Answer:
x = 1/2
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
We have been given that the point
lies on the curve
. Q is the point
. We are asked to find the slope of the secant line
for
.
Let us find y-coordinate corresponding to
for point P as:

Now, we will use slope formula to find required slope.
Let point
and point
.
Using these points in slope formula, we will get:

Therefore, the slope of the line PQ is 5.
Answer:
16 years
Step-by-step explanation:
1.7% of 2000 is $34
$544 divided by $34 = 16 years, that is if the interest is yearly and not monthly though
Answer:
Mrs. Duggin walked a total of
.
Step-by-step explanation:
Given:
Number of miles walked on each day = 
Number of days she walked = 7
We need to find the Total miles she walked using repeated addition method.
Solution:
Now we know that Repeated Addition means adding each group together and it is also known as Multiplication.
So we can Find Total miles she walked by adding Number of miles walked on each day with number of day times.
OR
we can Find Total miles she walked by Multiplying Number of miles walked on each day with number of days.
framing in equation form we get;
Total miles she walked = 
OR
Total miles she walked = 
Hence Mrs. Duggin walked a total of
.
Answer:
See below.
Step-by-step explanation:
To complete the table, start by copying the given function.
f(x) = |-2x + 4|
Now let's start with the first line of the table: x = 6.
You are finding the value of function f when x = 6.
Replace x with 6 and evaluate the expression.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
Second line of table:
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.
Line 3: f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
The table looks like this:
x f(x)
6 8
-1 6
0,4 4
-5, 9 14
