Answer:
x = -2
Step-by-step explanation:
So we are given the equation -3(3x + 3) = -2x + 5 and we are solving for x. We will have to try to get the equation into the form x = _. That would be our answer.
-3(3x + 3) = -2x + 5
Distribute the -3 on the left side.
-9x - 9 = -2x + 5
Add 2x to both sides to get rid of the -2x on the right side.
-9x - 9 + 2x = 5
Simplify.
-7x - 9 = 5
Add 9 to both sides to get rid of the - 9 on the left side.
-7x = 5 + 9
Simplify.
-7x = 14
Divide both sides by -7 to get rid of the coefficient of -7 on the left side.
x = 14 ÷ (-7)
Simplify.
x = -2
The answer is x = -2.
I hope you find my answer helpful. :)
Answer:
It would take you 5/3 hours, or 1 hour and 40 minutes.
Hope I helped! ☺
Answer:
the least integer for n is 2
Step-by-step explanation:
We are given;
f(x) = ln(1+x)
centered at x=0
Pn(0.2)
Error < 0.01
We will use the format;
[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01
So;
f(x) = ln(1+x)
First derivative: f'(x) = 1/(x + 1) < 0! = 1
2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1
3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2
4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6
This follows that;
Max|f^(n+1) (c)| < n!
Thus, error is;
(n!/(n + 1)!) × 0.2^(n + 1) < 0.01
This gives;
(1/(n + 1)) × 0.2^(n + 1) < 0.01
Let's try n = 1
(1/(1 + 1)) × 0.2^(1 + 1) = 0.02
This is greater than 0.01 and so it will not work.
Let's try n = 2
(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267
This is less than 0.01.
So,the least integer for n is 2
By taking <span>logarithmic of base 10
∴ </span><span>
∴ x log 4 = log 64
∴
note: we don't need to write the base in case of the base =10
∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>
Answer:
AC = 52
Step-by-step explanation:
Add the segment lengths together.
AB + BC = AC
22 + 30 = 52
