After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus
1 answer:
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Answer:
This system of equations has one real solution, (2, 8).
Step-by-step explanation:
Given:
y = x² + 4
y = 4x
1. Substitute the given value of y into y = x² + 4:
⇒ 4x = x² + 4
2. Solve for x (by factoring):
⇒ 4x = x² + 4
⇒ 0 = x² - 4x + 4
⇒ 0 = (x - 2)² [perfect square rule: a² -2ab + b² = (a - b)²]
⇒ 0 = (x - 2)² [take the square root of both sides]
⇒
⇒ 0 = x - 2 [add 2 to both sides]
⇒ 0 + 2 = x - 2 + 2
⇒ 2 = x
3. Find the value of y by substituting the given value of x into y = 4x:
⇒ y = 4(2)
⇒ y = 8
4. Check your work:
⇒ y = x² + 4 and ⇒ y = 4x
⇒ 8 = 2² + 4 and ⇒ 8 = 4(2)
⇒ 8 = 4 + 4 and ⇒ 8 = 8 ✔
⇒ 8 = 8 ✔
Solution: (x, y) ⇒ (2, 8)
Learn more about solving system of equations:
Answer:
The speed of car B is 50 mile per hour
Step-by-step explanation:
Given as :
The Distance travel by car A = 175 miles
The Distance travel by car B = 125 miles
The Time taken by both car A and B is same = T hours
Let The speed of car B = S mile per hour
So, The speed of car A = ( S + 20 ) mile per hour
Now, Time =
So , For Car A ,
T =
For Car B ,
T =
So, =
Or, 175 × S = 125 × ( S + 20 )
Or, 175 S - 125 S = 125 × 20
Or, 50 S = 2500
∴ S =
I.e S = 50 mph
And S + 20 = 50 + 20 = 70 mph
The speed of car A = 70 mph
The speed of car B = 50 mph
Hence The speed of car B is 50 mile per hour Answer