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4 years ago

Identify the vertex of the function graphed below

Mathematics

1 answer:

kati45 [8]4 years ago

5 0

Answer:

The vertex is (3, -2).

Step-by-step explanation:

When looking at a graph of a parabola, the vertex is the highest or lowest point of the parabola, depending on whether it opens up or down. Here, it opens up, so the vertex here is the lowest point.

So once you figure that out, you just have to look at what the point's coordinates are, and for this problem, the vertex is at (3, -2).

I hope this helped you, and if I was correct, I'd appreciate if you marked my answer as Brainliest :)

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Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches 5 where f of x equals 5 minus x when x is les

Tamiku [17]

It looks like we have

$f(x)=\begin{cases}5-x&\text{for }x5\end{cases}$

and we want to find $\lim\limits_{x\to5}f(x)$ .

Since $x$ is approaching 5, we don't care about the value of $f(x)$ when $x=5$ .

We do care about how $f(x)$ behaves to either side of $x=5$ . If $x\to5$ from below, then $f(x)=5-x$ , so that

$\displaystyle\lim_{x\to5^-}f(x)=\lim_{x\to5}(5-x)=5-5=0$

On the other hand, if $x\to5$ from above, then $f(x)=x+3$ , so that

$\displaystyle\lim_{x\to5^+}f(x)=\lim_{x\to5}(x+3)=5+3=8$

The one-sided limits do not match, since 0 ≠ 8, so the limit does not exist.

6 0

4 years ago

Lyle went fishing for 1 hour and 30 minutes until he ran out of bait at 6:40 p.m. At what time did Lyle start fishing? *

lilavasa [31]

Answer:

he started fishing by 5:10pm

Step-by-step explanation:

just subtract 1:30 from 6:40

3 0

4 years ago

The length of one leg of a right triangle is 16 ft, and the length of the hypotenuse is

OLga [1]

The length of other leg is 30 ft

Look at the attached picture

Hope it helps...

Good luck on your assignment

3 0

3 years ago

Read 2 more answers

Given (x)=-x²+2x,determine F'(x) using first principle

mote1985 [20]

Hello,
which principle?

f(x)=-x²+2x
==>f'(x)= -2x+2

You mean maybe this

$\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}$

f(x+h)=-(x+h)²+2(x+h)= -(x²+2hx+h²)+2x+2h
f(x)=-x²+2x

$\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}=\lim_{h \to 0}\frac{-2hx-h^2+2h}{h}=\lim_{h \to 0}\frac{-2x-h+2}{1}=-2x+2$

6 0

3 years ago

Please help and explain ty

Nikolay [14]

Answer: That is a Acute angel and a Obtuse angel

Step-by-step explanation: I know that thats an Acute Angel because its shaped like one and looks like one and Acute angels are only 79% of Area. Than the 13 cm will be a 60% obtuse Angel.

5 0

3 years ago