Perhaps you want to know what the number is?
3n -8 = 7
3n = 15 . . . . . add 8
n = 5 . . . . . . . divide by 3
The number is 5.
Answer:
24.554
Step-by-step explanation:
Substitute the variables for the given values
2(9.84)(1.3) - (1.3) + (0.27)
25.584 - 1.3 + 0.27
24.284 + 0.27
24.554
Answer:
Ella should add lbs of water.
Total weight of syrup lbs
Step-by-step explanation:
Weight:
Weight of sugar = 0.5 lbs.
Weight of water added = x lbs
Total weight = 0.5 + x lbs
Percentage:
0.5 + x -- 100%
0.5 -- 1.5%
Write a proportion:
Cross multiply:
Ella should add lbs of water.
Total weight of syrup
Answer:
The solution of given expression = 5 , -3
Step-by-step explanation:
Given expression;
15 - 4x = x² - 6x
Find:
The solution of given expression
Computation:
15 - 4x = x² - 6x
x² - 6x + 4x - 15 = 0
x² - 2x - 15 = 0
x² - (5 - 3)x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x - 5)(x + 3) = 0
So,
x - 5 = 0 and x + 3 = 0
x = 5 and x = -3
The solution of given expression = 5 , -3
Answer:
y ≥ 2
Step-by-step explanation:
The range is all of the values that f(x) can have. In order to find the range, let's first find the vertex. That's pretty easy to do since f(x) is already written in vertex notation (vertex notation is f(x) = a(x - c)² + d where (c, d) is the vertex). Since c = -5 and d = 2, the vertex is (-5, 2). Because the value of a is positive (a = 3 in this case, which is positive) we know that the parabola opens upward, therefore the vertex is the minimum. This means that the y-coordinate of the vertex is the smallest possible y-value of the function, therefore, since the y-coordinate of the vertex is 2, the range is y ≥ 2. Note that we use ≥ and not >, this is because y can be 2, therefore, it is included in the solution set.