All categories

3 years ago

17. Solve the equation using square roots. x^2 + 5 = 41 a.+-36 b.no real number solutions c.6 d.+-6

2 answers:

5 0

Solve your equation step-by-step.

x^2+5=41

Subtract 5 from both sides.

x^2+5−5=41−5

x^2=36

Take square root.

x=±√36

x=6

or

x=−6

So your answer suppose to be C and D.
But if you were to put only one answer in the answering box, then just say C)

hoa [83]3 years ago

3 0

$x^{2}+5=41 \\ \\ x^{2}-36=0 \\ \\ (x-6)(x+6)=0 \\ \\ x-6=0 \ \vee \ x+6=0 \\ \\ x=6 \ \vee \ x=-6 \\ \\ x\in \lbrace -6,6 \rbrace$

You might be interested in

Which graph represents the solution for x2 + x - 12 > 0?

igomit [66]

Answer:it’s c on edge, sorry i’m late but for anyone else who needs help it’s c !!

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If a < 0 and c > b, circle the expression that is greater:

matrenka [14]

Answer:

The expression that is greater is a (b - c)

Step-by-step explanation:

a < 0 and c > b, this means (by the addition property) that c - c > b - c⇒0 > b - c

so for the product a(b - c) we would have a multiplication of a negative number a and another negative number (b - c). We know that the result of the multiplication of two negative numbers is a positive number.

Therefore, a (b - c) > 0

a < 0 and c > b, this means by the addition property that c - b > b - b⇒ c - b > 0

so for a(c - b), we have the negative number a multiplied by the positive number (c - b). We know that the result of the multiplication of a negative number by a positive number is negative.

Therefore a (c - b) < 0

Thus, the expression that is greater is the positive one which is a (b - c)

5 0

3 years ago

435 L = ______ KL So what do i put in the blank spot ?? i dont know how to do this

docker41 [41]

$1000\ L-1KL\\ 435\ L-x\\ \\1000\cdot x=435\cdot1\cdot \ KL\ /:1000\\ \\x=0.435\ KL$

5 0

3 years ago

Read 2 more answers

Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that

m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

$y=a(x-c_1)(x-c_2)...(x-c_n)$

Where, a is a constant and $c_1,c_2,...,c_n$ are the roots of the polynomial.

Polynomial roots are 1 and 2. So, $(x-1)$ and $(x-2)$ are the factors of the polynomial.

Let the third root of the polynomial by c, then $(x-c)$ is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

$y=8(x-1)(x-2)(x-c)$

The graph passes through the point (4,5). Putting $x=4,y=5$ , we get

$5=8(4-1)(4-2)(4-c)$

$5=8(3)(2)(4-c)$

$5=48(4-c)$

Divide both sides by 48.

$\dfrac{5}{48}=4-c$

$c=4-\dfrac{5}{48}$

$c=\dfrac{192-5}{48}$

$c=\dfrac{187}{48}$

Therefore, the 3rd root on the polynomial is $\dfrac{187}{48}$ .

8 0

3 years ago

The difference of 2 and the product of 3 and k

MA_775_DIABLO [31]

Answer:

3k-2

Step-by-step explanation:

Difference obiously means subtraction in this situation and you are subtraction 2 from the end result. " The product of 3 and k" is just refering to multiplying an unknown value by 3. This unknown value then becomes a variable and 3 becomes the coefficient. When these numbers are put together, they are suggesting multiplication. It can also be written to be less confusing. (3 x k)-2 which is the same thing as 3k-2.

8 0

3 years ago