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podryga [215]
3 years ago
15

Solving quadratic equations is one of the main topics of this unit. Some quadratic equations can be solved with only one method,

some can be solved with multiple methods, and some can’t be solved at all. Think about a task in your daily life that can be accomplished in a variety of ways. How do you decide the best course of action for accomplishing that task? How is this process like choosing a method for solving a quadratic equation that can be solved in multiple ways?
Mathematics
1 answer:
Mariana [72]3 years ago
7 0

Hi there!

Many things we do in everyday life have a variety of ways we can go about accomplishing them, but we most often choose the most practical and efficient method.

Efficiency saves time and prevents over-complication, which may lead to errors.

We might need to identify the specifics of the task and its circumstances to be able to determine the most efficient method to do it.

Solving a quadratic equation, we also must think about the most efficient method that can lead us to the correct answer. And doing so, we must identify the circumstances of the equation; Can it be solved by factoring? Is it easy to factor? What form is this quadratic equation in?

For example, let's say we're given the equation (x-1)(x+2)=0. This is an equation in factored form. In these kinds of scenarios, we can <em>easily</em> solve by setting each term equal to 0 (the Zero Product Property). This is the <em>most efficient </em>method:

x-1=0 --> x=1

x+2=0 --> x=-2

I hope this helps!

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Please helpp geometry (click for picture)
NeTakaya

Answer:

20 degrees

Step-by-step explanation:

Since angle B and angle A are both inscribed angles to the same arc, they must be equal. Therefore:

7x-8=5x

Subtract 5x from both sides:

2x-8=0

Add 8 to both sides:

2x=8

Divide both sides by 2:

x=4

Now, you can plug this back into the equation for angle B:

B=7(4)-8

B=28-8

B=20

Hope this helps!

3 0
3 years ago
Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4
fomenos

Answer:

  x g(x)

  1 −10

  2 −12

  3 −14

Step-by-step explanation:

Substitute the values and do the arithmetic.

Table values for x are 1, 2, 3. We only need to find g(1) to determine which table is the correct choice.

  f(1) = 1 +4 = 5 . . . . . . . . . put 1 where x is and do the arithmetic

 g(1) = -2·f(1) = -2·5 = -10 . . . . . matches the 3rd choice

6 0
3 years ago
Solve equation 3x+3y+6z-15w=9​
Allushta [10]

Answer:

The equation is already solved.

8 0
3 years ago
Read 2 more answers
Drag numbers to use a negative factor to factor the expression -59 + 15h - 25. Numbers may be used once, more than once, or not
koban [17]

Answer:

-5(g - 3h + 5)

Step-by-step explanation:

Given

-5g + 15h - 25

Required

Factor using a negative factor

Express each term as a factor of -5

-5*g - 5*-3h - 5 * 5

Factor out -5

-5(g - 3h + 5)

Hence:

<em>The factored form of </em>-5g + 15h - 25<em> is </em>-5(g - 3h + 5)<em></em>

7 0
3 years ago
Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent th
hodyreva [135]

Answer:

There are 6 coins in nickels and 9 coins in quarters.

Step-by-step explanation:

Now, to find the solution.

According to question:

The number of nickels = x.

The number of quarters = y.

So, the total number of coins:

x+y=15.

He had 3 more quarters than nickels.

Thus,

y=x+3 .....(1)

Now, to get the solution:

x+y=15

Substituting the equation (1):

x+(x+3)=15

x+x+3=15

2x+3=15

<em>Subtracting both sides by 3 we get:</em>

<em />2x=12<em />

<em>Dividing both sides by 2 we get:</em>

x=6.

<em>The number of nickels = 6.</em>

Now, substituting the value of x in equation (1):

y=x+3\\\\y=6+3\\\\y=9.

<em>The number of quarters = 9.</em>

Thus, there are 6 coins in nickels and 9 coins in quarters.

6 0
3 years ago
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