Answer:
x=32° is the correct answer
Step-by-step explanation:
x+75°+73°=180
x+148°=180
x=180°-148°
x=32°
It is a function because every input has exactly one output. It passes the vertical line test.
If you plotted another point at 2 hours it would no longer be a function bc 2 would be an input they had more than one output.
Answer:β=√10 or 3.16 (rounded to 2 decimal places)
Step-by-step explanation:
To find the value of β :
- we will differentiate the y(x) equation twice to get a second order differential equation.
- We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β
y(x)=c1cosβx+c2sinβx
we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.
Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate βx in each case and multiply with the differential of c1cosx and c2sinx respectively.
lastly the differential of sinx= cosx and for cosx = -sinx.
Knowing all these we can proceed to solving the problem.
y=c1cosβx+c2sinβx
y'= β×c1×-sinβx+β×c2×cosβx
y'=-c1βsinβx+c2βcosβx
y''=β×-c1β×cosβx + (β×c2β×-sinβx)
y''= -c1β²cosβx -c2β²sinβx
factorize -β²
y''= -β²(c1cosβx +c2sinβx)
y(x)=c1cosβx+c2sinβx
therefore y'' = -β²y
y''+β²y=0
now we compare this with the second order D.E provided in the question
y''+10y=0
this means that β²y=10y
β²=10
B=√10 or 3.16(2 d.p)
Answer:
a) 3x - 11
b) 10x + 4
Step-by-step explanation:
a) The negative sign before the (x+5) means to subtract those values. Reverse the signs. Then combine like terms:
4x –6 –x –5. 4x–x–6–5
3x –11
b) Put all the x terms together.
Put all the integers together.
Add. Adding a negative is the same as subtracting.
4x+x+5x = 10x
+6-2 = 4
Combine them:
10x + 4
Answer:
21.94
Step-by-step explanation: because i did some basic math