Answer:
The (constant) rate of change with respect to the variable x of a linear function y = f(x) is the slope of its graph. If x and f have units in Definition 2, then the units of the rate of change are those of f divided by those of x.
Step-by-step explanation:
Answer:
(-3,-1)
Step-by-step explanation:
STEP 1:
convert meters to centimeters
100 cm= 1 meter
= 100 cm/m * 2.5 m
= 250 cm
STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf
since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).
x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48
STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm
CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250
ANSWER: Shelf two is 114 cm.
Hope this helps! :)
Answer:
Each can of soda costs about 33 cents.
Step-by-step explanation:
This is just a simple division problem, and you can find the answer by dividing the cost of the sodas by the total number of sodas, so 4/12. If you complete that problem, the answer is 0.33 repeating, and since it asks you to round to the nearest hundredth, the answer is just 0.33. It is in dollar amounts, so the answer is 33 cents.
X+7<23
x<23-7
x<16
So, all numbers from zero to 15
Those are 16 positive integers