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Alecsey [184]
4 years ago
14

Given the equation f(x) = (x 3)2 – 8, fill in the blanks:axis of symmetry: x =a1vertex:(a2, a3)number of real solutions: a4

Mathematics
2 answers:
Paha777 [63]4 years ago
3 0
F ( x ) = ( x + 3 )² - 8 = x² + 6 x + 9 - 8 = x² + 6 x + 1
For the quadratic function:
Axis of symmetry is: x = -b/ 2 a, where: a = 1, b = 6 ( because it it in the form:
y = a x² + b x + c ).
Therefore: x = -6 / 2 = -3.
f ( - 3 ) = ( - 3 + 3 )² - 8 = 0 - 8 =  - 8
And D = b² - 4 a c = 6² - 4 * 1 * 1 = 36 - 4 = 32 ( greater than 0 ). It means that there are 2 real solutions.
Answer: x = - 3 , vertex : ( - 3 , - 8 ), Number of real solutions : 2.
a 1 = - 3 ,  a 2 = - 3 , a 3 = - 8 ,  a 4 = 2. 

Novosadov [1.4K]4 years ago
3 0

Answer:

A

Step-by-step explanation:

just took the test on edg 2020

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Nostrana [21]

Answer:

H = 10 inches

Step-by-step explanation:

The fomula for area of a trapezoid is

A = (1/2)(B1 + B2)H        

where B1 is a base, B2 is the other base, and H is the height

   

It reads as "Area is one half the product of the sum of the bases and the height"

Plug in what you are given and solve for H.  We are given A, B1, and B2

50 = (1/2)(3 + 7)H

   50  =  (1/2)(10)H       (simplify the parenthesis first)

     50 = 5H                   (simplify the right side)

        10 = H                  (divide by 5 on both sides to isolate H)

5 0
3 years ago
2 The product of two numbers is 5425. If one of them is 25. What is the other 2 number​
OleMash [197]

Answer:

217

Step-by-step explanation:

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5 0
3 years ago
I have a 53 3/4 foot of rope. How many 4ft ropes can I make?
erma4kov [3.2K]
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To find out how many 4ft ropes you can make divide 53.75 by 4

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at 43 years old, your uncle is 6 years younger than your mother. How old is your mother. Write an expression
SashulF [63]
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5 0
4 years ago
Read 2 more answers
(x+5)to the second power -4=12​
Softa [21]

Answer:

x = 3i

Step-by-step explanation:

(x+5)² - 4 = 12

simplify (x+5)²

x × x + 5 × 5 - 4 = 12

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x² + 21 = 12

combine the like terms

x² = 12 - 21

x² = -9

square root both sides to solve for x

√x² = √-9

the square cancels the square root, so we have

x = √-9

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5 0
3 years ago
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