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LuckyWell [14K]
3 years ago
15

The price of an item has risen to   $ 248   today. Yesterday it was $ 160 . Find the percentage increase.

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0
We know that the original price is 160 and has increased to 248. To calculate the increase, divide. But first lets find the difference 248-160 =88
\frac{88}{160} = 0.55 = 55\%
The percentage increase is 55%.
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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
2 years ago
Read 2 more answers
Brazilian footballer ronaldo scored 247 goals in 343 matches
vovikov84 [41]

Answer: Ferenc

Step-by-step explanation:

512 / 5.28 = 0.97 goals for every match

247 / 3.43 = 0.72 goals for every match

5 0
3 years ago
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Does anyone know what the √2.25 is when rewritten as a fraction?
Zinaida [17]

Answer:  \sqrt{\frac{9}{4} }

Step-by-step explanation:

This is what it is as a mixed number

\sqrt{2.25}

= \sqrt{2\frac{1}{4} }

= \sqrt{\frac{9}{4} }

If you want it written in exponential form it would look like this:

(\frac{9}{4}) ^{\frac{1}{2} }

5 0
2 years ago
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Find x.<br><br> A. 2√5<br> B. 3√5<br> C. 6
Tems11 [23]

Hello there,

Find x.

Answer: B. 3√5


4 0
2 years ago
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Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)<br> y=
Alja [10]

Answer:

y = (-1/5)x + 23/5

Step-by-step explanation:

Given:

Two points;

(-2,5) and (3,4)

Find:

Equation of slope

Computation:

y = mx + b

5 = m(-2) + b

5 = -2m + b .......... Eq1

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4 = 3m + b .......... Eq2

Eq2 - Eq1

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m = -1/5

5 = -2m + b

5 = -2(-1/5) + b

5 = 2/5 + b

b = 23/5

y = mx + b

y = (-1/5)x + 23/5

3 0
3 years ago
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