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3 years ago

PLSSSSSHELPMEWITHTHISONEQUESTIONPLEASE

Mathematics

1 answer:

Doss [256]3 years ago

7 0

Answer:

She can buy no more than 22 decorations

Step-by-step explanation:

The costs for the party are food and decorations

Cost = food + decorations * costs per decoration

We can spend no more than 300

Food is 75

Decorations are 10 each

Let d= the number of decorations

300 >= 75 + 10 * d

Subtract 75 from each side

300-75 >= 75-75 + 10 * d

225 >= 10d

Divide each side by 10

225/10 >=10d/10

22.5 >=d

She can buy no more than 22 decorations

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4 years ago

Given f(x) =

sergejj [24]

Answer:

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 next three terms of the arithmetic sequence: 94, 78, 62, 46

worty [1.4K]

94,78,62,46,30,14

This is correct because you need to subtract 94 and 78 and you get 16 which is the number you get from all of the pairs. Then you subtract 16 from 46 to get 30 and 16 from that to get 14.

3 0

3 years ago