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2 years ago

Choose the equation that shows a step in the

Mathematics

1 answer:

Schach [20]2 years ago

4 0

Answer:

Darul Huda Islamic School AlAin is a great place to work for and it is a great place to place to work for and it is a great place to work for and it is a great place to work for and it is a great place to work for and it is it is a great place to work for and it and it helps to know that they are they are very easy to for and and they are they are very good very good good at helping helping them them and they are they are they are very good very good at the نفس الآخر كنت هناك للأطفال وآبائهم لبضع سنوات وهم جيدون جدا جدا في نفس الطريق قبالة ولديهم جيدة

Step-by-step explanation:

Sent from my from my Huawei Huawei is a great place to work for and it is a great a great place to place to work for work for and it is a great place to work for and it is a great place to work for and it is a great place to work for and it is it is a great a great place to place to work for and it is a great place to work for and it is a great place to work for work for and it is a great place to work for and it is a great place to work for and it is a great place great place to work to work with with with with you and your family and your family family and friends with you and your family your family is is very important important to us and we are very happy to be able to able to make you feel like a like a single word in a way that you can get a little help from our beautiful and beautiful lovely wife and your beautiful family friends and family with you all the time for your wedding and wedding celebration

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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. [0, 65]

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:

[0, 65]

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

. Given ????(5, −4) and T(−8,12):

damaskus [11]

Answer:

a) $y=\dfrac{13x}{16}-\dfrac{129}{16}$

b) $y = \dfrac{13x}{16}+ \dfrac{37}{2}$

Step-by-step explanation:

Given two points: $S(5,-4)$ and $T(-8,12)$

Since in both questions,a and b, we're asked to find lines that are perpendicular to ST. So, we'll do that first!

Perpendicular to ST:

the equation of any line is given by: $y = mx + c$ where, m is the slope(also known as gradient), and c is the y-intercept.

to find the perpendicular of ST we first need to find the gradient of ST, using the gradient formula.

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

the coordinates of S and T can be used here. (it doesn't matter if you choose them in any order: S can be either x_1 and y_1 or x_2 and y_2)

$m = \dfrac{12 - (-4)}{(-8) - 5}$

$m = \dfrac{-16}{13}$

to find the perpendicular of this gradient: we'll use:

$m_1m_2=-1$

both $m_1$ and $m_2$ denote slopes that are perpendicular to each other. So if $m_1 = \dfrac{12 - (-4)}{(-8) - 5}$ , then we can solve for $m_2$ for the slop of ther perpendicular!

$\left(\dfrac{-16}{13}\right)m_2=-1$

$m_2=\dfrac{13}{16}$ :: this is the slope of the perpendicular

a) Line through S and Perpendicular to ST

to find any equation of the line all we need is the slope $m$ and the points $(x,y)$ . And plug into the equation: $(y - y_1) = m(x-x_1)$

side note: you can also use the $y = mx + c$ to find the equation of the line. both of these equations are the same. but I prefer (and also recommend) to use the former equation since the value of 'c' comes out on its own.

$(y - y_1) = m(x-x_1)$

we have the slope of the perpendicular to ST i.e $m=\dfrac{13}{16}$

and the line should pass throught S as well, i.e $(5,-4)$ . Plugging all these values in the equation we'll get.

$(y - (-4)) = \dfrac{13}{16}(x-5)$

$y +4 = \dfrac{13x}{16}-\dfrac{65}{16}$

$y = \dfrac{13x}{16}-\dfrac{65}{16}-4$

$y=\dfrac{13x}{16}-\dfrac{129}{16}$

this is the equation of the line that is perpendicular to ST and passes through S

a) Line through T and Perpendicular to ST

we'll do the same thing for $T(-8,12)$

$(y - y_1) = m(x-x_1)$

$(y -12) = \dfrac{13}{16}(x+8)$

$y = \dfrac{13x}{16}+ \dfrac{104}{16}+12$

$y = \dfrac{13x}{16}+ \dfrac{37}{2}$

this is the equation of the line that is perpendicular to ST and passes through T

7 0

3 years ago

What is the probability of picking a blue marble and rolling an odd number?

Paladinen [302]

Answer:

3/6 chance.

Step-by-step explanation:

To roll an odd number on a six sided dice (Guessing it's six sided) you would have to roll either a 1, 3, or 5. That would it 3 choices. You get the six by taking the amount (like the amount of sides on the dice). You would then have a 3/6 chance of rolling an odd number.

6 0

2 years ago

HELP! HELP! SAVE ME FROM THIS NIGHTMARE!!!

bazaltina [42]

Answer: x ≥ 6

Step-by-step explanation:

4 0

2 years ago

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The number of points scored by a basketball player in the first eight games of a season are shown below. 15, 35, 18, 30, 25, 21,

hichkok12 [17]

Answer:

im not sure how the data should be interpreted but here is the distribution. It goes up by .416

Step-by-step explanation:

the average of the first 8 games is 24

the average of the 12 games is 24.416

3 0

3 years ago