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amm1812
2 years ago
12

100x^2-9 factored completely

Mathematics
1 answer:
Ne4ueva [31]2 years ago
7 0

Answer:

Step-by-step explanation:

this is the difference of two squares,  which there is a formula for

(a+b)(a-b)  

100x^{2}-9

rewrite into squares

(10x)^{2} - 3^{2}

then a = 10x

and b = 3

(10x + 3 )(10x - 3 )

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Order the following units of a capacity families to greatest gallon paint cup quart
Tju [1.3M]

Answer:

7 yards

Step-by-step explanation:

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3 years ago
It takes Kaeden 6 min to type two-thirds of a page. At this rate, how long will it take him to type a 5-page report?
Artist 52 [7]
\begin{array}{ccc}\frac{2}{3}&-&6min\\\\5&-&xmin\end{array}\\\\\\cross\ multiply\\\\\frac{2}{3}x=5\cdot6\\\\\frac{2}{3}x=30\ \ \ \ /\cdot\frac{3}{2}\\\\x=15\cdot3\\\\x=45\ (min)\leftarrow answer
6 0
3 years ago
Complete the sentences to describe the different levels of organization in living things.
alexandr1967 [171]

Answer:

A system is a group of organs that work together to perform a common function.

An organ is a group of tissues that work together to perform a common function.

An organism is a group of organ systems that work together to perform a common function.

A cell is a basic unit of structure and function of all living things.

A tissue is a group of cells that work together to perform a common function.

Step-by-step explanation:

The different levels of organization in living things are defined below from smallest to largest:

Cell is the smallest unit of life. It is the basic structural, functional, and biological unit for all living things.

Tissue is a group of cells working together to accomplish a special function. Examples of tissue are connective tissue, muscle tissue.

Organ is a group of tissues working together to perform a specific function. Examples of organs are heart, liver etc.

System is a group of organs working together to perform a particular task and provide stability to the body. Example is muscular system, nervous system etc.

Organism consists of a group of system working together to perform a specific function. An organism is a living thing with an organized structure

7 0
3 years ago
Read 2 more answers
Tom opens a bank account and makes an initial deposit of $500. The banker tells Tom that he is going to receive
Katena32 [7]

Bank balance after 15 years is $950

Step-by-step explanation:

  • Step 1: Find the simple interest on the principal amount using the formula SI = PRT/100 where Principal (P) = $500, Rate of Interest (R) = 6% and Time(T) = 15 years

⇒ SI = 500 × 6 × 15/100 = $450

  • Step 2: Find total amount using the formula Amount = P + SI

⇒ Amount = 500 + 450 = $950

7 0
3 years ago
Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8
vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function f(x)=1/x. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b}  =-1/8

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

\frac{.5b-1}{2b-b^2} =\frac{-1}{8}

Now, cross multiply.

4b-8=b^2-2b

b^2-6b+8=0

Solve for b. Factor using the numbers -4 and -2.

=(b-4)(b-2)=0

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0
3 years ago
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