16+5x =8x-5
Reorder the terms
16+5x = -5+8x
Solving for variable for x
Move all terms containing x to the left, all other terms to the right.
Add -8x to each side of the equation.
16+ -3x = -5 + 8x + -8x
Combine like terms: 5x + -8x=-3x
16+-3x = -5 + 8x + -8x
Combine like terms: 8x + -8x = 0
16+-3x = -5 + 0
16+ -3x = -5
Add -16 to each side of the equation
16+-16 + -3x = -5 + 16
Combine like terms: 16+ -16 = 0
0 + -3x =-5 + -16
-3x = -5 + -16
combine like terms: -5 + -16 = -21
-3x = -21
Divide each side by -3
x=7
Answer:
Difference between average day temperature and average night temperature = 70°
Step-by-step explanation:
Given;
Average day temperature = 43° C
Average night temperature = -30° C
Find:
Difference between average day temperature and average night temperature
Computation:
Difference between average day temperature and average night temperature = Average day temperature - Average night temperature
Difference between average day temperature and average night temperature = 43 - (-30)
Difference between average day temperature and average night temperature = 70°
STEP 1:
find the sales tax (decimal form)
x= sales tax
Cost + (Cost * Sales Tax)= Total
plug in known numbers
$9.40 + ($9.40 * x)= $9.87
9.40 + 9.40x= 9.87
subtract 9.40 from both sides
9.40x= 0.47
divide both sides by 9.40
x= 0.47/9.40
x= 0.05 sales tax decimal form
STEP 2:
find sales tax percentage
= 0.05 * 100
or move decimal to the right two decimal places
= 5% sales tax percent form
ANSWER: The sales tax is 5% (or 0.05 in decimal form)
Hope this helps! :)
I believe it’s 100 hopefully it helps
Steps:
1) determine the domain
2) determine the extreme limits of the function
3) determine critical points (where the derivative is zero)
4) determine the intercepts with the axis
5) do a table
6) put the data on a system of coordinates
7) graph: join the points with the best smooth curve
Solution:
1) domain
The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0
=> x > 3 <-------- domain
2) extreme limits of the function
Limit log (x - 3) when x → ∞ = ∞
Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote
3) critical points
dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)
4) determine the intercepts with the axis
x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4
y-intercept: The function never intercepts the y-axis because x cannot not be 0.
5) do a table
x y = log (x - 3)
limit x → 3+ - ∞
3.000000001 log (3.000000001 -3) = -9
3.0001 log (3.0001 - 3) = - 4
3.1 log (3.1 - 3) = - 1
4 log (4 - 3) = 0
13 log (13 - 3) = 1
103 log (103 - 3) = 10
lim x → ∞ ∞
Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
