Answer:
In the procedure
Step-by-step explanation:
we know that
A polynomial which has only one term is called monomial
The degree of a monomial is defined as the sum of all the exponents of the variables
<em>Examples</em>
If the monomial has only one variable
3x² -----> is a monomial of the 2 degree with a leading coefficient of 3
If the monomial has more than one variable
3xy ----> is a monomial of the 2 degree with a leading coefficient of 3
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
The equation has to (or be transformed to) contain one object in the left side and the other object at the right side multiplied by a constant, without an independent term.
Answer:
-2/3
Step-by-step explanation:
Log125(1/25)=x
Raise each side to the base of 125
125^Log125(1/25)=125^x
1/25 = 125^x
Rewrite 25 as a power of 5 and 125 as a power of 5
1 / 5^2 = 5^3^x
The if power is in the denominator, we can bring it to the numerator by making it negative
5^-2 = 5^3^x
We know that a^b^c = a^(b*c)
5^-2 = 5^(3*x)
Since the bases are the same, the exponents are the same
-2 = 3x
Divide by 3
-2/3 = 3x/3
-2/3 =x
Ok, so we need to take 60 x 60. That gives us 3600, which is the amount of seconds in 60 minutes. Then we need to take 3600 x 24, to figure out the number of seconds in 24 hours (1 full day). That gives us 86,400. Finally, we take 86400 x 365, to determine how many seconds are in 1 full year (365 days). That gives us the answer of <span>31536000. Hope this helps!</span>
