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
Crank
3 years ago
9

Please help!!

Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

Answer:

 The vertex of the parabola   = (-7 , -4)  

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the parabola  y = 4 x² + 56 x +192

                                 y = 4 (x² + 14 x + 48 )

                                 y = 4 ( x² + 2 ×  7 (x) + 49-1)

                                 y = 4 ( x² + 2 ×  7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

                                y = 4 ( x + 7 )² - 4

<u>Step(ii):-</u>

<em>The general form of the parabola in algebraically</em>

<em>                               y = a ( x-h)² +k</em>

<em>The equation </em>

<em>                           y = 4 ( x + 7 )² - 4</em>

                          y = 4 ( x-(-7))² - 4

  The vertex of the parabola (h,k) = (-7 , -4)  

<u>Final answer:-</u>

The vertex of the parabola  = (-7 , -4)  

You might be interested in
A map has a scale of 2 inches : 24 mi. If clinton and oak Grove are 48 mi apart then they are how far apart on the map?
Georgia [21]

Answer:

they are 4 inches.

Step-by-step explanation:

24x2 is 48 so 2x2 is 4

3 0
3 years ago
What equation represents a line that is parallel to y=3X +5
Lina20 [59]
A line that is parallel to another line will have the same slope, in our case, the slope of 3. Therefore, we can just change the y-intercept to create any line parallel to y=3x+5 (just remember to keep the slope the same). For example, y=3x+5, y=3x-9, and y=3x+6.2 are all equations that are parallel to y=3x+5.

:)

8 0
3 years ago
Simplify Which of the following is correct?
aalyn [17]

The difference between mixed numbers gives:

-5¹/₆ - (-8¹/₂) = 3¹/₃

So the correct option is the third one.

<h3 /><h3>How to get the difference between mixed numbers?</h3>

Here we want to compute the difference between two mixed numbers.

First, remember that we can rewrite those as:

-5¹/₆ = (-5 - 1/6)

-8¹/₂ = (-8 - 1/2)

Now, let's go to the difference:

-5¹/₆ - (-8¹/₂)

First you can see that there are two negative signs together, so it is equivalent to a positive sign:

-5¹/₆ - (-8¹/₂) = -5¹/₆  + 8¹/₂

Now we can replace the mixed numbers to get:

-5¹/₆  + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3

And that can be rewritten to:

3 + 1/3 = 3¹/₃

Which is completely simplified.

So we conclude that the correct option is the third one, counting from the top.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

6 0
2 years ago
Madison deposited $18 in a savings account that earns 2.5% simple interest. Which graph represent this scenario
Dmitriy789 [7]
The answer is 7.20 because $18 divided by 2.5% is 7.20
8 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP THANKS IN ADVANCE
chubhunter [2.5K]

Answer:

the answer to the question is "C"

7 0
3 years ago
Other questions:
  • What is the value of x in this figure?
    6·1 answer
  • Daniel and Sofia both solve this system of equations: y = -1.5x + 5.7 y = 0.5x + 0.3 Daniel's solution is (1.1, 2.4). Sofia's so
    10·2 answers
  • The population of a city increases in size by 18 percent every 12 years.
    11·1 answer
  • This table shows the ratio of daisies to roses.
    15·2 answers
  • The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is
    10·1 answer
  • Jason goes to the sandwich shop for lunch the prices for sandwiches are listed below
    15·1 answer
  • The cost T, in dollars, of tuition and fees at Addison Technical College is $125 per credit plus an $85 registration fee. How ma
    15·1 answer
  • Solve the equation please <br> 142=10+4x+7x<br> x= what
    15·2 answers
  • Urgent! find the image of (3,-2) under translation vector T=(1,-5)​
    13·1 answer
  • What is the value of this product
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!