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Ilia_Sergeevich [38]
4 years ago
9

Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5

Line 1: f(x) = 2(x2 − 8x) + 5 Line 2: f(x) = 2(x2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)2 − 27
Mathematics
2 answers:
Brilliant_brown [7]4 years ago
8 0
Mistake in line one

He forgot to factor the 2 out of -8x
poizon [28]4 years ago
4 0

Answer: the answer would be line 1

Step-by-step explanation:

I took the test

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Find f(4) when f(x)=4x^2 - 2 x - 4
prisoha [69]

Answer:

52

Step-by-step explanation:

f(x)=4x^2-2x-4

f(4)=4(4)^2-2(4)-4 (I replaced x with (4) since we are to find f(4).)

f(4)=4(16)-2(4)-4    (By the order of operations, we take care of the exponents before whatever else we have here.)

f(4)=64-8-4           (By the order of operations, we take care of the multiplication as we see if left to right.)

f(4)=56-4              (By the order of operations, we perform addition/subtraction as we see it left to right.)

f(4)=52                 (This completes the simplification.)

We could have also put this in our calculator as:

4(4)^2 -  2(4)  -  4

This would have returned 52.

8 0
3 years ago
0.6 + 0.2x = -0.48<br> .60<br> What is the answer
vitfil [10]

Answer:

x=-5.4

Step-by-step explanation:

0.6+0.2x=-0.48

0.2x=-0.48-0.6

0.2x=-1.08

x=-1.08/0.2

x=-5.4

4 0
4 years ago
Red Bookstore wants to ship books from its warehouses in Brooklyn and Queens to its stores, one on Long Island and one in Manhat
arlik [135]

Answer:

red ships books from Brooklyn to long Island = 230

books from Queens to long Island   = 1270

books shipped from Brooklyn to Manhattan =  770

books shipped from from Queens to Manhattan  = 730

Step-by-step explanation:

Given:

Total books at Brooklyn warehouse = 1,000

Total books at Queens warehouse = 2,000

Books required = 1500 each

total transportation budget = $8460  

Costs of shipping each book from Brooklyn to Long Island = $5

Costs of shipping each book from Brooklyn to Manhattan = $1

Costs of shipping each book from Queens to Long Island = $4

Costs of shipping each book from Queens to  Manhattan = $2

let the books from Brooklyn to long Island = x

and, y books from Queens to long Island  

Therefore,

books shipped from Brooklyn to Manhattan = 1000 - x

and,

books shipped from from Queens to Manhattan  = 2000 - y

also,

x + y = 1500

or

x = 1500 - y ..............(a)

also

total transport = $5x + $1(1000-x) + $4y + $2(2000-y) = $8460

or

5x + 1000 - x + 4y + 4000 - 2y = 8460

or

4x + 5000 + 2y = 8460

or

4x + 2y = 3460

or

2x + y = 1730  ................(b)

on solving (a) and (b)

2 × (1500 - y) + y = 1730

or

3000 - 2y + y = 1730

or

-y = -1270

or

y = 1270

therefore,

x = 1500 - 1270 = 230

hence,

red ships books from Brooklyn to long Island = x = 230

books from Queens to long Island   = y = 1270

books shipped from Brooklyn to Manhattan = 1000 - x = 1000 - 230 = 770

books shipped from from Queens to Manhattan  = 2000 - y = 2000 - 1270

= 730

8 0
4 years ago
What is the approximate area that is shaded blue?
weeeeeb [17]
The answer to this question is c i think
7 0
3 years ago
Read 2 more answers
354<br> Find the value of x. Give your answer in simplest radical form
Sveta_85 [38]
Sorry but this problem is not complete to my expectation x is going to equal 354
4 0
3 years ago
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