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
garri49 [273]
2 years ago
9

Maya is solving the quadratic equation by completing the square.

Mathematics
1 answer:
kvasek [131]2 years ago
6 0

Step-by-step explanation:

factor 4 out of the variable terms, as this helps.

but my approach is simply to define the target and then calculate "backwards".

we want to find

(ax + b)² = a²x² + 2abx + b²

and now we compare with the original equation :

a²x² = 4x²

a² = 4

a = 2

2abx = 16x

2×2×bx = 16x

4b = 16

b = 4

b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.

so, our equation is

(2x + 4)² - 13 = 0

(2x + 4)² = 13

2x + 4 = sqrt(13)

2x = sqrt(13) - 4

x = sqrt(13)/2 - 2

You might be interested in
U - 26 = 29 Erm what is the answer to this question if you can't help that's ok.
SOVA2 [1]

Answer:

u= 55

Step-by-step explanation:

googoogagagooaoa

7 0
4 years ago
Read 2 more answers
Drag and drop the following fractions and plot them on the number line. 3/8. 2 7/8. 1 3/4
vichka [17]
Harry styles is always the answer
6 0
3 years ago
Explain what the virtual line test is and how it’s used ?
soldi70 [24.7K]

One-to-One Function Defined The horizontal line test is a method that can be used to determine if a function is a one-to-one function. This means that, for every y-value in the function, there is only one unique x-value. One simple example of a one-to-one function (often called an injective function) is with the daily specials at a restaurant. Let's say the specials are as follows: Sunday - Meat Loaf Monday - Turkey Tuesday - Fried Chicken Wednesday - Steak Thursday - Pork Chops Friday - Salmon Saturday - Pot Roast This example represents a one-to-one function because, for every y-value (day of the week) there is only one unique x-value (dinner special). A non-example might be with these breakfast specials at the same restaurant: Sunday - Omelet Monday - Pancakes Tuesday - Scrambled Eggs Wednesday - Waffles Thursday - Scrambled Eggs Friday - French Toast Saturday - Eggs Benedict This is not an injective function because, for two days (Tuesday and Thursday), the special is the same -scrambled eggs. The Horizontal Line Test The horizontal line test is a method to determine if a function is a one-to-one function or not. It is used exclusively on functions that have been graphed on the coordinate plane. It is called the horizontal line test because the test is performed using a horizontal line, which is a line that runs from left to right on the coordinate plane. How It Works When you have the graph of a function, place a horizontal line across the graph. Sometimes it is easiest to use a thin ruler or piece of paper as the line and hold it up against the graph. Be sure to move it up and down along the y-axis to hit all points of the graph. It is possible that the horizontal line will touch the graph in one place in some areas but in two places in other areas. null null If the horizontal line only crosses the graph of the function in one place, then the function is one-to-one. This is because there is only one x-value for each y-value. null If the horizontal line crosses the graph in more than one place, it is not a one-to-one function, because there is more than one x-value for certain y-values.


5 0
3 years ago
The high school dance team is learning a new routine to a song that lasts 3 minutes and 41 seconds, or 221 seconds total. Yester
Alex Ar [27]
The correct answer is C - 221 = 22h - 45
3 0
4 years ago
Read 2 more answers
What is the awnser to<br> −n+(−3)+3n+5
Fofino [41]

Answer:

2n+2

Step-by-step explanation:

-n+(-3)+3n+5

-3+5+3n-n

2+2n or 2n+2

5 0
3 years ago
Other questions:
  • The length of a rectangle is 5 meters less than 3 times the width. The perimeter is 54 meters. Find the width.
    6·1 answer
  • Describe how the graph of the function y = f(x-3) can be obtained from the graph of y = f(x).
    13·1 answer
  • How many seconds are in 3.14 hours, why?
    5·1 answer
  • Use the graph to evaluate the function.<br> f(-5) =<br> y<br> -8 -6
    5·1 answer
  • Square root of 500 over the square root of 5​
    14·1 answer
  • What Is the surface area of 16 inches, 4 inches, and 9 inches
    5·1 answer
  • 16% of 23 <br> please helpppppp <br> 1% of the same number is 4.6
    6·1 answer
  • Can someone give me the answer and explanation
    11·1 answer
  • Write the ratios / find value of X
    15·1 answer
  • Choose the correct words from the drop-down menu to make a true statement about the system of equations.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!