Which equation represent a horizontal lines? A. x= y + 2 B. y= 2 C. y= x + 1 D. x=2

A motor scooter travels 14 mi in the same that a bicycle covers 5 mi. If the rate of the scooter is 4mph more than twice the rat

nignag [31]

We observe that 14 is 4 more than twice 5.

The scooter's rate is 14 mph.
The bicycle's rate is 5 mph.
_____
time = distance/rate
14/(2b +4) = 5/b . . . . . . let b represent the bicycle's speed in mi/h
14b = 10b +20 . . . . . . . .cross multiply
4b = 20 . . . . . . . . . . . . . subtract 10b
b = 5 . . . . . . . . . . . . . . . divide by 4. Same answer as above.

8 0

3 years ago

Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for 1 1/2 hours.

mash [69]

Answer:

18 miles

Step-by-step explanation:

Distance = speed * time

d = 12 *1 1/2 = 12*1.5 = 18

5 0

2 years ago

Read 2 more answers

Using the completing-the-square method, rewrite f(x) = x2 - 6x + 2 in vertex form.

sp2606 [1]

Answer:

$\large\boxed{f(x)+(x-3)^2-7}$

Step-by-step explanation:

$\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7$