Answer:
For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;
-0.757, -17.5
Step-by-step explanation:
Given that the function is f(x) = √(2·x + 2) - √(x + 18)
The value of 'x' when f(x) = -1, is given as follows;
-1 = √(2·x + 2) - √(x + 18)
-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19
2·x² + 38·x + 36 = (3·x + 19)/2
2·x² + 38·x + 36 - (3·x + 19)/2 = 0
4·x² + 73·x + 53 = 0
From which we get;
x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)
x ≈ -0.757, and x ≈ -17.5
Step-by-step explanation:
Hence, the 55th term of the sequence is 161.
Answer:
B
Step-by-step explanation:
Since we are given that f(x)=1, we just have to find what value of x gives 1 as the result.
From the graph, we can see that (0,1) gives 1 as a y-value. Thus, when x is 0, y is 1.
Therefore, f(0)=1.
So, our answer is B.
And we're done!
Answer:
5%
Step-by-step explanation:
Amount of money that is discounted
= $15 - $14.25
$0.75
Percentage that needed to be discount
=(0.75/15) * 100%
= 5%
Thus, owner needs to discount 5% to discount his pizza from $15 to $14.25.
Answer:
3 1/3 cups of flour
Step-by-step explanation:
20/4 = 5
20 servings is 5 times 4 servings, so you need 5 times the amount of ingredients.
5 * 2/3 = 10/3 = 3 1/3
Answer: 3 1/3 cups of flour
