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denis-greek [22]
3 years ago
11

(07.01 MC)

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

Charlie's solution is incorrect.


Part A: The equation must be divided by the number next to the variable. So 5x will be divided by 5 which will equal x, and 30 will be divided by 5 which equals 6. The final answer will be x=6.


Part B: The equation will have one solution because there is only one way to solve it.


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What is the answer 5/3+2/4=
noname [10]

Answer:5/3 + 2/4 = 13 /6 = 2 1 /6  ≅ 2.1666667

Step-by-step explanation:

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Equation (in vertex form) for a parabola opening upward, shifted 7 units right and 4 units down
ladessa [460]
Right= negative. Down=negative. Answer: (-7-4)
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ziro4ka [17]
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3 0
3 years ago
Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
Minchanka [31]
<h3>Answer:  12</h3>

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

Explanation:

The two integers multiply to 36, so,

ab = 36

which solves to

a = 36/b

Then we want to add the numbers such that we get the smallest possible result.

a+b = (36/b)+b

So we want (36/b)+b to be as small as possible.

Let's say we replace b with x and we consider this function

f(x) = (36/x) + x

The goal is to find when f(x) is smallest, ie, we want to minimize the function.

If we were to graph out the function, we get the curve shown below.

To make things easier, we'll only focus on positive values of x.

The lowest part of the curve is what we're after. Using the "minimum" function/feature on the graphing calculator, we would then find the lowest point occurs at (6,12). This point is considered a local minimum because it's the lowest point in that given neighborhood of x values.

So the input x = 6 leads to the smallest output f(x) = 12.

This in turn means b = 6 is going to pair with a = 36/b = 36/6 = 6.

In short, a = 6 and b = 6.

----------------------

As a check,

a*b = 6*6 = 36

a+b = 6+6 = 12

We can make a table of various values to help confirm that 12 is the smallest sum.

Side note: If you're not allowed to use a graphing calculator, then you'll need to use calculus.

8 0
3 years ago
A mechanic charges $330 for 6 hours of labor.
kompoz [17]
For 6 hours charges $330

for 9 hours charges x
---------------------------------

 x = 9*330/6 = 495 so choice C. is right 
5 0
3 years ago
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