Answer:
Equation Form: x=−2,y=−2
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
3/2x+1=−x−4
Solve 3/2x+1=−x−4
for x. x=−2
Evaluate y when x=−2.
y=−2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2,−2)
The result can be shown in multiple forms.
Point Form:
(−2,−2)
Equation Form:
x=−2,y=−2
Answer:
58 square units
Step-by-step explanation:
Take the shaded figure as a full larger rectangle minus the rectangular part which is not shaded.
Area of the full larger rectangle:
Area = length × width
Length = |12 - 2| = 10 units
Width = |8 - 1| = 7 units
Area = 10 × 7 = 70 units²
Area of the unshaded small rectangle:
Length = |10 - 4| = 6 units
Width = |3 - 1| = 2 units
Area = 6 × 2 = 12 units²
Area of the shaded figure = 70 - 12 = 58 square units
Answer:
.9167 miles per lap
Step-by-step explanation:
3.6 miles total-1.2 miles walked= 4.4 miles in laps
4.4 miles=4.8 laps
we are solving for miles per lap, so we divide 4.4m/4.8l
Solve for e. 0.75(8+e)=2−1.25e0, point, 75, left parenthesis, 8, plus, e, right parenthesis, equals, 2, minus, 1, point, 25, e
inessss [21]
Answer:Sep 7, 2011 — (a) For x = 1 the left-hand side is 4 and the right-hand side is 2. ... (e) The inequality is equivalent to n 2 n +4 2 0, i.e. n 2 2n 8 n +4 0, or 3n 10 ... (a) Cancel the factor 25ab. ... (d) Expanding the parentheses we get p ... The set of points that satisfy the inequality 3x + 4y 12 are those on or below the straight line
Step-by-step explanation:
Hope it helps
Answer:
When a graph has 2 x-intercepts, it will have positive discriminant & when a graph has NO x-intercepts, it will have negative discriminant.
Step-by-step explanation:
In a quadratic equation, the discriminant is the value of . This is "under the square root sign" when solving using quadratic formula.
Thus, there can be 3 possibilities:
1. Discriminant is 0 ( 2 equal real roots - meaning 1 touching point at the x-axis in the graph)
2. Discriminant can be positive ( 2 distinct real roots - meaning 2 cutting point in the x axis)
3. Discriminant can be negative ( 2 complex roots - meaning NO cutting point in x-axis)
Thus, when a graph has 2 x-intercepts, it will have positive discriminant & when a graph has NO x-intercepts, it will have negative discriminant.