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3 years ago

Simplify the following. (the answer is not 0)

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

6 0

Answer:

Step-by-step explanation:

4[5+2(6-2*3)]-5[4(16÷4-12÷4)-4+2]

4[5+2(6-6)]-5[4(4-12÷4)-4+2]

4[5+2(6-6)]-5[4(4-3)-4+2]

4[5+2(0)]-5[4(1)-4+2]

4[5+0]-5[4-4+2]

4[5]-5[0+2]

4[5]-5[2]

20-5[2]

20-10

Delvig [45]3 years ago

3 0

Answer:10

Step-by-step explanation:

4[5+2(6-6)]-5[4(4-3)-4+2]=20-5[4-2]=10

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In the algebraic expression 7/y why is coefficient of y? Explain.

dybincka [34]

Answer:

7 is the (constant) coefficient of 1/y, but no, it is not the coefficient of y

Step-by-step explanation:

7/y can be rewritten as 7(1/y) or as 7(y^[-1]). In this case, yes, 7 is the (constant) coefficient of 1/y, but no, it is not the coefficient of y.

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3 years ago

A line passes through the point (1, - 6) and has a slope of 8. Write an equation in slope-intercept form for this line.

Annette [7]

Answer:

$\boxed {\boxed {\sf y=8x-14}}$

Step-by-step explanation:

We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.

$y-y_1= m(x-x_1)$

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of the line is 8 and it passes through the point (1, -6). Therefore,

m= 8
x₁= 1
y₁= -6

Substitute these values into the formula.

$y- (-6) = 8(x-1)$

Remember that 2 back to back subtraction signs are the same as an addition sign.

$y+6=8(x-1)$

The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.

$y+6 = (8*x) + (8*-1)$

$y+6= (8x)+ (-8)$

$y+6=8x-8$

6 is being added to y. The inverse operation of addition is subtraction, so we subtract 6 from both sides of the equation.

$y+6-6=8x-8-6$

$y=8x-8-6$

$y= 8x-14$

The equation of the line in slope-intercept form is <u>y=8x-14</u>. The slope is 8 and the y-intercept is -14.

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