Answer:
x < -1
Step-by-step explanation:
Step 1: Write out inequality
-10 + x + 4 - 5 > 7x - 5
Step 2: Solve
x - 6 - 5 > 7x - 5
x - 11 > 7x - 5
-11 > 6x - 5
-6 > 6x
-1 > x
Step 3: Rewrite
x < -1
Answer:
If you want me to turn it into an equation it's: y=12x-1
Step-by-step explanation:
Well, the slope will always be first and you have to put x after it. The y-intercept is always the starting point on a graph, so it'll be last on the equation.
The correct expression is (a) n = 100; (x + 10)^2
<h3>How to determine the value of n?</h3>
The expression is given as:
x^2 + 20x + n
Take the coefficient of x
k = 20
Divide by 2
k/2= 10
Square both sides
(k/2)^2 = 100
The above value represents the value of n
i.e.
n = 100
So, we have:
x^2 + 20x + 100
Expand
x^2 + 10x + 10x + 100
Factorize
x(x + 10) + 10(x + 10)
Factor out x + 10
(x + 10)^2
Hence, the correct expression is (a) n = 100; (x + 10)^2
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The minimum and maximum number of hours the plane will travel at that speed are; at least 0.875 hours and at most 1.375 hours
<h3>How to Solve Absolute Value Inequality?</h3>
We are given that the speed of the plane is 200 miles per hour.
Now, formula for time taken is;
Time = Distance/Speed
If the speed is 225 ± 50 miles, then it means that;
Maximum distance = 275 miles
Minimum distance = 175 miles
Thus, we can say that;
Minimum number of hours = 275/200 = 1.375 hours
Maximum number of hours = 175/200 = 0.875 hours
Read more about Absolute Value Inequality at; brainly.com/question/13282457
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