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Tema [17]
4 years ago
10

What are the zeros of the function f(x) = x +5 – 2x2?

Mathematics
1 answer:
MA_775_DIABLO [31]4 years ago
5 0

Answer:

x = -1

Step-by-step explanation:

First things first, simplify;

x+5 - 2(2)

x+5 - 4

x+1

Now we have;

f(x) = x+1

subtract 1

x = -1

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I need help with this question please, there are pictures attatched!
Paraphin [41]

A is the answer.

Step-by-step explanation:

The size of the shape was preserved, therefore nothing was changed but the position of the shape. The shape was reflected (flipped) over the y-axis and translated (Moved) up 7.

5 0
3 years ago
Plan: “MI AUTO PARA TAXI”
Anastaziya [24]

Answer:

Plan II is more favorable because the total amount to pay is less and the time to pay is greater than Plan I.

Step-by-step explanation:

<u><em>The question in English is</em></u>

Plan: "MY AUTO FOR TAXI"

Mr. Alberto decides to buy a car in order to perform taxi services. The price of the vehicle is S/45 000, but only S/20 000 is available. He then decides to finance the missing money through a bank. If between the two loan plans offered, you must choose one:

Which of the two options would you recommend to Mr. Alberto?

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the total amount due  

P is the amount owed

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

Plan I

t=2\ years\\ P=\$45,000-\$20,000=\$25,000\\ r=0.05\\n=1  

substitute in the formula

A=25,000(1+\frac{0.05}{1})^{1*2}  

A=25,000(1.05)^{2}  

A=\$27,562.50  

Plan II

t=3\ years\\P=\$45,000-\$20,000=\$25,000\\ r=0.03\\n=1  

A=25,000(1+\frac{0.03}{1})^{1*3}  

A=25,000(1.03)^{3}  

A=\$27,318.18  

Compare

Plan I ----> t=2 years A=$27,562.50

Plan II----> t=3 years A=$27,318.18

therefore

Plan II is more favorable because the total amount to pay is less and the time to pay is greater than Plan I.

6 0
3 years ago
Find zero of p(x) = x^3 - x/2 -7​
jeka94

Answer: 73

Step-by-step explanation:

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3

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−

8

)

−

(

+

4

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+

(

2

×

−

2

)

−

5

⇒

p

(

−

2

)

=

−

24

−

4

−

4

−

5

⇒

p

(

−

2

)

=

−

37

⇒

p

(

3

)

=

3

(

3

)

3

−

(

3

)

2

+

2

(

3

)

−

5

⇒

p

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3

)

=

(

3

×

27

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−

9

+

6

−

5

⇒

p

(

3

)

=

81

−

9

+

6

−

5

⇒

p

(

3

)

=

73

5 0
3 years ago
Write 29,160,426 in standard form
amm1812
Wait isn't 29160426 already in standard form?
3 0
4 years ago
150 students in a tenth grade high school class take a survey about which video game consoles they own 60 students answer that o
Archy [21]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

150 students in a tenth grade high school class take a survey about which video game consoles they own. 60  students answer that one of their consoles is a Playstation, 50 answer that one of their consoles is an Xbox. Out  of these, there are 20 who have both systems.

Let A be the event that a randomly selected student in the class has a Playstation and B be the event that the  student has an XBOX. Based on this information, answer the following questions.

a) What is P(A), the probability that a randomly selected student has a Playstation?

b) What is P(B), the probability that a randomly selected student has an XBOX?

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he  or she has an XBOX?

Answer:

a) P(A) = 2/5

b) P(B) = 1/3

c) P(A and B) = 2/15

d) P(A | B) = 2/5

Step-by-step explanation:

Total no. of students = 150

No. of students having playstation = 60

No. of students having xbox = 50

No. of students who have both playstation and xbox = 20

a) What is P(A), the probability that a randomly selected student has a Playstation?

P(A) = No. of students having playstation/Total no. of students

P(A) = 60/150

P(A) = 2/5

b) What is P(B), the probability that a randomly selected student has an XBOX?

P(B) = No. of students having xbox/Total no. of students

P(B) = 50/150

P(B) = 1/3

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

The probability that a students has a Playstation and an Xbox is given by

P(A and B) = P(A)*P(B)

P(A and B) = (2/5)*(1/3)

P(A and B) = 2/15

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

The conditional probability is given by

P(A | B) = P(A and B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

Alternatively:

P(A | B) = P(A∩B)/P(B)

Where P(A∩B) is given by

P(A∩B) = No. of students who have both playstation and xbox/Total no. of students

P(A∩B) = 20/150

P(A∩B) = 2/15

P(A | B) = P(A∩B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

6 0
3 years ago
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