Answer:
2
Step-by-step explanation:
First you need to factor your quadratic equation. You'll get (2x+1)(2x+1). Your two zeroes will be -1/2 and -1/2 with one being a, the other b. So then
a/b = (-1/2)/(-1/2)
and
b/a = (-1/2)/(-1/2)
Both reduce to 1. So a/b + b/a is 1+1=2
Answer:
5 miles per hour
Step-by-step explanation:
Let the speed of Kelly is 
miles per hour and speed of Raul is v₂ miles per hour.
Since, speed = 
Kelly took 135 minutes to cover 90 miles from New York to Philadelphia.
∵ 1 minute = 
hours
∴ 135 minutes = 
= 
hours
v₁ = 
= 
= 40 miles per hour
Raul took 153 minutes to cover the same distance as Kelly,
∵ 1 minute = hours
∴ 153 minutes = 
= 
hours
v₂ = 
= 35.29
≈ 35.3 miles per hours
v₁ - v₂ = 40 - 35.3
= 4.7
≈ 5.0 miles per hours
Therefore, Kelly is 5 miles per hours faster than Raul.
Answer:
(5,3) and (10,6)
Step-by-step explanation:
Answer: 4:12
Explanation:
DescriptionIn mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Our equation for this table could be an equation in slope-intercept form:
y=mx+b
m=slope of the line:
b=y-intercept.
1) we have to calculate the slope of this line.
We need two points, you can choose two points of this table, for example:
the points (4,6) and (10,15)
m=(y-y₀)/(x-x₀)
m=(15-6)/(10-4)
m=9/6
m=3/2
2) we have to find "b";
We have this equation:
y=3/2 x +b
Now, we choose any point of this table; For example (8,12), now we find "b",
y=3/2 x+b
12=3/2 (8)+b
12=12+b
b=12-12
b=0
Therefore: the equation would be y=3/2 x
More easy:
if y vary directly with x, then: y=(y₂-y₁)/(x₂-x₁) x
You choose any two points of this table:
(8,12)
(10,15)
y=(15-12)/(10-8) x
y=3/2 x
Answer: y=3/2 x
