Answer:
Part 1)
Part 2)
Step-by-step explanation:
Part 1)
We would like to multiply:
Distribute each term from the first group into the second group. So:
Distribute further:
Combine like terms:
Simplify:
Part 2)
We would like to divide:
Using long division.
Please refer to the attached document.
For the first step, x goes into 2x³ 2x² times. Hence, we multiply our divisor by 2x².
Next, x goes into -6x^2 -6x times. Hence, we multiply our divisor by -6x.
Finally, x goes into -7x -7 times. So, we multiply our divisor by -7 and we simplify.
Therefore:
Answer: 1.25 or 1 1/4 pts
The gradient of the function is constant s the independent variable (x) varies The graph passes through the origin. That is to say when x = 0, y = 0. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear. I believe the answer is C. Hope I helped!
Answer:
Always
Step-by-step explanation:
The rules for positive numbers is that addition and multiplication makes numbers larger. Subtraction and division makes numbers smaller.
Since 12 is a positive number, the result of dividing a positive number by 12 will make it smaller.
Answer:
the number of branches required to use 25 wreaths is 75 branches
Step-by-step explanation:
Given that
The florist used 225 branches of winterberry for making 75 wreaths
First we have to compute the unit rate or the ratio
= 225 ÷ 75
= 3 : 1
Now the number of branches required to use 25 wreaths is
= 3 × 25
= 75 branches
Hence, the number of branches required to use 25 wreaths is 75 branches
