All categories

3 years ago

When you would not need to use the quadratic formula

1 answer:

3 0

Answer: When the quadratic equation can be factored or solved by completing the square, you do not need to use the quadratic formula

Step-by-step explanation: In the form ax² + bx + c

Whenever a is 1 (implied, no coefficient of x²) and the constant, c, is a multiple of numbers whose sum or difference is equal to b, factoring is much quicker and easier than using the quadratic formula.

Even when there is a coefficient of x², there are procedures to find the factors and solve for x without resorting to the quadratic formula.

You might be interested in

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20%7D%7Bxy%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%7B4xy%7D%5E%

hjlf

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
\cfrac{3x^2}{xy}\cdot \cfrac{4xy^2}{\frac{1}{y}}\implies \cfrac{3x^2}{xy}\cdot \cfrac{4xy^2}{y^{-1}}\implies \cfrac{3x^2x^1y^2}{xy^1y^{-1}}\implies \cfrac{3x^{2+1}y^2}{xy^{1-1}}
\\\\\\
\cfrac{3x^3y^2}{xy^0}\implies \cfrac{3x^3y^2}{x^1}\implies 3x^3y^2x^{-1}\implies 3x^{3-1}y^2\implies 3x^2y^2$

6 0

3 years ago

Patty is building a rope ladder for a tree house. She needs two 5 foot pieces of rope for the sides of the ladder. She needs 7 p

BigorU [14]

Answer:

20 1/2 feet

Step-by-step explanation:

The total length is found by adding the lengths of the individual pieces. It can be easier if you use multiplication in place of repeated addition. You want ...

(2 × 5 feet) + (7 × 18 inches)

At some point in the process, you need to convert inches to feet. This is done by remembering that 12 inches = 1 foot. Dividing inches by 12 gives feet.

The above expression evaluates to

10 feet + 126 inches = 10 feet + (126/12) feet = 10 feet + 10.5 feet

= 20.5 feet

_____

A Google search box is a capable units converter and calculator.

6 0

3 years ago

What's the word called for when people don't believe in ghosts or any type of things , there was a specific word !

Tom [10]

Answer:

Skeptics

Step-by-step explanation:

my aunt is one and have a nice day :)

3 0

3 years ago

Read 2 more answers

Gemma had 25.75 grams of frosting to make a cake. She decided to use only 15.5 grams of the frosting. How much frosting does Gem

Finger [1]

Answer:

10.2 grams

Step-by-step explanation:

Gemma had 25.75 grams of frosting

Used 15.5 grams

Left over:

25.75 - 15.5 = 10.2 grams

8 0

3 years ago

Write the following series in sigma notation. 7 + 16 + 25 +34 +43 +52 + 61

Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: $\sum\limits^7_{n=1} {9n - 2}$

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

First term, a = 7
Common difference, d = 9
Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7 - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

$\sum\limits^7_{n=1} {9n - 2}$

Read more about arithmetic series at:

brainly.com/question/6561461

3 0

2 years ago