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RSB [31]
4 years ago
10

Solve for x in the equation x2 - 12x+36 = 90.

Mathematics
1 answer:
cupoosta [38]4 years ago
5 0

Answer:

<u>The correct answer is A. x = 6 + 3 √10</u>

Step-by-step explanation:

Let's solve for x:

x² - 12x + 36 = 90

Factoring this quadratic equation, we have:

(x - 6) (x - 6) = 90

(x - 6)² = 90

x - 6 = √90 (Square root to both sides of the equation)

x = 6 + √90 (Adding 6 to both sides of the equation)

x = 6 + √9 * 10

x = 6 + √3² * 10

x = 6 + 3 √10

<u>The correct answer is A. x = 6 + 3 √10</u>

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Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?
Yanka [14]

Answer:

f(x) = (x + 19)(x^2 + 1)

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

i^2 = -1

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)

Output of 40 when x=1

This means that when x = 1, f(x) = 40. We use this to find the leading coefficient a. So

f(x) = a(x + 19)(x^2 + 1)

40 = a(20)(2)

40a = 40

a = 1

The polynomial is:

f(x) = (x + 19)(x^2 + 1)

3 0
3 years ago
The regular price of a space invader game is 52$ but it is on sale.the discount is 13$ what percent discount is this?
Mama L [17]
The answer would be 25%
3 0
3 years ago
Q1.
Ann [662]

Answer:

0.000174

3.5841 x 10^7

4.67  x 10^6

Step-by-step explanation:

1.74 x 10^-4 as an ordinary number

As an ordinary number, the decimal point will be moved 4 times to the left due to the negative power

Hence 1.74 x 10^-4 as an ordinary number

= 0.000174

358.41 x 10^5 in a standard form

In standard form, only one number will be before the decimal point, the number of times the decimal point is moved (to ensure that only the first digit is before the point) is added to the power of ten. Hence

358.41 x 10^5 in a standard form

= 3.5841 x 10^5+2

= 3.5841 x 10^7

4 670 000 in a standard form

As done above, only one digit will be before the decimal

4 670 000 in a standard form

= 4.67  x 10^6

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4 years ago
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saveliy_v [14]

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7 0
4 years ago
Read 2 more answers
The fifth term of an arithmetic sequence is 100, and the common difference is 4. Find the first three terms of the sequence.
Ronch [10]
\bf a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term}\\&#10;d=\textit{common difference}\\&#10;--------------\\&#10;a_5=100\\&#10;n=5\\&#10;d=4&#10;\end{cases}&#10;\\\\\\&#10;a_5=a_1+(5-1)4\implies 100=a_1+(5-1)4&#10;\\\\\\&#10;\textit{solve for }a_1\textit{ to find the first term}

then use the common difference "d", to get the 2nd and 3rd terms

-------------------------------------------------------------------------------------------

\bf a_5=a_1+(5-1)4\implies 100=a_1+(5-1)4\implies 100=a_1+(4)4&#10;\\\\\\&#10;100=a_1+16\implies 100-16=a_1\\\\ 84=a_1\quad &#10;\begin{cases}&#10;a_1=&84\\&#10;a_2=84+4\to &88\\&#10;a_3=88+4\to  &92&#10;\end{cases}
6 0
4 years ago
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