2 years ago

Quiz in genser

1 answer:

5 0

Y result from something being multiplied by X , and the values are always proportional to one another . Notice that putting these points into a ratio of x - value to Y - value result in 1:3 as a simplified version . So , The constant of proportionality is what x is being multiplied by to get y . In this case , it is 3

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In the diagram below, the value of y must be

REY [17]

Answer:

y = 45°

Step-by-step explanation:

4 sides = 360°

(2y+1)° + y° + 112° + 112° = 360°

2y + y = 360 - 112 - 112 - 1

3y = 135

y = 135÷3

= 45°

4 0

2 years ago

[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?

Nitella [24]

Answer:

Step-by-step explanation:

Given the logarithmic equation

$\log_4x+\log_4(x-3)=\log_4(-7x+21)$

First, notice that

$x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x$

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

$\log_4x+\log_4(x-3)=\log_4x(x-3),$

then

$\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3$