Answer:
h(-4) = -4
Step-by-step explanation:
Since x is given (x = -4). Then, all you need to do is log in -4 for each value of x
h(-4) =
−
(
−
4
)
2
-3(-4)
h(-4) = -(16) + 12 = -4
Answer:
<h3>A. C. E. F.</h3><h3>That is, 2, 3, 5 and 6.</h3>
Step-by-step explanation:
In geometry, <em>exterior angles are any angle place between any side of a shape and a line extended from the next side</em>, as the figure shows.
As you can see, angle 2 and 3 are formed by a side of the triangle and an extended line from the next side. Similarly, angles 5 and 6 are formed the same way. Therefore, those four are exterior angles.
Answer:
Step-by-step explanation:
Let x be the number of 2 coins and y be the number of 5 coins. Let z be the number of 10 coins she exchanged. Then, we have the first equation

Since she has one 5 coin less than 2 coins, then y=x-1. So we get the equation
which is equivalent to
If we add 5 on both sides and factor out on the right by 5 we get

We can solve for x and get
Since x represents the number of 2 coins, we must have that x is an integer. That is, we cannot have, for example 1.5 2 coins. Since 7 doesn't divide 5, we must have that 7 divides 2z+1. That is, the value of z is such that the number 2z+1 is multiple of 7. That is 2z+1 = 7p where p is an integer.
If that is the case, then
x = 5p, then y = 5p-1. By having 2z+1 = 7p, we are forcing that p is an odd integer, so we have infinite solutions. For each value of p that is an odd integer, then x=5p and y=5p-1 is a solution to the problem
So here are the rules of horizontal asymptotes:
- Degree of Numerator > Degree of Denominator: No horizontal asymptote
- Degree of Numerator = Degree of Denominator:

- Degree of Numerator < Degree of Denominator: y = 0
Looking at the rational function, since the degree of the numerator is 2 and the degree of the denominator is 1 (and 2 > 1), this means that <u>this function has no horizontal asymptote.</u>
This is just a porportion. So if 250 meters is 1 meter than: 250/1
And it wants to know the height. So we have the first number but not the second. So we'll use x: 212/x
Set them equal to each other 250/1=212/x
Cross multiply: 212=250x
Divide to find x: 212/250=x
x=212/250
x=0.848
So the height of the model, to the nearest 10th would be 0.8 meters.