3 years ago

Solve the quadratic equation below by completing the square

Mathematics

2 answers:

tia_tia [17]3 years ago

6 0

Answer:

n = -5/2 and n = 13/2

seraphim [82]3 years ago

5 0

Step-by-step explanation:

4·n^2 - 16·n - 21 = 44

4·n^2 - 16·n = 65

n^2 - 4·n = 65/4

n^2 - 4·n + 4 = 65/4 + 4

(n - 2)^2 = 81/4

n - 2 = ± 9/2

n = 2 ± 4.5

n1 = -2.5 or n2 = 6.5

You might be interested in

Maya is taking her friends to a concert. Each ticket costs $25, and souvenir T-shirts are $12 each. There is a $4 service fee fo

evablogger [386]

Answer:

$25x+12y+4 \leq 130$

Step-by-step explanation:

Here, x represents the number of tickets and y represents the number of T-shirts.

As per the statement:

Each ticket costs $25, and souvenir T-shirts are $12 each

⇒Total cost of ticket = 25x and Total cost for T-shirt = 12y

It is also given that there is a $4 service fee for the entire purchase.

$25x+12y+4$

Since, she has $130

⇒ $25x+12y+4 \leq 130$

Therefore, an inequality could you use to answer the problem is, $25x+12y+4 \leq 130$

8 0

3 years ago

Mario found this relationship between the quantities in the table? Which error did Mario make?

wlad13 [49]

Mario made the mistake on everything and he needs help

6 0

3 years ago

The original price, p, of a single scoop of ice cream has increased by 6.5%.

allochka39001 [22]

Answer:

p*106.5/100

Step-by-step explanation:

6 0

2 years ago

The number of views on a viral video can be modeled by the function S(t)=9600(3)^t+2. Write an equivalent function of the form S

anyanavicka [17]

Answer:

The equivalent expression would be;

S(t) = 86,400•3^t

Step-by-step explanation:

Here, we want to make a transformation

From what we have;

S(t) = 9,600(3)^(t + 2)

From indices, we know that;

x^(a + b) = x^a•x^b

Thus, we have it that;

S(t) = 9600•3^t•3^2

S(t) = (9 * 9600) * 3^t

S(t) = 86,400•3^t

8 0

3 years ago

Can 9, 6, and 5 be the lengths of the sides of a triangle? (yes or no answer)

iren [92.7K]

The answer is choice “Yes”

3 0

3 years ago