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Paul [167]
2 years ago
15

Write a proof. Given x = 2 = 3 (x - 4) Prove x = 5

Mathematics
1 answer:
Galina-37 [17]2 years ago
6 0

Step-by-step explanation:

The equation in the question is false.

x - 2 = 3(x - 4)

x - 2 = 3x - 12

3x - x = 12 - 2

2x = 10

x = 10 \div 2

x = 5

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Step-by-step explanation:

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The sales tax on $350 is 22.75 find the sales tax rate
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To find the tax rate when given the initial price of an object and the final tax value, you use the equation: $350 * X = $22.75 (where X is the sales tax rate). Then solve:
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3 years ago
A deck of playing cards were dealt equally among four players. Each player received 13 cards. How many cards are in a deck? Let
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8 0
3 years ago
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-2-(3(x+6)-9-(7-x)-3x
olchik [2.2K]

Answer:

- 24 - 5x

Step-by-step explanation:

1) Remove Parentheses

-2 - 3x - 6 - 9 - 7 + x - 3x

2) Collect like terms

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3) Simplify

7 0
2 years ago
Let sugar be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 57 + 2.5x?
algol13

Answer: Choice E)

The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.

=============================================================

Explanation:

x = amount of sugar (in grams)

y = number of calories in the juice

ŷ = estimate of y, so its the estimate of calories in the juice

The regression equation rearranges to ŷ = 2.5x + 57

This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.

The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5

The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.

All of these facts point to choice E as the final answer.

6 0
3 years ago
Read 2 more answers
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