Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-(1 + 7x) - 6(-7 - x) = 36
Step 2: Solve for <em>x</em>
- Distribute: -1 - 7x + 42 + 6x = 36
- Combine like terms: -x + 41 = 36
- Subtract 41 on both sides: -x = -5
- Divide both sides: x = 5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-(1 + 7(5)) - 6(-7 - 5) = 36
-(1 + 35) - 6(-12) = 36
-(36) + 72 = 36
-36 + 72 = 36
36 = 36
Answer:
<h2>In the attachment</h2>
Step-by-step explanation:
Convert to the slope-intercept form (<em>y = mx + b</em>):
y - 2 = -(x + 1) <em>use the distributive property</em>
y - 2 = -x - 1 <em>add 2 to both sides</em>
y - 2 + 2 = -x - 1 + 2
y = -x + 1
We only need two points to plot the graph of the linear function.
Select any two x values. Insert them into the equation.
Calculate the value of y.
For x = 1:
y = -1 + 1 = 0 → (1, 0)
For x = 0:
y = -0 + 1 = 1 → (0, 1)
So let’s imagine this on a number line…so we know that the fish starts at -17 1/3 on the number line but he dives (that means go lower in our number line) 6 1/2 feet downward so let’s set up an equation:
-17 1/3 - 6 1/2
Now, let’s subtract the two integers by finding the least common denominator of 2 and 3 so it can be easier to solve in this case it’s 6…then let’s set up our new equation:
-17 2/6 - 6 3/6
We know it’s a negative number since we are subtracting a negative number and our final answer is -23 5/6
19.2 is the answer because if you move the decimal over until its a whole then just divide
