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bekas [8.4K]
3 years ago
15

Solve for x in the equation x^2+20x+100=36

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0

Answer:

a

Step-by-step explanation:

Given

x² + 20x + 100 = 36 ( subtract 36 from both sides )

x² + 20x + 64 = 0 ← in standard form

Consider the factors of the constant term ( + 64) which sum to give the coefficient of the x- term ( + 20)

The factors are + 16 and + 4, since

16 × 4 = + 64 and 16 + 4 = + 20, hence

(x + 16)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 16 = 0 ⇒ x = - 16

x + 4 = 0 ⇒ x = - 4

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David is buying fish for his aquarium. Clown fish cost $12 each and angel fish cost $7 each. If he has $100 to spend, and he wan
Anni [7]

Answer:

6 clown fish and 4 angel fish

Step-by-step explanation:

<u>lets say he bought 8 clown fish. </u>

12*8 = 96

the last 4 dollars wont be used.

<u>lets say he bought 7 clown fish-</u>

12*7 = 84

100 - 84 = 16. 16 is not a multiple of 7.

<u>lets say he bought 6 clown fish,</u>

12*6 = 72

100 - 72 = 28

28/7 = 4

If David has $100 dollars to spend and wants to spend every dollar, he can buy 6 clown fish and 4 angel fish.

3 0
2 years ago
5.5(x+6 1/2)-(x+9 1/3)-(19-x)
anastassius [24]

The simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12

<h3>What is the simplified form of the expression</h3>

Given the expression;

5.5(x+6 1/2) - (x+9 1/3) - (19-x)

First, we convert 6 1/2, 9 1/3 and 5.5 to an improper fraction

6 1/2 = 13/2, 9 1/3 = 28/3 and 5.5 = 11/2

So, we have

(11/2)( x + 13/2 ) - ( x + 28/3 ) - ( 19 - x )

Next, we remove the parentheses

11x/2 + 143/4 - x - 28/3 - 19 + x

11x/2 + 143/4 - 28/3 - 19

11x/2 + 317/12 - 19

11x/2 + 89/12

Therefore, the simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12.

Learn more about fractions here: brainly.com/question/28039882

#SPJ1

3 0
2 years ago
A bacteria culture begins with 15 bacteria which double in amount at the end of every hour. How many bacteria are grown during t
Eva8 [605]
The answer is 30720

A = P * rⁿ
A - the final population
r - the growth rate
P - the initial number of bacteria
n - the number of hours

We know:
A = ?
r = 2 (it doubles)
P = 15
n = 12

After 11 hours
A(11) = 15 * 2¹²
A(11) = 15 * 2048
A(11) = 30720

After 12 hours
A(12) = 15 * 2¹²
A(12) = 15 * 4096
A(12) = 61440

<span>How many bacteria are grown during the 12th hour?
A(12) - A(11) = 61440 - 30720 = 30720</span>
8 0
3 years ago
Write the equation g(x) of the transformation of the parent graph f(x) = |x| translated right 5 units.
Archy [21]

Answer:

g(x) = |x-5|

Step-by-step explanation:

f(x) = |x|

y = f(x + C)  C < 0 moves it right

g(x) = |x-5| moves it to the right 5 units

7 0
3 years ago
Read 2 more answers
SUB TO YFBG JAY ON YT ASAP RN
Dmitriy789 [7]

Answer:

alright i just did

Step-by-step explanation:

3 0
3 years ago
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