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prohojiy [21]
3 years ago
12

In the year 2005, the average cost of a car could be modeled by the equation C= -15x^2 + 20x - 3 where x is the number of years

since 2005. By the year 2010 the average cost had changed, and the equation could be modeled by C= -10x^2 + 30x - 2. Find the difference in average cost equation for cars between 2005 and 2010.
Mathematics
1 answer:
Rudiy273 years ago
8 0

Answer:

5x^2+10x-3

Step-by-step explanation:

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A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the followi
Vinil7 [7]

Answer:

Step-by-step explanation:

Given that a  box contains one yellow, two red, and three green balls.

Two balls are randomly chosen without replacement.

A) one ball is yellow:

This means one is yellow and other can be any other colour

i.e. drawing one yellow and one from 5 remaining.

This can be as (y,r) (y,g) (r,y) or (g,y)

where y for yellow, r for red and g for green.

B) { At least one ball is red }

This means the two balls should not be different from red.

The favorable outcomes are  two red, (one red, one yellow) (one green, one red). But should not be (green,yellow)

C) :{ Both balls are green }

Here the balls drawn should be only green, green and not any other combination.

D) { Both balls are of the same col

Since yellow is one, there cannot be two yellows

Hence only possibilities are (red, red) or (green, green)

7 0
3 years ago
The graph of a proportional relationship contains the point (8, 4).
Softa [21]
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
(\stackrel{x}{8}~~,~~\stackrel{y}{4})\implies 
\begin{cases}
x=8\\
y=4
\end{cases}\implies 4=k8\implies \cfrac{4}{8}=k\implies \cfrac{1}{2}=k
\\\\\\
\boxed{y=\cfrac{1}{2}x}
6 0
3 years ago
1
Sindrei [870]

Answer:

88

Step-by-step explanation:

88+100+90+87=365

365 divided by 4=91.25

the answer is 88

7 0
3 years ago
Read 2 more answers
Michelle bought 45 meters of cloth to make a pillow case.If each pillow case required 3/4 meters long to make one, how many woul
user100 [1]

Answer:

60

Step-by-step explanation:

45 \div \dfrac34=\dfrac{45}{1} \div \dfrac34=\dfrac{45}{1} \times \dfrac43=\dfrac{45\times 4}{1\times 3} =\dfrac{180}{3}=60

7 0
2 years ago
Read 2 more answers
Which is one of the solutions to the equation 2x^2 - x - 4 = 0
Alex73 [517]

Answer:

x_{1}=\frac{1+\sqrt{33} }{4}\\x_{2}=\frac{1-\sqrt{33} }{4}

Step-by-step explanation:

Using quadratic formula

x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}

we will have two solutions.

2x^2 - x - 4 = 0

So, a=2   b=-1  c=-4, we have:

x_{1}=\frac{+1+\sqrt{-1^{2}-4*2*-4} }{2*2}\\\\x_{2}=\frac{+1-\sqrt{-1^{2}-4*2*-4} }{2*2}

Finally, we have two solutions:

x_{1}=\frac{1+\sqrt{33} }{4}\\\\x_{2}=\frac{1-\sqrt{33} }{4}

5 0
3 years ago
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