Answer:
<em>x</em>>2
Step-by-step explanation:
The first thing you need to do is distribute.
2 time 5 and 2 time -3x; -4 times 3 and -4 times -x.
After that you would get 10-6x < x-12+4x.
Now combine like terms. The only like terms are on the right side: x and 4x.
Now it's 10-6x < 5x-12.
Now put <em>x</em><em> </em>on one side. I prefer to work with a positive <em>x</em> so I would move it to the right.
Now it's 10 < 11x-12.
Isolate the <em>x</em><em>.</em><em> </em>Move the -12 first
Now it's 22<11x.
Divide by 11 next.
Now it's 11<x.
Switch it around so it's easier to interpret for the graph.
Final written inequality is x>11.
Graph the line x= 11 but with a dotted line because it is not equal to 11.
Color in everything to the right of the line because everything greater than x is to the right.
Answer:
<u>The third table is an arithmetic sequence </u>. Its difference is -1.4.
Step-by-step explanation:
In an arithmetic sequence the difference between one term and the next is a constant
8.7 - 1.4 = 7.3
7.3 - 1.4 = 5.9
5.9 - 1.4 = 4.5
4.5 - 1.4 = 3.1
Answer: The first one is "translated 4 units down". The second one is "vertically stretched by a factor of 4".
Recall that y = f(x). When we say f(x)-4, we really mean y-4 so that means each y coordinate of all the points on the graph have been reduced by 4. Visually this shifts the graph down 4 units. A translation in geometry is the technical term for shifting.
When we say 4*f(x), we are multiplying each y coordinate by 4. A point like (1,2) turns into (1,8) for instance. If you apply this to every point on the graph, then the curve is stretched vertically to be 4 times taller than it usually is; which is an informal way of saying "vertically stretched by a factor of 4"
An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.
From the given parameters, we are to write out five iterations for a triple integral;
where;
- the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.
Thus, since x, y, z are functions of at least one variable, we can have the following iterations:
Learn more about iterated integrals here:
brainly.com/question/7009095
24q^2 / 8q^-3
lets break this down...
24/8 = 3
q^2 / q^-3....when dividing exponents with the same base, keep the base and subtract the exponents. q^2 / q^-3 = q^(2 -(-3) = q^(2 + 3) = q^5
put them together and u get : 3q^5