Answer:
-4
Step-by-step explanation:
6 - 2x = 3
-2x = 3 + 6
-2x = 8
x= 
x= -4
I apologize if this isn't the right answer.
Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to
where
substitute
Convert to expanded form
using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
First let's make the denominators of the fractions equal.
To do this, we have to find a number which both 5 and 7 divide into.
The smallest number that does this is 35.
2 --> Multiply the numerator by 7
--
5 --> Multiply the denominator by 7 to get 35
= 14/35
1 --> Multiply the numerator by 5
--
7 --> Multiply the denominator by 5 to get 35
= 5/35
Joe has eaten 14/35 and James has eaten 5/35.
14 / 5 = 2.8
<u>Joe has eaten 2.8 (or 2 4/5) times more pizza than James.</u>
4 × v + 1 - (4 - 7) < 0
4(v) + 1
Divide (÷) each side side '4'
Then subtract (-) 1 from each side
v < -1
Now we're looking for then inequality plot in: 4.000v + 4.000 < 0
Therefore, your answer would have to be
" x < -1" (:
Based on the calculations, the interest rate on the stock in four (4) years is equal to 7.1%.
<u>Given the following data:</u>
Amount borrowed (Principal) = $22,000.
Simple interest, I = $78.40.
Time = 4 year.
To determine the interest rate on the stock in four (4) years:
<h3>How to calculate simple interest?</h3>
Mathematically, simple interest can be calculated by using this formula:
I = PRT
<u>Where:</u>
- S.I is the simple interest.
- P is the principal or starting amount.
- T is the time measured in years.
Making R the subject of formula, we have:
R = I/PT
Substituting the given parameters into the formula, we have;
R = 6260/(22,000 × 4)
R = 6260/(88,000)
Interest rate = 0.071 = 7.1%.
Read more on simple interest here: brainly.com/question/24341207
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