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malfutka [58]
3 years ago
8

-4(9 + 6) = plz help me

Mathematics
2 answers:
Arlecino [84]3 years ago
5 0

Greetings, the answer is 11.

OLga [1]3 years ago
5 0

Steps:

9+6=15

-4·15

-60

The correct answer is <em><u>-60</u></em>

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Given f(x) =
sergejj [24]

Answer:

A

Step-by-step explanation:

We are given the function:

\displaystyle f(x) = \left\{        \begin{array}{ll}            2\cos(\pi x) \text{ for }  x \leq -1 \\ \\          \displaystyle   \frac{2}{\cos(\pi x)}\text{ for } x > -1        \end{array}    \right.

And we want to find:

\displaystyle \lim_{x\to -1}f(x)

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

\displaystyle \lim_{x\to-1^-}f(x)

Since we are approaching from the left, we will use the first equation:

\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)

By direct substitution:

=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2

Right-Hand Limit:

\displaystyle \lim_{x\to -1^+}f(x)

Since we are approaching from the right, we will use the second equation:

=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}

Direct substitution:

\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2

So, we can see that:

\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

\displaystyle \lim_{x \to -1}f(x)=-2

Our answer is A.

8 0
3 years ago
Find the slope of the line passing through the points (7, -2) and (3, - 7).
professor190 [17]

Answer:

m = \frac{5}{4}

Step-by-step explanation:

To find the slope, we have to use the slope formula:

m = \frac{y_2 -y_1}{x_2 - x_1}.

Let (x_1,y_1) = (7, -2) and (x_2,y_2) = (3, -7). Then

m = \frac{(-7)-(-2)}{3-7} = \frac{-5}{-4} = \frac{5}{4}

3 0
2 years ago
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