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Charra [1.4K]
4 years ago
8

8. Solve.

Mathematics
1 answer:
trapecia [35]4 years ago
3 0

Answer:

48 assistants

Step-by-step explanation:

If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.

Thus:

1.5 assistants to 1 executive = x assistants to 32 executives

1.5 : 1 = x : 32

\frac{1.5}{1} = \frac{x}{32}

Cross multiply

1.5*32 = x*1

48 = x

Therefore, 48 assistants were employed in the office.

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What is the axis of symmetry for f(x)=5(x+7)(x-5)
Harman [31]
<span>What is the axis of symmetry for f(x)=5(x+7)(x-5)?  Multiply out this polynomial to obtain the equation of a parabola in the form y = ax^2 + bx + c.

f(x) = 5(x^2 - 5x + 7x -35)

Holding the coefficient 5, we have 1x^2 - 2x - 35.  Here a = 1 and b = -2, and
thus x = -b / (2a) provides the x-coord. of the axis of symm.  It is:

x = -(-2) / (2*1) = 1.

The axis of symmetry is the vertical line x = 1.</span>
8 0
4 years ago
What is the first step in solving the following equation?<br> 28 = -12 - 4x
alexgriva [62]

Answer:

<h3>4x = - 12 - 28</h3>

Step-by-step explanation:

When we transpose - 4x to the LHS then it becomes positive i.e +4x

Now we transpose 28 to the RHS then it becomes negative i.e - 28

So the first step you have to is,

<em>4x = - 12 - 28</em>

6 0
3 years ago
What is the value of k(-6)<br> Please help!!!
velikii [3]

Answer:

35

Step-by-step explanation:

This is a piecewise function.

Since the value being asked to evaluate is -6, choose the part of the function that is applicable.

You would focus on  x\geq -6 since you were given a -6 to evaluate.

Then use the expression that describes the function at that location.

x^{2} - 1

Plug in your value of -6

(-6)^{2}-1\\ 36-1\\35

4 0
3 years ago
The difference of x and 9 is at the most 25
steposvetlana [31]
I ain’t never seen two pretty best friends
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3 years ago
What is the relationship between the following two sequences?
LuckyWell [14K]

Answer:

The 1st option

Step-by-step explanation:

Notice in sequence 1, it is 1,6; 2,12

That is sequence 1 * 6 = sequence 2.

Hope this helps! Have a nice day!

4 0
3 years ago
Read 2 more answers
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