All categories

3 years ago

Write a quadratic function in standard form having zeros of -9 and -12

Mathematics

1 answer:

tia_tia [17]3 years ago

3 0

(x + 9)(x + 12) = 0
Expanding the brackets, we get:
$x^{2}+21x+108=0$

You might be interested in

Simplify the expression below.

olasank [31]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}
\\\\
-------------------------------\\\\$

$\bf \cfrac{14a^8y^3-7a^4y^5+28a^{12}y^2}{7a^4y}\impliedby 
\begin{array}{llll}
\textit{let us first, distribute}\\
the~denominator
\end{array}
\\\\\\
\cfrac{14a^8y^3}{7a^4y}-\cfrac{7a^4y^5}{7a^4y}+\cfrac{28a^{12}y^2}{7a^4y}
\\\\\\
\cfrac{14}{7}a^8a^{-4}y^{-1} y^3-\cfrac{7}{7}a^4a^{-4}y^{-1} y^5+\cfrac{28}{7}a^{12}a^{-4}y^{-1} y^2
\\\\\\
2a^{8-4}y^{-1+3}-1a^{4-4}y^{-1+5}+4a^{12-4}y^{-1+2}
\\\\\\
2a^4y^2-1\cdot 1y^4+4a^8y\implies 2a^4y^2-y^4+4a^8y$

4 0

3 years ago

A 10-ounce container of chocolate chips can be used to make 4 desserts.

Mademuasel [1]

Answer:

10/4 =10/4 ounces

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The times for 5 runners in a 30-meter dash were 6.44 seconds, 6.2 seconds, 6.04 seconds, 7.14 seconds, and 6.48 seconds. Wr

Scorpion4ik [409]

Answer:

329842384097

Step-by-step explanation:

4 0

3 years ago

A container weighs 23 2/5 pounds holds sports equipment. Of the equipment in the container 1/3 of the weight is baseball equipme

hram777 [196]

What we need to know is how much is 1/3 of 25 2/5.

We will be multiplying fraction by a fraction and for this, it's good to change mixed numbers into improper fractions:

25 2/5= $\frac{23*5+2}{5}= \frac{117}{5}$

and now we multiply it by 1/3:

$\frac{1}{3}\frac{117}{5}=\frac{39}{5}=7\frac{4}{5}$

and that's the answer: the basketball equipment weights 7 4/5 pounds.

8 0

3 years ago

The board of an internet start up company has sixteen members. if one person is in charge of research and one is in charge of ma

Brilliant_brown [7]

The number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

The permutation is the way of choosing a set of objects from a larger set of objects in a specific sequence.

If we are choosing r number of objects, from n number of objects in a specific sequence, then we follow permutation, and it is given as:

nPr = n!{(n - r)!}.

In the question, we are asked to find the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members.

Since the position is to be chosen in a specific order, we will follow permutation.

The number of positions to be chosen (r) = 2.

The number of members (n) = 16.

Thus, the number of ways is given as:

nPr = n!{(n - r)!},

or, 16P2 = 16!{(16 - 2)!},

or, 16P2 = 16!/14! = 15*16 = 240.

Thus, the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

Learn more about permutations at

brainly.com/question/4658834

#SPJ4

6 0

2 years ago