For this case we have the following equation:
We apply distributive property on the left side of the equation, taking into account that:
So:
Subtracting 3m from both sides of the equation:
Equal signs are added and the same sign is placed:
We subtract 6 from both sides of the equation:
We divide between -4 to both sides of the equation:
Thus, the solution of the equation is
ANswer:
Answer:
b = -³¹⁄₃
Step-by-step explanation:
We can solve this Algebra equation by separating the variable and constants.
3b + 15 = -26 - 20
3b + 15 = -46
3b = -31
b = -³¹⁄₃
Answer:
6.517%
Step-by-step explanation:
This is a multi-year investment and we are not working with a $1 initial investment. There is no mention of compounding so we will use formula A=P0⋅(1+r)N with A=$18,434 and P0=$14,320. We do not know the value of r. However, N=4 years. Substituting the values we have $18,434=$14,320⋅(1+r)4. Divide both sides of the equation by $14,320. Next, take the fourth root of both sides of the equation and subtract 1 to find the decimal form of r.
$18,4341.287291.065170.06517=$14,320⋅(1+r)4=(1+r)4=1+r=r
Finally, convert r to a percent.
r=0.06517×100%=6.517%
Answer:
A
Step-by-step explanation:
The triangles aren't similar.
The triangles share a side so we cant use anything involving SSS SAS.
The triangles has only known congruent angle so we cant use AA.
The red line is a reflection across the x-axis, so the correct option is d.
<h3>
How to write the equation for the red line?</h3>
First, we know that the black line is represented by y = f(x). Here, we can see that the red line is given by a reflection around the x-axis.
This reflection only changes the sign of the right side, then we get that the function of the red line is:
g(x) = -f(x)
Then we can write this as:
y = g(x) = -f(x) = -1*f(x)
If we divide both sides by -1, we get:
y/(-1) = f(x)
Like in option d, so that is the correct one.
If you want to learn more about reflections:
brainly.com/question/4289712
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