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Margaret [11]
2 years ago
12

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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Verify that [tan(theta) + cot(theta)]^2 = sec^2(theta) + csc^2(theta)
Wittaler [7]

(tanθ + cotθ)² = sec²θ + csc²θ

<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ

<u>Evaluate middle term</u>: 2tanθcotθ = 2*\frac{sin\theta}{cos\theta}*\frac{cos\theta}{sin\theta} = 2

⇒ tan²θ + 2+ cot²θ

= tan²θ + 1 + 1 + cot²θ

<u>Apply trig identity:</u>  tan²θ + 1 = sec²θ

⇒ sec²θ + 1 + cot²θ

<u>Apply trig identity:</u>  1 + cot²θ = csc²θ

⇒ sec²θ + csc²θ

Left side equals Right side so equation is verified


7 0
3 years ago
A pound of chocolate costs 8 dollars. Maria buys p pounds. Write an equation to represent the total cost c that Maria pays
horsena [70]

Answer: 8p=c

Step-by-step explanation:

4 0
3 years ago
What is the median of 36,14,21,39,11,2​
Usimov [2.4K]

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4 0
3 years ago
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2/3(x+6)=-18 I need the answer help me!!
iragen [17]

Answer:

x = -33

Step-by-step explanation:

2/3(x+6) = -18

multiply (x+6) by 2/3

2/3x + 4 = -18

subtract 4 from both sides

2/3x + 4 - 4 = -18 - 4

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multiply by 3/2

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7 0
3 years ago
Read 2 more answers
PLEASE ANSWER QUICKLY AND HELP ME!! THANK YOU SO MUCH!!
coldgirl [10]
Hello there!

To start off this problem, let's replace f(x) with x in the equation. This gives us the following.

x= \dfrac{3}{4} x+12

Subtract 3/4*x from both sides.

x- \dfrac{3}{4} x=12

\dfrac{4}{4} x-\dfrac{3}{4}x=12

\dfrac{1}{4} x=12

Now, multiply both sides by 4 to eliminate the fraction on the left side.

x=12*4=48

Your answer is B. Hope this helps! :)
5 0
3 years ago
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