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SOVA2 [1]
3 years ago
6

When solving the equation such as 2/3x = 4/5 , why would you multiply both sides of the equation by the reciprocal of 2/3 ?

Mathematics
1 answer:
barxatty [35]3 years ago
7 0
Answer: Well you’re solving for “x,” so you’ll need to isolate this variable. This means we need to “get rid of” the fraction 2/3 that is attached to it. The faction is attached by the operation multiplication, so to remove it we must divide it on both sides. And division with fractions requires the reciprocal. (Try watching an explanation if you’re confused on why division requires reciprocals).
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Which of the following equations best represents the graph of a function f(m)?
Inessa [10]

Answer: y = f(m)


Justification:


By definition, the graph of a function in the cartesian coordinate plane is the plot of the curve that join all the points that satisfy the equation of the function.


In the cartesian coordinate plane, each point is represented by a pair of coordinates (y, x). y is the value of the function f(x), and x is any input value of the function.


In this case, the function is given as f(m), which means that the input value is represented by m.


Hence, the graph is the plot of y = f(m).


The choice of the letter used for the variable is completely arbitrary and does not change either the math or the graph. It could have been said that the function is f(x) in which case the graph would be y = f(x). Nothing changes but the name that you use.

4 0
3 years ago
If Peter withdrew $47.27 from the bank and deposited $598, how would his bank account change? (Indicate how much his account wou
fredd [130]

Answer:

Since we do not know the balance we should start with, a general answer:

b_{new} = b_{old} + \sum_{i} d_{i} - \sum_{j} w_{j} \\

598 - 47,27 = 550,73, assuming b_old was 0$ for your example

Step-by-step explanation:

b stands for balance (old - before any deposits or withdrawals, new after all done)

d for deposits

w for withdrawals

5 0
3 years ago
Simplify the following expression 3 x 6 + 5 x 2 diveded by 7
KATRIN_1 [288]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Jake wants to surprise his parents with a small anniversary party at their favorite restaurant.
ch4aika [34]

Answer:

16 people

Step-by-step explanation:

35.75 times 16 is 572, times 17 is 607.75, he only has 600 and he cant have a fraction of a person, so he can have 16 people

4 0
3 years ago
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Which interval is the solution set to 0.35x - 4.8 < 5.2 -0.9x?
8_murik_8 [283]

Answer:  (-\infty, 8)

Step-by-step explanation:

Given the following inequality:

0.35x - 4.8 < 5.2 -0.9x

You need to solve for "x" in order to find the solution.

The steps are:

1. Add 0.9x to both sides of the inequality:

0.35x - 4.8+0.9x < 5.2 -0.9x+0.9x\\\\1.25x-4.8

2. Add 4.8 to both sides:

1.25x-4.8+4.8

3. Divide both sides by 1.25:

\frac{1.25x}{1.25}

Notice that "x" is  less than 8. This indicates that 8 is not included in the solution and you must use parentheses.

The solution in Interval notation is:

(-\infty, 8)

8 0
3 years ago
Read 2 more answers
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