Can someone help me I need to know the unit rate of:
1 answer:
Answer:
A. 60 miles per hour
B.120 customers per day
C.2.5 meters per second
D. $1.59 per pound
Step-by-step explanation:
Here we are asked to determine the unit rate for each one of the options given. By unit rate we mean the quantity for per unit quantity . Hence in order to find that we divide the two and quotient is our unit rate. Let us see how:
A. 420 miles in 7 hours
Unit rate =
Unit rate = 60 miles per hour
B. 360 customers in 30 days
unit rate =
Unit rate = 120 customers per day
C. 40 meters in 16 seconds
Unit rate =
Unit rate = 2.5 meters per second
D. $7.96 for 5 pounds
Unit rate =
Unit rate = $1.59 per pound
You might be interested in
Answer:
The output when x = -9 is f(x) = 187.
Step-by-step explanation:
We are given a function and asked to find the output of that function.
- The <u>input</u> of a function refers to a value that is substituted into the function in order to simplify it to a final value.
- The <u>output</u> of a function is the value that is achieved when the input is substituted into the equation and the function is evaluated.
Our standard function is in the form of a quadratic equation.
Let's check for a change in the presentation of the first value in the equation.
We see that x becomes -9. We also know that from conventional algebra, we need to make this change throughout the entire equation. Therefore, since we changed the x in f(x), we need to change it in 2x² - 5x - 20 as well.
Now, it's time to simplify this function. Let's first simplify the first term of the function: .
Let's follow PEMDAS in order to simplify the term.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
When using this acronym, make sure that all operations are performed <u>left to right</u>.
We see that -9 is raised to the power of 2, so we square -9. Otherwise, we carry out the following operation.
Then, we see that 2 is multiplied into this value. Therefore, we multiply 81 by 2.
Now, we need to subtract the product of 5 and -9.
Finally, we subtract 20 from this value.
Therefore, the value of f(-9) is 187.
Answer:
Step-by-step explanation:
When solving for x, we want to get x all by itself on one side of the equals side. It doesn't matter which side.
In this case, we have <em>x</em><em> </em><em>+</em><em> </em><em>h</em><em>.</em><em> </em>Since we want x alone we have to get rid of the h. We can do this by subtracting h from both sides (whatever you do to one side, you have to do to the other side).
Therefore, x = r - h.