Answer:
Second Graph
Step-by-step explanation:
Given the linear inequality, y > -x - 3, an easier way of determining its graph is through a test point.
A test point is an ordered pair that is not on the actual line of the graph. The point of origin, (0, 0) is often used for this purpose.
Substitute the values of (0, 0) into the linear inequality to find out whether it satisfies the given inequality statement:
y > -x - 3
0 > - (0) - 3
0 > - 0 - 3
0 > -3 (True statement). Therefore, the shaded region must contain the test point since it is one of the solutions to the given linear inequality.
Hence, the correct answer is the second graph.
Answer:
a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm. so around 21.
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(x−5)+8=4
(2)(x)+(2)(−5)+8=4(Distribute)
2x+−10+8=4
(2x)+(−10+8)=4(Combine Like Terms)
2x+−2=4
2x−2=4
Step 2: Add 2 to both sides.
2x−2+2=4+2
2x=6
Step 3: Divide both sides by 2.
2x/2 = 6/2
x=3
Answer:
x ≈ 15.0 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Trigonometry</u>
- tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
Angle = 28°
Opposite leg of angle = 8 ft
Adjacent leg of angle = x ft
<u>Step 2: Find </u><em><u>x</u></em>
- Substitute: tan28° = 8/x
- Multiply <em>x </em>on both sides: xtan28° = 8
- Divide tan28° on both sides: x = 8/tan28°
- Evaluate: x = 15.0458
- Round: x ≈ 15.0 ft
Answer:√-40=2√-10
Step-by-step explanation:Finding the factors of 40,we have ,√4×√-10=2×√-10=2√-10
