Answer:
1615 / 48
Step-by-step explanation:
So the mixed numbers as improper fractions is:
6 1/3 = 19 / 3
4 1/4 = 17 / 4
1 1/4 = 5 / 4
19 / 3 * 17 / 4 * 5 / 4 = 1615 / 48
It's kinda messy so it might be wrong.
Xy = -150
x + y = 5
x + y = 5
x - x + y = -x + 5
y = -x + 5
xy = -150
x(-x + 5) = -150
x(-x) + x(5) = -150
-x² + 5x = -150
-x² + 5x + 150 = 0
-1(x²) - 1(-5x) - 1(-150) = 0
-1(x² - 5x - 150) = 0
-1 -1
x² - 5x - 150 = 0
x = -(-5) ± √((-5)² - 4(1)(-150))
2(1)
x = 5 ± √(25 + 600)
2
x = 5 ± √(625)
2
x = 5 ± 25
2
x = 2.5 ± 12.5
x = 2.5 + 12.5 or x = 2.5 - 12.5
x = 15 or x = -10
x + y = 5
15 + y = 5
- 15 - 15
y = -10
(x, y) = (15, -10)
or
x + y = 5
-10 + y = 5
+ 10 + 10
y = 15
(x, y) = (-10, 15)
The two numbers that add up to 5 and multiply to -150 are 15 and -10.
The <u>correct answer</u> is:
The function is a one-to-one function.
Explanation:
When an equation is graphed, we use the Vertical Line Test to determine if that equation is a function; if a vertical line hits more than one point anywhere on the graph, the graph is not a function.
This corresponds with the definition of a function: A function is a set of ordered pairs in which each element of the domain (x) is mapped to no more than one element of the range (y). Since every x has no more than one y, there will be no two points hit by the same vertical line.
When we have the graph of a function, to determine if it has an inverse, we use the Horizontal Line Test: if a horizontal line hits more than one point anywhere on the graph, the function does not have an inverse.
This corresponds with the definition of a one-to-one function: A function in which every element of the range (y) is mapped to exactly one element of the domain (x). Since every y has one x, there will be no horizontal line that hits more than one point anywhere on the graph.
Answer:
<h3>
Any of them.</h3><h2>
a ∈ R</h2>
Step-by-step explanation:
-5x - 4y = 2a 4x - 5y = 2
-4y = 5x + 2a -5y = -4x + 2
y = (5x + 2a):(-4) y = (-4x + 2):(-5)
y = -⁵/₄x - ¹/₂a y = ⁴/₅x - ²/₅
m₁ = -⁵/₄, b₁ = -¹/₂a m₂=⁴/₅, b₂= -²/₅
-⁵/₄ ≠ ⁴/₅
Different slopes means that two lines have one point of intercept (no mater what the b's are). That means that the system of linear equations has exactly one solution for any value of a.
Answer:
11,236
Step-by-step explanation:
i think this might be the answer but if it not alseat I try helping
