Now that we’ve learned how to solve word problems involving the sum of consecutive integers, let’s narrow it down and this time, focus on word problems that only involve finding the sum of consecutive even integers.
But before we start delving into word problems, it’s important that we have a good understanding of what even integers, as well as consecutive even integers, are.
Even Integers
We know that even numbers are integers that can be divided exactly or evenly by 22. Thus, the general form of the even integer nn, is n = 2kn=2k, where kk is also an integer.
In other words, since even numbers are the multiples of 22, we can represent an even integer nn by 2k2k, where kk is also an integer. So if we have the even integers 1010 and 1616,
Answer:
undefined
Step-by-step explanation:
Answer! :
y = -2x + 5
Step by Step! :
slope intercept form:
y = mx + b
m being slope, b being the y intercept.
To find the slope, use this equation:
y^2 - y^1 / x^2 - x^1
Plug in your points.
(-1) - (7) / (3) - (-1)
-8 / 4
-2 is your slope! (y = -2x + b)
To solve for b, plug in any one of your points and solve for b. Let's use (3, -1)
-1 = -2(3) + b
-1 = -6 + b
5 = b
Your new equation is...
y = -2x + 5
Answer:
x=8
Step-by-step explanation:
This image shows the process to find x.I hope you find this helpful!
Answer:
The value of f(1) is smaller than the value of f(3)
Step-by-step explanation:
<u><em>The correct question is</em></u>
Given the function f(x) = 2x^2 + 3x + 10, find f(1) and f(3). Choose the statement that is true concerning these two values.
The value of f(1) is the same as the value of f(3).
The value of f(1) cannot be compared to the value of f(3).
The value of f(1) is larger than the value of f(3).
The value of f(1) is smaller than the value of f(3)
we have

step 1
Find out the value of f(1)
substitute the value of x=1 in the function f(x)
so
For x=1


step 2
Find out the value of f(3)
substitute the value of x=3 in the function f(x)
so
For x=3


step 3
Compare the values
37> 15
so
f(3) > f(1)
or
f(1) < f(3)
therefore
The value of f(1) is smaller than the value of f(3)