Hi dear,
log(x+3)-log10+logx+1=0
log(x+3)-1+logx+1=0
log(x+3)+logx=0
logx(x+3)=0
x(x+3)=10^0
x^2+3x-1=0
solve this equation that answers are:
X1= [ (13)^(1/2) - 3]/2
X1= [ (13)^(1/2) + 3]/2
Answer:

Where y is the cost and x is the number of skeins of yarn.
Step-by-step explanation:
To model this situation we can use the linear equation:

Where y is the cost, x is the number of skeins of yarn, a is the slope of the equation and b is the y-intercept.
If 2 skeins of yarn cost $7, we have that:

If 8 skeins of yarn cost $28, we have that:

Multiplying the first equation by 4 and subtracting the second equation from it, we have:




Now, finding the value of a, we have:



So our equation is:

Answer:
The vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5). The graph of image and preimage is shown below.
Step-by-step explanation:
From the given figure it is noticed that the vertices of triangle ABC are A(0,0), B(1,5) and C(-4,5).
If a figure rotated at 180º about the origin, then

The vertices of image are



Therefore the vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5).
The graph of image and preimage is shown below.
Standard form : Ax + By = C
y = 2x + 5....subtract 2x from both sides
-2x + y = 5...multiply by -1 to make x positive
2x - y = -5 <=== standard form