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2 years ago

I need an explanation to this

Mathematics

2 answers:

Karolina [17]2 years ago

7 0

Answer:

second option

Step-by-step explanation:

the average is calculated as

average = $\frac{sum}{count}$

= $\frac{4x+5+7x-6-8x+2}{3}$

= $\frac{3x+1}{3}$

= $\frac{3x}{3}$ + $\frac{1}{3}$

= x + $\frac{1}{3}$

kogti [31]2 years ago

4 0

Answer:

x + 1/3

Step-by-step explanation:

<u>It just basically the average of the three expressions</u>

<u>=> Remember to divide the expressions into 2 groups (the x group which contains x in it, and the numeral group which doesn't contains x)</u>

The x group: (4x + 7x + (-8x)) /3 = x

The numeral group: (5 +(-6) + 2) /3 = 1/3

So the answer must be x + 1/3, not x + 1

(I hope this is helpful)

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3 years ago

A bag contains blue,green,yellow,and red marbles. The probability of drawing a yellow marble is 3/10. What is the probability of

lutik1710 [3]

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3 years ago

Read 2 more answers

1) what is the initial value?

JulsSmile [24]

Step-by-step explanation:

1) for t = 0, the initial value is -0.45 gal. which is funny. when it is really cold, do people add water to the tank somehow instead of consuming water ?

so I guess, that system is really reliable with values greater than 0.

0.0875t = 0.45

t = 5.142857143...°

so, I guess, 6° is the lowest reasonable value for this function.

2) as for any line function, the slope is the rate of change.

so, 0.0875 gal more per 1 degree more in temperature.

3) t = 90

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2 years ago

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Check all th

madam [21]

Consider the function $g(x) =-5x^2 + 100x- 450$ . First you need to simplify it by expressing the perfect square:

$g(x) =-5x^2 + 100x- 450=-5(x^2-20x+90)=-5(x^2-2\cdot x\cdot 10+10^2-10^2+90)=-5((x-10)^2-100+90)=-5(x-10)^2+50.$

So you get $g(x) =-5(x-10)^2+50$ .

Now you can consider all transformations that have been applied to the graph of $f(x) = x^2$ to produce the graph of g(x):

translate the graph of the function $f(x)$ right 10 units - this transformation gives you the graph of the function $f_1(x)=(x-10)^2$ ;
reflect graph of the function $f_1(x)$ about the x-axis. This transformation gives you the graph of the function $f_2(x)=-(x-10)^2$ ;
stretch the graph of the function $f_2(x)$ in the y-direction by multiplying the whole function by 5, then you get the function $f_3(x)=-5(x-10)^2$ ;
translate the graph of the function $f_3(x)$ up 50 units, then you get the graph of the function $g(x) =-5(x-10)^2+50$ .