Answer:
f(x) = StartLayout enlarged left-brace 1st Row 1st column seven-halves + 2x, 2nd column x less-than-or-equal-to negative 1 2nd row 1st column negative 5 + StartFraction 3 x Over 2 EndFraction, 2nd column Negative 1 less-than x less-than 3 Third row 1st column one-fourth x, 2nd column x greater-than-or-equal-to 3 EndLayout A number line goes from negative 5 to 5.
Step-by-step explanation:
Answer:
<em>2a² = c²</em>
Step-by-step explanation:
Right triangles follow the Pythagorean Theorem, <em>a² + b² = c².</em> The hypotenuse <em>(c)</em> must be the longest of the sides. In the given triangle, both legs measure <em>a</em> units. So, <em>a = b.</em> Therefore, we have <em>a² + a² = c²</em> or <em>2a² = c²</em><em>.</em>
Answer:
80%
Step-by-step explanation:
60/75 = 4/5 = 0.80
Therefore, the percentage of change is 80%.
1. 19/2 is 9 r1
2. 33/4 is 8r1
I hope this helps
Answer:
Explanation:
<u>1. Data:</u>
i) Distance traveled by the cars:
ii) Speed of the cars:
iii) Time to arrive at the suburb:
- t₂ - t₁ = 2 hour ⇒ t₂ = t₁ + 2
<u>2. Equations:</u>
time = distance / speed
- t₂ = 480 / v₂
- t₁ = 480 / v₁ = 480 / (v₂ + 20)
t₂ - t₁ = 2 hour
↓ ↓ ↓
480/v₂ - 480/ (v₂ + 20) = 2
<u>3. Solve the equation</u>
480(v₂ + 20) - 480(v₂) = 2 × (v₂ + 20) (v₂)
240(v₂ + 20) - 240(v₂) = (v₂ + 20) (v₂)
240v₂ + 4800 - 240v₂ = (v₂)² + 20v₂
(v₂)² + 20v₂ - 4800 = 0
(v₂ + 80) (v₂ - 60) = 0
v₂ = - 80
v₂ = 60
Only the positive solution has physical meaning:
- v₁ = 60km/h + 20km/h = 80km/h ← answer
