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maw [93]
3 years ago
6

Using the completing-the-square method, rewrite f(x) = x2 - 8x + 3 in vertex form.

Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Given

f(x) = x² - 8x + 3

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 3

(x - 4)² - 13 ← in vertex form → B

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Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements a
Anni [7]

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d)  Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

4 0
2 years ago
If the lines x+y=5 and 2x +2y+6=0 are parallel, find the distance between them
kobusy [5.1K]
Pretty sure the distance is 8 units
5 0
3 years ago
I need help pleaseeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!
liq [111]

Answer:

2/12

Step-by-step explanation:

You have to divide 2/3 by 4 which is the same as multiply 2/3 with 1/4.

This will give you 2/12

3 0
2 years ago
Read 2 more answers
I need help figuring this problem out. <br> -x÷1/2=?
Lesechka [4]
-x divided by 1/2 = -2x
3 0
3 years ago
Which expression is equal to 5^4⋅5^8 ? 512 54 52 5−4
KiRa [710]

Answer is 5^12 which is choice A (assuming you meant to put the ^ symbol)

The bases are the same (both are 5), so you add the exponents: 4+8 = 12. The base stays the same the entire time.

So, 5^4*5^8 = 5^(4+8) = 5^12

3 0
3 years ago
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