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lesya [120]
3 years ago
10

The price of a car devaluated from 3500 to 2700 what is the percent of decrease of the car

Mathematics
2 answers:
lidiya [134]3 years ago
7 0

Answer:

The percent of the decrease will be 22.86

Nata [24]3 years ago
3 0

Answer:

The price of the car decrease 22.86 %

Step-by-step explanation:

(3500-2700) / 3500 = 0.22857 *100%

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If f(x)=2x^3-6x^2-16x-20f(x)=2x *3 −6x *2−16x−20 and f(5)=0, then find all of the zeros of f(x)f(x) algebraically.
mihalych1998 [28]

The zeros of the cubic function f(x) = 2x³ - 6x² - 16x - 20 are given as follows:

x = 5, x = -1 + i, x = -1 - i.

<h3>How to obtain the solutions to the equation?</h3>

The equation is defined by the rule presented as follows:

f(x) = 2x³ - 6x² - 16x - 20.

One solution for the equation is given as follows:

x = 5.

Because f(5) = 0.

Then (x - 5) is a linear factor of the function f(x), which can be written as follows:

2x³ - 6x² - 16x - 20 = (ax² + bx + c)(x - 5).

This is because the product of a linear function and a quadratic function results in a cubic function.

Now we expand the right side to begin finding the coefficients of the quadratic function that we are going to solve to find the remaining zeros:

2x³ - 6x² - 16x - 20 =  = ax³ + (b - 5a)x² + (c - 5b)x - 5c.

Then these coefficients are obtained comparing the left and the right side of the equality as follows:

  • a = 2.
  • -5c = -20 -> c = 4.
  • b = -6 + 5a = 4.

Hence the equation is:

2x² + 4x + 4.

Using a quadratic equation calculator, the remaining zeros are given as follows:

  • x = -1 + i.
  • x = -1 - i.

More can be learned about the solutions of an equation at brainly.com/question/25896797

#SPJ1

8 0
1 year ago
Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)
timofeeve [1]

First find the equation of y.

y=mx+n=\frac{\Delta y}{\Delta x}x+n

Find the slope m.

m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1.

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

9=1(-3)+n\implies n=12.

The equation of a line y is:

y=x+12.

The perpendicular line y_{\perp} is same like the normal line except its slope m becomes:

k=-\frac{1}{m}=-1.

The equation of a perpendicular bisector is thus:

y_{\perp}=-x+12.

Hope this helps.

6 0
3 years ago
Read 2 more answers
In a two-player game, five cards, numbered 1 through 5, are placed in a bag. A card is drawn at random, and the players look at
IceJOKER [234]

Answer:

If it is less than 3, Player 1 earns 3 points.

If not, Player 2 earns 2 points.

Step-by-step explanation:

<u>Player 1</u> :

p(N < 3) = p(N = 1 or N = 2) = 2/5

<u>Player 2</u> :

p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5

<u>We notice that</u> :

p(N < 3) × 3 = (2/5) × 3 = 6/5

On the other hand,

p(N ≥ 3) × 2 = (3/5) × 2 = 6/5

since ,the probability player 1 win multiplied by the associated number of points (3)

is equal to

the probability player 2 win multiplied by the associated number of points (2).

Then the game is fair.

8 0
1 year ago
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Which choice is equivalent shown here x less than 0?
Usimov [2.4K]

Which choice is equivalent shown here x less than 0?

ANSWER:

D.

EXPLANATION:

I hope its help

6 0
2 years ago
A company that specializes in language tutoring lists the following information concerning its English-speaking employees: 23 em
galben [10]
I assume the sentences:
"23 employees speak German; 29 speak French; 33 speak Spanish"
mean these speak ONLY the respective languages other than English.
Then the calculations boil down to those who speak ONLY two languages, noting that 8 speak French, German and Spanish, which need to be subtracted from 
1. French and Spanish: 43-8=35 (speak only two foreign languages)
2. German and French: 38-8=30 (speak only two foreign languages)
3. German and Spanish: 48-8=40 (speak only two foreign languages).

Now We add up the total number of employees:
zero foreign language = 7
one foreign language  = 23+29+33=85
two foreign languages = 30+35+40=105
three foreign languages=8
Total =7+85+105+8=205

(a) Percentage of employees who speak at least one foreign lanugage = (85+105+8)/205=198/205=.966=96.6%
(b) Percentage of employees who speak at least two foreign lanugages = (105+8)/205=113/205=.551=55.1%
5 0
3 years ago
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