All categories

3 years ago

How to solve this equation?

Mathematics

1 answer:

Novay_Z [31]3 years ago

6 0

Answer:

x = √(28), or x = 5.292

Step-by-step explanation:

First you distribute the square to the values inside of the parentheses. so it ends up looking like this

5(x^2 - 25) - 9 = 6

add 9 to both sides

so its 5(x^2 - 25) = 15

Then distribute the multiplication of 5 to the contents within the parentheses

so it would be 5x^2 - 125 = 15

add 125 to both sides

you get 5x^2 = 140

divide by 5 on both sides

you get x^2=28

then, take the square root of both sides to reverse the square

√(x^2)=√(28)

and in the end you get x=5.292

but √(28) will probably be fine if your teacher doesn't want u to solve for that kind of stuff.

You might be interested in

The volume of a cylindrical soap dispenser is modeled by the expression below.select the true statement.a. the expression (x + 1

bulgar [2K]

Answer:

The expression $(x+1)^2$ represents the radius of the soap dispenser.

The expression $4x+1$ represents the height of the soap dispenser.

Step-by-step explanation:

The question says that the soap dispenser is in the form of a cylinder.

Now, we find the volume of the cylinder by using the given formula:

$V= \pi r^2 h$ , where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.

Now, the volume is the product of radius squared and the height, if they both are functions of $x$ , then the function to represent the volume must have cubic exponents.

Since, the radius is squared in the formula and it is a function of $x$ that implies that the function of radius must have square as the exponent of $x$ , therefore, the expression $(x+1)^2$ will represent the radius of the soap dispenser and the expression $(4x+1)$ represents the height of the soap dispenser.

8 0

3 years ago

Read 2 more answers

What does the range of data tell you

stiv31 [10]

Answer:

The range can only tell you basic details about the spread of a set of data. By giving the difference between the lowest and highest scores of a set of data it gives a rough idea of how widely spread out the most extreme observations are, but gives no information as to where any of the other data points lie.

Step-by-step explanation:

5 0

3 years ago

Find the distance between the points (3,9) and (9, 1).

mrs_skeptik [129]

Answer:

Distance is equal to 10.

Step-by-step explanation:

Use the distance formula: d=√((x_2-x_1)²+(y_2-y_1)²)

d = √(9-3)^2 + (1-9)^2

d = √(6)^2 + (-8)^2

d = √36 + 64

d = √100

d = √10

Hope this helps :)

4 0

2 years ago

Please help. Evaluate 6! 3,125 720 120

Anastasy [175]

$\huge\textsf{Hey there!}$

$\large\textsf{6!}\\\large\textsf{= 6}\times\large\textsf{5}\times\large\textsf{4}\times\large\textsf{3}\times\large\textsf{2}\times\large\textsf{1}\\\large\textsf{6(5) = \bf 30}\\\large\textsf{= 30}\times\large\textsf{4}\times\large\textsf{3}\times\large\textsf{2}\times\large\textsf{1}\\\large\textsf{30(4) = \bf 120}\\\large\textsf{= 120}\times\large\textsf{3}\times\large\textsf{2}\times\textsf{1}\\\large\textsf{120(3) = \bf 360}\\\large\textsf{= 360}\times\large\textsf{2}\times\large\textsf{1}$