1. You want to find factors of 4×(-49) that add to 21. Those would be +28 and -7. Replacing the term 21g with the sum 28g -7g, we get an expression that can be factored by grouping.
... (4g² +28g) + (-7g -49)
... = 4g(g +7) -7(g +7) = (4g-7)(g+7)
2. After you factor out 5, you have 5(64y² -16y -15). As in the previous problem, you're looking for factors of 64×(-15) = -960 that sum to -16. There are 14 factor pairs of 960, so it can take a little bit of effort to find the right pair. That pair is -40 and 24. As in the previous problem you replace the term -16y with the sum -40y +24y and factor by grouping.
... = 5(64y² -40y +24y -15) = 5(8y(8y -5) +3(8y -5))
... = 5(8y +3)(8y -5)
3. False. It is perhaps easiest to check this by multiplying out the offered factors. Doing that gives you 36k² -36k +8k -8. The collected k terms add to -28k, not -44k.
You would have to start at one side of the following states and drive/fly across each one.
Answer:
-5c^3
Step-by-step explanation:
There are 3 -5's and 3 c's. Because we are multiplying the c's by the product of the fives it is. -5c to the power of 3
Answer:
A.) The function is increasing for all real values of x where x < -4
Step-by-step explanation:
On the interval x < -4, all of the x values are increasing. Before x = -4, the line assumes a positive slope because it is heading upwards. After this interval, the function is decreasing because the slope is heading downwards.
On the interval -6 < x < -2, all of the x values are positive because they lie above the x-axis. This does not necessarily mean that all of the values are increasing.
On the interval x < -6 and x > -2, all of the x values are negative because they lie below the x-axis.
R=12cm
circumference=2×pi×r
=2×3.14×12
=75.36cm
area = pi×r^2
=3.14×12×12
=3.14×144
=452.16cm^2
