Answer:
A. 27
Step-by-step explanation:
21 x 3 = 63
9 x 3 = 27
<span>The derivative here is easy enough to find, first expand the equation into:
</span><span> g(x) = 3 - (x^2 - 10x + 25) = -x^2 + 10x - 22
Take the derivative: g'(x) = -2x +10
</span><span> Now, we have to find when the equation equals zero. So, we set g'(x) = 0. 0 = -2x + 10, 2x = 10, x = 5. When x is 5, this derivative will be zero, and that is the one and only time when the function is constant. When x is less than 5, you can plug in and see that the derivative will be positive, so the function is increasing when x is less than 5. When x is greater than 5, you can plug in and see that the derivative will be negative, so the function decreasing at x is greater than 5. Hope this helped :) have a good day!!!!!!!!!!!!!!!!!!!!!!!! </span>
Answer:
Option a. No; the domain values are at regular intervals and the range values have a common sum 1.
Step-by-step explanation:
x1=3, x2=1, x3=-1, x4=-3
y1=1, y2=2, y3=3, y4=4
x1-x2=3-1→x1-x2=2
y2-y1=2-1→y2-y1=1
x2-x3=1-(-1)=1+1→x2-x3=2
y3-y2=3-2→y3-y2=1
x3-x4=-1-(-3)=-1+3→x3-x4=2
y4-y3=4-3→y4-y3=1
The data doesn't show an exponential function, because the domain values are at regular intervals and the range values have a common sum 1.
First, you need to get rid of the fraction by multiplying both sides by 20 and you would get:
4(x + 2) = 5(x + 6)
Now, you need to get rid of the parenthesis by distributing:
4x + 8 = 5x + 30
Subtract both sides by 5x:
-x + 8 = 30
Subtract both sides by 8:
-x = 22
Now, divide both sides by -1:
x = -22
P.S.: You don't really need a calculator to solve.
Answer:
x = -1
Step-by-step explanation:
y=-3x+6
Put y as 9 and solve for x.
9 = -3x + 6
Add 3x and -9 on both sides.
3x = 6 - 9
Subtract.
3x = -3
Divide 3 into both sides.
x = -3/3
x = -1
