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Crank
2 years ago
15

11. FOUR 4's. Using only four 4's, the operations (+,-, x, +), and parentheses,

Mathematics
1 answer:
Marysya12 [62]2 years ago
7 0

Answer:

  see below

Step-by-step explanation:

You want an arithmetic expression using four 4s that evaluates to each of the digits 0-9.

<h3>Expressions</h3>

0 = 4 +4 -4 -4

1 = 4/4 +4 -4

2 = 4 -(4 +4)/4

3 = (4 +4 +4)/4

4 = 4 + (4 -4)*4

5 = (4*4 +4)/4

6 = 4 +(4 +4)/4

7 = 4 +4 -4/4

8 = 4 +4 +4 -4

9 = 4 +4 +4/4

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Answer <u>(assuming it can be in slope-intercept form)</u>:

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Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}

So, the slope is -\frac{5}{4}.

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Since m represents the slope, substitute -\frac{5}{4} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7

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