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Andru [333]
3 years ago
14

How do you write a quadratic equation in standard form?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

  • Powers of the variable descending left to right
  • right side of the equal sign is 0

Step-by-step explanation:

For some constants a, b, and c, the standard form* is ...

  ax^2 + bx + c = 0

___

It is nice if the leading coefficient (a) is positive, but that is not required.

The main ideas are that ...

  • Powers of the variable are descending
  • All of the non-zero terms are on the left side of the equal sign
  • Like terms are combined

_____

* This is the <em>standard form</em> for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."

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STatiana [176]
I think it’s C. 136 ft squared
8 0
3 years ago
Answer this and ill give brainliest
nekit [7.7K]

Answer:

-4.65< -4 and 2/5

Step-by-step explanation:

To solve, this we can convert the fraction -4 and 2/5 into a decimal so that the values can be more easily compared. When we do this, we get the result that -4 and 2/5 equals -4.4. Now we can clearly see which value is greater because they are written in the same form:

-4.65<-4.4

-4.65<-4 2/5

6 0
3 years ago
Read 2 more answers
Describe the transformations necessary to transform f(x) into g(x)
Aleks [24]

Using translation concepts, the transformations are given as follows:

a) The function is horizontally compressed by a factor of 3 and shifted down one unit.

b) The function is shifted right 3 units and vertically stretched by a factor of 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Item a:

The transformations are:

  • x -> 3x, hence the function is horizontally compressed by a factor of 3.
  • y -> y - 1, hence the function is shifted down one unit.

Item b:

The transformations are:

  • x -> x - 3, hence the function is shifted right 3 units.
  • y -> 2y, hence the function is vertically stretched by a factor of 2.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

6 0
2 years ago
Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 7x − 1). If the final answer is written in the form Ax2 + Bx + C, wha
Andrews [41]

Answer:

 

3x + 2x2 + 4 = 5

3x + 2x2 + 4 – 5 = 5 – 5

First be sure that the right side of the equation is 0. In this case, all you need to do is subtract 5 from both sides.

 

3x + 2x2 – 1 = 0

2x2 + 3x – 1 = 0

Simplify, and write the terms with the exponent on the variable in descending order.

 

2x2

+

3x

–

1

=

0

↓

 

↓

 

↓

 

 

ax2

 

bx

 

c

 

 

 

a = 2, b = 3, c = −1

 

Now that the equation is in standard form, you can read the values of a, b, and c from the coefficients and constant. Note that since the constant 1 is subtracted, c must be negative.

Answer

2x2 + 3x – 1 = 0; a = 2, b = 3, c = −1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
12x - 2y = -1<br>+ 4x + 6y= -4<br>​
svp [43]

Answer:

x = -7/40 , y = -11/20

Step-by-step explanation:

Solve the following system:

{12 x - 2 y = -1 | (equation 1)

4 x + 6 y = -4 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{12 x - 2 y = -1 | (equation 1)

0 x+(20 y)/3 = (-11)/3 | (equation 2)

Multiply equation 2 by 3:

{12 x - 2 y = -1 | (equation 1)

0 x+20 y = -11 | (equation 2)

Divide equation 2 by 20:

{12 x - 2 y = -1 | (equation 1)

0 x+y = (-11)/20 | (equation 2)

Add 2 × (equation 2) to equation 1:

{12 x+0 y = (-21)/10 | (equation 1)

0 x+y = -11/20 | (equation 2)

Divide equation 1 by 12:

{x+0 y = (-7)/40 | (equation 1)

0 x+y = -11/20 | (equation 2)

Collect results:

Answer:  {x = -7/40 , y = -11/20

6 0
3 years ago
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