Answer:
Step-by-step explanation:
We can do this the easy way and just set up an inequality and let the factoring do the work for us. The inequality will look like this:
We will move the constant over and get
and when you factor this you get that
3 < t < 4
Between 3 and 4 seconds is where the projectile reaches a height higher than 192 feet. With a little more work and some calculus you can find the max height to be 196 feet.
Y ≤ x - 5
y ≥-x - 4
x - 5 = -x - 4
+ x + x
2x - 5 = -4
+ 5 + 5
2x = 1
2 2
x = ¹/₂
y = x - 5
y = ¹/₂ - 5
y = -4¹/₂
The following points that lie in the solution set to the following system of inequalities is (¹/₂, -4¹/₂).
Answer:
A. {–8, –2, 18}
Step-by-step explanation:
y = 5x − 2
x = −1.2 ----> y = 5(−1.2) − 2 = −6 − 2 = −8
x = 0 -----> y = 5(0) − 2 = 0 − 2 = −2
x = 4 -----> y = 5(4) − 2 = 20 − 2 = 18
Since the first part says the value is five less then twice the square of a negative number we get the first equation as 2(-x)²-5. Then we have that -9x is equal to that previous equation. Therefore our new equation is 2(-x)²-5=-9x. We can move the nine over by adding it to both side to get 2(-x)²+9x-5=0. Then you can use any method of factoring (I prefer quadratic formula) to get your values for x. By doing so, you’ll get x=28 and x=-32.5. Since the problem said the number was negative in the first part, you know you can’t have the 28 as the answer so the right answer is -32.5.
1144 Liters of oil.
For every 5 there is 8 used. So 440/5 = 88. 88 units times 8 is 704. 704 synthetic plus 440 natural is 1144 liters of oil total.
