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3 years ago

G(x) = 4x2 – 3x + 2, find g(2a).

Mathematics

1 answer:

S_A_V [24]3 years ago

3 0

Answer:

g(2a) = 16a^2 - 6a + 2

Step-by-step explanation:

Replace every occurrence of x in g(x) = 4x^2 – 3x + 2 with (2a); it's best to use parentheses here.

Then g(2a) = 4(2a)^2 - 3(2a) + 2

= 4(4a^2) - 6a + 2

= 16a^2 - 6a + 2 (answer)

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Answer:

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Step-by-step explanation:

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3 years ago

Suppose that a company prints baseball cards. They claim that 30% of the cards feature rookies, 60% feature veterans, and 10% fe

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Answer:

H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.

Ha: At least one of the proportions in the null hypothesis is false.

Step-by-step explanation:

On this case we need to apply a Chi squared goodness of fit test, and the correct system of hypothesis would be:

H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.

Ha: At least one of the proportions in the null hypothesis is false.

And in order to test it we need to have observed and expected values. On this case we can calculate the Expected values like this

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$E_{veterans}=50*0.6=30$

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The observed values are not provided. The statistic on this case is given by:

$\chi^2 =\sum_{i=1}^n \frac{(O_i) -E_i}{E_i}$

And this statistic follows a chi square distribution with k-1 degrees of freedom on this case k=3, since we have 3 groups.

We can calculate the p valu like this:

$P(\chi^2 > \chi^2_{calculated})=p_v$

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3 years ago

John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la

Dmitriy789 [7]

Answer:

d = 5t + 20

Step-by-step explanation:

d represents the distance and t represents the time, in hours

Let he equation which model this situation ⇒ d = a t + b

Where a and b are constant.

Let the gas station is the starting point

So, at gas station t = 0 , d = 20

∴ 20 = 0 * a + b ⇒ b = 20

When he reaches home 2 hours later notes that he has traveled 30 miles.

and with substituting with b = 20

∴ 30 = 2 * a + 20

2a = 30 - 20 = 10 ⇒ a = 10/2 = 5

∴ d = 5t + 20

The equations that can be used to model this situation <u>d = 5t + 20</u>

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