1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GuDViN [60]
2 years ago
8

Factor completely 49m4 + 140m2 + 100

Mathematics
1 answer:
postnew [5]2 years ago
5 0

Answer:

Step-by-step explanation:

Use identity : (a + b)²  =a² + 2ab + b²

49m⁴ + 140m² + 100 = 7²(m²)² + 2 * 7m² * 10 + 10²

                                  = (7m²)² + 2 *7m²*10 + 10²

                                   = (7m² + 10)²

                                   = (7m² + 10)(7m² + 10)

You might be interested in
Cual es el resultado? 3x-2=
MrMuchimi
Reinforces 5tttxes el
7 0
3 years ago
Read 2 more answers
Given the parent function f(x)=|x|, write the equation of the function g(x) whose graph is pictured
kenny6666 [7]

By analyzing the graph of the transformed function, we can see that:

g(x) = 2*|x - 2| - 4

<h3>How to get the function g(x)?</h3>

In the image we have two graphs, the yellow one is the graph of g(x).

First, analyzing the vertex we can see the translation used, you need to remember:

<u>Horizontal translation:</u>

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

  • If N is positive, the shift is to the left.
  • If N is negative, the shift is to the right.

<u>Vertical translation:</u>

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

  • If N is positive, the shift is upwards.
  • If N is negative, the shift is downwards.

We can see that the new vertex is at (2, -4), so the translation is 2 units to the right and 4 units down, then we have:

g(x) = |x - 2| - 4

Now, you also can see that the yellow function is narrower, such that for each increase in the x-unit, we have an increase of 2 in the y-axis, then we need to multiply by 2 the absolute value part:

g(x) = 2*|x - 2| - 4

This is the transformed function.

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

5 0
2 years ago
I read 1/3 of a book in an hour.<br> How much more of the book will I read in 2 1/5 hours
Verizon [17]

Answer:

Step-by-step explanation:

To find the number of pages of the book in the given hour:

To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.

\sf \text{  Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }

                                                       \sf = \dfrac{1}{3}*\dfrac{11}{5}\\\\=\dfrac{11}{15}

\sf \text{Number of pages read more in 2 $\dfrac{1}{5}$ hours = $\dfrac{11}{15}-\dfrac{1}{3}$}

                                                                 \sf =\dfrac{11}{15}-\dfrac{1*5}{3*5}\\\\=\dfrac{11}{15}-\dfrac{5}{15}\\\\=\dfrac{6}{15}

7 0
2 years ago
Read 2 more answers
B. The total cost (1) after 8% sales tax is added to an item's price (p): 1.08p =
scoundrel [369]

Answer:

No

Step-by-step explanation:

6 0
3 years ago
Which of the following is an expression? *
Yanka [14]

Answer:

3m

Step-by-step explanation:

An expression does not have an equals sign

An equation has an equals sign

4x = 12   equation

25 - 12 = 13   equation

7x - 3 + 2y =29   equation

3m  expression

4 0
3 years ago
Other questions:
  • A circle is divided into 6 equal parts what is the total angle measure of 1 part
    14·2 answers
  • PLEASE help me with this question! No nonsense answers please. This is really urgent.
    6·1 answer
  • NEED HELP ASAP!!! Will give brainlest
    12·2 answers
  • State the property that justifies the statement
    15·1 answer
  • Write the Taylor Series for f(x) = sin(x)center
    8·1 answer
  • What is the square root of 35​
    7·2 answers
  • Functions can be defined using graphs, tables, and ordered pairs. What is the domain of a function?
    15·1 answer
  • Find the quotient below. Write the answer as a fraction in simplest form.
    7·1 answer
  • Mrs. Sampson's bill at a restaurant was $44.00. How much money should Mrs. Sampson tip if she wishes to tip 15%?​
    12·2 answers
  • I need help with this.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!