Answer:
the first answer is 10 and the second is 40
Step-by-step explanation:
there actually asking how many meters would make 1 centimeter
On the ruler 1 whole centimeter is 10 meter. (The longer line behind the number is the 10th meter )
Dividing fractions
1 ÷ 1/10
Steps
Change the whole number which is 1 into a fraction.
1/1 ÷1/10
Flip the second fraction in the equation.
1/1 ÷ 10/1
Then change the division sign to a multiplication sign. So were multiply instead.
1/1 × 10/1
Multiply the fractions and your answer should be 10/1 .
This fraction is also changed to a whole number.
10/1 = 10
You multiply -21 by 14 to find x, and that would be -21 x 14 = -294, and that is your answer.
The answer is:
The rate of change is not constant and increases then decreases over time. The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.Here's how:
The rate of change of the function is defined and calculated as (refer to the statement beloew):
r = [change in height] / {change in time]For the Table:
refer to the attached picture.
The table shows the calculations for the rate of change (r) for each interval given.
And for the Conclusion,
Refer to the table and notice that in the third ans fifth columns show that:
The rate of change is not constant and increases then decreases over time. The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.
Answer:
The maximum cost is 41 dollars per necklace.
Step-by-step explanation:
The average cost in dollars/necklace is given by :
.....(1)
Where
x is the number of necklaces that are created
To maximize the cost, find the value of x by putting dC/dx = 0

Now put the value of x = 7 in equation (1).

Hence, the maximum cost is 41 dollars per necklace.
Let's solve the first inequality at first. So,
−2(x + 4) + 10 < x − 7
-2x- 8 + 10 < x - 7 By distribution property.
-2x + 2 < x - 7 Adding the like terms.
-2x < x - 7 - 2 Subtract 2 from each sides.
-2x < x - 9 By simplifying.
-2x - x < -9 Subtract x from each sides.
-3x < -9
Since we are dividing by negative 3. So, sign of inequality will get change.
So, x>3
Now the next inequality is,
−2x + 9 > 3(x + 8)
-2x + 9 > 3x + 24
-2x > 3x + 24 - 9
-2x > 3x + 15
-2x - 3x > 15
-5x >15

So, x <-3
Hence, the correct choice is x > 3 or x < −3.