Answer:
-14
Step-by-step explanation:
if n = 1.5, replace all letters labeled "n" with 1.5
5(1.5) - (20 +1.5)
5 x 1.5 = 7.5
(20+1.5) = 21.5
7.5 - 21.5 = -14
:)
Answer:
- (5, 9)
- (5, 6)
- (-5,-6)
- (5, -9)
- (-9, -5)
Step-by-step explanation:
Compare the given functions to the vertex form. Match parts to find the values of h and k. The vertex is (h, k).
Vertex form: f(x) = a(x -h)^2 +k
__
f(x) = 5(x - 5)^2 + 9; h = 5, k = 9; vertex: (5, 9)
f(x) = 9(x - 5)^2 + 6; h = 5, k = 6; vertex: (5, 6)
f(x) = 9(x + 5)^2 - 6; h = -5, k = -6; vertex: (-5, -6)
f(x) = 6(x – 5)^2 - 9; h = 5, k = -9; vertex: (5, -9)
f(x) = 6(x + 9)^2 - 5; h = -9, k = -5; vertex: (-9, -5)
Answers:
- first box = 1
- second box = 1
- third box = 3
- fourth box = 3
Refer to the graph below.
==========================================================
Explanation:
If f(x) is an even function, then f(-x) = f(x) for all x in the domain.
What this means is that we have symmetry about the y axis. We can reflect that given curve over the y axis to generate the missing left side.
The graph shows that (1,1) is on the orange curve. It reflects over to (-1,1). This means 1 goes in the first box.
Use the rule
to apply a y axis reflection. We simply just change the sign of the x coordinate from positive to negative, while keeping the y coordinate the same.
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We can also see that (3,1) is also on the orange curve. It reflects over to (-3, 1) using that rule mentioned earlier.
1 goes in the second box
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The graph your teacher gave you shows that if we plugged in x = 5, then we get y = 3. In other words, the point (5,3) is on the orange graph.
It reflects over to (-5, 3) to show that x = -5 leads to the output y = 3
3 goes in the third box
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Lastly, the point (6,3) reflects to (-6,3) when reflecting over the y axis.
3 goes in the fourth box.
See the graph below.
Answer:
47 km
Explanation:
• Lucy's constant speed = 12 km/h.
,
• Time taken = 235 minutes
First, recall the formula below:
![Distance=Speed\times Time](https://tex.z-dn.net/?f=Distance%3DSpeed%5Ctimes%20Time)
Next, note that the speed is given in km/hr, so we convert the given time to hours:
![235\text{ minutes}=\frac{235}{60}\text{ hours}](https://tex.z-dn.net/?f=235%5Ctext%7B%20minutes%7D%3D%5Cfrac%7B235%7D%7B60%7D%5Ctext%7B%20hours%7D)
Therefore:
![Distance=12\times\frac{235}{60}=47\text{ km}](https://tex.z-dn.net/?f=Distance%3D12%5Ctimes%5Cfrac%7B235%7D%7B60%7D%3D47%5Ctext%7B%20km%7D)
She can travel 47 km in 235 minutes.