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Olenka [21]
4 years ago
14

3) Why is a balance scale a good representation of an algebraic equation?

Mathematics
1 answer:
elena55 [62]4 years ago
8 0

Answer:

In every equation, both sides equal the same thing; it always ends with both sides adding up to be equal. In a balance scale, both sides are also equal.

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Find the range of y = -3x + 7 for the domain {-8, -6, -3, -2, 2}
svetlana [45]
The domain is the set of x-values of a function. The range is the set of y-values of a function.

You are told that the domain, or x-values, are -8, -6, -3, -2, and 2. To find the range, you just need to plug in each of the x-values into the function <span>y = -3x + 7 and find the value of y.
1) When x = -8:
</span><span>y = -3x + 7
y = -3(-8) + 7
y = 24 + 7
y = 31

2) When x = -6
</span>y = -3x + 7
y = -3(-6) + 7
y = 18 + 7
y = 25

3) When x = -3
y = -3x + 7
y = -3(-3) + 7
y = 9 + 7
y = 16

4) When x = -2
y = -3x + 7
y = -3(-2) + 7
y = 6 + 7
y = 13

5) When y = 2
y = -3x + 7
y = -3(2) + 7
y = -6 + 7
y = 1

The range is {31, 25, 16, 13, 1}.

-------

Answer: 
{31, 25, 16, 13, 1}
5 0
3 years ago
Can someone help 12 points on the line
ANTONII [103]

Answer:

x=6

Step-by-step explanation:

We can write this as a ratio

x        9

---- = --------

10       15

Using cross products

15x = 10*9

15x = 90

Divide by 15

15x/15 = 90/15

x =6

7 0
3 years ago
Emily and Miranda are standing outside. Emily is 5 feet tall and casts a shadow of 28 inches. Miranda's shadow is 29.4 inches lo
Andre45 [30]
I think the answer is 5 feet 3 inches
8 0
3 years ago
Read 2 more answers
Hello any help here?
natima [27]
I sorry I don’t know this one
4 0
3 years ago
A man invests $8 000 at 12% simple interest for 3 years. If he invests the same amount of money for the same time period at 12%
AleksandrR [38]

Answer:

  $359.42

Step-by-step explanation:

The difference in the investment values can be computed by making use of the formulas for the account balance in each case.

  compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually

  simple interst: A = P(1 +rt) . . . . simple interest at rate r

__

The account earning simple interest will have a balance of ...

  A = $8000(1 +0.12×3) = $10,880

The account earning compound interest will have a balance of ...

  A = $8000(1 +0.12)^3 ≈ $11,239.42

The difference between the two investments is ...

  $11,239.42 -10,880 = $359.42

5 0
2 years ago
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