Answer:
Option (A)
Step-by-step explanation:
Parent function (in red) graph is represented by,
f(x) = x²
If this function is translated by 'a' units to the right, rule to be followed,
f(x) → f(x - a)
If the parent function is shifted by 4 units to the right (blue graph), the new function will be,
g(x) = f(x - 4)
g(x) = (x - 4)²
Therefore, Option (A) will be the correct option.
Answer:
0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-7)/(5-(-1))
m=0/(5+1)
m=0/6
m=0
We first calculate Pablo's height .
4 = 100%
x = 1% (Where x is 1% of Sandra's height.)
cross multiplying the equation, we get:
100x = 4 → x = 4/100 → x = 0.04
If 1% = 0.04, then 10% will be 0.04 × 10 = 0.4
Pablo's height is 4 + 0.4 = 4.4 feet.
Now we repeat the above steps to get Michal's height from Pablo's height
4.4 = 100%
x = 1% so:
100x = 4.4 → x = 4.4/ 100 → x = 0.044
If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35
Michael's height is 4.4 + 0.35 = 4.75 feet.
Let us say that the variables for flight is designated by
1, while the return flight by 2, since the distance travelled are equal, therefore:
v1 t1 = v2 t2
or
460 t1 = 500 t2
Since t1 + t2 = 4.8, therefore: t1 = 4.8 – t2
460 (4.8 – t2) = 500 t2
2208 – 460 t2 = 500 t2
960 t2 = 2208
t2 = 2.3
t1= 4.8 – t2 = 4.8 – 2.3
t1 = 2.5
Answer:
The flight took 2.5 hours while the return flight took
2.3 hours.
A) A rational number that is between 9.5 and 9.7 could be 9.6 because it can be written as a fraction (in this case 9 6/10 or 9 3/5)
B) An irrational number could be the square root of 91 because it's value cannot be written as a fraction, as with all other square roots of non-perfect squares. sqrt(91) is about 9.54 rounded to the nearest hundredth.
Hope this helped!
