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
MakcuM [25]
1 year ago
5

Given that y = 6 + 4x-x^2express y in the form a.-(x + b)^2, where a and b are

Mathematics
1 answer:
Y_Kistochka [10]1 year ago
4 0

Answer:

6 + 4x − x² = 10 − (x − 2)²

the turning point : (2 , 10)

Step-by-step explanation:

6 + 4x − x² =  − x² + 4x + 6

                 = − (x² − 4x) + 6

                 = − (x² − 4x + 4 − 4) + 6

                 = − [(x − 2)² − 4] + 6

                 = − (x − 2)² + 4 + 6

                 = − (x − 2)² + 10

                 = 10 − (x − 2)²

Then the turning point of y is (2 , 10)

You might be interested in
Please help Factor completely. Show your work (as much work as possible, including a ​list of factors if
defon

Answer:

1. x =0; x = -7

2. x = -3; x = 10

3. x = -5; x = -4

Step-by-step explanation:

(1). 6x² + 42x = 0

6x (x + 7) = 0

6x = 0. OR. x + 7 = 0

x = 0/6. x = 0 - 7

x = 0. x = -7

x = 0

x = -7

(2). x² - 7x - 30 = 0

The factors here are (3, -10)

x² - 10x + 3x - 30 = 0

x ( x - 10) + 3 ( x - 10) = 0

(x + 3) ( x - 10) = 0

x + 3 = 0 OR. x - 10 = 0

x = 0-3. x = 0 + 10

x = -3. x = 10

x = -3

x = 10

(3). x² + 9x + 20 = 0

The factors are ( 4, 5)

x² + 4x + 5x + 20 = 0

x ( x + 4) + 5 ( x + 4) = 0

(x + 5) (x + 4) = 0

x + 5 = 0 . OR. x + 4 = 0

x = 0-5. x = 0 - 4

x = -5. x = -4

x = -5

x = -4

6 0
3 years ago
Read 2 more answers
Write the word sentence as an equation.
Mrrafil [7]

Answer:

Step-by-step explanation:

54 equals 9 more than a number

So if we do this, we get

54 = x+9

x+9 = 54

54-9=x

54-x = 9

3 0
3 years ago
Abigail mixes 2/3 pounds of walnuts with 3/5 pound of dried fruit. To create more of the same mixture, how many pounds of walnut
nignag [31]
1 1/9

To figure out how much walnuts to a pound of dried fruit you’d need to do proportions. So we cross multiply:

2/3 = X
—————- —————-
3/5 = 1

You multiply diagnols 2/3 x 1 = 2/3
3/5 times x is 3/5x.

2/3 = 3/5x. Isolate the variable. Divide 3/5 on both sides cancel out 3/5. 2/3 divide by 3/5 is 2/3 x 5/3 which is 10/9 which equals 1 1/9.

So for 1 lb of dried fruit you need 1 1/9 lb of walnuts to maintain the same mixture
7 0
2 years ago
How do you multiply and divide fractions? please explain in depth with examples.​
Dmitry_Shevchenko [17]

Answer:

To multiply fractions, all you have to do is multiply the numerators and denominators and simplify the result. To divide fractions, you simply have to flip the numerator and denominator of one of the fractions, multiply the result by the other fraction, and simplify.

Step-by-step explanation:

3 0
2 years ago
Find the coordinates of the midpoint of the segment given its endpoints.
Vesna [10]

Answer:

(2, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{1}{2} (x₁ + x₂ ) , \frac{1}{2} (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus

midpoint = [ \frac{1}{2} (5 - 1), \frac{1}{2} (8 - 4 ) ] = (2, 2 )

6 0
3 years ago
Other questions:
  • write an equation of the line with the following information. Through (4,1) and perpendicular to y=1/3x +3
    10·1 answer
  • 3(x+10)=2(2x+16) help please & thank you
    7·1 answer
  • What is the difference of 73.9 and 8.801
    8·1 answer
  • The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as mc024-1.j
    12·2 answers
  • Write an equation in standard form of the parabola that has the same shape as the graph of f(x)=5x^2or g(x)=-5x^2, but with a gi
    11·1 answer
  • Please help me!!! i hate math well most of it any way lol.
    7·2 answers
  • What is the slope for the line PERPENDICULAR to the line shown in the graph?
    11·1 answer
  • Does the point (3,25) lie on the line y = 6x + 7?
    10·2 answers
  • PLEASE ANSWER THE BLANKS ASAP
    9·1 answer
  • Find the 8th term of the geometric sequence 6,-12,24...
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!