Answer:
Actually two points belong to the Domain and Range of this function, namely C, (8,21) D (2,16) and could be true for h(x)
Step-by-step explanation:
1) In other words, we have two pairs (8,19) and (-2,2):
2) Plugging in each values on every condition:
![D=-3 \leqslant x \leqslant 11 \:\:\:R= 1 \leqslant h(x) \leqslant 25\\A)D=-3 \leqslant 13 \leqslant 11 \:\:\:R= 1 \leqslant 18 \leqslant 25\:\:\:\:FALSE\\B)D=-3 \leqslant -3 \leqslant 11 \:\:\:R= 1 \leqslant -1 \leqslant 25 \:FALSE\\C)D=-3 \leqslant 8 \leqslant 11 \:\:\:R= 1 \leqslant 21 \leqslant 25\:True\\D)D=-3 \leqslant 2 \leqslant 11 \:\:\:R= 1 \leqslant 16 \leqslant 25\: True](https://tex.z-dn.net/?f=D%3D-3%20%5Cleqslant%20x%20%5Cleqslant%2011%20%5C%3A%5C%3A%5C%3AR%3D%201%20%5Cleqslant%20h%28x%29%20%5Cleqslant%2025%5C%5CA%29D%3D-3%20%5Cleqslant%2013%20%5Cleqslant%2011%20%5C%3A%5C%3A%5C%3AR%3D%201%20%5Cleqslant%2018%20%5Cleqslant%2025%5C%3A%5C%3A%5C%3A%5C%3AFALSE%5C%5CB%29D%3D-3%20%5Cleqslant%20-3%20%5Cleqslant%2011%20%5C%3A%5C%3A%5C%3AR%3D%201%20%5Cleqslant%20-1%20%5Cleqslant%2025%20%5C%3AFALSE%5C%5CC%29D%3D-3%20%5Cleqslant%208%20%5Cleqslant%2011%20%5C%3A%5C%3A%5C%3AR%3D%201%20%5Cleqslant%2021%20%5Cleqslant%2025%5C%3ATrue%5C%5CD%29D%3D-3%20%5Cleqslant%202%20%5Cleqslant%2011%20%5C%3A%5C%3A%5C%3AR%3D%201%20%5Cleqslant%2016%20%5Cleqslant%2025%5C%3A%20True)
We have two points that belong to the Domain and Range.
3) Actually two points belong to the Domain and Range of this function, namely C, (8,21) D (2,16) and could be true for h(x)
Answer:
9
Step-by-step explanation:
sorry if wrong
Answer:
x=-3
Step-by-step explanation:
f(x)=-2(x+3)^2-5
The equation is in the form
f(x) = a(x-h)^2 -k
where (h,k) is the vertex
The h value is also the axis of symmetry
f(x)=-2(x--3)^2-5
The vertex is (-3,-5)
so the axis of symmetry is x=-3
Answer d= 4 mi :) I may be wrong go with what you like
Answer:
The last one is 215
Step-by-step explanation:
Let
x ----> the first consecutive number
x+1 ---> the second consecutive number
x+2 ---> the third consecutive number
x+3 ----> the fourth consecutive number
we have that
![x+(x+1)+(x+2)+(x+3)=854](https://tex.z-dn.net/?f=x%2B%28x%2B1%29%2B%28x%2B2%29%2B%28x%2B3%29%3D854)
solve for x
Combine like terms
![4x+6=854](https://tex.z-dn.net/?f=4x%2B6%3D854)
Subtract 6 both sides
![4x+6-6=854-6](https://tex.z-dn.net/?f=4x%2B6-6%3D854-6)
![4x=848](https://tex.z-dn.net/?f=4x%3D848)
Divide by 4 both sides
![x=212](https://tex.z-dn.net/?f=x%3D212)
Find the last one
![x+3=212+3=215](https://tex.z-dn.net/?f=x%2B3%3D212%2B3%3D215)
therefore
The last one is 215