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d1i1m1o1n [39]
4 years ago
10

The cost to mail a package is $7 for the first 2 pounds and 30 cents for each additional ounce. Which of the following functions

represents the cost to mail a package if x is the number of ounces over 2 pounds? ƒ(x ) = 7 + 0.3x ƒ(x ) = 14 + 0.3x ƒ(x ) = 0.3(x + 2)
Mathematics
1 answer:
TiliK225 [7]4 years ago
5 0
The cost to mail a 2-lb package is $7.
The cost to mail a 2-lb, 1 oz package is $7+$0.30(1).
That to mail a 2-lb, 2 oz package is $7+$0.30(2) = $7.60.

Following this pattern, the general formula is f(x) = $7 + $0.30x, where x represents the number of ounces OVER 2 lb.


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5x + 2y = 7
zvonat [6]

Answer:

(\frac{5}{7},\frac{12}{7})

Step-by-step explanation:

The given system is

5x+2y=7

y=x+1

We substitute the bottom equation into the top equation to get:

5x+2(x+1)=7

Expand to get:

5x+2x+2=7

Group similar terms:

5x+2x=7-2

Combine similar terms:

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x=\frac{5}{7}

Put x=\frac{5}{7} into the bottom equation

y=\frac{5}{7}+1

y=\frac{5+7}{7}

y=\frac{12}{7}

The solution is

(\frac{5}{7},\frac{12}{7})

8 0
3 years ago
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The quadratic $10x^2+100x+1000$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$?
alexandr1967 [171]

Answer:

765

Step-by-step explanation:

Hello, please consider the following.

10x^2+100x+1000=10(x^2+10x+100)\\\\=10((x+5)^2-25+100)\\\\=10(x+5)^2+750

So, a = 10, b = 5, c = 750 and the sum is 765.

Thank you

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Step-by-step explanation:

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