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Nat2105 [25]
3 years ago
5

Admira is painting a rectangular banner 2 1/4 yards wide on a wall in the cafeteria. The Banner will have a blue background. Adm

ira has enough blue paint to cover 1 1/2 square yards of wall. Find the height of the banner if Admira uses all of the blue paint.
Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0
The solution to the problem is as follows:

<span>Area=h×w

</span><span>1(1/2) = h × 2 (<span>1/4)

</span></span><span>⟹3/2 = h × <span>9/4

</span></span><span>h = 3/2 ÷ <span>9/4

</span></span><span>Therefore, the height will be 2/3 yards if we use all the blue paint.
</span>

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
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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
10. Select all that are true for the graph that represents
Likurg_2 [28]

Answer:

A, C and F

Step-by-step explanation:

The given function is

f(x)=5(3)^x

It is an exponential function of the form

f(x)=a(b)^x

On comparing both the functions, we get

a=5,b=3

It means the initial value is 5 and growth factor is 3.

Since both values are positive it means the given functions is an exponential growth function, therefore,

1. The graph is increasing by a common ratio of 3.

2. As x increases, y increases.

3. As x decreases, y approaches 0.

Hence, the correct options are A, C and F.

8 0
3 years ago
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Nata [24]

Answer:

quadrant 2

Step-by-step explanation:

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Henry is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Comp
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Answer:

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Step-by-step explanation:

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