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Levart [38]
3 years ago
7

Y+2 = -3(x – 4) Complete the missing value in the solution to the equation. (?, -2)

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

The missing value in the solution to

the equation will be:

  • x=4

Step-by-step explanation:

Given the equation

y+2\:=-3\left(x\:-\:4\right)

As the value of y = -2 is given.

so substituting the value y = -2 in the equation to find the missing value

\left(-2\right)+2\:=-3\left(x\:-\:4\right)

switch the sides

-3\left(x-4\right)=\left(-2\right)+2

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

-3\left(x-4\right)=-2+2

-3\left(x-4\right)=0

\mathrm{Divide\:both\:sides\:by\:}-3

\frac{-3\left(x-4\right)}{-3}=\frac{0}{-3}

x-4=0

x=4

Therefore, the missing value in the solution to

the equation will be:

  • x=4
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Answer:

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Explanation:

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Based on the tables, at what point do the lines y = 3x - 2 and y = -5x - 10 intersect?
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5 0
3 years ago
All three please 10 points
GaryK [48]

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

5(x + 2) - 2 = 3(x - 2)

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

5 0
3 years ago
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