<em> 2x = 18 - y</em> is a perfectly good equation just as it stands.
If you were considering representing the equation as a graph, then
you might want to rearrange it, into a form that immediately reveals
some characteristics of the graph. That would make your job easier.
You'd want to rearrange it into 'standard' form for graphing, with 'y' on
one side of the equation and everything else on the other side, like this:
<em> </em> <u>2x = 18 - y</u>
Add 'y' to each side: y + 2x = 18
Subtract 2x from each side: y = -2x + 18
In this form, the equation shows that when it's graphed, the slope
of the line will be -2, and the line will cross the y-axis at the point
where y=18 .
All of these equations will be set up as: h(t) = +v₀t + h₀ where g represents gravity, v₀ represents initial velocity, and h₀ represents initial height. When working with ft/sec, g = 32. So, -g/2 = -16
1a) Length of time to reach its maximum height means you are looking for the x-value of the vertex (aka Axis Of Symmetry).
h(t) = -16t² + 160t
AOS: x = = = 5
Answer: 5 sec
1b) Length of time to fall to the ground means you are looking for the x-intercept when height (y-value) = 0.
h(t) = -16t² + 160t
0 = -16t² + 160t
0 = -16t(t - 10)
0 = -16t 0 = t - 10
t = 0 t = 10
t = 0 is when it started, t = 10 is when fell to the ground.
Answer: 10 sec
2c) Same concept as 1a
h(t) = -16t² + 288t
AOS: x = = = 9
Answer: 9 sec
2d) Same concept as 1b
h(t) = -16t² + 288t
0 = -16t² + 288t
0 = -16t(t - 18)
0 = -16t 0 = t - 18
t = 0 t = 18
Answer: 18 sec
3e) Same concept as 1a
h(t) = -16t² + 352t
AOS: x = = = 11
Answer: 11 sec
3f) Same concept as 1b
h(t) = -16t² + 352t
0 = -16t² + 352t
0 = -16t(t - 22)
0 = -16t 0 = t - 22
t = 0 t = 22
Answer: 22 sec
Answer:
This might not be right but...
Step-by-step explanation:
jk: 27
nj: 153
jl: 117
knm: 333
mjl: 207
jlk: 297
Im Sorry if its wrong
3(x - 25) < $100. We're not req'd to solve this.
You have the right idea, but the wrong value for p. It should be p = 7/2 = 3.5
You don't round up or down to the nearest whole number.
It is possible to have a decimal value for the amount of pounds or weight of an object.
If p = 3.5, then we use this to find 'a' to be...
a+p = 6.3
a + 3.5 = 6.3
a+3.5-3.5 = 6.3-3.5
a = 2.8
<h3>In summary, Joaquin bought 2.8 pounds of almonds and 3.5 pounds of pistachios. </h3>
We can check the answer by plugging a = 2.8 and p = 3.5 into a+p = 6.3 and you should end up with 6.3 = 6.3; also by plugging a=2.8 and p = 3.5 into 10*a+12*p = 70 to end up with 70 = 70. Both of these facts confirm the answer.