The equations y=55x+50 and y=65x represents Rick's and Betty's trip.
Step-by-step explanation:
Given,
Head start of Rick = 50 miles
Speed of Rick = 55 mph
Let,
x be the number of hours
y be the total miles
Distance covered by Rick in x hours = Speed * Time + Head start
y = 55x + 50
Speed of Betty = 65 mph
Total miles = Speed*Time
y=65x
The equations y=55x+50 and y=65x represents Rick's and Betty's trip.
Keywords: variable, addition
Learn more about variables at:
#LearnwithBrainly
Answer:
y= -4x - 5
Step-by-step explanation:
5 is your y-intercept
Answer:
a = 72°
Step-by-step explanation:
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape. There are two different types of alternate angles, alternate interior angles, and alternate exterior angles.
In this situation a and 72 are alternate interior angles
<span>y = 2(x + 2)^2 - 3 has the form y = a(x-h)^2 + k.
Here, a=2, h=-2 and k=-3.
This is a quadratic function. Its graph is a vertical one which opens up (we know that because a = 2 is positive). Its vertex is (-2, -3). Because the graph opens up, (-2, -3) represents the minimum of this function.
The domain of any and all polynomial(s) includes "all real numbers."
The range is the set of possible outputs (y-values) and is (-3, infinity).</span>
When you multiply a base with an exponent by a base with an exponent, you add the exponents together. (But you can only combine the exponents when the bases are the same)
For example:
(they have the same base of x)
(you can't combine the exponents because they have different bases of y and x)

When you have a negative exponent, you move the base with the negative exponent to the other side of the fraction to make the exponent positive.
For example:
or 
or 
Add the exponents together

Make the exponent positive
Simplify
