Step-by-step explanation:
<u>Step 1: Add the numbers: 9.5 +6.2 = 15.7</u>
<u>Step 2: Subtract the numbers: 15.7 - 12.25 = 3.45</u>
<u>Step 3: Multiply the numbers: 8.6 × 3.45 = 29.67</u>
<u />
<u />
<u />
- To solve this equation, the first step is to add the numbers 9.5 + 6.2 into the equation and it will lead to 15.7 as the number for step one.
- To solve this equation, the second step is to subtract the numbers 15.7 - 12.25 into the equation and it will lead to 3.45 as the answer.
- To solve this equation, the third step is to multiply the numbers 8.6 x 3.45 into the equation and it will lead 29.67 as the final answer for the whole equation.
Answer:
Hope this helps.
<h2>
Answer</h2>
The equation is y = 2x - 12
<h2>
Explanation</h2>
Equation in slope intercept form is
Where,
m = slope
b = y-intercept
Putting the value of slope in this equation:
From this we can solve the equation for b
Now, the equation of y-intercept becomes
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be
.
You're minimizing
subject to the constraint
. Note that
and
attain their extrema at the same values of
, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
The Lagrangian is
Take your partial derivatives and set them equal to 0:
Adding the first three equations together yields
and plugging this into the first three equations, you find a critical point at
.
The squared distance is then
, which means the shortest distance must be
.
A] Given that the last years's sales was $144,600 and this years sales should increase by 1/3. Then:
i] Amount the sales should increased by will be:
(last year's sales)*(increase)
=144,600*(1/3)
=48,200
ii] The sales in the new year will be:
(last year's sales)+(increase)
=144600+48600
=$192, 800
2] Given that the sales of hifi which included 6% tax was 205,000. The actual sales was:
Actual percentage sales=100%
percentage sales after taxation=100-6=94%
thus the actual sales was:
(100)/(94)*205,000
=218, 085.1064
3]Given that the rate per $100 is $0.83, and the insurance was for 90000, the insurance premium will be:
(total insurance) *(unit rate)/(number of units)
plugging the values we obtain:
90000*0.83/100
$747
Answer:
x=-7
Step-by-step explanation:
1. Distribute the 7 into the parenthesis: -7-2x=7x+56
2. Combine like terms by doing the opposite operation to the numbers: -7=9x+56 (added 2x to 7x)
3. Subtract 56 to each side of the equation: -63=9x
4. To isolate the variable "x," divide each side by 9: x=-7
