Multiply2 * x/15 to 2x/15
multiply both sides by 30 which is the LCM of 10, 5, 3, and 15
expand it
simplify 18 - 15x - 12x - 6 + 10x to 12 - 17x
add 17x to both sides
add 4x + 17x to = 21x
divide both sides by 21
simplify 12/21 to 4/7
now simplify
Answer: x = 4/7.
Answer:
16mm
Step-by-step explanation:
Just do 40 * 2/5 = 80/5 = 16mm
Substitue 2x for y in the second equation:
Rearrange to
form:
Factor:
Zeros are
and
To find y-coordinates of pts of intersection, plug these x-values into first equation to get
and
Answer:
Domain: (-∞, 4]
Range: [0, ∞)
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
- Range is the set of y-values that are outputted by function f(x)
Step-by-step explanation:
According to the graph, we see the line's x-value span from negative infinity to 4. Since 4 is closed dot, it is inclusive in the domain:
(-∞, 4] or x ≤ 4
According to the graph, we see the line's y-value span from 0 to infinity. Since 0 is closed dot, it is inclusive in the range:
[0, ∞) or y ≥ 0