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Illusion [34]
2 years ago
5

The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.

Mathematics
1 answer:
solmaris [256]2 years ago
4 0

The true statement about the quadratic function is that it has two distinct real zeros

<h3>How to interpret the quadratic function?</h3>

The given parameters are:

  • x-intercepts = 2 i.e. intercepts the x-axis in two places
  • y-intercept = 1 i.e. intercepts the y-axis in one place

The first highlight above means that, the function can be represented as:

y = a(x - x1)(x -x2)

Where x1 and x2 are the x-intercepts

This also means that the quadratic function has two distinct real zeros

Read more about quadratic functions at:

brainly.com/question/7323175

#SPJ1

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svetlana [45]

Answer:

−(7p+6)−2(−1−2p) = - 3p - 4

Step-by-step explanation:

−(7p+6)−2(−1−2p) = -7p - 6 + 2 + 4p

                            = (-7p + 4p) + (2 - 6)

                            = -(7p - 4p) - (6 - 2)

                           = - 3p - 4

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2 years ago
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3 years ago
Use the graph below to list the x value(s) where the limits as x approaches from the left and right of those integer values(s) a
kirza4 [7]
<span>the limits as x approaches from the left and right of 1 is not equal.</span>
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3 years ago
Harry’s basic rate is $22.00 per hour. If overtime is paid at time-and-a-half, how much will
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6 0
3 years ago
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
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