [161]

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

Saving=25\%\text{ of }200

Saving=\dfrac{25}{100}\times 200

Saving=25\times 2

Saving=50

Therefore, the money saved by Katherine is $50.

6 0
3 years ago
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