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mr_godi [17]
2 years ago
5

Translate the sentence into an equation.

Mathematics
1 answer:
Andreas93 [3]2 years ago
5 0
<h2>Translating Sentences into Equations</h2>

A key part of this is recognizing certain words to change into operations or numbers:

  • <em>quotient</em> = divide
  • <em>three more</em> = add 3
  • <em>'a/the number' </em>= use a variable (in this case, it's <em>w</em>)

<h2>Solving the Question</h2>

We're given:

  • Three more than the quotient of a number and 7 equals 6
    ⇒ 'the quotient of a number and 7' tells us we divide <em>w</em> by 7:
  • Three more than \dfrac{w}{7} equals 6
    ⇒ 'three more than' means we add 3 to the fraction:
  • \dfrac{w}{7}+3 equals 6
  • \dfrac{w}{7}+3=6

<h2>Answer</h2>

\dfrac{w}{7}+3=6

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Step-by-step explanation:

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2 years ago
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What is happening to this graph when the x-values are between - 1 and 1?
sp2606 [1]

Answer:

A. It’s decreasing

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well on the graph at points -1 and 1 we can tell the line is going down,

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<em>Hope this helps :)</em>

4 0
3 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 
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Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that 
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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
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Elis [28]

9514 1404 393

Answer:

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Step-by-step explanation:

The bar graph is not completely labeled, but in the context of the question it seems safe to assume that the vertical scale can be considered to represent relative frequency.

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

big brain time

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