MATHEMATICS HIGH SCHOOL

Question 1 Which expression is the simplified form of the square root 150 times b cubed?

6 times b times the square root of 5 times b

5 times b times the square root of 6

6 times b times the square root of 5

5 times b times the square root of 6 times b

Answers

Answer 1
Answer: 5 times b times the square root of 6 times b;
\sqrt{150* b^(3) }
\sqrt{25*6* b^(3) }
=5b√(6b)
Answer 2
Answer:

Answer:

The simplified form of the given expression is:

       5 times b times the square root of 6 times b .

Step-by-step explanation:

We are given a expression in  words as:

     square root 150 times b cubed.

Now mathematically it is expressed as:

   √(150b^3)

Now on simplifying as follows:

√(150b^3)=√(5^2* 3* 2* b^2* b)\n\n√(150b^3)=√((5b)^2* 6b)\n\n√(150b^3)=√((5b)^2)* √(6b)\n\n√(150b^3)=5b√(6b)

Hence, we obtain the expression:

                     5 times b times the square root of 6 times b .

(i.e.  5b√(6b)   )

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Solve the equation 36x^2 25=0

Answers

The equation 36x^2 + 25 = 0 possesses no real solutions; however, it yields two complex roots: x = (5/6)i and x = -(5/6)i.

The equation provided, 36x^2 + 25 = 0, is a quadratic equation in one variable, x. To solve it, we'll first isolate the x^2 term:

36x^2 = -25

Next, we'll divide both sides by 36:

x^2 = -25/36

Taking the square root of both sides, we get:

x = ±√(-25/36)

Since the square root of a negative number is imaginary, there are no real solutions to this equation. This means that the equation 36x^2 + 25 = 0 has no real roots, but it does have complex roots in the form of x = ±(5/6)i, where i is the imaginary unit.

The equation 36x^2 + 25 = 0 has no real solutions, but it does have two complex solutions: x = (5/6)i and x = -(5/6)i.

To learn more about variable

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Would assume it to be 36x² - 25 = 0

36x² - 25 = 0

(6x)² - 5² = 0

(6x + 5)(6x - 5) = 0         By difference of two squares.

6x + 5 = 0           or         6x - 5 = 0

6x = -5                             6x = 5

x = -5/6                              x = 5/6

x = +5/6   or - 5/6

Five times the height of a kakapo minus 70 equals the height of an emu

Answers

I'm assuming you're looking for an equation so this is what it would look like: (k=kakapo, e=emu)

5k-70=e

PLS HELPPPPP SOS HELP !!!!!Shandra is on vacation and wants to
buy souvenirs for at least 8 friends.
A postcard book costs $2.50 and a magnet costs $4.00. She can spend up to $30 altogether. Let x represent the number of postcard books and y represent the number of magnets.
Part A

A. x + y <8
B. 2.5x +4y <30
C. x+y > 8
D. 2.5x + 4y >8
E. x>0
F. y>0
G. x + y>0

Plsss help the one in the picture is part 2

Answers