Answer:
x = 4
Step-by-step explanation:
First let's assume that the table contains points on a straight line. Then all we have to do is to determine the slope of that line.
Suppose we go from (0,3) to (7,-28.5).
-28.5-3 -31.5
Then the slope, m, is m = ------------- = ---------- = - 9/2, or - 4.5.
7-0 7
Let's check this result!
Suppose that y = mx + b governs the relationship between x and y.
Then y = -4.5x + b
suppose we find b by substituting the coordinates from the point (0,3):
3 = -4.5(0) + b
Then b = 3, and y = -4.5x + 3. Does the point (-2,12) satisfy this equation?
Does 12 = -4.5(-2) + 3? Does 12 = 9 + 3? YES.
So y = -4.5x + 3 is the equation from which these points came, and the rate of change of y with respect to x is the slope m = -4.5, or m = -9/2.
7/10 is 17th term of sequence a₁₆ = 1/5, d= 1/2.
Given the 16th term and the common difference, we add the common difference from the 16th term to determine the 17th term:
a₁₇ = a₁₆ + d
= 1/5 + 1/2
= 7/10
<h3>How to solve an equation?</h3>
To solve linear equations, utilize the steps that are provided below.
- Remove parentheses from each side of the equation and combine similar terms to make it simpler.
- To separate the variable term on one side of the equation, use addition or subtraction.
- To find the variable, use division or multiplication.
- The common denominator can be multiplied by each side of the equation to eliminate fractions.
Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
Learn more about linear equations
brainly.com/question/14323743
#SPJ4
Answer:
D
Step-by-step explanation:
Because 15 1/2 ÷ 3 2/3 equals 4.22727272727 and 15 divided by 3 is 5, 15 divided b 4 = 3.75 16 divided by 3 is 5.33333333333 and 16 divided by 4 equals 4 so thats the closest answer
Hope this helps
