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2 years ago

If ƒ(x ) = x^2 + 1 and g(x ) = 3x + 1, find [ƒ(2) - g(1)]^2. 1 2 9

Mathematics

2 answers:

stepladder [879]2 years ago

5 0

I think that the answer would be 2 if I am right

Daniel [21]2 years ago

5 0

Does this help?

If ƒ(x ) = x 2 + 1 and g(x ) = 3x + 1, find [ƒ(2)-g(1)] 2

Anwser: 1

((2)2 + 1) - (3(1) + 1) = 1

/ / | | \ \ | |

2*2=4+1 - 3*1=3+1 =1

\ / \ /

5 - 4 =1

5-4=1

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For the given pair of events A and B, complete parts (a) and (b) below.

steposvetlana [31]

Answer:

(a) Option A. independent

(b) $P(A\ and\ B) = 0.0312$

Step-by-step explanation:

Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.

In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.

In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.

When two events are independent then

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

The probability that a baby is a girl is

$P(A) = 0.5$

The probability of obtaining a 1 when casting a 16-sided die is:

$P(B) = \frac{1}{16}$

Then:

$P(A\ and\ B) = 0.5 * \frac{1}{16}$

$P(A\ and\ B) = 0.0312$

5 0

3 years ago

PLS PLS PLS HELP!!!! True or false: 6x² - 4y - 3x + 6x² + 8x= 12x² + 5x - 4y

tigry1 [53]

Answer:

True

Step-by-step explanation:

6x² - 4y - 3x + 6x² + 8x = 12x² + 5x - 4y

Regroup terms on left

6x² + 6x² - 3x + 8x - 4y = 12x² + 5x - 4y

Combine like terms

on left

12x² + 5x - 4y = 12x² + 5x - 4y True

7 0

2 years ago

Describe and correct the error a student made in finding the midpoint of CD with C(4,5) and D(1,4).

Andru [333]

Using the given information, the midpoint of CD is (2.5, 4.5)

<h3>Midpoint of a line </h3>

From the question, we are to determine the midpoint of line CD

The midpoint of a line is given by the formula,

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

From the given information, we are to find the midpoint of line CD with coordinates C(4,5) and D(1,4)

∴ x₁ = 4

x₂ = 1

y₁ = 5

y₂ = 4

Putting the parameters into the formula for midpoint, we get

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

[(4 + 1)/2 , (5 + 4)/2]

(5/2 , 9/2)

(2.5, 4.5)

Hence, the midpoint of CD is (2.5, 4.5)

Learn more on Midpoint of a line here: brainly.com/question/896396

#SPJ1

6 0

1 year ago

5z+2z^3+3z^4 in standard form

julia-pushkina [17]

Answer:

= 3z4 - 2z2 -5z

Step-by-step explanation:

6 0

2 years ago

The amount of money that Li spends on a video game depends on how many game he purchases. if Li has at most $90 to spend on game

siniylev [52]

Answer:

Hence Domain set for function is {0,1,2,3,4}

Step-by-step explanation:

Given:

Total amount spend =90

22.5 $ each game cost

To Find:

What is domain for the function

Solution:

Now domain mean all possible value for input so that it gives real output as per condition mentioned

So Our condition is that li spends money on video game depends on how many game he purchases

so total money spent on game is output

i.e in order to get that much amount of games.

If he spends 22.5 $ for each game and Total amount spent is 90

So 90/22.5=4 Now amount of game he would purchase will be 4

i.e range for lil is 0 to 4 wiht 90 $ in hand

So Domain set will be ranging from{0,1,2,3,4}

7 0

3 years ago