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faltersainse [42]
3 years ago
8

How do I find a parallel equation?​

Mathematics
1 answer:
STatiana [176]3 years ago
6 0
Parallel are two equations that have the same slope but different y intercepts.

If the y intercepts are also the same, it is just the same line.
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1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and
Korvikt [17]

Answer:

A. <em>[0, 65]</em>

Step-by-step explanation:

Given that

Distance that Marcus drives every day = 32 miles.

The table having average speed as input and time taken as output is shown below in the table format:

\begin{center}\begin{tabular}{ c c}Speed(mph) & Time(minutes) \\ 60 & 32  \\  45 & 43  \\   55 & 35  \\ 50 & 38  \\ 62 & 31   \\\end{tabular}\end{center}

To find:

The domain that includes all possible average speeds using interval notation = ?

Solution:

First of all, let us understand what is a domain of a function.

Domain of a function is set of valid input values that can be provided to the function so that it has a valid output.

If a function is written as:

y=f(x) then values of x are the input given to the function.

In the given question statement, we are given that maximum Average speed attained by Marcus is 65 miles per hour.

That means domain has a maximum value of 65.

Let us learn something about interval notation.

( or ) means the value is not inclusive.

[ or ] means the value is inclusive.

Here 65 will be inclusive.

On the left side of comma, lower value is written and on the right side of comma, larger value is written.

So, domain for the current situation will be:

<em>[0, 65]</em>

<em></em>

0 is taken as the minimum value of domain here, because average speed value can not be negative.

This interval will contain all the possible values of input (average speed) as shown in the above table of values.

8 0
3 years ago
-9.5 is less than or greater than -9.6
ratelena [41]
Greater than because they are negative
6 0
3 years ago
Read 2 more answers
Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
Goryan [66]

Answer:

He can make only one batch of cookies.

Step-by-step explanation:

Just by mental math you can say he can make maximum one batch of cookies.

Total sugar = 10 cups

sugar used for lemonade = 2 cups

leftover sugar = 8 cups

For 1 batch of cookie sugar needed = 11/2

which means 5 and 1/2 cups

And he's just left with 8 cups of sugar after lemonade

8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch

That means the maximum number of cookies batches is 1.

Another way to solve it by inequality:

2+Il/2 X <u><</u> 10

11/2 X <u><</u> 8

11X <u><</u> 16

X <u><</u> 1 6/11

So he can make only one batch of cookies.

3 0
3 years ago
What is the solution of the system of equations? y = –3x + 8 y = –5x – 2
jekas [21]
y=-3x+8 \\ y=-5x-2 \\  \\ -3x+8=-5x-2 \\ -3x+5x=-2-8 \\ 2x=-10 \\ x=- \frac{10}{2}  \\ x=-5 \\ y=-3(-5)+8=15+8=23  \\ \\ \boxed{-5,23}
6 0
3 years ago
Read 2 more answers
can mrs davis and her two sisters get their hair colored for less than $100 (cost of the hair coloring is $28.95)if they include
vodomira [7]
Yes they would be able to . well depends if that is a $10 overall they would be able to it would be a total of $96.85 not including the tax .
6 0
3 years ago
Read 2 more answers
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