Answer:
D. g(x) = (x - 5)² + 3
Step-by-step explanation:
If a graph is translated horizontally, the value will affect x inside of the parentheses. For example, (x + #) or (x - #).
If a function is translated to the right, there will be a (-) sign. If a function is translated to the left, there will be a (+) sign.
This function needs to be translated 5 units to the right. Therefore, the equation will be: g(x) = (x - 5)² + 3
The answer is 40°
i will tell you how,
Total angle sum of any triangle is 180°
∠A + ∠B + ∠E = 180°
70° + 80° + ∠E = 180°
solve for ∠E
∠E = 30°
Now solve use ∠BDE,
∠B + ∠D + ∠E = 180°
20° + 90° + 30° + x = 180° (in triangle DEB, ∠E = 30 + x ) (∠D is 90°)
solve for x
there fore, x = 40°
200 miles
$71-$35=$36 left in budget
$36/.18 per mile= 200 miles
Answer:
The correct answer is 7.
Step-by-step explanation:
Let there be x number of candies in each bag filled by Ken and Mali.
Both Ken and Mali started with equal number of candies and put same number of candies in each bag.
Ken filled nine bags and had three candies left. Therefore total number of candies Ken had = 9x + 3.
Mali filled eight bags and had ten candies left. Therefore total number of candies Mali had = 8x + 10.
As both had equal number of candies in the beginning,
9x + 3 = 8x + 10
⇒ x = 10 - 3 = 7
Thus each bag contained 7 candies.
Gave away 7 ⇒ -7
Bought 6 ⇒ + 6
Left with 13
If he did not buy the 6 cars ...
13 - 6 = 7
If he did not give the 7 cars away ...
7 + 7 = 14
He has 14 cars at first.
13 - 6