Which of this following functions are even functions of x, and which are odd? (i) x

A hot air balloon leaves the ground and ascends at a rate of 5 feet per minute for 4 minutes.

aleksley [76]

When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.

20 - 14 = 6 feet

This means that the balloon is now 6 feet above the ground.

I hope I've helped! :)

5 0

2 years ago

Solve for x in the equation x2 - 12x+ 36 = 90

12345 [234]

Answer:

6 + 3 $\sqrt{10\\}$ or 6 - 3 $\sqrt{10\\}$

Step-by-step explanation:

x^2 - 12x + 36 = 90

x^2 - 12x - 54 = 0

x = $\frac{-b +/- \sqrt{b^{2} + 4ac }}{2a}$

a = 1, b= -12, c= -54

6 + 3 $\sqrt{10\\}$ or 6 - 3 $\sqrt{10\\}$

6 0

3 years ago

johnnys baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. the team has a total of 11

lapo4ka [179]

Given that Johney's baseball had raised $1,456 out of $2,000 they need to play the tournament.

Amount of money they still need to raise is given by $2,000 - $1,456 = $544.

Given that there is a total of 11 players in the team. Let x represent the total amount each player needs to raise, then x = $544 / 11 = $49.45

Therefore, each player needs to raise $49.45

8 0

3 years ago

2. Write a rule for the translation of ABC to A A'B'C'.<br> 12<br> B<br> 12

adell [148]

Answer:

I think its b

i hope you pass

8 0

3 years ago

write the expressions for when you translate the graph of y = |x+2| a) one unit up b) one unit down c) one unit to the left d) o

irina1246 [14]

Hello!

This question is about which values you are changing when you are transforming an equation.

Let's go through the parent function for an absolute value equation and its various transformations.

$y=a|b(x-c)|+d$

Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.

The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.

One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.

Now that we know this, let's write each expression.

a) $y=|x+2|+1$

b) $y=|x+2|-1$

c) $y=|x+3|$

d) $y=|x+1|$

Hope this helps!

6 0

2 years ago