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2 years ago

The bank charges 4 dollars a day for accounts under $100. Lisa's account had a balance of $15. What would the y-intercept be?

Mathematics

1 answer:

Archy [21]2 years ago

8 0

Answer:

her y intercept would be $15.

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Is 54 a rational number ?

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Yes 54 is a rational number because it can expressed as the quotient of two integers : 51 divide by 1

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3 years ago

Complementary angles definition geometry

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Two angles that added together equal 90 degrees

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3 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.

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3 years ago

How many lines of symmetry does a triangle have?

lora16 [44]

It has three lines of symmetry.

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3 years ago

Determine if the two triangles are congruent. If they are, how you know.

Katena32 [7]

Answer:

ASA because there's two angles and a side

3 0

3 years ago

Read 2 more answers