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3 years ago

Math help please, thx

Mathematics

1 answer:

pogonyaev3 years ago

5 0

The answer is radical 9

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Find lim f(x) if f(x) x->5 = { -x² -1, x #5 -3, x=5

Alex73 [517]

Given

$f(x) = \begin{cases} -x^2 - 1 & \text{if }x \neq 5 \\ -3 & \text{if }x=5 \end{cases}$

we have

$\displaystyle \lim_{x\to5} f(x) = \lim_{x\to5} (-x^2-1) = -5^2-1 = \boxed{-26}$

since we are approaching $x=5$ , so effectively $x\neq 5$ and we use the definition of $f(x)$ under that condition.

3 0

1 year ago

Solve for x. 5+(x-2)=-8

Arte-miy333 [17]

Answer:

x = -11

Step-by-step explanation:

First, get rid of parentheses:

5 + x - 2 = -8

Then, simplify:

3 + x = -8

Finally, subtract 3 on both sides:

x = -11

Hope this helps ^^

7 0

3 years ago

Read 2 more answers

One angle of a right triangle measures 70 degrees. What is the other acute angle?

Sunny_sXe [5.5K]

Answer:

20 degrees

Step-by-step explanation:

A triangle's angles should 180 degrees added together, so 90 + 70 = 160, leaving 20 for the last angle.

4 0

3 years ago

Find the 17th term in the sequence for which a1 = 10 and d = -3.

yKpoI14uk [10]

Answer:

d. -38

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is as follows:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

In this question:

$a_{1} = 10, d = -3$

17th term:

$a_{17} = a_{1} + (17-1)*d = 10 + 16*(-3) = -38$

So the correct answer is:

d. -38

6 0

3 years ago

Which of the following inequalities define a region that contains all of Quadrant 3?

Bingel [31]

Refer to the diagram shown below.

The shaded area satisfies the two inequalities
y > x - 1
and
y < 1 -x

Answer: A and D

3 0

3 years ago