For this case we have the following functions:
![g (x) = 15-4x\\h (x) = x + 8](https://tex.z-dn.net/?f=g%20%28x%29%20%3D%2015-4x%5C%5Ch%20%28x%29%20%3D%20x%20%2B%208)
We must find
when
.
So:
![g (h (x)) = 15-4 (x + 8) =](https://tex.z-dn.net/?f=g%20%28h%20%28x%29%29%20%3D%2015-4%20%28x%20%2B%208%29%20%3D)
We apply distributive property to the terms within parentheses taking into account that:
![- * + = -\\15-4x-32 =](https://tex.z-dn.net/?f=-%20%2A%20%2B%20%3D%20-%5C%5C15-4x-32%20%3D)
We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:
![-17-4x](https://tex.z-dn.net/?f=-17-4x)
Thus, we have to:
![g (h (x)) = - 17-4x](https://tex.z-dn.net/?f=g%20%28h%20%28x%29%29%20%3D%20-%2017-4x)
Then, with x = 2:
![g (h (2)) = - 17-4 (2) = - 17-8 = -25](https://tex.z-dn.net/?f=g%20%28h%20%282%29%29%20%3D%20-%2017-4%20%282%29%20%3D%20-%2017-8%20%3D%20-25)
Equal signs are added and the same sign is placed.
Answer:
![g (h (2)) = - 25](https://tex.z-dn.net/?f=g%20%28h%20%282%29%29%20%3D%20-%2025)
Answer:
They are at the same height at 1.13 seconds.
Step-by-step explanation:
Remark
The rockets are at the same height when f(x) = g(x) [see below] are the same. So you can equate them.
Givens
f(x) = - 16x^2 + 74x + 9
g(x) = -16x^2 + 82x I have changed this so you don't have 2 f(x)s
Solution
- f(x) = g(x)
- -16x^2 + 74x + 9 = -16x^2 + 82x Add: 16x^2 to both sides
- -16x^2+16x^2+74x + 9 = -16x^2+16x^2 + 82x Combine terms
- 74x + 9 = 82x Subtract 74x from both sides
- 74x - 74x + 9 = 82x - 74x Combine
- 9 = 8x Divide by 8
- 9/8 = 8x/8
- x = 1 1/8 Convert to decimal
- x = 1.125
- x = 1.13 [rounded]
Answer:
C.
Since the square root of 20 is around 4.5, we know that ≈4.5 is almost at the half mark between 4 and 5 on the number line.
Answer:
28 degrees
Step-by-step explanation:
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.The corresponding angles are the ones at the same location at each intersection.
In the figure ABD and EDF are corresponding angles. So they are equal
So equation the angle ABD and EDF , we get
(3x+4) = (7x-20)
Group the like terms,
3x-7x = -20-4
-4x = -24
![x = \frac{-24}{-4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-24%7D%7B-4%7D)
x = 6
Thus BCD will be,
(6x - 8)
=>(6(6)-8)
=>(36-8)
=> 28 degrees