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4 years ago

What is the solution to the equation 1/3(x-2)=1/5(x+54)+2

Mathematics

2 answers:

Marta_Voda [28]4 years ago

7 0

0.13 I’m not sure tho

Dennis_Churaev [7]4 years ago

5 0

Answer:

x=101

Step-by-step explanation:

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Which equation is rewritten in vertex form?

Zinaida [17]

(x + 3)^2 + (x + 4)^2
= x^2 + 6x + 9 + x^2 + 8x + 16
= 2x^2 + 14x + 25
= 2(x^2 + 7x) + 25
= 2[(x + 7/2)^2 - 49/4] + 25
= 2(x + 7/2)^2 - 98/4 + 25
= 2(x + 7/2)^2 + 1/2

Its B

7 0

3 years ago

Which of the following values would complete the ordered pair if the point is on the graph of f (x) = -3x + 2 ?

Scrat [10]

Answer: the y-coordinate that completes the point is 5.

Explanation:

An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.

The output value is y = f(x) and must be found applying the rule (function) to the given input value.

In this case the rulte is f(x) = - 3x + 2, and the input value, x, is - 1 (the first value of the ordered pair).

This is the mathematical procedure:

x = - 1
f(x) = f (-1) = -3 (-1) + 2 = 3 + 2 = 5.

5 0

3 years ago

Read 2 more answers

Can someone plz help me with me homework

riadik2000 [5.3K]

The answer to #3 is 52.

4 0

4 years ago

Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [

Darya [45]

Answer:

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

$f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9$

Computing the first derivative:

$f' ( x ) = - 6 x^3 + 54 x - 108$

We find the critical points equating f'(x) to zero

$- 6 x^3 + 54 x - 108=0$

Simplifying by -6

$x^2 -9 x +18=0$

We get the critical points

$x=3,\ x=6$

They define the following intervals

$(-\infty,3),\ (3,6),\ (6,+\infty)$

Thus A=3 and B=6

3 0

3 years ago

A theater group holds a fund-raiser. It sells 100 raffle tickets for $7 apiece. Suppose you purchase four tickets. The prize is

lys-0071 [83]

Answer:

Check Explanation

Step-by-step explanation:

The random variable X is the possible net amount that leaves or enters one's hands. It is the amount of winnings!

X can take on value of -($7 × 4) = -$28

(That is, none of the four raffle tickets bought is picked to win)

X can also take on value of [$150 - ($7 × 4)] = $122

(That is, one of the four raffle tickets bought is picked to win)

For the probability distribution function, we find the probabilities of the different amount of winnings.

First of, probability of losing = (96/100) = 0.96

Then, probability of winning = (4/100) = 0.04

Probability density distribution is then given as

X | probability

-$28 | 0.96

$122 | 0.04

To go a step further, expected winnings would be

E(X) = Σ xᵢpᵢ = (-28)(0.96) + (122)(0.04)

= -26.88 + 4.88 = -$22

The expected winnings show that this is not a risk worth taking.

Hope this Helps!!!

4 0

3 years ago