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4 years ago

Write an expression equivalent to 3(x-7)

Mathematics

2 answers:

Bond [772]4 years ago

7 0

3(x-7) is where you do distributive property and multiply 3 times x and 3 times 7 so it will be 3x-21

maria [59]4 years ago

5 0

Answer:

3x-21

Step-by-step explanation:

3*x+3*(-7)=3x-21

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An election was held between two persons to select a representative to a certain

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(i) 5/12

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(iii) 420

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(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.

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3 years ago

Wright in point-slope form, slope-intercept form and in standard form an equation that passes through (-1, 2) with slope 4

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Answer:

$\textsf{Point-slope form}: \quad \sf y-2=4(x+1)$

$\textsf{Slope-intercept form}: \quad \sf y=4x+6$

$\textsf{Standard form}: \quad \sf 4x-y=-6$

Step-by-step explanation:

Given information:

Slope = 4
Point on line = (-1, 2)

Point-slope form of linear equation:

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

(where m is the slope and (x₁, y₁) is a point on the line)

Substitute the given slope and point into the formula:

$\implies \sf y-2=4(x-(-1))$

$\implies \sf y-2=4(x+1)$

Slope-intercept form of a linear equation:

$\sf y=mx+b$

(where m is the slope and b is the y-intercept)

Substitute the given slope and point into the formula and solve for b:

$\implies \sf 2=4(-1)+b$

$\implies \sf b=6$

Therefore:

$\sf y=4x+6$

Standard form of a linear equation:

$\sf Ax+By=C$

(where A, B and C are constants and A must be positive)

Rearrange the found slope-intercept form of the equation into standard form:

$\implies \sf y=4x+6$

$\implies \sf 4x-y+6=0$

$\implies \sf 4x-y=-6$

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