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snow_lady [41]
3 years ago
12

What multiples to 42 and adds to -2

Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

Step-by-step explanation:

xy = 42

x+y = - 2                   Substitute into the top equation

y = -2 - x                   Put in for y

x(-2 - x) = 42             Remove the brackets

-2x - x^2 = 42           Subtract 42 from both sides.

-2x - x^2 - 42 = 0      Put in the more normal order.

-x^2 - 2x - 42 = 0      Multiply by -1

x^2 + 2x + 42 = 0

This cannot be factored. It gives complex roots as it is written. I will give you the answer but I kind of doubt the question is correct.

x1 = - 1 + 6.40i

x2 = -1 - 6.40i

Leave a comment if you have a correction.

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What is the sign of −4ab when a>0 and b<0?
AVprozaik [17]

Answer:

A

Step-by-step explanation:

We have the expression:

-4ab

And we want to find its sign given that a>0 and b<0.

Notice that the expression is already negative since we have -4.

a>0 means that a is positive. Therefore, we can ignore it since it won’t do anything.

b<0 means that b is negative. Therefore, we will have two negatives being multiplied together. Hence, this will make a positive.

Therefore, the sign of our expression will be positive.

We can see this with an example. Let a=1 (1>0) and let b=-1 (-1<0). Then:

-4(1)(-1)=4

So, the sign is positive.

Hence, the answer is A.

7 0
3 years ago
What is the inverse function of f(x) = 25x-3?
Harrizon [31]

Answer:

The answer is

<h2>{f}^{ - 1} (x) =  \frac{x +3 }{25}</h2>

Step-by-step explanation:

f(x) = 25x - 3

To find the inverse of f(x) , equate f(x) to y

That's

y = f(x)

We have

y = 25x - 3

Next interchange the terms that's x becomes y and y becomes x

x = 25y - 3

<u>Next solve for y</u>

Move 3 to the other side of the equation

That's

25y = x +  3

<u>Divide both sides by 25</u>

\frac{25y}{25}  =  \frac{x + 3}{25}

We have the final answer as

{f}^{ - 1} (x) =  \frac{x +3 }{25}

Hope this helps you

5 0
3 years ago
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciat
Dmitrij [34]

The coefficient (m) of the expression represents: C. the monthly depreciation value of the gadget.

<h3>What is depreciation?</h3>

Depreciation can be defined as a process in which the monetary value of a physical asset decreases or falls over a period of time, especially due to wear and tear.

In this scenario, we can infer and logically deduce that the coefficient (m) of the given expression represents the monthly depreciation value of Megan's gadget.

Read more on depreciation here: brainly.com/question/25806993

#SPJ1

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2 years ago
Match each expression with the equivalent expression.
otez555 [7]
Hope this helps good luck

3 0
3 years ago
Write and solve an equation to find the unknown side length x (in feet).
Setler79 [48]

Answer:

11.9 feet

Step-by-step explanation:

We want to find the value of 'x' and we are asked to set up an equation to find the value of x. In equation we must remember to get all the numerical values to one side and all the non-numerical values to the other while remembering to keep the equation balanced for example if we add 4 on one side we must do it to the other side to keep the equation balanced so,

→ x + 5.2 + 11.1 + 6.4 = 34.6

⇒ Simplify equation

→ x + 22.7 = 34.6

⇒ Minus 22.7 from both sides to isolate x

→ x = 11.9 feet

7 0
3 years ago
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