Step-by-step explanation:
<em>In the second column, we can see that every value of n is being added by 6. </em>
- Thus, the expression is n + 6.
<em>Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.</em>
<u>When n is 12:</u>
- n + 6 = 18
- 12 + 6 = 18
- 18 = 18
<u>When n is 15:</u>
- n + 6 = 21
- 15 + 6 = 21
- 21 = 21
<u>When n is 21:</u>
- n + 6 = 27
- 21 + 6 = 27
- 27 = 27
<em>Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.</em>
<u>Finding n + 6 when n is 28:</u>
- n + 6 = x
- 28 + 6 = x
- 34 = x
Thus, the missing value in the table is 34.
"of" means multiply
So 65% * 40
65% is the same as 0.65 (% means divide by 100).
0.65 * 40 = 26
26 games
Answer:
Step-by-step explanation:
Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.
In order to solve for the slope (<em>m </em>), use the following formula:
m = (y₂ - y₁)/(x₂ - x₁)
Let (x₁, y₁) = (3, 9)
(x₂, y₂) = (9, 1)
Substitute these values into the given formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 9)/(9 - 3)
Therefore, the slope of the line, m = -4/3.
Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:
y - y₁ = m(x - x₁)
⇒ This is the <u>point-slope form</u>.
Here we will use exponential form, which is
Initial value, y0 = 500
Double of 500 = 1000
Required equation is
Answer:
True
Step-by-step explanation:
Evaluate 18 x - 2 (3 x + 1) = 5 x - 16 where x = -2:
-2×18 - 2 (1 - 2×3) = -2×5 - 16
3 (-2) = -6:
-2×18 - 2 (-6 + 1) = -2×5 - 16
1 - 6 = -5:
-2×18 - 2-5 = -2×5 - 16
18 (-2) = -36:
-36 - 2 (-5) = -2×5 - 16
-2 (-5) = 10:
10 - 36 = -2×5 - 16
5 (-2) = -10:
10 - 36 = -10 - 16
10 - 36 = -26:
-26 = -10 - 16
-10 - 16 = -26:
-26 = -26
-26 is equal to -26:
Answer: True
