a truck that can carry no more than 6400 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
2 answers:
I'm not going to do the entire question, but I'll do the first part.
For the first part, you have to set up an inequality. Use context clues, such as no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:
6400
250r + 475p
where r represents the # refrigerators, and p represents the # pianos
Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.
Hope this helps! :)
For the first part, you have to set up an inequality. Use context clues, such as no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:
6400
where r represents the # refrigerators, and p represents the # pianos
Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.
Hope this helps! :)
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Answer:
Summation notation is:
If you prefer it a little more simplified:
Step-by-step explanation:
First my favorite part, finding a pattern between the consecutive terms.
This is an arithmetic series because the terms are going up by 5 each time.
So arithmetic sequence, think linear equations:
x | y
1 -9
2 -4
3 1
4 6
..................
n 66
We are going to have to find that n but will will eventually...
The equation for a line in point slope form is where
is a point on the line and m is the slope.
We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).
I'm going to use the first point (1,-9).
So the equation in point slope form is
Subtract 9 on both sides:
Now we need to know how many terms we are adding so what is x if y=66.
Add 9 on both sides:
Divide both sides by 5:
Add 1 on both sides:
We have 16 terms in this sequence where the 16th term is 66.
Summation notation is:
You could simplify the 5(x-1)-9.
Distribute: 5x-5-9
Add like terms: 5x-14
Answer:
it is a right triangle.
Step-by-step explanation:
you would solve by using pythagorean theorem. Firstly you would find the square roots. Then write the pythagorean theorem out replacing the variables with the corresponding numbers. All you do for this is find the greatest number and that is c. Lastly you would add the square roots of a and b, if this equals 28 then they are equal. Ask more questions if I did not explain this clearly.
