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Inga [223]
3 years ago
10

The local baseball team won the national championship last year. At the start of the baseball season, shirts signed by the team

members sold for $250. However, three months into the season, the team had a losing record and the shirts were only selling for $75.
Write an equation to represent this situation. Assume that the price of the shirts decreased by the same rate each month.
Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

Step-by-step explanation:

Multiplier: -175/3 Decrease: 23⅓ %

Step-by-step explanation: 75 = 250 - 3(d) d = -175/3 Y = 250 - (175/3)m

Where m is the no.

of months Y is the new value

(175/3)/250 × 100 = 70/3 %

Or 23⅓ %  

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Find the second derivative at the point (2,2), given the function below. 2x^4=4y^3
Bogdan [553]

The second derivative at the point (2,2) is 34/9

<u>Explanation:</u>

<u></u>

2x⁴ = 4y³

2x⁴ - 4y³ = 0

We first need to find dy/dx and then d²y/dx²

On differentiating the equation in terms of x

dy/dx = d(2x⁴ - 4y³) / dx

We get,

dy/dx = 2x³/3y²

On differentiating dy/dx we get,

d²y/dx² = 2x²/y² + 8x⁶/9y⁵

\frac{d^2y}{dx^2} = \frac{2 X 2^2}{2^2} + \frac{8 X 2^6}{9 X 2^5}\\  \\\frac{d^2y}{dx^2} = 2 + \frac{16}{9}\\  \\

d²y/dx² = 34/9

Therefore, the second derivative at the point (2,2) is 34/9

7 0
3 years ago
The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli
ira [324]

Answer:

\dfrac{40}{42}

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

\dfrac{x}{x+2}

If both numerator and denominator are decreased by six, the fraction becomes:

\dfrac{x-6}{x+2-6}

The simplified result is \dfrac{17}{18}

Therefore:

\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40

Substituting x=40 into the initial fraction

\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}

Therefore, the original fraction is \dfrac{40}{42}

4 0
2 years ago
Right the slope intercept of the equation of the line through the given point with the given slope through (2, 1) slope = 5/2 m=
solmaris [256]
M = 5/2
B = -4
Y - 1 = 5/2(x - 2)
Y - 1 = 5/2x - 5
+1. +1
Y = 5/2x - 4

(I think)
6 0
3 years ago
Graph y = 3x - 3 and label the x- and y-intercepts. My answer: (0,3)
Lesechka [4]
The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x  = - 3
x = ( - 3 ) : ( - 3 ) 
x = 1
When x = 0
y = 3 * 0 - 3 
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) = 
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 . 
5 0
2 years ago
If randy earns $12.74 per hour, what is his overtime rate? How much should randy make if he works 45 1/2 hours during 1 week?
elena-14-01-66 [18.8K]

Answer:

$19.24 is the overtime rate $579.67 one week

Step-by-step explanation:

So $13.00 its $19.50 so I subtracted $12.74 to $13.00 got 0.26 then subtracted $19.50 by 0.26 and got $19.24

$12.74 times 45.5 that will be $579.67 for just one week

If I didn't get it right. Tell me in the comments. I think I got it right.

8 0
3 years ago
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