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postnew [5]
4 years ago
10

What is the solution set of the following equation?

Mathematics
2 answers:
Sladkaya [172]4 years ago
7 0

Answer:

Option A) \phi is the solution set for given equation.            

Step-by-step explanation:

We are given the following equation in the question:

-8x + x + 15 = -7x + 12

Solving the given equation, we have:

-8x + x + 15 = -7x + 12\\-7x + 15 = -7x + 12\\-7x + 7x + 15 = -7x + 7x + 12\\15 = 12\\\text{which is never possible}

Hence the given equation has no solution.

Thus, the solution set can be represented by a null set which can be represented as \phi

Option A) \phi is the solution set for given equation.

alex41 [277]4 years ago
3 0
The solution to this problem is A.
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Suppose you had d dollars in your bank account. You spent $22 but have at least $42 left. How much money did you have initially?
german
1) What left

\boxed {d-22 \geq 42}

*Obs: remember that left at least 42 dollars. In other words, the left over is equal or more than 42 dollars.

2) At the beginning

 d-22 \geq 42 \\  \\ \boxed {d \geq 64}

Letter C
4 0
3 years ago
a company that manufactures bicycles has a fixed cost of $80,000. it costs $100 to produce each bicycle. the total cost for the
frez [133]

C(x) = 80000 + 100x is the total cost as function of number of cycles produced

C(90) = 89000 and it costs $ 89000 to produce 90 bicycles

<em><u>Solution:</u></em>

Given that, company that manufactures bicycles has a fixed cost of $80,000

Fixed cost = $ 80,000

Let x be the number of cycles produced

Let C(x) be the total cost as function of number of cycles produced

It costs $100 to produce each bicycle

Variable cost = 100 x number of cycles produced

variable cost = 100x

The total cost for the company is the sum of its fixed cost and variable costs

total cost = fixed cost + variable cost

C(x) = 80000 + 100x

Thus total cost as function of "x" is found

<em><u>Find and interpret C(90)</u></em>

Substitute x = 90 in C(x)

C(90) = 80000 + 100(90)

C(90) = 80000 + 9000

C(90) = 89000

Thus it costs $ 89000 to produce 90 bicycles

3 0
3 years ago
Evaluate a+b for a=-17 and b=8
In-s [12.5K]

25

substitute 17 for A

substitute 8 for B

should look like this

17+8

then add

should look like this

17+8=25

8 0
3 years ago
And an electronics warehouse ships TVs and DVD players to retailers all throughout the United States. The weight of three televi
vodomira [7]
X= weight of TV
y= weight of CD

3x+5y= 62.5
3x+ 2y= 52
You can either solve for a variable, or eliminate a variable by subtracting the second equation from the first:

3x + 5y = 62.5
-(3x+2y = 52)
0 + 3y = 10.5, so y = 10.5/3 or 3.5.

Now plug y= 3.5 back into any equation to get x:

3x + 5(3.5) = 62.5
3x + 17.5 = 62.5
3x = 45
x = 15
Always check work. Both equations should be true for x=15, y= 3.5
4 0
3 years ago
John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper
Setler79 [48]

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

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Subtract these two equations:

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Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

4 0
3 years ago
Read 2 more answers
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