The first thing you do is cross multiply which is 3/4x=48 (3/4 = 0.75). Therfore you divide each side by .75. The left side cancels out. For the right side you divide 48 by .75 and gives you 64. x=64
Answer:
5x-8/12y
Step-by-step explanation:
x+1
3y
+
x−2
4y
−(
x+3
/6y
=
30xy2−48y2
72y3
=
30x−48/72y
=
5x−8
/12y
Answer:
(a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
a² +
ab - b² ← factor out
from each term
=
(a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
a² +
ab - b² =
(a + 2b)(a - b)
Answer:
x<6
Step-by-step explanation:
x+1 < 7
Subtract 1 from each side
x+1-1<7-1
x <6
Answer:
Domain [-4,4]
Range [-2,2]
Step-by-step explanation:
The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.
In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].