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3 years ago

Evaluate the function for the given values of x.

Mathematics

1 answer:

galben [10]3 years ago

6 0

Answer:

g(3) = 11

g(-3) = 16

g(-1) =3

Step-by-step explanation:

For g(3)

g(x)= x² +2

g(3) = 3² + 2

g(3) = 9+2

g(3) = 11

For g(-3)

g(x) = -3x + 7

g(-3) = -3(-3) + 7

g(-3) = 9 + 7

g(-3) = 16

For g(-1)

g(x) = x² + 2

g(-1) = (-1)² +2

g(-1) = 1+2

g(-1) =3

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Divide R120 in the ratio 3:2

Fynjy0 [20]

Answer:

72:48

Step-by-step explanation:

as you divide 120 by 5 as 3+2=5 and that equals 24

24x3=72

24x2=48

7 0

3 years ago

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Andrei [34K]

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3 years ago

8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an

ololo11 [35]

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

We are given with a word problem
We are asked to find the number of unicorns played during the season
We can do this in two steps

Step 1: Finding the win percentage

Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$

5 0

2 years ago

You have six trophies to arrange on the top shelf of the bookcase how many ways are there to arrange the trophies

e-lub [12.9K]

Answer:

So, we can do it in 720 ways.

Step-by-step explanation:

We have been given total of six trophies to arrange in the top shelf of the bookcase

If we need to arrange n things in different ways we can do it in n! ways

Similarly, Here we will do it in 6! ways

n!=n(n-1)(n-2).....1

So, 6!=6 x 5 x 4 x 3 x 2 x 1=720

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3 years ago

There are 5 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. What is the probabili

Lerok [7]

This is a binomial distribution with n = 5, p = 0.55, q = 1 - 0.55 = 0.45, x = 0, 1, 2, 3

P(x) = nCx p^x q^(n - x)
P(x ≤ 3) = 1 - P(x > 3) = 1 - [P(4) + P(5)]
P(4) = 5C4 x (0.55)^4 x (0.45) = 0.2059
P(5) = 5C5 x (0.55)^5 x 1 = 0.0503

P(x ≤ 3) = 1 - (0.2059 + 0.0503) = 1 - 0.2562 = 0.7438

4 0

3 years ago