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astra-53 [7]
2 years ago
5

A man who has lost $37 playing roulette in Las Vegas wins $43 playing blackjack. He then loses $44 playing wheel of fortune. Wri

te an expression using the numbers -37, 43 and 44 to describe this situation and then simplify it. Write your simplified result below.
_____
Mathematics
1 answer:
Rina8888 [55]2 years ago
7 0

Answer:

(-37+43)-44=x

Step-by-step explanation:

i put the parentheses only because of PEMDAS. it's a pretty straightfoward question. To put it in an expression however, I'm not sure. Best of luck!

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The graph shows a proportional relationship. Which equation matches the
Elan Coil [88]

Answer:

The answer is C.

Just trust me.

5 0
2 years ago
I can't figure this out
andriy [413]
Suppose that equation of parabola is
y =ax² + bx + c


Since parabola passes through the point (2,−15) then 
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,−5), then 
−5 = 9a − 3b + c


Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that 
a = −2, b = −4, c = 1

Thus, equation of parabola is
y = −2x²− 4x + 1

____________________

Rewriting in the form of 
(x - h)² = 4p(y - k)

i) -2x² - 4x + 1 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 445/36 

vi) (x + 7/6)² = -⅓(y - 445/36) 
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p) 


So, after rewriting the equation would be - 

(x + 7/6)² = 4(-⅛)(y - 445/36)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
__________________
6 0
3 years ago
Read 2 more answers
Find the difference quotient <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D" id="TexFor
AlladinOne [14]

Answer:

-2x - h - 3

Step-by-step explanation:

Step 1: Define

Difference Quotient: \frac{f(x+h)-f(x)}{h}

f(x) = -x² - 3x + 1

f(x + h) means that x = (x + h)

f(x) is just the normal function

Step 2: Find difference quotient

  1. <u>Substitute:</u> \frac{[-(x+h)^2-3(x+h)+1]-(-x^2-3x+1)}{h}
  2. <u>Expand and Distribute:</u> \frac{[-(x^2+2hx+h^2)-3x-3h+1]+x^2+3x-1}{h}
  3. <u>Distribute:</u> \frac{-x^2-2hx-h^2-3x-3h+1+x^2+3x-1}{h}
  4. <u>Combine like terms:</u> \frac{-2hx-h^2-3h}{h}
  5. <u>Factor out </u><em><u>h</u></em><u>:</u> \frac{h(-2x-h-3)}{h}
  6. <u>Simplify:</u> -2x - h - 3

8 0
3 years ago
Read 2 more answers
What is the definition of an irrational number?
lianna [129]
A real number that cannot be expressed as a ratio of integers.
3 0
3 years ago
Read 2 more answers
Please help me IDK how to do this!!!!!!
tatiyna
A parallelogram should have 2 sets of parallel lines. Let's find the slope of line PQ and RS to test.

PQ:
(4-2)/(1-(-3))
2/4
1/2

RS:
(2-0)/(3-1)
2/2
1

Because 1 does not equal 1/2 (the slopes are different) the lines are not parallel. Thus, the figure is not a parallelogram.
5 0
2 years ago
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