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TEA [102]
4 years ago
10

|2n+5|>/9 solve for n?

Mathematics
2 answers:
levacccp [35]4 years ago
5 0
|2n+5|\geq9\iff2n+5\geq9\ or\ 2n+5\leq-9\ \ \ |subtract\ 5\ from\ both\ sides\\\\2n\geq4\ or\ 2n\leq-14\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{n\geq2\ or\ n\leq-7}\\\\Answer:\boxed{\boxed{n\in(-\infty;-7]\ \cup\ [2;\ \infty)}}
borishaifa [10]4 years ago
3 0
|2n+5|\geq9\\
2n+5\geq 9 \vee 2n+5\leq-9\\
2n\geq4 \vee 2n\leq-14\\
n\geq2 \vee n\leq-7\\
n\in(-\infty,-7\rangle\cup\langle2,\infty)
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Name the intersection of planes ABFE and BFCD.
Mkey [24]

Two planes intersect in a line that contain all common points of these two planes.

1. Plane named ABFE contains points A, B, F and E.

2. Plane named BFCD contains points B, F, C and D.

As you can see points B and F are common points for these two planes, then the line of intersection is BF and its notation is \overleftrightarrow{BF}.

Note that notation \overline{BF} stays for segments and notation \overrightarrow{BF} stays for rays.

Answer: correct choice is A.

6 0
3 years ago
A rectangle has side lengths of 8m and 3m. What is the area?
jonny [76]

Answer:

24m^2

Step-by-step explanation:

to find the length of a rectangle you do base x height. this means that 8m x 3m is 24m^2

8 0
3 years ago
Estimate the error if t6 (trapeziod rule with n=6) was used to calculate ∫30cos(2x)dx.
Hunter-Best [27]
The error bound for a trapezoid rule is given with this formula:
|E_t|\leq\frac{K(b-a)^3}{12n^2}
Where n is the number of points we used in the approximation, a and b are starting and ending point of an integral, and K is the number such that:
|f''(x)|\leq K
In order to find K we must find the second derivative of our function:
f(x)=30\cos(2x)\\ f'(x)=-60\sin(2x)\\ f''(x)=-120\cos(2x)
From this, we can see that our K is 120. This is the amplitude of this periodic function.
Now we can calculate the error bound:
E_t|\leq\frac{120(b-a)^3}{12\cdot6^2}=\frac{120}{432}(a-b)^3
Since you did not specify the interval of integration I cannot compute the final error bound. You can simply plug in the numbers to get the answer.
7 0
3 years ago
Please help me! I have no idea how to do this
elena-s [515]

The best way to do this is to make up values for the sides.

Say the lengths of square B's sides are each 4 cm. That means A's sides are 2 cm.

So, the area of square B is 4^2 = 16 cm^2, and A's area is 4 cm^2. We can see the shaded area is half of A, so it's 2 cm^2.

What percent of 16 is 2?

2 / 16 * 100 = 12.5%

5 0
3 years ago
Graph the linear equation in three plots: -x+2y=11
MariettaO [177]

Answer:

<h2>In the attachment.</h2>

Step-by-step explanation:

Convert the given equation to the form y = mx + b:

-x+2y=11          <em>add x to both sides</em>

2y=x+11          <em>divide both sides by 2</em>

y=\dfrac{1}{2}x+\dfrac{11}{2}

It's a linear function.

We need only two points to plot the graph. Select any two x values, insert into the equation and calculate y values.

for x = 1

y=\dfrac{1}{2}(1)+\dfrac{11}{2}=\dfrac{1}{2}+\dfrac{11}{2}=\dfrac{12}{2}=6\to(1,\ 6)

for x = -5

y=\dfrac{1}{2}(-5)+\dfrac{11}{2}=-\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{6}{2}=3\to(-5,\ 3)

3 0
3 years ago
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