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3 years ago

50 Points - Use the function f(x) to answer the questions:

Mathematics

1 answer:

faust18 [17]3 years ago

3 0

f(x) = 2x^2 - x - 10

Part A:

x-intercepts: (-2,0), (5/2,0)

Part B:

The vertex is the minimum

vertex: (1/4, -81/8)

Part C:

x: -2, -1, 1/4, 1, 2

y: 0, -7, -81/8, -9, -4

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Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?

Naddika [18.5K]

Answer:

Step-by-step explanation:

Not much to explain

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3 years ago

How do you describe the solution set to a system of linear inequalities?

Tatiana [17]

Answer:

How do you describe the solution set to a system of linear inequalities?

Step-by-step explanation:

The solutions of a system of linear inequalities are all the ordered pairs that make all the inequalities in the system true.

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2 years ago

Quando existe, dizemos que a solução de um sistema de equações lineares é o conjunto ordenado de números que satisfaz todas as e

QveST [7]

X representa o numero das suas respostas certas.
y represnta o numero das suas respostas erradas.
O total de perguntas é 25, portanto
x + y = 25

Agora tratamos do dinheiro.
Começa com R$ 500,00
Pelas x respostas certas, recebe 200x.
Pelas y respostas errads perde 150y.
O total de dineheiro inicial mais os ganhos menos as perdas são iguais a
R$ 600,00, portanto
500 + 200x - 150y = 600
200x - 150y = 100
20x - 15y = 10

Temos um sistema de duas equações com duas variaveis.

x + y = 25
20x - 15y = 10

15x + 15y = 375
+ 20x - 15y = 10
---------------------------
 35x = 385
 x = 11

x + y = 25

11 + y = 25

y = 14

Resposta: Errou 14 perguntas.

5 0

3 years ago

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

sesenic [268]

Answer:

$Log_5 12=1.54$

Step-by-step explanation:

We are given that

$Log_5 12$

We have to find the value of given logarithms by using change-base formula

Base-change formula:

$log_a b=\frac{Log_x b}{Log_x a}$

Where x=New base

Using the formula then, we get

$Log_5 12=\frac{log_{10} 12}{log_{10} 5}$

Substitute the values $log_{10}12=1.079, log_{10}5=0.699$

Then,we get

$Log_5 12=\frac{1.079}{0.699}$

$Log_5 12=1.54$

3 0

3 years ago

Consider 4 flips of an unfair coin where probability of heads is 0.40. Consider all tosses independent of each other. (a) Compar

romanna [79]

Answer:

a) 0.0256 = 2.56% probability of 4 heads.

0.1296 = 12.96% probability of 4 tails.

b) The probability is 0.0576 = 5.76%.

c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses

Step-by-step explanation:

For each throw, we have these following probabilities:

0.4 = 40% probability of heads.

0.6 = 60% probability of tails.

(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.

4 heads:

4 throws, each with 0.4 probability of heads. So

$(0.4)^4 = 0.0256$

0.0256 = 2.56% probability of 4 heads.

4 tails:

4 throws, each with 0.6 probability of tails. So

$(0.6)^4 = 0.1296$

0.1296 = 12.96% probability of 4 tails.

(b) Determine the probability of H T H T in 4 tosses.

H = 0.4, T = 0.6. So

$p = 0.4*0.6*0.4*0.6 = 0.0576$

The probability is 0.0576 = 5.76%.

(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)

Number of outcomes:

The possible outcomes are:

H - H - T - T

H - T - H - T

H - T - T - H

T - H - H - T

T - H - T - H

T - T - H - H

6 outcomes given 2 heads in 4 tosses.

Each with probability 0.0576, as found in b)

6*0.0576 = 0.3456

0.3456 = 34.56% probability of 2 heads in 4 tosses

8 0

3 years ago