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3 years ago

A remote control car races straight down the street at 26 miles per hour. Two

Mathematics

1 answer:

WINSTONCH [101]3 years ago

8 0

Answer:

Step-by-step explanation:

In order to find when the other car catches up to the other, you need to graph the distance and time for both cars. The linear function will represent their rate of speed, when the lines intersect, that is when car 2 catches up to car 1.

Hope this helps.

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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

What are the domain and range of this function y=(x+3)^2 -5

n200080 [17]

Answer: Choice A

Note: the range should be $[-5, \infty)$ . See explanation below.

===================================================

We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say $(-\infty, \infty)$ which is interval notation. It represents the interval from negative infinity to positive infinity.

The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that $y \ge -5$ and that translates to the interval notation $[-5, \infty)$ .

The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote $(-5, \infty)$ for choice A, when they should have written $[-5, \infty)$

I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.

8 0

3 years ago

Read 2 more answers

2. What are all the possible rational roots of the polynomial P(x) = 5* + 2003 + 2x2 +4?

Crank

Step-by-step explanation:

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is 7" role="presentation" style="margin: 0px; padding: 0px; box-sizing: border-box; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; font-size: 16px; line-height: normal; font-family: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">77.

Find its factors (with the plus sign and the minus sign): ±1" role="presentation" style="margin: 0px; padding: 0px; box-sizing: border-box; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; font-size: 16px; line-height: normal; font-family: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">±1±1, ±7" role="presentation" style="margin: 0px; padding: 0px; box-sizing: border-box; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; font-size: 16px; line-height: normal; font-family: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">±7±7.

These are the possible values for p" role="presentation" style="margin: 0px; padding: 0px; box-sizing: border-box; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; font-size: 16px; line-height: normal; font-family: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">pp.

The leading coefficient (the coefficient of the term with the highest degree) is 2" role="presentation" style="margin: 0px; padding: 0px; box-sizing: border-box; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; font-size: 16px; line-height: normal; font-family: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal;

7 0

2 years ago

The sum of the first 21 terms of the progression, - 18, - 15,-12.....is?

katovenus [111]

You can just use the tn formula to solve this tn= t1 + (n-1)d

8 0

3 years ago

Which equation represents a line which is parallel to the line 4y-x=-24?

Deffense [45]

Answer:

Y= 1/4x-3

Step-by-step explanation: